diff --git "a/Gilbert_damping_constant_-_abstract.csv" "b/Gilbert_damping_constant_-_abstract.csv" new file mode 100644--- /dev/null +++ "b/Gilbert_damping_constant_-_abstract.csv" @@ -0,0 +1,103992 @@ +publicationDate,title,abstract,id +2007-08-24,Enhancement of the Gilbert damping constant due to spin pumping in noncollinear ferromagnet/nonmagnet/ferromagnet trilayer systems,"We analyzed the enhancement of the Gilbert damping constant due to spin +pumping in non-collinear ferromagnet / non-magnet / ferromagnet trilayer +systems. We show that the Gilbert damping constant depends both on the +precession angle of the magnetization of the free layer and on the direction of +the magntization of the fixed layer. We find the condition to be satisfied to +realize strong enhancement of the Gilbert damping constant.",0708.3323v1 +2006-12-01,Gilbert damping and spin Coulomb drag in a magnetized electron liquid with spin-orbit interaction,"We present a microscopic calculation of the Gilbert damping constant for the +magnetization of a two-dimensional spin-polarized electron liquid in the +presence of intrinsic spin-orbit interaction. First we show that the Gilbert +constant can be expressed in terms of the auto-correlation function of the +spin-orbit induced torque. Then we specialize to the case of the Rashba +spin-orbit interaction and we show that the Gilbert constant in this model is +related to the spin-channel conductivity. This allows us to study the Gilbert +damping constant in different physical regimes, characterized by different +orderings of the relevant energy scales -- spin-orbit coupling, Zeeman +coupling, momentum relaxation rate, spin-momentum relaxation rate, spin +precession frequency -- and to discuss its behavior in various limits. +Particular attention is paid to electron-electron interaction effects,which +enter the spin conductivity and hence the Gilbert damping constant via the spin +Coulomb drag coefficient.",0612015v1 +2023-09-20,Evaluating Gilbert Damping in Magnetic Insulators from First Principles,"Magnetic damping has a significant impact on the performance of various +magnetic and spintronic devices, making it a long-standing focus of research. +The strength of magnetic damping is usually quantified by the Gilbert damping +constant in the Landau-Lifshitz-Gilbert equation. Here we propose a +first-principles based approach to evaluate the Gilbert damping constant +contributed by spin-lattice coupling in magnetic insulators. The approach +involves effective Hamiltonian models and spin-lattice dynamics simulations. As +a case study, we applied our method to Y$_3$Fe$_5$O$_{12}$, MnFe$_2$O$_4$ and +Cr$_2$O$_3$. Their damping constants were calculated to be $0.8\times10^{-4}$, +$0.2\times10^{-4}$, $2.2\times 10^{-4}$, respectively at a low temperature. The +results for Y$_3$Fe$_5$O$_{12}$ and Cr$_2$O$_3$ are in good agreement with +experimental measurements, while the discrepancy in MnFe$_2$O$_4$ can be +attributed to the inhomogeneity and small band gap in real samples. The +stronger damping observed in Cr$_2$O$_3$, compared to Y$_3$Fe$_5$O$_{12}$, +essentially results from its stronger spin-lattice coupling. In addition, we +confirmed a proportional relationship between damping constants and the +temperature difference of subsystems, which had been reported in previous +studies. These successful applications suggest that our approach serves as a +promising candidate for estimating the Gilbert damping constant in magnetic +insulators.",2309.11152v1 +2011-05-20,"Magnetization Dissipation in the Ferromagnetic Semiconductor (Ga,Mn)As","We compute the Gilbert damping in (Ga,Mn)As based on the scattering theory of +magnetization relaxation. The disorder scattering is included +non-perturbatively. In the clean limit, the spin-pumping from the localized +d-electrons to the itinerant holes dominates the relaxation processes. In the +diffusive regime, the breathing Fermi-surface effect is balanced by the effects +of interband scattering, which cause the Gilbert damping constant to saturate +at around 0.005. In small samples, the system shape induces a large anisotropy +in the Gilbert damping.",1105.4148v2 +2019-11-07,Quantum Oscillations of Gilbert Damping in Ferromagnetic/Graphene Bilayer Systems,"We study the spin dynamics of a ferromagnetic insulator on which graphene is +placed. We show that the Gilbert damping is enhanced by the proximity exchange +coupling at the interface. The modulation of the Gilbert damping constant is +proportional to the product of the spin-up and spin-down densities of states of +graphene. Consequently, the Gilbert damping constant in a strong magnetic field +oscillates as a function of the external magnetic field that originates from +the Landau level structure of graphene. We find that a measurement of the +oscillation period enables the strength of the exchange coupling constant to be +determined. The results demonstrate in theory that the ferromagnetic resonance +measurements may be used to detect the spin resolved electronic structure of +the adjacent materials, which is critically important for future spin device +evaluations.",1911.02775v2 +2018-06-13,Low magnetic damping of ferrimagnetic GdFeCo alloys,"We investigate the Gilbert damping parameter for rare earth (RE)-transition +metal (TM) ferrimagnets over a wide temperature range. Extracted from the +field-driven magnetic domain-wall mobility, the Gilbert damping parameter was +as low as 0.0072 and was almost constant across the angular momentum +compensation temperature, starkly contrasting previous predictions that the +Gilbert damping parameter should diverge at the angular momentum compensation +temperature due to vanishing total angular momentum. Thus, magnetic damping of +RE-TM ferrimagnets is not related to the total angular momentum but is +dominated by electron scattering at the Fermi level where the TM has a dominant +damping role.",1806.04881v1 +2018-05-03,"Exact Intrinsic Localized Excitation of an Anisotropic Ferromagnetic Spin Chain in External Magnetic Field with Gilbert Damping, Spin Current and PT-Symmetry","We obtain the exact one-spin intrinsic localized excitation in an anisotropic +Heisenberg ferromagnetic spin chain in a constant/variable external magnetic +field with Gilbert damping included. We also point out how an appropriate +magnitude spin current term in a spin transfer nano-oscillator (STNO) can +stabilize the tendency towards damping. Further, we show how this excitation +can be sustained in a recently suggested PT-symmetric magnetic nanostructure. +We also briefly consider more general spin excitations.",1805.01230v1 +2019-10-24,Spin waves in ferromagnetic thin films,"A spin wave is the disturbance of intrinsic spin order in magnetic materials. +In this paper, a spin wave in the Landau-Lifshitz-Gilbert equation is obtained +based on the assumption that the spin wave maintains its shape while it +propagates at a constant velocity. Our main findings include: (1) in the +absence of Gilbert damping, the spin wave propagates at a constant velocity +with the increment proportional to the strength of the magnetic field; (2) in +the absence of magnetic field, at a given time the spin wave converges +exponentially fast to its initial profile as the damping parameter goes to zero +and in the long time the relaxation dynamics of the spin wave converges +exponentially fast to the easy-axis direction with the exponent proportional to +the damping parameter; (3) in the presence of both Gilbert damping and magnetic +field, the spin wave converges to the easy-axis direction exponentially fast at +a small timescale while propagates at a constant velocity beyond that. These +provides a comprehensive understanding of spin waves in ferromagnetic +materials.",1910.11200v1 +2018-07-20,Another view on Gilbert damping in two-dimensional ferromagnets,"A keen interest towards technological implications of spin-orbit driven +magnetization dynamics requests a proper theoretical description, especially in +the context of a microscopic framework, to be developed. Indeed, magnetization +dynamics is so far approached within Landau-Lifshitz-Gilbert equation which +characterizes torques on magnetization on purely phenomenological grounds. +Particularly, spin-orbit coupling does not respect spin conservation, leading +thus to angular momentum transfer to lattice and damping as a result. This +mechanism is accounted by the Gilbert damping torque which describes relaxation +of the magnetization to equilibrium. In this study we work out a microscopic +Kubo-St\v{r}eda formula for the components of the Gilbert damping tensor and +apply the elaborated formalism to a two-dimensional Rashba ferromagnet in the +weak disorder limit. We show that an exact analytical expression corresponding +to the Gilbert damping parameter manifests linear dependence on the scattering +rate and retains the constant value up to room temperature when no vibrational +degrees of freedom are present in the system. We argue that the methodology +developed in this paper can be safely applied to bilayers made of non- and +ferromagnetic metals, e.g., CoPt.",1807.07897v2 +2019-07-10,The superior role of the Gilbert damping on the signal-to-noise ratio in heat-assisted magnetic recording,"In magnetic recording the signal-to-noise ratio (SNR) is a good indicator for +the quality of written bits. However, a priori it is not clear which parameters +have the strongest influence on the SNR. In this work, we investigate the role +of the Gilbert damping on the SNR. Grains consisting of FePt like hard magnetic +material with two different grain sizes $d_1=5\,$nm and $d_2=7\,$nm are +considered and simulations of heat-assisted magnetic recording (HAMR) are +performed with the atomistic simulation program VAMPIRE. The simulations +display that the SNR saturates for damping constants larger or equal than 0.1. +Additionally, we can show that the Gilbert damping together with the bit length +have a major effect on the SNR whereas other write head and material parameters +only have a minor relevance on the SNR.",1907.04577v2 +2017-11-20,Spin Pumping in Ion-beam Sputtered Co_{2}FeAl/Mo Bilayers:Interfacial Gilbert Damping,"The spin pumping mechanism and associated interfacial Gilbert damping are +demonstrated in ion-beam sputtered Co2FeAl (CFA) /Mo bilayer thin films +employing ferromagnetic resonance spectroscopy. The dependence of the net spin +current transportation on Mo layer thickness, 0 to 10 nm, and the enhancement +of the net effective Gilbert damping are reported. The experimental data has +been analyzed using spin pumping theory in terms of spin current pumped through +the ferromagnet /nonmagnetic metal interface to deduce the effective spin +mixing conductance and the spin-diffusion length, which are estimated to be +1.16(0.19)x10^19 m^-2 and 3.50(0.35)nm, respectively. The damping constant is +found to be 8.4(0.3)x10^-3 in the Mo(3.5nm) capped CFA(8nm) sample +corresponding to a ~42% enhancement of the original Gilbert damping +(6.0(0.3)x10^-3) in the uncapped CFA layer. This is further confirmed by +inserting a Cu dusting layer which reduces the spin transport across the CFA +/Mo interface. The Mo layer thickness dependent net spin current density is +found to lie in the range of 1-3 MAm^-2, which also provides additional +quantitative evidence of spin pumping in this bilayer thin film system.",1711.07455v1 +2006-06-09,Spin wave dynamics and the determination of intrinsic Gilbert damping in locally-excited Permalloy thin films,"Time-resolved scanning Kerr effect microscopy has been used to study +magnetization dynamics in Permalloy thin films excited by transient magnetic +pulses generated by a micrometer-scale transmission line structure. The results +are consistent with magnetostatic spin wave theory and are supported by +micromagnetic simulations. Magnetostatic volume and surface spin waves are +measured for the same specimen using different bias field orientations and can +be accurately calculated by k-space integrations over all excited plane wave +components. A single damping constant of Gilbert form is sufficient to describe +both scenarios. The nonuniform pulsed field plays a key role in the spin wave +dynamics, with its Fourier transform serving as a weighting function for the +participating modes. The intrinsic Gilbert damping parameter $\alpha$ is most +conveniently measured when the spin waves are effectively stationary.",0606235v3 +2019-11-08,Giant anisotropy of Gilbert damping in a Rashba honeycomb antiferromagnet,"Giant Gilbert damping anisotropy is identified as a signature of strong +Rashba spin-orbit coupling in a two-dimensional antiferromagnet on a honeycomb +lattice. The phenomenon originates in spin-orbit induced splitting of +conduction electron subbands that strongly suppresses certain spin-flip +processes. As a result, the spin-orbit interaction is shown to support an +undamped non-equilibrium dynamical mode that corresponds to an ultrafast +in-plane N\'eel vector precession and a constant perpendicular-to-the-plane +magnetization. The phenomenon is illustrated on the basis of a two dimensional +$s$-$d$ like model. Spin-orbit torques and conductivity are also computed +microscopically for this model. Unlike Gilbert damping these quantities are +shown to reveal only a weak anisotropy that is limited to the semiconductor +regime corresponding to the Fermi energy staying in a close vicinity of +antiferromagnetic gap.",1911.03408v1 +2017-09-29,Non-local Gilbert damping tensor within the torque-torque correlation model,"An essential property of magnetic devices is the relaxation rate in magnetic +switching which depends strongly on the damping in the magnetisation dynamics. +It was recently measured that damping depends on the magnetic texture and, +consequently, is a non-local quantity. The damping enters the +Landau-Lifshitz-Gilbert equation as the phenomenological Gilbert damping +parameter $\alpha$, that does not, in a straight forward formulation, account +for non-locality. Efforts were spent recently to obtain Gilbert damping from +first principles for magnons of wave vector $\mathbf{q}$. However, to the best +of our knowledge, there is no report about real space non-local Gilbert damping +$\alpha_{ij}$. Here, a torque-torque correlation model based on a tight binding +approach is applied to the bulk elemental itinerant magnets and it predicts +significant off-site Gilbert damping contributions, that could be also +negative. Supported by atomistic magnetisation dynamics simulations we reveal +the importance of the non-local Gilbert damping in atomistic magnetisation +dynamics. This study gives a deeper understanding of the dynamics of the +magnetic moments and dissipation processes in real magnetic materials. Ways of +manipulating non-local damping are explored, either by temperature, material's +doping or strain.",1709.10365v1 +2021-05-08,A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters,"A second order accurate numerical scheme is proposed and implemented for the +Landau-Lifshitz-Gilbert equation, which models magnetization dynamics in +ferromagnetic materials, with large damping parameters. The main advantages of +this method are associated with the following features: (1) It only solves +linear systems of equations with constant coefficients where fast solvers are +available, so that the numerical efficiency has been greatly improved, in +comparison with the existing Gauss-Seidel project method. (2) The second-order +accuracy in time is achieved, and it is unconditionally stable for large +damping parameters. Moreover, both the second-order accuracy and the great +efficiency improvement will be verified by several numerical examples in the 1D +and 3D simulations. In the presence of large damping parameters, it is observed +that this method is unconditionally stable and finds physically reasonable +structures while many existing methods have failed. For the domain wall +dynamics, the linear dependence of wall velocity with respect to the damping +parameter and the external magnetic field will be obtained through the reported +simulations.",2105.03576v1 +2016-02-23,Experimental Investigation of Temperature-Dependent Gilbert Damping in Permalloy Thin Films,"The Gilbert damping of ferromagnetic materials is arguably the most important +but least understood phenomenological parameter that dictates real-time +magnetization dynamics. Understanding the physical origin of the Gilbert +damping is highly relevant to developing future fast switching spintronics +devices such as magnetic sensors and magnetic random access memory. Here, we +report an experimental study of temperature-dependent Gilbert damping in +permalloy (Py) thin films of varying thicknesses by ferromagnetic resonance. +From the thickness dependence, two independent contributions to the Gilbert +damping are identified, namely bulk damping and surface damping. Of particular +interest, bulk damping decreases monotonically as the temperature decreases, +while surface damping shows an enhancement peak at the temperature of ~50 K. +These results provide an important insight to the physical origin of the +Gilbert damping in ultrathin magnetic films.",1602.07325v1 +2019-02-22,Strongly Enhanced Gilbert Damping in 3d Transition Metal Ferromagnet Monolayers in Contact with Topological Insulator Bi2Se3,"Engineering Gilbert damping of ferromagnetic metal films is of great +importance to exploit and design spintronic devices that are operated with an +ultrahigh speed. Based on scattering theory of Gilbert damping, we extend the +torque method originally used in studies of magnetocrystalline anisotropy to +theoretically determine Gilbert dampings of ferromagnetic metals. This method +is utilized to investigate Gilbert dampings of 3d transition metal ferromagnet +iron, cobalt and nickel monolayers that are contacted by the prototypical +topological insulator Bi2Se3. Amazingly, we find that their Gilbert dampings +are strongly enhanced by about one order in magnitude, compared with dampings +of their bulks and free-standing monolayers, owing to the strong spin-orbit +coupling of Bi2Se3. Our work provides an attractive route to tailoring Gilbert +damping of ferromagnetic metallic films by putting them in contact with +topological insulators.",1902.08700v1 +2004-12-18,Fluctuations of the Magnetization in Thin Films due to Conduction Electrons,"A detailed analysis of damping and noise due to a {\it sd}-interaction in a +thin ferromagnetic film sandwiched between two large normal metal layers is +carried out. The magnetization is shown to obey in general a non-local equation +of motion which differs from the the Gilbert equation and is extended to the +non-adiabatic regime. To lowest order in the exchange interaction and in the +limit where the Gilbert equation applies, we show that the damping term is +enhanced due to interfacial effects but it also shows oscillations as a +function of the film thickness. The noise calculation is however carried out to +all orders in the exchange coupling constant. The ellipticity of the precession +of the magnetization is taken into account. The damping is shown to have a +Gilbert form only in the adiabatic limit while the relaxation time becomes +strongly dependent on the geometry of the thin film. It is also shown that the +induced noise characteristic of sd-exchange is inherently colored in character +and depends on the symmetry of the Hamiltonian of the magnetization in the +film. We show that the sd-noise can be represented in terms of an external +stochastic field which is white only in the adiabatic regime. The temperature +is also renormalized by the spin accumulation in the system. For large +intra-atomic exchange interactions, the Gilbert-Brown equation is no longer +valid.",0412510v1 +2018-04-02,Anisotropic Gilbert damping in perovskite La$_{0.7}$Sr$_{0.3}$MnO$_{3}$ thin film,"The viscous Gilbert damping parameter governing magnetization dynamics is of +primary importance for various spintronics applications. Although, the damping +constant is believed to be anisotropic by theories. It is commonly treated as a +scalar due to lack of experimental evidence. Here, we present an elaborate +angle dependent broadband ferromagnetic resonance study of high quality +epitaxial La$_{0.7}$Sr$_{0.3}$MnO$_{3}$ films. Extrinsic effects are suppressed +and we show convincing evidence of anisotropic damping with twofold symmetry at +room temperature. The observed anisotropic relaxation is attributed to the +magnetization orientation dependence of the band structure. In addition, we +demonstrated that such anisotropy can be tailored by manipulating the stain. +This work provides new insights to understand the mechanism of magnetization +relaxation.",1804.00554v1 +2009-04-21,Tensor damping in metallic magnetic multilayers,"The mechanism of spin-pumping, described by Tserkovnyak et al., is formally +analyzed in the general case of a magnetic multilayer consisting of two or more +metallic ferromagnetic (FM) films separated by normal metal (NM) layers. It is +shown that the spin-pumping-induced dynamic coupling between FM layers modifies +the linearized Gilbert equations in a way that replaces the scalar Gilbert +damping constant with a nonlocal matrix of Cartesian damping tensors. The +latter are shown to be methodically calculable from a matrix algebra solution +of the Valet-Fert transport equations. As an example, explicit analytical +results are obtained for a 5-layer (spin-valve) of form NM/FM/NM'/FM/NM. +Comparisons with earlier well known results of Tserkovnyak et al. for the +related 3-layer FM/NM/FM indicate that the latter inadvertently hid the tensor +character of the damping, and instead singled out the diagonal element of the +local damping tensor along the axis normal to the plane of the two +magnetization vectors. For spin-valve devices of technological interest, the +influence of the tensor components of the damping on thermal noise or +spin-torque critical currents are strongly weighted by the relative magnitude +of the elements of the nonlocal, anisotropic stiffness-field tensor-matrix, and +for in-plane magnetized spin-valves are generally more sensitive to the +in-plane element of the damping tensor.",0904.3150v2 +2023-12-20,An effective field theory of damped ferromagnetic systems,"Using the in-in formalism, we generalize the recently constructed +magnetoelastic EFT arXiv:2112.13873 [hep-th] to describe the damping dynamics +of ferromagnetic systems at long wavelengths. We find that the standard Gilbert +damping term naturally arises as the simplest leading-order symmetry-consistent +non-conservative contribution within the in-in framework. The EFT is easily +generalized to scenarios with anisotropy and inhomogeneity. In particular, we +find the classic Landau-Lifshitz damping term emerges when isotropy is broken +by a constant external background field. This provides a first principle +explanation for distinguishing the two types of damping dynamics that were +originally constructed phenomenologically. Furthermore, the EFT framework could +also incorporate intrinsic anisotropy of the material in a straightforward way +using the spurion method. For systems with inhomogeneity such as nontrivial +spin textures, we find that the leading order derivative correction yields the +generalized Gilbert damping equations that were found in condensed matter +literature. This shows that the EFT approach enables us to derive the form of +higher-derivative-order corrections in a systematic way. Lastly, using the +phonon-magnon coupling deduced in the magnetoelastic EFT, we are able to make a +prediction for the generic form of the phononic contribution to the damping +equation.",2312.13093v1 +2019-09-06,The interplay of large two-magnon ferromagnetic resonance linewidths and low Gilbert damping in Heusler thin films,"We report on broadband ferromagnetic resonance linewidth measurements +performed on epitaxial Heusler thin films. A large and anisotropic two-magnon +scattering linewidth broadening is observed for measurements with the +magnetization lying in the film plane, while linewidth measurements with the +magnetization saturated perpendicular to the sample plane reveal low Gilbert +damping constants of $(1.5\pm0.1)\times 10^{-3}$, $(1.8\pm0.2)\times 10^{-3}$, +and $<8\times 10^{-4}$ for Co$_2$MnSi/MgO, Co$_2$MnAl/MgO, and Co$_2$FeAl/MgO, +respectively. The in-plane measurements are fit to a model combining Gilbert +and two-magnon scattering contributions to the linewidth, revealing a +characteristic disorder lengthscale of 10-100 nm.",1909.02738v2 +2018-02-15,Damping's effect on the magnetodynamics of spin Hall nano-oscillators,"We study the impact of spin wave damping ($\alpha$) on the auto-oscillation +properties of nano-constriction based spin Hall nano-oscillators (SHNOs). The +SHNOs are based on a 5 nm Pt layer interfaced to a 5 nm +Py$_{100-x-y}$Pt$_{x}$Ag$_{y}$ magnetic layer, where the Pt and Ag contents are +co-varied to keep the saturation magnetization constant (within 10 %), while +$\alpha$ varies close to a factor of three. We systematically investigate the +influence of the Gilbert damping on the magnetodynamics of these SHNOs by means +of electrical microwave measurements. Under the condition of a constant field, +the threshold current scales with the damping in the magnetic layer. The +threshold current as a function of field shows a parabolic-like behavior, which +we attribute to the evolution of the spatial profile of the auto-oscillation +mode. The signal linewidth is smaller for the high-damping materials in low +magnetic fields, although the lowest observed linewidth was measured for the +alloy with least damping.",1802.05548v1 +2015-09-06,Study of spin dynamics and damping on the magnetic nanowire arrays with various nanowire widths,"We investigate the spin dynamics including Gilbert damping in the +ferromagnetic nanowire arrays. We have measured the ferromagnetic resonance of +ferromagnetic nanowire arrays using vector-network analyzer ferromagnetic +resonance (VNA-FMR) and analyzed the results with the micromagnetic +simulations. We find excellent agreement between the experimental VNA-FMR +spectra and micromagnetic simulations result for various applied magnetic +fields. We find that the demagnetization factor for longitudinal conditions, Nz +(Ny) increases (decreases) as decreasing the nanowire width in the +micromagnetic simulations. For the transverse magnetic field, Nz (Ny) increases +(decreases) as increasing the nanowire width. We also find that the Gilbert +damping constant increases from 0.018 to 0.051 as the increasing nanowire width +for the transverse case, while it is almost constant as 0.021 for the +longitudinal case.",1509.01807v1 +2005-03-24,Fast magnetization switching of Stoner particles: A nonlinear dynamics picture,"The magnetization reversal of Stoner particles is investigated from the point +of view of nonlinear dynamics within the Landau-Lifshitz-Gilbert formulation. +The following results are obtained. 1) We clarify that the so-called +Stoner-Wohlfarth (SW) limit becomes exact when damping constant is infinitely +large. Under the limit, the magnetization moves along the steepest energy +descent path. The minimal switching field is the one at which there is only one +stable fixed point in the system. 2) For a given magnetic anisotropy, there is +a critical value for the damping constant, above which the minimal switching +field is the same as that of the SW-limit. 3) We illustrate how fixed points +and their basins change under a field along different directions. This change +explains well why a non-parallel field gives a smaller minimal switching field +and a short switching time. 4) The field of a ballistic magnetization reversal +should be along certain direction window in the presence of energy dissipation. +The width of the window depends on both of the damping constant and the +magnetic anisotropy. The upper and lower bounds of the direction window +increase with the damping constant. The window width oscillates with the +damping constant for a given magnetic anisotropy. It is zero for both zero and +infinite damping. Thus, the perpendicular field configuration widely employed +in the current experiments is not the best one since the damping constant in a +real system is far from zero.",0503594v1 +2018-08-20,Gilbert damping of [Co/Pd]n/Py multilayer thin films,"Understanding the Gilbert damping in exchange-coupled multilayer materials is +particularly important to develop future fast switching spintronics devices. +Here, we report an experimental investigation of temperature-dependent Gilbert +damping in [Co/Pd]n/Py multilayer films of varying the number of Co/Pd +repetitions by ferromagnetic resonance. The results demonstrate that three +independent contributions to the Gilbert damping are identified, namely the +intrinsic Gilbert damping, the inhomogeneous linewidth broadening and the +two-magnon scattering contribution. Of particular interest, the two-magnon +scattering intensity increases as the enlargement of number repetitions of +Co/Pd due to the larger pinning effect at the interface between Py and the +Co/Pd layers. The Gilbert damping increases monotonically as the temperature +decreases from 300K to 50K. Our findings open the door to comprehend the +physical origin of the Gilbert damping in ultrathin exchange-coupled multilayer +films.",1808.06515v2 +2023-05-17,Material Parameters for Faster Ballistic Switching of an In-plane Magnetized Nanomagnet,"High-speed magnetization switching of a nanomagnet is necessary for faster +information processing. The ballistic switching by a pulsed magnetic filed is a +promising candidate for the high-speed switching. It is known that the +switching speed of the ballistic switching can be increased by increasing the +magnitude of the pulsed magnetic field. However it is difficult to generate a +strong and short magnetic field pulse in a small device. Here we explore +another direction to achieve the high-speed ballistic switching by designing +material parameters such as anisotropy constant, saturation magnetization, and +the Gilbert damping constant. We perform the macrospin simulations for the +ballistic switching of in-plane magnetized nano magnets with varying material +parameters. The results are analyzed based on the switching dynamics on the +energy density contour. We show that the pulse width required for the ballistic +switching can be reduced by increasing the magnetic anisotropy constant or by +decreasing the saturation magnetization. We also show that there exists an +optimal value of the Gilbert damping constant that minimizes the pulse width +required for the ballistic switching.",2305.10111v1 +2015-11-16,Determination of intrinsic damping of perpendicularly magnetized ultrathin films from time resolved precessional magnetization measurements,"Magnetization dynamics are strongly influenced by damping. An effective +damping constant {\alpha}eff is often determined experimentally from the +spectral linewidth of the free induction decay of the magnetization after the +system is excited to its non-equilibrium state. Such an {\alpha}eff, however, +reflects both intrinsic damping as well as inhomogeneous broadening. In this +paper we compare measurements of the magnetization dynamics in ultrathin +non-epitaxial films having perpendicular magnetic anisotropy using two +different techniques, time-resolved magneto optical Kerr effect (TRMOKE) and +hybrid optical-electrical ferromagnetic resonance (OFMR). By using an external +magnetic field that is applied at very small angles to the film plane in the +TRMOKE studies, we develop an explicit closed-form analytical expression for +the TRMOKE spectral linewidth and show how this can be used to reliably extract +the intrinsic Gilbert damping constant. The damping constant determined in this +way is in excellent agreement with that determined from the OFMR method on the +same samples. Our studies indicate that the asymptotic high-field approach that +is often used in the TRMOKE method to distinguish the intrinsic damping from +the effective damping may result in significant error, because such high +external magnetic fields are required to make this approach valid that they are +out of reach. The error becomes larger the lower is the intrinsic damping +constant, and thus may account for the anomalously high damping constants that +are often reported in TRMOKE studies. In conventional ferromagnetic resonance +(FMR) studies, inhomogeneous contributions can be readily distinguished from +intrinsic damping contributions from the magnetic field dependence of the FMR +linewidth. Using the analogous approach, we show how reliable values of the +intrinsic damping can be extracted from TRMOKE.",1511.04802v1 +2016-03-25,Large spin pumping effect in antisymmetric precession of Ni$_{79}$Fe$_{21}$/Ru/Ni$_{79}$Fe$_{21}$,"In magnetic trilayer structures, a contribution to the Gilbert damping of +ferromagnetic resonance arises from spin currents pumped from one layer to +another. This contribution has been demonstrated for layers with weakly +coupled, separated resonances, where magnetization dynamics are excited +predominantly in one layer and the other layer acts as a spin sink. Here we +show that trilayer structures in which magnetizations are excited +simultaneously, antisymmetrically, show a spin-pumping effect roughly twice as +large. The antisymmetric (optical) mode of antiferromagnetically coupled +Ni$_{79}$Fe$_{21}$(8nm)/Ru/Ni$_{79}$Fe$_{21}$(8nm) trilayers shows a Gilbert +damping constant greater than that of the symmetric (acoustic) mode by an +amount as large as the intrinsic damping of Py ($\Delta +\alpha\simeq\textrm{0.006}$). The effect is shown equally in field-normal and +field-parallel to film plane geometries over 3-25 GHz. The results confirm a +prediction of the spin pumping model and have implications for the use of +synthetic antiferromagnets (SAF)-structures in GHz devices.",1603.07977v1 +2015-11-13,Magnified Damping under Rashba Spin Orbit Coupling,"The spin orbit coupling spin torque consists of the field-like [REF: S.G. Tan +et al., arXiv:0705.3502, (2007).] and the damping-like terms [REF: H. +Kurebayashi et al., Nature Nanotechnology 9, 211 (2014).] that have been widely +studied for applications in magnetic memory. We focus, in this article, not on +the spin orbit effect producing the above spin torques, but on its magnifying +the damping constant of all field like spin torques. As first order precession +leads to second order damping, the Rashba constant is naturally co-opted, +producing a magnified field-like damping effect. The Landau-Liftshitz-Gilbert +equations are written separately for the local magnetization and the itinerant +spin, allowing the progression of magnetization to be self-consistently locked +to the spin.",1511.04227v1 +2022-05-13,Precession dynamics of a small magnet with non-Markovian damping: Theoretical proposal for an experiment to determine the correlation time,"Recent advances in experimental techniques have made it possible to +manipulate and measure the magnetization dynamics on the femtosecond time scale +which is the same order as the correlation time of the bath degrees of freedom. +In the equations of motion of magnetization, the correlation of the bath is +represented by the non-Markovian damping. For development of the science and +technologies based on the ultrafast magnetization dynamics it is important to +understand how the magnetization dynamics depend on the correlation time. It is +also important to determine the correlation time experimentally. Here we study +the precession dynamics of a small magnet with the non-Markovian damping. +Extending the theoretical analysis of Miyazaki and Seki [J. Chem. Phys. 108, +7052 (1998)] we obtain analytical expressions of the precession angular +velocity and the effective damping constant for any values of the correlation +time under assumption of small Gilbert damping constant. We also propose a +possible experiment for determination of the correlation time.",2205.06399v1 +2002-07-19,Gilbert Damping in Magnetic Multilayers,"We study the enhancement of the ferromagnetic relaxation rate in thin films +due to the adjacent normal metal layers. Using linear response theory, we +derive the dissipative torque produced by the s-d exchange interaction at the +ferromagnet-normal metal interface. For a slow precession, the enhancement of +Gilbert damping constant is proportional to the square of the s-d exchange +constant times the zero-frequency limit of the frequency derivative of the +local dynamic spin susceptibility of the normal metal at the interface. +Electron-electron interactions increase the relaxation rate by the Stoner +factor squared. We attribute the large anisotropic enhancements of the +relaxation rate observed recently in multilayers containing palladium to this +mechanism. For free electrons, the present theory compares favorably with +recent spin-pumping result of Tserkovnyak et al. [Phys. Rev. Lett. +\textbf{88},117601 (2002)].",0207471v1 +2018-10-17,Perpendicularly magnetized YIG films with small Gilbert damping constant and anomalous spin transport properties,"The Y3Fe5O12 (YIG) films with perpendicular magnetic anisotropy (PMA) have +recently attracted a great deal of attention for spintronics applications. +Here, we report the induced PMA in the ultrathin YIG films grown on +(Gd2.6Ca0.4)(Ga4.1Mg0.25Zr0.65)O12 (SGGG) substrates by epitaxial strain +without preprocessing. Reciprocal space mapping shows that the films are +lattice-matched to the substrates without strain relaxation. Through +ferromagnetic resonance and polarized neutron reflectometry measurements, we +find that these YIG films have ultra-low Gilbert damping constant with a +magnetic dead layer as thin as about 0.3 nm at the YIG/SGGG interfaces. +Moreover, the transport behavior of the Pt/YIG/SGGG films reveals an +enhancement of spin mixing conductance and a large non-monotonic magnetic field +dependence of anomalous Hall effect as compared with the Pt/YIG/Gd3Ga5O12 (GGG) +films. The non-monotonic anomalous Hall signal is extracted in the temperature +range from 150 to 350 K, which has been ascribed to the possible non-collinear +magnetic order at the Pt/YIG interface induced by uniaxial strain.",1810.07384v2 +2017-06-14,Temperature-dependent Gilbert damping of Co2FeAl thin films with different degree of atomic order,"Half-metallicity and low magnetic damping are perpetually sought for in +spintronics materials and full Heusler alloys in this respect provide +outstanding properties. However, it is challenging to obtain the well-ordered +half-metallic phase in as-deposited full Heusler alloys thin films and theory +has struggled to establish a fundamentals understanding of the temperature +dependent Gilbert damping in these systems. Here we present a study of the +temperature dependent Gilbert damping of differently ordered as-deposited +Co2FeAl full Heusler alloy thin films. The sum of inter- and intraband electron +scattering in conjunction with the finite electron lifetime in Bloch states +govern the Gilbert damping for the well-ordered phase in contrast to the +damping of partially-ordered and disordered phases which is governed by +interband electronic scattering alone. These results, especially the ultralow +room temperature intrinsic damping observed for the well-ordered phase provide +new fundamental insights to the physical origin of the Gilbert damping in full +Heusler alloy thin films.",1706.04670v2 +2023-11-27,Gilbert damping in two-dimensional metallic anti-ferromagnets,"A finite spin life-time of conduction electrons may dominate Gilbert damping +of two-dimensional metallic anti-ferromagnets or anti-ferromagnet/metal +heterostructures. We investigate the Gilbert damping tensor for a typical +low-energy model of a metallic anti-ferromagnet system with honeycomb magnetic +lattice and Rashba spin-orbit coupling for conduction electrons. We distinguish +three regimes of spin relaxation: exchange-dominated relaxation for weak +spin-orbit coupling strength, Elliot-Yafet relaxation for moderate spin-orbit +coupling, and Dyakonov-Perel relaxation for strong spin-orbit coupling. We +show, however, that the latter regime takes place only for the in-plane Gilbert +damping component. We also show that anisotropy of Gilbert damping persists for +any finite spin-orbit interaction strength provided we consider no spatial +variation of the N\'eel vector. Isotropic Gilbert damping is restored only if +the electron spin-orbit length is larger than the magnon wavelength. Our theory +applies to MnPS3 monolayer on Pt or to similar systems.",2311.16268v2 +2018-07-31,"Comparative study of methodologies to compute the intrinsic Gilbert damping: interrelations, validity and physical consequences","Relaxation effects are of primary importance in the description of magnetic +excitations, leading to a myriad of methods addressing the phenomenological +damping parameters. In this work, we consider several well-established forms of +calculating the intrinsic Gilbert damping within a unified theoretical +framework, mapping out their connections and the approximations required to +derive each formula. This scheme enables a direct comparison of the different +methods on the same footing and a consistent evaluation of their range of +validity. Most methods lead to very similar results for the bulk ferromagnets +Fe, Co and Ni, due to the low spin-orbit interaction strength and the absence +of the spin pumping mechanism. The effects of inhomogeneities, temperature and +other sources of finite electronic lifetime are often accounted for by an +empirical broadening of the electronic energy levels. We show that the +contribution to the damping introduced by this broadening is additive, and so +can be extracted by comparing the results of the calculations performed with +and without spin-orbit interaction. Starting from simulated ferromagnetic +resonance spectra based on the underlying electronic structure, we +unambiguously demonstrate that the damping parameter obtained within the +constant broadening approximation diverges for three-dimensional bulk magnets +in the clean limit, while it remains finite for monolayers. Our work puts into +perspective the several methods available to describe and compute the Gilbert +damping, building a solid foundation for future investigations of magnetic +relaxation effects in any kind of material.",1807.11808v3 +2003-10-13,Domain wall mobility in nanowires: transverse versus vortex walls,"The motion of domain walls in ferromagnetic, cylindrical nanowires is +investigated numerically by solving the Landau-Lifshitz-Gilbert equation for a +classical spin model in which energy contributions from exchange, crystalline +anisotropy, dipole-dipole interaction, and a driving magnetic field are +considered. Depending on the diameter, either transverse domain walls or vortex +walls are found. The transverse domain wall is observed for diameters smaller +than the exchange length of the given material. Here, the system behaves +effectively one-dimensional and the domain wall mobility agrees with a result +derived for a one-dimensional wall by Slonczewski. For low damping the domain +wall mobility decreases with decreasing damping constant. With increasing +diameter, a crossover to a vortex wall sets in which enhances the domain wall +mobility drastically. For a vortex wall the domain wall mobility is described +by the Walker-formula, with a domain wall width depending on the diameter of +the wire. The main difference is the dependence on damping: for a vortex wall +the domain wall mobility can be drastically increased for small values of the +damping constant up to a factor of $1/\alpha^2$.",0310277v1 +2017-09-21,Low Gilbert Damping Constant in Perpendicularly Magnetized W/CoFeB/MgO Films with High Thermal Stability,"Perpendicular magnetic materials with low damping constant and high thermal +stability have great potential for realizing high-density, non-volatile, and +low-power consumption spintronic devices, which can sustain operation +reliability for high processing temperatures. In this work, we study the +Gilbert damping constant ({\alpha}) of perpendicularly magnetized W/CoFeB/MgO +films with a high perpendicular magnetic anisotropy (PMA) and superb thermal +stability. The {\alpha} of these PMA films annealed at different temperatures +is determined via an all-optical Time-Resolved Magneto-Optical Kerr Effect +method. We find that {\alpha} of these W/CoFeB/MgO PMA films decreases with +increasing annealing temperature, reaches a minimum of {\alpha} = 0.016 at an +annealing temperature of 350 {\deg}C, and then increases to 0.024 after +post-annealing at 400 {\deg}C. The minimum {\alpha} observed at 350 {\deg}C is +rationalized by two competing effects as the annealing temperature becomes +higher: the enhanced crystallization of CoFeB and dead-layer growth occurring +at the two interfaces of the CoFeB layer. We further demonstrate that {\alpha} +of the 400 {\deg}C-annealed W/CoFeB/MgO film is comparable to that of a +reference Ta/CoFeB/MgO PMA film annealed at 300 {\deg}C, justifying the +enhanced thermal stability of the W-seeded CoFeB films.",1709.07483v1 +2008-07-31,Scattering Theory of Gilbert Damping,"The magnetization dynamics of a single domain ferromagnet in contact with a +thermal bath is studied by scattering theory. We recover the +Landau-Liftshitz-Gilbert equation and express the effective fields and Gilbert +damping tensor in terms of the scattering matrix. Dissipation of magnetic +energy equals energy current pumped out of the system by the time-dependent +magnetization, with separable spin-relaxation induced bulk and spin-pumping +generated interface contributions. In linear response, our scattering theory +for the Gilbert damping tensor is equivalent with the Kubo formalism.",0807.5009v1 +2006-11-22,Magnetization damping in a local-density approximation,"The linear response of itinerant transition metal ferromagnets to transverse +magnetic fields is studied in a self-consistent adiabatic local-density +approximation. The susceptibility is calculated from a microscopic Hamiltonian, +including spin-conserving impurities, impurity induced spin-orbit interaction +and magnetic impurities using the Keldysh formalism. The Gilbert damping +constant in the Landau-Lifshitz-Gilbert equation is identified, parametrized by +an effective transverse spin dephasing rate, and is found to be inversely +proportional to the exchange splitting. Our result justify the phenomenological +treatment of transverse spin dephasing in the study of current-induced +magnetization dynamics in weak, itinerant ferromagnets by Tserkovnyak +\textit{et al.}. We show that neglect of gradient corrections in the +quasiclassical transport equations leads to incorrect results when the exchange +potential becomes of the order of the Fermi energy.",0611588v1 +2020-08-14,Large enhancement of spin pumping due to the surface bound states in normal metal/superconductor structures,"We show that the spin pumping from ferromagnetic insulator into the adjacent +metallic spin sink can be strongly stimulated by the superconducting +correlations. + The key physical mechanism responsible for this effect is the presence of +quasiparticle surface states at the ferromagnetic insulator/superconductor +interface. We consider the minimal model when these states appear because of +the suppressed pairing constant within the interfacial normal layer. For thin +normal layers we obtain a strongly peaked temperature dependence of the Gilbert +damping coefficient which has been recently observed in such systems. For +thicker normal layers the Gilbert damping monotonically increases down to the +temperatures much smaller than the critical one. The suggested model paves the +way to controlling the temperature dependence of the spin pumping by +fabricating hybrid normal metal/superconductor spin sinks.",2008.06253v1 +2024-01-18,Real-space nonlocal Gilbert damping from exchange torque correlation applied to bulk ferromagnets and their surfaces,"In this work we present an ab initio scheme based on linear response theory +of exchange torque correlation, implemented into the real-space +Korringa-Kohn-Rostoker (RS-KKR) framework to calculate diagonal elements of the +atomic-site-dependent intrinsic Gilbert damping tensor. The method is first +applied to bcc iron and fcc cobalt bulk systems. Beside reproducing earlier +results from the literature for those bulk magnets, the effect of the lattice +compression is also studied for Fe bulk, and significant changes for the +Gilbert damping are found. Furthermore, (001)-oriented surfaces of Fe and Co +are also investigated. It is found that the on-site Gilbert damping increases +in the surface atomic layer and decreases in the subsurface layer, and +approaches the bulk value moving further inside the magnets. Realistic atomic +relaxation of the surface layers enhances the identified effects. The +first-neighbor damping parameters are extremely sensitive to the surface +relaxation. Despite their inhomogeneity caused by the surface, the transverse +Gilbert damping tensor components remain largely insensitive to the +magnetization direction.",2401.09938v2 +2007-06-12,Gilbert and Landau-Lifshitz damping in the presense of spin-torque,"A recent article by Stiles et al. (cond-mat/0702020) argued in favor of the +Landau-Lifshitz damping term in the micromagnetic equations of motion over that +of the more commonly accepted Gilbert damping form. Much of their argument +revolved around spin-torque driven domain wall motion in narrow magnetic wires, +since the presence of spin-torques can more acutely draw a distinction between +the two forms of damping. In this article, the author uses simple arguments and +examples to offer an alternative point of view favoring Gilbert.",0706.1736v1 +2008-04-04,Inhomogeneous Gilbert damping from impurities and electron-electron interactions,"We present a unified theory of magnetic damping in itinerant electron +ferromagnets at order $q^2$ including electron-electron interactions and +disorder scattering. We show that the Gilbert damping coefficient can be +expressed in terms of the spin conductivity, leading to a Matthiessen-type +formula in which disorder and interaction contributions are additive. In a weak +ferromagnet regime, electron-electron interactions lead to a strong enhancement +of the Gilbert damping.",0804.0820v2 +2015-03-04,Critical current destabilizing perpendicular magnetization by the spin Hall effect,"The critical current needed to destabilize the magnetization of a +perpendicular ferromagnet via the spin Hall effect is studied. Both the +dampinglike and fieldlike torques associated with the spin current generated by +the spin Hall effect is included in the Landau-Lifshitz-Gilbert equation to +model the system. In the absence of the fieldlike torque, the critical current +is independent of the damping constant and is much larger than that of +conventional spin torque switching of collinear magnetic systems, as in +magnetic tunnel junctions. With the fieldlike torque included, we find that the +critical current scales with the damping constant as $\alpha^{0}$ (i.e., +damping independent),$\alpha$, and $\alpha^{1/2}$ depending on the sign of the +fieldlike torque and other parameters such as the external field. Numerical and +analytical results show that the critical current can be significantly reduced +when the fieldlike torque possesses the appropriate sign, i.e. when the +effective field associated with the fieldlike torque is pointing opposite to +the spin direction of the incoming electrons. These results provide a pathway +to reducing the current needed to switch magnetization using the spin Hall +effect.",1503.01478v2 +2015-10-23,Laser-induced THz magnetization precession for a tetragonal Heusler-like nearly compensated ferrimagnet,"Laser-induced magnetization precessional dynamics was investigated in +epitaxial films of Mn$_3$Ge, which is a tetragonal Heusler-like nearly +compensated ferrimagnet. The ferromagnetic resonance (FMR) mode was observed, +the precession frequency for which exceeded 0.5 THz and originated from the +large magnetic anisotropy field of approximately 200 kOe for this ferrimagnet. +The effective damping constant was approximately 0.03. The corresponding +effective Landau-Lifshitz constant of approximately 60 Mrad/s and is comparable +to those of the similar Mn-Ga materials. The physical mechanisms for the +Gilbert damping and for the laser-induced excitation of the FMR mode were also +discussed in terms of the spin-orbit-induced damping and the laser-induced +ultrafast modulation of the magnetic anisotropy, respectively.",1510.06793v1 +2017-04-11,CoFeAlB alloy with low damping and low magnetization for spin transfer torque switching,"We investigate the effect of Al doping on the magnetic properties of the +alloy CoFeB. Comparative measurements of the saturation magnetization, the +Gilbert damping parameter $\alpha$ and the exchange constant as a function of +the annealing temperature for CoFeB and CoFeAlB thin films are presented. Our +results reveal a strong reduction of the magnetization for CoFeAlB in +comparison to CoFeB. If the prepared CoFeAlB films are amorphous, the damping +parameter $\alpha$ is unaffected by the Al doping in comparison to the CoFeB +alloy. In contrast, in the case of a crystalline CoFeAlB film, $\alpha$ is +found to be reduced. Furthermore, the x-ray characterization and the evolution +of the exchange constant with the annealing temperature indicate a similar +crystallization process in both alloys. The data proves the suitability of +CoFeAlB for spin torque switching properties where a reduction of the switching +current in comparison with CoFeB is expected.",1704.03326v1 +2021-01-07,Mechanisms behind large Gilbert damping anisotropies,"A method with which to calculate the Gilbert damping parameter from a +real-space electronic structure method is reported here. The anisotropy of the +Gilbert damping with respect to the magnetic moment direction and local +chemical environment is calculated for bulk and surfaces of Fe$_{50}$Co$_{50}$ +alloys from first principles electronic structure in a real space formulation. +The size of the damping anisotropy for Fe$_{50}$Co$_{50}$ alloys is +demonstrated to be significant. Depending on details of the simulations, it +reaches a maximum-minimum damping ratio as high as 200%. Several microscopic +origins of the strongly enhanced Gilbert damping anisotropy have been examined, +where in particular interface/surface effects stand out, as do local +distortions of the crystal structure. Although theory does not reproduce the +experimentally reported high ratio of 400% [Phys. Rev. Lett. 122, 117203 +(2019)], it nevertheless identifies microscopic mechanisms that can lead to +huge damping anisotropies.",2101.02794v2 +2018-08-13,Gilbert damping phenomenology for two-sublattice magnets,"We present a systematic phenomenological description of Gilbert damping in +two-sublattice magnets. Our theory covers the full range of materials from +ferro- via ferri- to antiferromagnets. Following a Rayleigh dissipation +functional approach within a Lagrangian classical field formulation, the theory +captures intra- as well as cross-sublattice terms in the Gilbert damping, +parameterized by a 2$\times$2 matrix. When spin-pumping into an adjacent +conductor causes dissipation, we obtain the corresponding Gilbert damping +matrix in terms of the interfacial spin-mixing conductances. Our model +reproduces the experimentally observed enhancement of the ferromagnetic +resonance linewidth in a ferrimagnet close to its compensation temperature +without requiring an increased Gilbert parameter. It also predicts new +contributions to damping in an antiferromagnet and suggests the resonance +linewidths as a direct probe of the sublattice asymmetry, which may stem from +boundary or bulk.",1808.04385v2 +2021-07-02,Anomalous Gilbert Damping and Duffing Features of the SFS {\boldmath $\varphi_0$} Josephson Junction,"We demonstrate unusual features of phase dynamics, IV-characteristics and +magnetization dynamics of the $\varphi_0$ Josephson junction at small values of +spin-orbit interaction, ratio of Josephson to magnetic energy and Gilbert +damping. In particular, an anomalous shift of the ferromagnetic resonance +frequency with an increase of Gilbert damping is found. The ferromagnetic +resonance curves show the Duffing oscillator behaviour, reflecting the +nonlinear nature of Landau-Lifshitz-Gilbert (LLG) equation. Based on the +numerical analysis of each term in LLG equation we obtained an approximated +equation demonstrated both damping effect and Duffing oscillator features. The +resulting Duffing equation incorporates the Gilbert damping in a special way +across the dissipative term and the restoring force. A resonance method for the +determination of spin-orbit interaction in noncentrosymmetric materials which +play the role of barrier in $\varphi_0$ junctions is proposed.",2107.00982v3 +2023-03-07,Electrically tunable Gilbert damping in van der Waals heterostructures of two-dimensional ferromagnetic metals and ferroelectrics,"Tuning the Gilbert damping of ferromagnetic (FM) metals via a nonvolatile way +is of importance to exploit and design next-generation novel spintronic +devices. Through systematical first-principles calculations, we study the +magnetic properties of the van der Waals heterostructure of two-dimensional FM +metal CrTe2 and ferroelectric (FE) In2Te3 monolayers. The ferromagnetism of +CrTe2 is maintained in CrTe2/In2Te3 and its magnetic easy axis can be switched +from in-plane to out-of-plane by reversing the FE polarization of In2Te3. +Excitingly, we find that the Gilbert damping of CrTe2 is tunable when the FE +polarization of In2Te3 is reversed from upward to downward. By analyzing the +k-dependent contributions to the Gilbert damping, we unravel that such +tunability results from the changed intersections between the bands of CrTe2 +and Fermi level on the reversal of the FE polarizations of In2Te3 in +CrTe2/In2Te3. Our work provides an appealing way to electrically tailor Gilbert +dampings of two-dimensional FM metals by contacting them with ferroelectrics.",2303.03852v1 +2014-05-19,"Comparison of micromagnetic parameters of ferromagnetic semiconductors (Ga,Mn)(As,P) and (Ga,Mn)As","We report on the determination of micromagnetic parameters of epilayers of +the ferromagnetic semiconductor (Ga,Mn)As, which has easy axis in the sample +plane, and (Ga,Mn)(As,P) which has easy axis perpendicular to the sample plane. +We use an optical analog of ferromagnetic resonance where the +laser-pulse-induced precession of magnetization is measured directly in the +time domain. By the analysis of a single set of pump-and-probe magneto-optical +data we determined the magnetic anisotropy fields, the spin stiffness and the +Gilbert damping constant in these two materials. We show that incorporation of +10% of phosphorus in (Ga,Mn)As with 6% of manganese leads not only to the +expected sign change of the perpendicular to plane anisotropy field but also to +an increase of the Gilbert damping and to a reduction of the spin stiffness. +The observed changes in the micromagnetic parameters upon incorporating P in +(Ga,Mn)As are consistent with the reduced hole density, conductivity, and Curie +temperature of the (Ga,Mn)(As,P) material. We report that the magnetization +precession damping is stronger for the n = 1 spin wave resonance mode than for +the n = 0 uniform magnetization precession mode.",1405.4677v1 +2015-03-24,Spin dynamics and frequency dependence of magnetic damping study in soft ferromagnetic FeTaC film with a stripe domain structure,"Perpendicular magnetic anisotropy (PMA) and low magnetic damping are the key +factors for the free layer magnetization switching by spin transfer torque +technique in magnetic tunnel junction devices. The magnetization precessional +dynamics in soft ferromagnetic FeTaC thin film with a stripe domain structure +was explored in broad band frequency range by employing micro-strip +ferromagnetic resonance technique. The polar angular variation of resonance +field and linewidth at different frequencies have been analyzed numerically +using Landau-Lifshitz-Gilbert equation by taking into account the total free +energy density of the film. The numerically estimated parameters Land\'{e} +$g$-factor, PMA constant, and effective magnetization are found to be 2.1, +2$\times10^{5}$ erg/cm$^{3}$ and 7145 Oe, respectively. The frequency +dependence of Gilbert damping parameter ($\alpha$) is evaluated by considering +both intrinsic and extrinsic effects into the total linewidth analysis. The +value of $\alpha$ is found to be 0.006 at 10 GHz and it increases with +decreasing precessional frequency.",1503.07043v5 +2015-08-28,The inviscid limit for the Landau-Lifshitz-Gilbert equation in the critical Besov space,"We prove that in dimensions three and higher the Landau-Lifshitz- Gilbert +equation with small initial data in the critical Besov space is globally +wellposed in a uniform way with respect to the Gilbert damping parameter. Then +we show that the global solution converges to that of the Schrodinger maps in +the natural space as the Gilbert damping term vanishes. The proof is based on +some studies on the derivative Ginzburg-Landau equations.",1508.07118v3 +2006-06-05,Phenomenological theory of current driven exchange switching in ferromagnetic nanojunctions,"Phenomenological approach is developed in the theory of spin-valve type +ferromagnetic junctions to describe exchange switching by current flowing +perpendicular to interfaces. Forward and backward current switching effects are +described and they may be principally different in nature. Mobile electron +spins are considered as being free in all the contacting ferromagnetic layers. +Joint action of the following two current effects is investigated: the +nonequilibrium longitudinal spin-injection effective field and the transverse +spin-transfer surface torque. Dispersion relation for fluctuations is derived +and solved for a junction model having spatially localized spin transfer +torque: depth of the torque penetration into the free layer is assumed much +smaller than the total free layer thickness. Some critical value of the well +known Gilbert damping constant is established for the first time. Spin transfer +torque dominates in the instability threshold determination for small enough +damping constants, while the spin-injection effective field dominates for high +damping. Fine interplay between spin transfer torque and spin injection is +necessary to provide a hysteretic behavior of the resistance versus current +dependence. The state diagram building up shows the possibility of +non-stationary (time dependent) nonlinear states arising due to instability +development. Calculations lead to the instability rise time values of the order +of 0.1 ns. Spin wave resonance frequency spectrum softening occurs under the +current growing to the instability threshold. Magnetization fluctuations above +the threshold rise oscillating with time for low damping, but rise +aperiodically and much more rapid for high damping.",0606102v2 +2005-01-27,Current-induced macrospin vs spin-wave excitations in spin valves,"The mode dependence of current-induced magnetic excitations in spin valves is +studied theoretically. The torque exerted on the magnetization by transverse +spin currents as well as the Gilbert damping constant are found to depend +strongly on the wave length of the excitation (spin wave). Analytic expressions +are presented for the critical currents that excite a selected spin wave. The +onset of macrospin (zero wavelength) vs finite wavelength instabilities depends +on the device parameters and the current direction, in agreement with recent +experimental findings.",0501672v3 +2011-04-15,Lagrangian approach and dissipative magnetic systems,"A Lagrangian is introduced which includes the coupling between magnetic +moments $\mathbf{m}$ and the degrees of freedom $\boldsymbol{\sigma}$ of a +reservoir. In case the system-reservoir coupling breaks the time reversal +symmetry the magnetic moments perform a damped precession around an effective +field which is self-organized by the mutual interaction of the moments. The +resulting evolution equation has the form of the Landau-Lifshitz-Gilbert +equation. In case the bath variables are constant vector fields the moments +$\mathbf{m}$ fulfill the reversible Landau-Lifshitz equation. Applying +Noether's theorem we find conserved quantities under rotation in space and +within the configuration space of the moments.",1104.3002v1 +2011-07-04,Minimization of the Switching Time of a Synthetic Free Layer in Thermally Assisted Spin Torque Switching,"We theoretically studied the thermally assisted spin torque switching of a +synthetic free layer and showed that the switching time is minimized if the +condition H_J=|H_s|/(2 alpha) is satisfied, where H_J, H_s and alpha are the +coupling field of two ferromagnetic layers, the amplitude of the spin torque, +and the Gilbert damping constant. We also showed that the coupling field of the +synthetic free layer can be determined from the resonance frequencies of the +spin-torque diode effect.",1107.0753v2 +2013-03-12,Thermally excited spin waves in a nano-structure: thermal gradient vs. constant temperature,"Using micromagnetic simulations, we have investigated spin dynamics in a +nanostructure in the presence of thermal fluctuations. In particular, we have +studied the effects of a uniform temperature and of a uniform thermal gradient. +In both cases, the stochastic field leads to an increase of the precession +angle of the magnetization, and to a mild decreas of the linewidth of the +resonance peaks. Our results indicate that the Gilbert damping parameter plays +the role of control parameter for the amplification of spin waves.",1303.2895v1 +2015-07-24,Boosting Domain Wall Propagation by Notches,"We report a counter-intuitive finding that notches in an otherwise +homogeneous magnetic nanowire can boost current-induced domain wall (DW) +propagation. DW motion in notch-modulated wires can be classified into three +phases: 1) A DW is pinned around a notch when the current density is below the +depinning current density. 2) DW propagation velocity is boosted by notches +above the depinning current density and when non-adiabatic spin-transfer torque +strength $\beta$ is smaller than the Gilbert damping constant $\alpha$. The +boost can be manyfold. 3) DW propagation velocity is hindered when $\beta > +\alpha$. The results are explained by using the Thiele equation.",1507.06748v1 +2020-01-17,Fermi Level Controlled Ultrafast Demagnetization Mechanism in Half-Metallic Heusler Alloy,"The electronic band structure-controlled ultrafast demagnetization mechanism +in Co2FexMn1-xSi Heusler alloy is underpinned by systematic variation of +composition. We find the spin-flip scattering rate controlled by spin density +of states at Fermi level is responsible for non-monotonic variation of +ultrafast demagnetization time ({\tau}M) with x with a maximum at x = 0.4. +Furthermore, Gilbert damping constant exhibits an inverse relationship with +{\tau}M due to the dominance of inter-band scattering mechanism. This +establishes a unified mechanism of ultrafast spin dynamics based on Fermi level +position.",2001.06217v1 +2019-06-25,Conductivity-Like Gilbert Damping due to Intraband Scattering in Epitaxial Iron,"Confirming the origin of Gilbert damping by experiment has remained a +challenge for many decades, even for simple ferromagnetic metals. In this +Letter, we experimentally identify Gilbert damping that increases with +decreasing electronic scattering in epitaxial thin films of pure Fe. This +observation of conductivity-like damping, which cannot be accounted for by +classical eddy current loss, is in excellent quantitative agreement with +theoretical predictions of Gilbert damping due to intraband scattering. Our +results resolve the longstanding question about a fundamental damping mechanism +and offer hints for engineering low-loss magnetic metals for cryogenic +spintronics and quantum devices.",1906.10326v2 +2008-08-28,Gilbert Damping in Conducting Ferromagnets II: Model Tests of the Torque-Correlation Formula,"We report on a study of Gilbert damping due to particle-hole pair excitations +in conducting ferromagnets. We focus on a toy two-band model and on a four-band +spherical model which provides an approximate description of ferromagnetic +(Ga,Mn)As. These models are sufficiently simple that disorder-ladder-sum vertex +corrections to the long-wavelength spin-spin response function can be summed to +all orders. An important objective of this study is to assess the reliability +of practical approximate expressions which can be combined with electronic +structure calculations to estimate Gilbert damping in more complex systems.",0808.3923v1 +2010-01-26,Effect of spin-conserving scattering on Gilbert damping in ferromagnetic semiconductors,"The Gilbert damping in ferromagnetic semiconductors is theoretically +investigated based on the $s$-$d$ model. In contrast to the situation in +metals, all the spin-conserving scattering in ferromagnetic semiconductors +supplies an additional spin relaxation channel due to the momentum dependent +effective magnetic field of the spin-orbit coupling, thereby modifies the +Gilbert damping. In the presence of a pure spin current, we predict a new +contribution due to the interplay of the anisotropic spin-orbit coupling and a +pure spin current.",1001.4576v1 +2020-10-15,Spin injection characteristics of Py/graphene/Pt by gigahertz and terahertz magnetization dynamics driven by femtosecond laser pulse,"Spin transport characteristics of graphene has been extensively studied so +far. The spin transport along c-axis is however reported by rather limited +number of papers. We have studied spin transport characteristics through +graphene along c-axis with permalloy(Py)/graphene(Gr)/Pt by gigahertz (GHz) and +terahertz (THz) magnetization dynamics driven by femtosecond laser pulses. The +relatively simple sample structure does not require electrodes on the sample. +The graphene layer was prepared by chemical vapor deposition and transferred on +Pt film. The quality of graphene layer was characterized by Raman microscopy. +Time resolved magneto-optical Kerr effect is used to characterize gigahertz +magnetization dynamics. Magnetization precession is clearly observed both for +Pt/Py and Pt/Gr/Py. The Gilbert damping constant of Pt/Py was 0.015, indicates +spin pumping effect from Py to Pt. The Gilbert damping constant of Pt/Gr/Py is +found to be 0.011, indicates spin injection is blocked by graphene layer. We +have also performed the measurement of THz emission for Pt/Py and Pt/Gr/Py. +While the THz emission is clearly observed for Pt/Py, a strong reduction of THz +emission is observed for Pt/Gr/Py. With these two different experiments, and +highly anisotropic resistivity of graphite, we conclude that the vertical spin +transport is strongly suppressed by the graphene layer.",2010.07694v1 +2015-02-05,Nonlinear analysis of magnetization dynamics excited by spin Hall effect,"We investigate the possibility of exciting self-oscillation in a +perpendicular ferromagnet by the spin Hall effect on the basis of a nonlinear +analysis of the Landau-Lifshitz-Gilbert (LLG) equation. In the self-oscillation +state, the energy supplied by the spin torque during a precession on a constant +energy curve should equal the dissipation due to damping. Also, the current to +balance the spin torque and the damping torque in the self-oscillation state +should be larger than the critical current to destabilize the initial state. We +find that the second condition in the spin Hall system is not satisfied by +deriving analytical solutions of the energy supplied by the spin transfer +effect and the dissipation due to the damping from the nonlinear LLG equation. +This indicates that the self-oscillation of a perpendicular ferromagnet cannot +be excited solely by the spin Hall torque.",1502.01420v2 +2008-12-17,Origin of intrinsic Gilbert damping,"The damping of magnetization, represented by the rate at which it relaxes to +equilibrium, is successfully modeled as a phenomenological extension in the +Landau-Lifschitz-Gilbert equation. This is the damping torque term known as +Gilbert damping and its direction is given by the vector product of the +magnetization and its time derivative. Here we derive the Gilbert term from +first principles by a non-relativistic expansion of the Dirac equation. We find +that the Gilbert term arises when one calculates the time evolution of the spin +observable in the presence of the full spin-orbital coupling terms, while +recognizing the relationship between the curl of the electric field and the +time varying magnetic induction.",0812.3184v2 +2019-07-01,Magnon decay theory of Gilbert damping in metallic antiferromagnets,"Gilbert damping is a key property governing magnetization dynamics in ordered +magnets. We present a theoretical study of intrinsic Gilbert damping induced by +magnon decay in antiferromagnetic metals through $s$-$d$ exchange interaction. +Our theory delineates the qualitative features of damping in metallic +antiferromagnets owing to their bipartite nature, in addition to providing +analytic expressions for the damping parameters. Magnon-induced intraband +electron scattering is found to predominantly cause magnetization damping, +whereas the N\'eel field is found to be damped via disorder. Depending on the +conduction electron band structure, we predict that magnon-induced interband +electron scattering around band crossings may be exploited to engineer a strong +N\'eel field damping.",1907.01045v1 +2022-11-24,Influence of non-local damping on magnon properties of ferromagnets,"We study the influence of non-local damping on magnon properties of Fe, Co, +Ni and Fe$_{1-x}$Co$_{x}$ ($x=30\%,50\%$) alloys. The Gilbert damping parameter +is typically considered as a local scalar both in experiment and in theoretical +modelling. However, recent works have revealed that Gilbert damping is a +non-local quantity that allows for energy dissipation between atomic sites. +With the Gilbert damping parameters calculated from a state-of-the-art +real-space electronic structure method, magnon lifetimes are evaluated from +spin dynamics and linear response, where a good agreement is found between +these two methods. It is found that non-local damping affects the magnon +lifetimes in different ways depending on the system. Specifically, we find that +in Fe, Co, and Ni the non-local damping decreases the magnon lifetimes, while +in $\rm Fe_{70}Co_{30}$ and Fe$_{50}$Co$_{50}$ an opposite, non-local damping +effect is observed, and our data show that it is much stronger in the former.",2211.13486v1 +2005-07-20,All-optical probe of precessional magnetization dynamics in exchange biased NiFe/FeMn bilayers,"An internal anisotropy pulse field is launched by an 8.3 ps short laser +excitation, which triggers precessional magnetization dynamics of a +polycrystalline NiFe/FeMn exchange bias system on the picosecond timescale. Due +to the excitation the unidirectional anisotropy and, thus, the exchange +coupling across the interface between the ferromagnetic and the +antiferromagnetic layer is reduced, leading to a fast reduction of the exchange +bias field and to a dramatic increase of the zero-field susceptibility. The +fast optical unpinning is followed by a slower recovery of the interfacial +exchange coupling dominated by spin-lattice and heat flow relaxation with a +time constant of the order of 160 ps. The measured picosecond time evolution of +the exchange decoupling and restoration is interpreted as an anisotropy pulse +field giving rise to fast precessional magnetization dynamics of the +ferromagnetic layer. The strength of the internal pulse field and even the +initial magnetization deflection direction from the equilibrium orientation can +be controlled by the absorbed photons. The dependence of the effective Gilbert +damping on both small and large angle precessional motion was studied, yielding +that both cases can be modeled with reasonable accuracy within the +Landau-Lifshitz and Gilbert framework.",0507475v1 +2013-09-21,Patterns formation in axially symmetric Landau-Lifshitz-Gilbert-Slonczewski equations,"The Landau-Lifshitz-Gilbert-Slonczewski equation describes magnetization +dynamics in the presence of an applied field and a spin polarized current. In +the case of axial symmetry and with focus on one space dimension, we +investigate the emergence of space-time patterns in the form of wavetrains and +coherent structures, whose local wavenumber varies in space. A major part of +this study concerns existence and stability of wavetrains and of front- and +domain wall-type coherent structures whose profiles asymptote to wavetrains or +the constant up-/down-magnetizations. For certain polarization the Slonczewski +term can be removed which allows for a more complete charaterization, including +soliton-type solutions. Decisive for the solution structure is the polarization +parameter as well as size of anisotropy compared with the difference of field +intensity and current intensity normalized by the damping.",1309.5523v4 +2017-03-28,Temperature dependent magnetic damping of yttrium iron garnet spheres,"We investigate the temperature dependent microwave absorption spectrum of an +yttrium iron garnet sphere as a function of temperature (5 K to 300 K) and +frequency (3 GHz to 43.5 GHz). At temperatures above 100 K, the magnetic +resonance linewidth increases linearly with temperature and shows a +Gilbert-like linear frequency dependence. At lower temperatures, the +temperature dependence of the resonance linewidth at constant external magnetic +fields exhibits a characteristic peak which coincides with a non-Gilbert-like +frequency dependence. The complete temperature and frequency evolution of the +linewidth can be modeled by the phenomenology of slowly relaxing rare-earth +impurities and either the Kasuya-LeCraw mechanism or the scattering with +optical magnons. Furthermore, we extract the temperature dependence of the +saturation magnetization, the magnetic anisotropy and the g-factor.",1703.09444v2 +2017-12-10,Magnetic field gradient driven dynamics of isolated skyrmions and antiskyrmions in frustrated magnets,"The study of skyrmion/antiskyrmion motion in magnetic materials is very +important in particular for the spintronics applications. In this work, we +study the dynamics of isolated skyrmions and antiskyrmions in frustrated +magnets driven by magnetic field gradient, using the Landau-Lifshitz-Gilbert +simulations on the frustrated classical Heisenberg model on the triangular +lattice. A Hall-like motion induced by the gradient is revealed in bulk system, +similar to that in the well-studied chiral magnets. More interestingly, our +work suggests that the lateral confinement in nano-stripes of the frustrated +system can completely suppress the Hall motion and significantly speed up the +motion along the gradient direction. The simulated results are well explained +by the Thiele theory. It is demonstrated that the acceleration of the motion is +mainly determined by the Gilbert damping constant, which provides useful +information for finding potential materials for skyrmion-based spintronics.",1712.03550v1 +2010-02-26,Correlation Effects in the Stochastic Landau-Lifshitz-Gilbert Equation,"We analyze the Landau-Lifshitz-Gilbert equation when the precession motion of +the magnetic moments is additionally subjected to an uniaxial anisotropy and is +driven by a multiplicative coupled stochastic field with a finite correlation +time $\tau$. The mean value for the spin wave components offers that the +spin-wave dispersion relation and its damping is strongly influenced by the +deterministic Gilbert damping parameter $\alpha$, the strength of the +stochastic forces $D$ and its temporal range $\tau$. The spin-spin-correlation +function can be calculated in the low correlation time limit by deriving an +evolution equation for the joint probability function. The stability analysis +enables us to find the phase diagram within the $\alpha-D$ plane for different +values of $\tau$ where damped spin wave solutions are stable. Even for zero +deterministic Gilbert damping the magnons offer a finite lifetime. We detect a +parameter range where the deterministic and the stochastic damping mechanism +are able to compensate each other leading to undamped spin-waves. The onset is +characterized by a critical value of the correlation time. An enhancement of +$\tau$ leads to an increase of the oscillations of the correlation function.",1002.4958v1 +2014-10-02,Investigation of the temperature-dependence of ferromagnetic resonance and spin waves in Co2FeAl0.5Si0.5,"Co2FeAl0.5Si0.5 (CFAS) is a Heusler compound that is of interest for +spintronics applications, due to its high spin polarization and relatively low +Gilbert damping constant. In this study, the behavior of ferromagnetic +resonance as a function of temperature was investigated in CFAS, yielding a +decreasing trend of damping constant as the temperature was increased from 13 +to 300 K. Furthermore, we studied spin waves in CFAS using both frequency +domain and time domain techniques, obtaining group velocities and attenuation +lengths as high as 26 km/s and 23.3 um, respectively, at room temperature.",1410.0439v1 +2018-10-11,"Propagating spin waves in nanometer-thick yttrium iron garnet films: Dependence on wave vector, magnetic field strength and angle","We present a comprehensive investigation of propagating spin waves in +nanometer-thick yttrium iron garnet (YIG) films. We use broadband spin-wave +spectroscopy with integrated coplanar waveguides (CPWs) and microstrip antennas +on top of continuous and patterned YIG films to characterize spin waves with +wave vectors up to 10 rad/$\mu$m. All films are grown by pulsed laser +deposition. From spin-wave transmission spectra, parameters such as the Gilbert +damping constant, spin-wave dispersion relation, group velocity, relaxation +time, and decay length are derived and their dependence on magnetic bias field +strength and angle is systematically gauged. For a 40-nm-thick YIG film, we +obtain a damping constant of $3.5 \times 10^{-4}$ and a maximum decay length of +1.2 mm. Our experiments reveal a strong variation of spin-wave parameters with +magnetic bias field and wave vector. Spin-wave properties change considerably +up to a magnetic bias field of about 30 mT and above a field angle of +$\theta_{H} = 20^{\circ}$, where $\theta_{H} = 0^{\circ}$ corresponds to the +Damon-Eshbach configuration.",1810.04973v1 +2019-02-26,Enhanced Gilbert Damping in Re doped FeCo Films: A Combined Experimental and Theoretical Study,"The effects of rhenium doping in the range 0 to 10 atomic percent on the +static and dynamic magnetic properties of Fe65Co35 thin films have been studied +experimentally as well as with first principles electronic structure +calculations focusing on the change of the saturation magnetization and the +Gilbert damping parameter. Both experimental and theoretical results show that +the saturation magnetization decreases with increasing Re doping level, while +at the same time Gilbert damping parameter increases. The experimental low +temperature saturation magnetic induction exhibits a 29 percent decrease, from +2.31 T to 1.64 T, in the investigated doping concentration range, which is more +than predicted by the theoretical calculations. The room temperature value of +the damping parameter obtained from ferromagnetic resonance measurements, +correcting for extrinsic contributions to the damping, is for the undoped +sample 0.0027, which is close to the theoretically calculated Gilbert damping +parameter. With 10 atomic percent Re doping, the damping parameter increases to +0.0090, which is in good agreement with the theoretical value of 0.0073. The +increase in damping parameter with Re doping is explained by the increase in +density of states at Fermi level, mostly contributed by the spin-up channel of +Re. Moreover, both experimental and theoretical values for the damping +parameter are observed to be weakly decreasing with decreasing temperature.",1902.09896v1 +2021-09-13,Control of magnetization dynamics by substrate orientation in YIG thin films,"Yttrium Iron Garnet (YIG) and bismuth (Bi) substituted YIG (Bi0.1Y2.9Fe5O12, +BYG) films are grown in-situ on single crystalline Gadolinium Gallium Garnet +(GGG) substrates [with (100) and (111) orientations] using pulsed laser +deposition (PLD) technique. As the orientation of the Bi-YIG film changes from +(100) to (111), the lattice constant is enhanced from 12.384 {\AA} to 12.401 +{\AA} due to orientation dependent distribution of Bi3+ ions at dodecahedral +sites in the lattice cell. Atomic force microscopy (AFM) images show smooth +film surfaces with roughness 0.308 nm in Bi-YIG (111). The change in substrate +orientation leads to the modification of Gilbert damping which, in turn, gives +rise to the enhancement of ferromagnetic resonance (FMR) line width. The best +values of Gilbert damping are found to be (0.54)*10-4, for YIG (100) and +(6.27)*10-4, for Bi-YIG (111) oriented films. Angle variation measurements of +the Hr are also performed, that shows a four-fold symmetry for the resonance +field in the (100) grown film. In addition, the value of effective +magnetization (4{\pi}Meff) and extrinsic linewidth ({\Delta}H0) are observed to +be dependent on substrate orientation. Hence PLD growth can assist +single-crystalline YIG and BYG films with a perfect interface that can be used +for spintronics and related device applications.",2109.05901v1 +2022-09-01,Growth parameters of Bi0.1Y2.9Fe5O12 thin films for high frequency applications,"The growth and characterization of Bismuth (Bi) substituted YIG (Bi-YIG, +Bi0.1Y2.9Fe5O12) thin films are reported. Pulsed laser deposited (PLD) films +with thicknesses ranging from 20 to 150 nm were grown on Gadolinium Gallium +Garnet substrates. Two substrate orientations of (100) and (111) were +considered. The enhanced distribution of Bi3+ ions at dodecahedral site along +(111) is observed to lead to an increment in lattice constant from 12.379 +angstrom in (100) to 12.415 angstrom in (111) oriented films. Atomic force +microscopy images showed decreasing roughness with increasing film thickness. +Compared to (100) grown films, (111) oriented films showed an increase in +ferromagnetic resonance linewidth and consequent increase in Gilbert damping. +The lowest Gilbert damping values are found to be (1.06) * 10E-4 for (100) and +(2.30) * 10E-4 for (111) oriented films with thickness of 150 nm. The observed +values of extrinsic linewidth, effective magnetization, and anisotropic field +are related to thickness of the films and substrate orientation. In addition, +the in-plane angular variation established four-fold symmetry for the (100) +deposited films unlike the case of (111) deposited films. This study prescribes +growth conditions for PLD grown single-crystalline Bi-YIG films towards desired +high frequency and magneto-optical device applications.",2209.00558v1 +2023-06-07,Helicity-dependent optical control of the magnetization state emerging from the Landau-Lifshitz-Gilbert equation,"It is well known that the Gilbert relaxation time of a magnetic moment scales +inversely with the magnitude of the externally applied field, H, and the +Gilbert damping, {\alpha}. Therefore, in ultrashort optical pulses, where H can +temporarily be extremely large, the Gilbert relaxation time can momentarily be +extremely short, reaching even picosecond timescales. Here we show that for +typical ultrashort pulses, the optical control of the magnetization emerges by +merely considering the optical magnetic field in the Landau-Lifshitz-Gilbert +(LLG) equation. Surprisingly, when circularly polarized optical pulses are +introduced to the LLG equation, an optically induced helicity-dependent torque +results. We find that the strength of the interaction is determined by +{\eta}={\alpha}{\gamma}H/f_opt, where f_opt and {\gamma} are the optical +frequency and gyromagnetic ratio. Our results illustrate the generality of the +LLG equation to the optical limit and the pivotal role of the Gilbert damping +in the general interaction between optical magnetic fields and spins in solids.",2306.04617v2 +2018-04-03,Generalisation of Gilbert damping and magnetic inertia parameter as a series of higher-order relativistic terms,"The phenomenological Landau-Lifshitz-Gilbert (LLG) equation of motion remains +as the cornerstone of contemporary magnetisation dynamics studies, wherein the +Gilbert damping parameter has been attributed to first-order relativistic +effects. To include magnetic inertial effects the LLG equation has previously +been extended with a supplemental inertia term and the arising inertial +dynamics has been related to second-order relativistic effects. Here we start +from the relativistic Dirac equation and, performing a Foldy-Wouthuysen +transformation, derive a generalised Pauli spin Hamiltonian that contains +relativistic correction terms to any higher order. Using the Heisenberg +equation of spin motion we derive general relativistic expressions for the +tensorial Gilbert damping and magnetic inertia parameters, and show that these +tensors can be expressed as series of higher-order relativistic correction +terms. We further show that, in the case of a harmonic external driving field, +these series can be summed and we provide closed analytical expressions for the +Gilbert and inertial parameters that are functions of the frequency of the +driving field.",1804.09242v1 +2016-08-02,Ferromagnetic Damping/Anti-damping in a Periodic 2D Helical surface; A Non-Equilibrium Keldysh Green Function Approach,"In this paper, we investigate theoretically the spin-orbit torque as well as +the Gilbert damping for a two band model of a 2D helical surface state with a +Ferromagnetic (FM) exchange coupling. We decompose the density matrix into the +Fermi sea and Fermi surface components and obtain their contributions to the +electronic transport as well as the spin-orbit torque (SOT). Furthermore, we +obtain the expression for the Gilbert damping due to the surface state of a 3D +Topological Insulator (TI) and predicted its dependence on the direction of the +magnetization precession axis.",1608.00984v2 +2016-02-19,A systematic study of magnetodynamic properties at finite temperatures in doped permalloy from first principles calculations,"By means of first principles calculations, we have systematically +investigated how the magnetodynamic properties Gilbert damping, magnetization +and exchange stiffness are affected when permalloy (Py) +(Fe$_{0.19}$Ni$_{0.81}$) is doped with 4d or 5d transition metal impurities. We +find that the trends in the Gilbert damping can be understood from relatively +few basic parameters such as the density of states at the Fermi level, the +spin-orbit coupling and the impurity concentration. % The temperature +dependence of the Gilbert damping is found to be very weak which we relate to +the lack of intraband transitions in alloys. % Doping with $4d$ elements has no +major impact on the studied Gilbert damping, apart from diluting the host. +However, the $5d$ elements have a profound effect on the damping and allows it +to be tuned over a large interval while maintaining the magnetization and +exchange stiffness. % As regards spin stiffness, doping with early transition +metals results in considerable softening, whereas late transition metals have a +minor impact. % Our result agree well with earlier calculations where +available. In comparison to experiments, the computed Gilbert damping appears +slightly underestimated while the spin stiffness show good general agreement.",1602.06201v2 +2002-11-01,Exploring dynamical magnetism with time-dependent density-functional theory: from spin fluctuations to Gilbert damping,"We use time-dependent spin-density-functional theory to study dynamical +magnetic phenomena. First, we recall that the local-spin-density approximation +(LSDA) fails to account correctly for magnetic fluctuations in the paramagnetic +state of iron and other itinerant ferromagnets. Next, we construct a +gradient-dependent density functional that does not suffer from this problem of +the LSDA. This functional is then used to derive, for the first time, the +phenomenological Gilbert equation of micromagnetics directly from +time-dependent density-functional theory. Limitations and extensions of Gilbert +damping are discussed on this basis, and some comparisons with phenomenological +theories and experiments are made.",0211021v1 +2012-04-24,Nonlocal feedback in ferromagnetic resonance,"Ferromagnetic resonance in thin films is analyzed under the influence of +spatiotemporal feedback effects. The equation of motion for the magnetization +dynamics is nonlocal in both space and time and includes isotropic, anisotropic +and dipolar energy contributions as well as the conserved Gilbert- and the +non-conserved Bloch-damping. We derive an analytical expression for the +peak-to-peak linewidth. It consists of four separate parts originated by +Gilbert damping, Bloch-damping, a mixed Gilbert-Bloch component and a +contribution arising from retardation. In an intermediate frequency regime the +results are comparable with the commonly used Landau-Lifshitz-Gilbert theory +combined with two-magnon processes. Retardation effects together with Gilbert +damping lead to a linewidth the frequency dependence of which becomes strongly +nonlinear. The relevance and the applicability of our approach to ferromagnetic +resonance experiments is discussed.",1204.5342v1 +2017-04-24,Spin injection into silicon detected by broadband ferromagnetic resonance spectroscopy,"We studied the spin injection in a NiFe(Py)/Si system using broadband +ferromagnetic resonance spectroscopy. The Gilbert damping parameter of the Py +layer on top of the Si channel was determined as a function of the Si doping +concentration and Py layer thickness. For fixed Py thickness we observed an +increase of the Gilbert damping parameter with decreasing resistivity of the Si +channel. For a fixed Si doping concentration we measured an increasing Gilbert +damping parameter for decreasing Py layer thickness. No increase of the Gilbert +damping parameter was found Py/Si samples with an insulating interlayer. We +attribute our observations to an enhanced spin injection into the +low-resistivity Si by spin pumping.",1704.07006v1 +2021-03-11,Magnetoelastic Gilbert damping in magnetostrictive Fe$_{0.7}$Ga$_{0.3}$ thin films,"We report an enhanced magnetoelastic contribution to the Gilbert damping in +highly magnetostrictive Fe$_{0.7}$Ga$_{0.3}$ thin films. This effect is +mitigated for perpendicular-to-plane fields, leading to a large anisotropy of +the Gilbert damping in all of the films (up to a factor of 10 at room +temperature). These claims are supported by broadband measurements of the +ferromagnetic resonance linewidths over a range of temperatures (5 to 400 K), +which serve to elucidate the effect of both the magnetostriction and phonon +relaxation on the magnetoelastic Gilbert damping.",2103.07008v1 +2022-01-27,Effect of vertex corrections on the enhancement of Gilbert damping in spin pumping into a two-dimensional electron gas,"We theoretically consider the effect of vertex correction on spin pumping +from a ferromagnetic insulator (FI) into a two-dimensional electron gas (2DEG) +in which the Rashba and Dresselhaus spin-orbit interactions coexist. The +Gilbert damping in the FI is enhanced by elastic spin-flipping or magnon +absorption. We show that the Gilbert damping due to elastic spin-flipping is +strongly enhanced by the vertex correction when the ratio of the two spin-orbit +interactions is near a special value at which the spin relaxation time diverges +while that due to magnon absorption shows only small modification. We also show +that the shift in the resonant frequency due to elastic spin-flipping is +strongly enhanced in a similar way as the Gilbert damping.",2201.11498v3 +2016-02-22,Effects of Landau-Lifshitz-Gilbert damping on domain growth,"Domain patterns are simulated by the Landau-Lifshitz-Gilbert (LLG) equation +with an easy-axis anisotropy. If the Gilbert damping is removed from the LLG +equation, it merely describes the precession of magnetization with a +ferromagnetic interaction. However, even without the damping, domains that look +similar to those of scalar fields are formed, and they grow with time. It is +demonstrated that the damping has no significant effects on domain growth laws +and large-scale domain structure. In contrast, small-scale domain structure is +affected by the damping. The difference in small-scale structure arises from +energy dissipation due to the damping.",1602.06673v3 +2023-06-22,"Gilbert damping in metallic ferromagnets from Schwinger-Keldysh field theory: Intrinsically nonlocal and nonuniform, and made anisotropic by spin-orbit coupling","Understanding the origin of damping mechanisms in magnetization dynamics of +metallic ferromagnets is a fundamental problem for nonequilibrium many-body +physics of systems where quantum conduction electrons interact with localized +spins assumed to be governed by the classical Landau-Lifshitz-Gilbert (LLG) +equation. It is also of critical importance for applications, as damping +affects energy consumption and speed of spintronic and magnonic devices. Since +the 1970s, a variety of linear-response and scattering theory approaches have +been developed to produce widely used formulas for computation of +spatially-independent Gilbert scalar parameter as the magnitude of the Gilbert +damping term in the LLG equation. The largely unexploited for this purpose +Schwinger-Keldysh field theory (SKFT) offers additional possibilities, such as +to rigorously derive an extended LLG equation by integrating quantum electrons +out. Here we derive such equation whose Gilbert damping for metallic +ferromagnets is nonlocal, i.e., dependent on all localized spins at a given +time, and nonuniform, even if all localized spins are collinear and spin-orbit +coupling (SOC) is absent. This is in sharp contrast to standard lore, where +nonlocal damping is considered to emerge only if localized spins are +noncollinear; for such situations, direct comparison on the example of magnetic +domain wall shows that SKFT-derived nonlocal damping is an order of magnitude +larger than the previously considered one. Switching on SOC makes such nonlocal +damping anisotropic, in contrast to standard lore where SOC is usually +necessary to obtain nonzero Gilbert damping scalar parameter. Our analytical +formulas, with their nonlocality being more prominent in low spatial +dimensions, are fully corroborated by numerically exact quantum-classical +simulations.",2306.13013v4 +2014-12-12,Spin waves in micro-structured yttrium iron garnet nanometer-thick films,"We investigated the spin-wave propagation in a micro-structured yttrium iron +garnet waveguide of $40$ nm thickness. Utilizing spatially-resolved Brillouin +light scattering microscopy, an exponential decay of the spin-wave amplitude of +$(10.06 \pm 0.83)$ $\mu$m was observed. This leads to an estimated Gilbert +damping constant of $\alpha=(8.79\pm 0.73)\times 10^{-4}$, which is larger than +damping values obtained through ferromagnetic resonance measurements in +unstructured films. The theoretically calculated spatial interference of +waveguide modes was compared to the spin-wave pattern observed experimentally +by means of Brillouin light scattering spectroscopy.",1412.4032v1 +2017-06-05,Consistent microscopic analysis of spin pumping effects,"We present a consistent microscopic study of spin pumping effects for both +metallic and insulating ferromagnets. As for metallic case, we present a simple +quantum mechanical picture of the effect as due to the electron spin flip as a +result of a nonadiabatic (off-diagonal) spin gauge field. The effect of +interface spin-orbit interaction is briefly discussed. We also carry out +field-theoretic calculation to discuss on the equal footing the spin current +generation and torque effects such as enhanced Gilbert damping constant and +shift of precession frequency both in metallic and insulating cases. For thick +ferromagnetic metal, our study reproduces results of previous theories such as +the correspondence between the dc component of the spin current and enhancement +of the damping. For thin metal and insulator, the relation turns out to be +modified. For the insulating case, driven locally by interface $sd$ exchange +interaction due to magnetic proximity effect, physical mechanism is distinct +from the metallic case. Further study of proximity effect and interface +spin-orbit interaction would be crucial to interpret experimental results in +particular for insulators.",1706.01185v1 +2019-05-30,Predicting New Iron Garnet Thin Films with Perpendicular Magnetic Anisotropy,"Perpendicular magnetic anisotropy (PMA) is a necessary condition for many +spintronic applications like spin-orbit torques switching, logic and memory +devices. An important class of magnetic insulators with low Gilbert damping at +room temperature are iron garnets, which only have a few PMA types such as +terbium and samarium iron garnet. More and stable PMA garnet options are +necessary for researchers to be able to investigate new spintronic phenomena. +In this study, we predict 20 new substrate/magnetic iron garnet film pairs with +stable PMA at room temperature. The effective anisotropy energies of 10 +different garnet films that are lattice-matched to 5 different commercially +available garnet substrates have been calculated using shape, magnetoelastic +and magnetocrystalline anisotropy terms. Strain type, tensile or compressive +depending on substrate choice, as well as the sign and the magnitude of the +magnetostriction constants of garnets determine if a garnet film may possess +PMA. We show the conditions in which Samarium, Gadolinium, Terbium, Holmium, +Dysprosium and Thulium garnets may possess PMA on the investigated garnet +substrate types. Guidelines for obtaining garnet films with low damping are +presented. New PMA garnet films with tunable saturation moment and field may +improve spin-orbit torque memory and compensated magnonic thin film devices.",1905.13042v1 +2019-07-17,Inhomogeneous domain walls in spintronic nanowires,"In case of a spin-polarized current, the magnetization dynamics in nanowires +are governed by the classical Landau-Lifschitz equation with Gilbert damping +term, augmented by a typically non-variational Slonczewski term. Taking axial +symmetry into account, we study the existence of domain wall type coherent +structure solutions, with focus on one space dimension and spin-polarization, +but our results also apply to vanishing spin-torque term. Using methods from +bifurcation theory for arbitrary constant applied fields, we prove the +existence of domain walls with non-trivial azimuthal profile, referred to as +inhomogeneous. We present an apparently new type of domain wall, referred to as +non-flat, whose approach of the axial magnetization has a certain oscillatory +character. Additionally, we present the leading order mechanism for the +parameter selection of flat and non-flat inhomogeneous domain walls for an +applied field below a threshold, which depends on anisotropy, damping, and +spin-transfer. Moreover, numerical continuation results of all these domain +wall solutions are presented.",1907.07470v2 +2021-11-16,Ultrathin ferrimagnetic GdFeCo films with very low damping,"Ferromagnetic materials dominate as the magnetically active element in +spintronic devices, but come with drawbacks such as large stray fields, and low +operational frequencies. Compensated ferrimagnets provide an alternative as +they combine the ultrafast magnetization dynamics of antiferromagnets with a +ferromagnet-like spin-orbit-torque (SOT) behavior. However to use ferrimagnets +in spintronic devices their advantageous properties must be retained also in +ultrathin films (t < 10 nm). In this study, ferrimagnetic Gdx(Fe87.5Co12.5)1-x +thin films in the thickness range t = 2-20 nm were grown on high resistance +Si(100) substrates and studied using broadband ferromagnetic resonance +measurements at room temperature. By tuning their stoichiometry, a nearly +compensated behavior is observed in 2 nm Gdx(Fe87.5Co12.5)1-x ultrathin films +for the first time, with an effective magnetization of Meff = 0.02 T and a low +effective Gilbert damping constant of {\alpha} = 0.0078, comparable to the +lowest values reported so far in 30 nm films. These results show great promise +for the development of ultrafast and energy efficient ferrimagnetic spintronic +devices.",2111.08768v1 +2021-11-30,First and second order magnetic anisotropy and damping of europium iron garnet under high strain,"Understanding and tailoring static and dynamic properties of magnetic +insulator thin films is important for spintronic device applications. Here, we +grow atomically flat epitaxial europium iron garnet (EuIG) thin films by pulsed +laser deposition on (111)-oriented garnet substrates with a range of lattice +parameters. By controlling the lattice mismatch between EuIG and the +substrates, we tune the strain in EuIG films from compressive to tensile +regime, which is characterized by X-ray diffraction. Using ferromagnetic +resonance, we find that in addition to the first-order perpendicular magnetic +anisotropy which depends linearly on the strain, there is a significant +second-order one that has a quadratic strain dependence. Inhomogeneous +linewidth of the ferromagnetic resonance increases notably with increasing +strain, while the Gilbert damping parameter remains nearly constant (~ +2x10^-2). These results provide valuable insight into the spin dynamics in +ferrimagnetic insulators and useful guidance for material synthesis and +engineering of next-generation spintronics applications.",2111.15142v1 +2011-11-18,Charge and Spin Transport in Magnetic Tunnel Junctions: Microscopic Theory,"We study the charge and spin currents passing through a magnetic tunnel +junction (MTJ) on the basis of a tight-binding model. The currents are +evaluated perturbatively with respect to the tunnel Hamiltonian. The charge +current has the form $A[\bm M_1(t)\times\dot{\bm M}_1(t)]\cdot\bm M_2+B\dot{\bm +M}_1(t)\cdot\bm M_2$, where $\bm M_1(t)$ and $\bm M_2$ denote the directions of +the magnetization in the free layer and fixed layer, respectively. The constant +$A$ vanishes when one or both layers are insulators, {while the constant $B$ +disappears when both layers are insulators or the same ferromagnets.} The first +term in the expression for charge current represents dissipation driven by the +effective electric field induced by the dynamic magnetization. In addition, +from an investigation of the spin current, we obtain the microscopic expression +for the enhanced Gilbert damping constant $\varDelta \alpha$. We show that +$\varDelta\alpha$ is proportional to the tunnel conductance and depends on the +bias voltage.",1111.4295v2 +2017-05-21,Dynamical depinning of chiral domain walls,"The domain wall depinning field represents the minimum magnetic field needed +to move a domain wall, typically pinned by samples' disorder or patterned +constrictions. Conventionally, such field is considered independent on the +Gilbert damping since it is assumed to be the field at which the Zeeman energy +equals the pinning energy barrier (both damping independent). Here, we analyse +numerically the domain wall depinning field as function of the Gilbert damping +in a system with perpendicular magnetic anisotropy and Dzyaloshinskii-Moriya +interaction. Contrary to expectations, we find that the depinning field depends +on the Gilbert damping and that it strongly decreases for small damping +parameters. We explain this dependence with a simple one-dimensional model and +we show that the reduction of the depinning field is related to the internal +domain wall dynamics, proportional to the Dzyaloshinskii-Moriya interaction, +and the finite size of the pinning barriers.",1705.07489v2 +2019-01-07,Giant anisotropy of Gilbert damping in epitaxial CoFe films,"Tailoring Gilbert damping of metallic ferromagnetic thin films is one of the +central interests in spintronics applications. Here we report a giant Gilbert +damping anisotropy in epitaxial Co$_{50}$Fe$_{50}$ thin film with a +maximum-minimum damping ratio of 400 \%, determined by broadband spin-torque as +well as inductive ferromagnetic resonance. We conclude that the origin of this +damping anisotropy is the variation of the spin orbit coupling for different +magnetization orientations in the cubic lattice, which is further corroborate +from the magnitude of the anisotropic magnetoresistance in Co$_{50}$Fe$_{50}$.",1901.01941v1 +2019-11-02,Tuning Non-Gilbert-type damping in FeGa films on MgO(001) via oblique deposition,"The ability to tailor the damping factor is essential for spintronic and +spin-torque applications. Here, we report an approach to manipulate the damping +factor of FeGa/MgO(001) films by oblique deposition. Owing to the defects at +the surface or interface in thin films, two-magnon scattering (TMS) acts as a +non-Gilbert damping mechanism in magnetization relaxation. In this work, the +contribution of TMS was characterized by in-plane angular dependent +ferromagnetic resonance (FMR). It is demonstrated that the intrinsic Gilbert +damping is isotropic and invariant, while the extrinsic mechanism related to +TMS is anisotropic and can be tuned by oblique deposition. Furthermore, the two +and fourfold TMS related to the uniaxial magnetic anisotropy (UMA) and +magnetocrystalline anisotropy were discussed. Our results open an avenue to +manipulate magnetization relaxation in spintronic devices.",1911.00728v1 +2001-10-11,Enhanced Gilbert Damping in Thin Ferromagnetic Films,"Using a scattering matrix approach, the precession of the magnetization of a +ferromagnet is shown to transfer spins into adjacent normal metal layers. This +``pumping'' of spins slows down the precession corresponding to an enhanced +Gilbert damping factor in the Landau-Lifshitz equation. The damping is +expressed in terms of the scattering matrix of the ferromagnet-normal metal +interface, which is accessible to model and first-principles calculations. Our +estimates for permalloy thin films explain the trends observed in recent +experiments.",0110247v2 +2002-02-11,Radiation Induced Landau-Lifshitz-Gilbert Damping in Ferromagnets,"The Landau-Lifshitz-Gilbert damping coefficient employed in the analysis of +spin wave ferromagnetic resonance is related to the electrical conductivity of +the sample. The changing magnetization (with time) radiates electromagnetic +fields. The electromagnetic energy is then absorbed by the sample and the +resulting heating effect describes magnetic dissipative damping. The +ferromagnetic resonance relaxation rate theoretically depends on the geometry +(shape and size) of the sample as well as temperature in agreement with +experiment.",0202181v1 +2006-01-10,Voltage dependence of Landau-Lifshitz-Gilbert damping of a spin in a current driven tunnel junction,"We present a theory of Landau-Lifshitz-Gilbert damping $\alpha$ for a +localized spin ${\vec S}$ in the junction coupled to the conduction electrons +in both leads under an applied volatege $V$. We find the voltage dependence of +the damping term reflecting the energy dependence of the density of states. We +find the effect is linear in the voltage and cotrolled by particle-hole +asymmetry of the leads.",0601185v1 +2015-02-06,Microscopic theory of Gilbert damping in metallic ferromagnets,"We present a microscopic theory for magnetization relaxation in metallic +ferromagnets of nanoscopic dimensions that is based on the dynamic spin +response matrix in the presence of spin-orbit coupling. Our approach allows the +calculation of the spin excitation damping rate even for perfectly crystalline +systems, where existing microscopic approaches fail. We demonstrate that the +relaxation properties are not completely determined by the transverse +susceptibility alone, and that the damping rate has a non-negligible frequency +dependence in experimentally relevant situations. Our results indicate that the +standard Landau-Lifshitz-Gilbert phenomenology is not always appropriate to +describe spin dynamics of metallic nanostructure in the presence of strong +spin-orbit coupling.",1502.02068v1 +2011-09-22,Hole spin relaxation and coefficients in Landau-Lifshitz-Gilbert equation in ferromagnetic GaMnAs,"We investigate the temperature dependence of the coefficients in the +Landau-Lifshitz-Gilbert equation in ferromagnetic GaMnAs by employing the Zener +model. We first calculate the hole spin relaxation time based on the +microscopic kinetic equation. We find that the hole spin relaxation time is +typically several tens femtoseconds and can present a nonmonotonic temperature +dependence due to the variation of the interband spin mixing, influenced by the +temperature related Zeeman splitting. With the hole spin relaxation time, we +are able to calculate the coefficients in the Landau-Lifshitz-Gilbert equation, +such as the Gilbert damping, nonadiabatic spin torque, spin stiffness and +vertical spin stiffness coefficients. We find that the nonadiabatic spin torque +coefficient $\beta$ is around $0.1\sim 0.3$ at low temperature, which is +consistent with the experiment [Adam {\em et al.}, Phys. Rev. B {\bf 80}, +193204 (2009)]. As the temperature increases, $\beta$ monotonically increases +and can exceed one in the vicinity of the Curie temperature. In the low +temperature regime with $\beta<1$, the Gilbert damping coefficient $\alpha$ +increases with temperature, showing good agreement with the experiments [Sinova +{\em et al.}, Phys. Rev. B {\bf 69}, 085209 (2004); Khazen {\em et al.}, {\em +ibid.} {\bf 78}, 195210 (2008)]. Furthermore, we predict that $\alpha$ +decreases with increasing temperature once $\beta>1$ near the Curie +temperature. We also find that the spin stiffness decreases with increasing +temperature, especially near the Curie temperature due to the modification of +the finite $\beta$. Similar to the Gilbert damping, the vertical spin stiffness +coefficient is also found to be nonmonotonically dependent on the temperature.",1109.4964v1 +2011-04-08,Magnetization Dissipation in Ferromagnets from Scattering Theory,"The magnetization dynamics of ferromagnets are often formulated in terms of +the Landau-Lifshitz-Gilbert (LLG) equation. The reactive part of this equation +describes the response of the magnetization in terms of effective fields, +whereas the dissipative part is parameterized by the Gilbert damping tensor. We +formulate a scattering theory for the magnetization dynamics and map this +description on the linearized LLG equation by attaching electric contacts to +the ferromagnet. The reactive part can then be expressed in terms of the static +scattering matrix. The dissipative contribution to the low-frequency +magnetization dynamics can be described as an adiabatic energy pumping process +to the electronic subsystem by the time-dependent magnetization. The Gilbert +damping tensor depends on the time derivative of the scattering matrix as a +function of the magnetization direction. By the fluctuation-dissipation +theorem, the fluctuations of the effective fields can also be formulated in +terms of the quasistatic scattering matrix. The theory is formulated for +general magnetization textures and worked out for monodomain precessions and +domain wall motions. We prove that the Gilbert damping from scattering theory +is identical to the result obtained by the Kubo formalism.",1104.1625v1 +2022-02-12,Generalization of the Landau-Lifshitz-Gilbert equation by multi-body contributions to Gilbert damping for non-collinear magnets,"We propose a systematic and sequential expansion of the +Landau-Lifshitz-Gilbert equation utilizing the dependence of the Gilbert +damping tensor on the angle between magnetic moments, which arises from +multi-body scattering processes. The tensor consists of a damping-like term and +a correction to the gyromagnetic ratio. Based on electronic structure theory, +both terms are shown to depend on e.g. the scalar, anisotropic, vector-chiral +and scalar-chiral products of magnetic moments: $\vec{e}_i\cdot\vec{e}_j$, +$(\vec{n}_{ij}\cdot\vec{e}_i)(\vec{n}_{ij}\cdot\vec{e}_j)$, +$\vec{n}_{ij}\cdot(\vec{e}_i\times\vec{e}_j)$, $(\vec{e}_i\cdot\vec{e}_j)^2$, +$\vec{e}_i\cdot(\vec{e}_j\times\vec{e}_k)$..., where some terms are subjected +to the spin-orbit field $\vec{n}_{ij}$ in first and second order. We explore +the magnitude of the different contributions using both the Alexander-Anderson +model and time-dependent density functional theory in magnetic adatoms and +dimers deposited on Au(111) surface.",2202.06154v1 +2022-11-23,The fractional Landau-Lifshitz-Gilbert equation,"The dynamics of a magnetic moment or spin are of high interest to +applications in technology. Dissipation in these systems is therefore of +importance for improvement of efficiency of devices, such as the ones proposed +in spintronics. A large spin in a magnetic field is widely assumed to be +described by the Landau-Lifshitz-Gilbert (LLG) equation, which includes a +phenomenological Gilbert damping. Here, we couple a large spin to a bath and +derive a generic (non-)Ohmic damping term for the low-frequency range using a +Caldeira-Leggett model. This leads to a fractional LLG equation, where the +first-order derivative Gilbert damping is replaced by a fractional derivative +of order $s \ge 0$. We show that the parameter $s$ can be determined from a +ferromagnetic resonance experiment, where the resonance frequency and linewidth +no longer scale linearly with the effective field strength.",2211.12889v1 +2018-05-04,Effective damping enhancement in noncollinear spin structures,"Damping mechanisms in magnetic systems determine the lifetime, diffusion and +transport properties of magnons, domain walls, magnetic vortices, and +skyrmions. Based on the phenomenological Landau-Lifshitz-Gilbert equation, here +the effective damping parameter in noncollinear magnetic systems is determined +describing the linewidth in resonance experiments or the decay parameter in +time-resolved measurements. It is shown how the effective damping can be +calculated from the elliptic polarization of magnons, arising due to the +noncollinear spin arrangement. It is concluded that the effective damping is +larger than the Gilbert damping, and it may significantly differ between +excitation modes. Numerical results for the effective damping are presented for +the localized magnons in isolated skyrmions, with parameters based on the +Pd/Fe/Ir(111) model-type system.",1805.01815v2 +2017-01-12,Dynamic coupling of ferromagnets via spin Hall magnetoresistance,"The synchronized magnetization dynamics in ferromagnets on a nonmagnetic +heavy metal caused by the spin Hall effect is investigated theoretically. The +direct and inverse spin Hall effects near the ferromagnetic/nonmagnetic +interface generate longitudinal and transverse electric currents. The +phenomenon is known as the spin Hall magnetoresistance effect, whose magnitude +depends on the magnetization direction in the ferromagnet due to the spin +transfer effect. When another ferromagnet is placed onto the same nonmagnet, +these currents are again converted to the spin current by the spin Hall effect +and excite the spin torque to this additional ferromagnet, resulting in the +excitation of the coupled motions of the magnetizations. The in-phase or +antiphase synchronization of the magnetization oscillations, depending on the +value of the Gilbert damping constant and the field-like torque strength, is +found in the transverse geometry by solving the Landau-Lifshitz-Gilbert +equation numerically. On the other hand, in addition to these synchronizations, +the synchronization having a phase difference of a quarter of a period is also +found in the longitudinal geometry. The analytical theory clarifying the +relation among the current, frequency, and phase difference is also developed, +where it is shown that the phase differences observed in the numerical +simulations correspond to that giving the fixed points of the energy supplied +by the coupling torque.",1701.03201v2 +2023-12-14,"Nonlocal damping of spin waves in a magnetic insulator induced by normal, heavy, or altermagnetic metallic overlayer: a Schwinger-Keldysh field theory approach","Understanding spin wave (SW) damping, and how to control it to the point of +being able to amplify SW-mediated signals, is one of the key requirements to +bring the envisaged magnonic technologies to fruition. Even widely used +magnetic insulators with low magnetization damping in their bulk, such as +yttrium iron garnet, exhibit 100-fold increase in SW damping due to inevitable +contact with metallic layers in magnonic circuits, as observed in very recent +experiments [I. Bertelli et al., Adv. Quantum Technol. 4, 2100094 (2021)] +mapping SW damping in spatially-resolved fashion. Here, we provide microscopic +and rigorous understanding of wavevector-dependent SW damping using extended +Landau-Lifshitz-Gilbert equation with nonlocal damping tensor, instead of +conventional local scalar Gilbert damping, as derived from Schwinger-Keldysh +nonequilibrium quantum field theory. In this picture, the origin of nonlocal +magnetization damping and thereby induced wavevector-dependent SW damping is +interaction of localized magnetic moments of magnetic insulator with conduction +electrons from the examined three different types of metallic overlayers -- +normal, heavy, and altermagnetic. Due to spin-split energy-momentum dispersion +of conduction electrons in the latter two cases, the nonlocal damping is +anisotropic in spin and space, and it can be dramatically reduced by changing +the relative orientation of the two layers when compared to the usage of normal +metal overlayer.",2312.09140v1 +2006-04-21,Dynamic approach for micromagnetics close to the Curie temperature,"In conventional micromagnetism magnetic domain configurations are calculated +based on a continuum theory for the magnetization which is assumed to be of +constant length in time and space. Dynamics is usually described with the +Landau-Lifshitz-Gilbert (LLG) equation the stochastic variant of which includes +finite temperatures. Using simulation techniques with atomistic resolution we +show that this conventional micromagnetic approach fails for higher +temperatures since we find two effects which cannot be described in terms of +the LLG equation: i) an enhanced damping when approaching the Curie temperature +and, ii) a magnetization magnitude that is not constant in time. We show, +however, that both of these effects are naturally described by the +Landau-Lifshitz-Bloch equation which links the LLG equation with the theory of +critical phenomena and turns out to be a more realistic equation for +magnetization dynamics at elevated temperatures.",0604508v1 +2017-03-20,Relativistic theory of magnetic inertia in ultrafast spin dynamics,"The influence of possible magnetic inertia effects has recently drawn +attention in ultrafast magnetization dynamics and switching. Here we derive +rigorously a description of inertia in the Landau-Lifshitz-Gilbert equation on +the basis of the Dirac-Kohn-Sham framework. Using the Foldy-Wouthuysen +transformation up to the order of $1/c^4$ gives the intrinsic inertia of a pure +system through the 2$^{\rm nd}$ order time-derivative of magnetization in the +dynamical equation of motion. Thus, the inertial damping $\mathcal{I}$ is a +higher order spin-orbit coupling effect, $\sim 1/c^4$, as compared to the +Gilbert damping $\Gamma$ that is of order $1/c^2$. Inertia is therefore +expected to play a role only on ultrashort timescales (sub-picoseconds). We +also show that the Gilbert damping and inertial damping are related to one +another through the imaginary and real parts of the magnetic susceptibility +tensor respectively.",1704.01559v1 +2020-06-30,Negative Gilbert damping in cavity optomagnonics,"Exceptional point (EP) associated with the parity-time (PT) symmetry breaking +is receiving considerable recent attention by the broad physics community. By +introducing balanced gain and loss, it has been realized in photonic, acoustic, +and electronic structures. However, the observation of magnonic EP remains +elusive. The major challenge is to experimentally generate the negative Gilbert +damping, which was thought to be highly unlikely but is demanded by the PT +symmetry. In this work, we study the magneto-optical interaction of +circularly-polarized lasers with a submicron magnet placed in an optical +cavity. We show that the off-resonant coupling between the driving laser and +cavity photon in the far-blue detuning can induce the magnetic gain (or +negative damping) exactly of the Gilbert type. A hyperbolic-tangent function +ansatz is found to well describe the time-resolved spin switching as the +intrinsic magnetization dissipation is overcome. When the optically pumped +magnet interacts with a purely lossy one, we observe a phase transition from +the imbalanced to passive PT symmetries by varying the detuning coeffcient. Our +findings provide a feasible way to manipulate the sign of the magnetic damping +parameter and to realize the EP in cavity optomagnonics.",2006.16510v1 +2023-05-16,Non-Hermitian Casimir Effect of Magnons,"There has been a growing interest in non-Hermitian quantum mechanics. The key +concepts of quantum mechanics are quantum fluctuations. Quantum fluctuations of +quantum fields confined in a finite-size system induce the zero-point energy +shift. This quantum phenomenon, the Casimir effect, is one of the most striking +phenomena of quantum mechanics in the sense that there are no classical analogs +and has been attracting much attention beyond the hierarchy of energy scales, +ranging from elementary particle physics to condensed matter physics, together +with photonics. However, the non-Hermitian extension of the Casimir effect and +the application to spintronics have not yet been investigated enough, although +exploring energy sources and developing energy-efficient nanodevices are its +central issues. Here we fill this gap. By developing a magnonic analog of the +Casimir effect into non-Hermitian systems, we show that this non-Hermitian +Casimir effect of magnons is enhanced as the Gilbert damping constant (i.e., +the energy dissipation rate) increases. When the damping constant exceeds a +critical value, the non-Hermitian Casimir effect of magnons exhibits an +oscillating behavior, including a beating one, as a function of the film +thickness and is characterized by the exceptional point. Our result suggests +that energy dissipation serves as a key ingredient of Casimir engineering.",2305.09231v1 +2014-04-05,Gilbert damping in noncollinear ferromagnets,"The precession and damping of a collinear magnetization displaced from its +equilibrium are described by the Landau-Lifshitz-Gilbert equation. For a +noncollinear magnetization, it is not known how the damping should be +described. We use first-principles scattering theory to investigate the damping +in one-dimensional transverse domain walls (DWs) of the important ferromagnetic +alloy Ni$_{80}$Fe$_{20}$ and interpret the results in terms of phenomenological +models. The damping is found to depend not only on the magnetization texture +but also on the specific dynamic modes of Bloch and N\'eel DWs. Even in the +highly disordered Ni$_{80}$Fe$_{20}$ alloy, the damping is found to be +remarkably nonlocal.",1404.1488v2 +2023-08-14,Temperature Evolution of Magnon Propagation Length in Tm$_3$Fe$_5$O$_{12}$ Thin Films: Roles of Magnetic Anisotropy and Gilbert Damping,"The magnon propagation length ($\langle\xi\rangle$) of a ferro/ferrimagnet +(FM) is one of the key factors that controls the generation and propagation of +thermally-driven spin current in FM/heavy metal (HM) bilayer based +spincaloritronic devices. Theory predicts that for the FM layer, +$\langle\xi\rangle$ is inversely proportional to the Gilbert damping ($\alpha$) +and the square root of the effective magnetic anisotropy constant ($K_{\rm +eff}$). However, direct experimental evidence of this relationship is lacking. +To experimentally confirm this prediction, we employ a combination of +longitudinal spin Seebeck effect (LSSE), transverse susceptibility, and +ferromagnetic resonance experiments to investigate the temperature evolution of +$\langle\xi\rangle$ and establish its correlation with the effective magnetic +anisotropy field, $H_K^{\rm eff}$ ($\propto K_{\rm eff}$) and $\alpha$ in +Tm$_3$Fe$_5$O$_{12}$ (TmIG)/Pt bilayers. We observe concurrent drops in the +LSSE voltage and $\langle\xi\rangle$ below 200$^\circ$K in TmIG/Pt bilayers +regardless of TmIG film thickness and substrate choice and attribute it to the +noticeable increases in $H_K^{\rm eff}$ and $\alpha$ that occur within the same +temperature range. From the TmIG thickness dependence of the LSSE voltage, we +determined the temperature dependence of $\langle\xi\rangle$ and highlighted +its correlation with the temperature-dependent $H_K^{\rm eff}$ and $\alpha$ in +TmIG/Pt bilayers, which will be beneficial for the development of rare-earth +iron garnet-based efficient spincaloritronic nanodevices.",2308.07236v3 +2003-04-04,Dynamic exchange coupling and Gilbert damping in magnetic multilayers,"We theoretically study dynamic properties of thin ferromagnetic films in +contact with normal metals. Moving magnetizations cause a flow of spins into +adjacent conductors, which relax by spin flip, scatter back into the +ferromagnet, or are absorbed by another ferromagnet. Relaxation of spins +outside the moving magnetization enhances the overall damping of the +magnetization dynamics in accordance with the Gilbert phenomenology. Transfer +of spins between different ferromagnets by these nonequilibrium spin currents +leads to a long-ranged dynamic exchange interaction and novel collective +excitation modes. Our predictions agree well with recent +ferromagnetic-resonance experiments on ultrathin magnetic films.",0304116v1 +2008-08-09,Gilbert Damping in Conducting Ferromagnets I: Kohn-Sham Theory and Atomic-Scale Inhomogeneity,"We derive an approximate expression for the Gilbert damping coefficient +\alpha_G of itinerant electron ferromagnets which is based on their description +in terms of spin-density-functional-theory (SDFT) and Kohn-Sham quasiparticle +orbitals. We argue for an expression in which the coupling of magnetization +fluctuations to particle-hole transitions is weighted by the spin-dependent +part of the theory's exchange-correlation potential, a quantity which has large +spatial variations on an atomic length scale. Our SDFT result for \alpha_G is +closely related to the previously proposed spin-torque correlation-function +expression.",0808.1373v1 +2012-03-03,Scaling of intrinsic Gilbert damping with spin-orbital coupling strength,"We have experimentally and theoretically investigated the dependence of the +intrinsic Gilbert damping parameter $\alpha_0$ on the spin-orbital coupling +strength $\xi$ by using L1$_{\mathrm{0}}$ ordered +FePd$_{\mathrm{1-x}}$Pt$_{\mathrm{x}}$ ternary alloy films with perpendicular +magnetic anisotropy. With the time-resolved magneto-optical Kerr effect, +$\alpha_0$ is found to increase by more than a factor of ten when $x$ varies +from 0 to 1.0. Since changes of other leading parameters are found to be +neglected, the $\alpha_0$ has for the first time been proven to be proportional +to $\xi^2$.",1203.0607v1 +2013-03-20,Spin-pumping and Enhanced Gilbert Damping in Thin Magnetic Insulator Films,"Precessing magnetization in a thin film magnetic insulator pumps spins into +adjacent metals; however, this phenomenon is not quantitatively understood. We +present a theory for the dependence of spin-pumping on the transverse mode +number and in-plane wave vector. For long-wavelength spin waves, the enhanced +Gilbert damping for the transverse mode volume waves is twice that of the +macrospin mode, and for surface modes, the enhancement can be ten or more times +stronger. Spin-pumping is negligible for short-wavelength exchange spin waves. +We corroborate our analytical theory with numerical calculations in agreement +with recent experimental results.",1303.4922v1 +2022-06-10,Spin Pumping into Anisotropic Dirac Electrons,"We study spin pumping into an anisotropic Dirac electron system induced by +microwave irradiation to an adjacent ferromagnetic insulator theoretically. We +formulate the Gilbert damping enhancement due to the spin current flowing into +the Dirac electron system using second-order perturbation with respect to the +interfacial exchange coupling. As an illustration, we consider the anisotropic +Dirac system realized in bismuth to show that the Gilbert damping varies +according to the magnetization direction in the ferromagnetic insulator. Our +results indicate that this setup can provide helpful information on the +anisotropy of the Dirac electron system.",2206.04899v1 +2023-03-02,Spin Pumping into Carbon Nanotubes,"We theoretically study spin pumping from a ferromagnetic insulator (FI) into +a carbon nanotube (CNT). By employing the bosonization method, we formulate the +Gilbert damping induced by the FI/CNT junction, which can be measured by +ferromagnetic resonance. We show that the increase in the Gilbert damping has a +temperature dependence characteristic of a Luttinger liquid and is highly +sensitive to the Luttinger parameter of the spin sector for a clean interface. +We also discuss the experimental relevance of our findings based on numerical +estimates, using realistic parameters.",2303.01343v2 +2019-08-29,Enhancement of ultrafast demagnetization rate and Gilbert damping driven by femtosecond laser-induced spin currents in Fe81Ga19/Ir20Mn80 bilayers,"In spintronics applications, ultrafast spin dynamics have to be controlled at +femtosecond (fs) timescales via fs-laser radiation. At such ultrafast +timescales, the effect of the Gilbert damping factor {\alpha} on ultrafast +demagnetization time should be considered. In previous explorations for the +relationship between these two parameters, it was found that the theoretical +calculations based on the local spin-flip scattering model do not agree with +the experimental results. Here, we find that in Fe81Ga19(FeGa)/Ir20Mn80(IrMn) +bilayers, the unconventional IrMn thickness dependence of {\alpha} results from +the competition between spin currents pumped from the ferromagnetic (FM) FeGa +layer to the antiferromagnetic (AFM) IrMn layer and those pumped from the AFM +layer to the FM layer. More importantly, we establish a proportional +relationship between the change of the ultrafast demagnetization rate and the +enhancement of Gilbert damping induced by the spin currents via interfacial +spin chemical potential . Our work builds a bridge to connect the ultrafast +demagnetization time and Gilbert damping in ultrafast photo-induced spin +currents dominated systems, which not only explains the disagreement between +experimental and theoretical results in the relation of {\tau}_M with {\alpha}, +but provides further insight into ultrafast spin dynamics as well.",1908.11084v1 +2021-09-08,Room-Temperature Intrinsic and Extrinsic Damping in Polycrystalline Fe Thin Films,"We examine room-temperature magnetic relaxation in polycrystalline Fe films. +Out-of-plane ferromagnetic resonance (FMR) measurements reveal Gilbert damping +parameters of $\approx$ 0.0024 for Fe films with thicknesses of 4-25 nm, +regardless of their microstructural properties. The remarkable invariance with +film microstructure strongly suggests that intrinsic Gilbert damping in +polycrystalline metals at room temperature is a local property of nanoscale +crystal grains, with limited impact from grain boundaries and film roughness. +By contrast, the in-plane FMR linewidths of the Fe films exhibit distinct +nonlinear frequency dependences, indicating the presence of strong extrinsic +damping. To fit our in-plane FMR data, we have used a grain-to-grain two-magnon +scattering model with two types of correlation functions aimed at describing +the spatial distribution of inhomogeneities in the film. However, neither of +the two correlation functions is able to reproduce the experimental data +quantitatively with physically reasonable parameters. Our findings advance the +fundamental understanding of intrinsic Gilbert damping in structurally +disordered films, while demonstrating the need for a deeper examination of how +microstructural disorder governs extrinsic damping.",2109.03684v2 +2007-05-03,Effective attraction induced by repulsive interaction in a spin-transfer system,"In magnetic systems with dominating easy-plane anisotropy the magnetization +can be described by an effective one dimensional equation for the in-plane +angle. Re-deriving this equation in the presence of spin-transfer torques, we +obtain a description that allows for a more intuitive understanding of +spintronic devices' operation and can serve as a tool for finding new dynamic +regimes. A surprising prediction is obtained for a planar ``spin-flip +transistor'': an unstable equilibrium point can be stabilized by a current +induced torque that further repels the system from that point. Stabilization by +repulsion happens due to the presence of dissipative environment and requires a +Gilbert damping constant that is large enough to ensure overdamped dynamics at +zero current.",0705.0508v1 +2007-06-21,Spin pumping by a field-driven domain wall,"We calculate the charge current in a metallic ferromagnet to first order in +the time derivative of the magnetization direction. Irrespective of the +microscopic details, the result can be expressed in terms of the conductivities +of the majority and minority electrons and the non-adiabatic spin transfer +torque parameter $\beta$. The general expression is evaluated for the specific +case of a field-driven domain wall and for that case depends strongly on the +ratio of $\beta$ and the Gilbert damping constant. These results may provide an +experimental method to determine this ratio, which plays a crucial role for +current-driven domain-wall motion.",0706.3160v3 +2008-05-21,Non-equilibrium thermodynamic study of magnetization dynamics in the presence of spin-transfer torque,"The dynamics of magnetization in the presence of spin-transfer torque was +studied. We derived the equation for the motion of magnetization in the +presence of a spin current by using the local equilibrium assumption in +non-equilibrium thermodynamics. We show that, in the resultant equation, the +ratio of the Gilbert damping constant, $\alpha$, and the coefficient, $\beta$, +of the current-induced torque, called non-adiabatic torque, depends on the +relaxation time of the fluctuating field $\tau_{c}$. The equality +$\alpha=\beta$ holds when $\tau_c$ is very short compared to the time scale of +magnetization dynamics. We apply our theory to current-induced magnetization +reversal in magnetic multilayers and show that the switching time is a +decreasing function of $\tau_{c}$.",0805.3306v1 +2009-05-01,Spin excitations in a monolayer scanned by a magnetic tip,"Energy dissipation via spin excitations is investigated for a hard +ferromagnetic tip scanning a soft magnetic monolayer. We use the classical +Heisenberg model with Landau-Lifshitz-Gilbert (LLG)-dynamics including a +stochastic field representing finite temperatures. The friction force depends +linearly on the velocity (provided it is small enough) for all temperatures. +For low temperatures, the corresponding friction coefficient is proportional to +the phenomenological damping constant of the LLG equation. This dependence is +lost at high temperatures, where the friction coefficient decreases +exponentially. These findings can be explained by properties of the spin +polarization cloud dragged along with the tip.",0905.0112v2 +2011-03-30,Spin motive forces due to magnetic vortices and domain walls,"We study spin motive forces, i.e, spin-dependent forces, and voltages induced +by time-dependent magnetization textures, for moving magnetic vortices and +domain walls. First, we consider the voltage generated by a one-dimensional +field-driven domain wall. Next, we perform detailed calculations on +field-driven vortex domain walls. We find that the results for the voltage as a +function of magnetic field differ between the one-dimensional and vortex domain +wall. For the experimentally relevant case of a vortex domain wall, the +dependence of voltage on field around Walker breakdown depends qualitatively on +the ratio of the so-called $\beta$-parameter to the Gilbert damping constant, +and thus provides a way to determine this ratio experimentally. We also +consider vortices on a magnetic disk in the presence of an AC magnetic field. +In this case, the phase difference between field and voltage on the edge is +determined by the $\beta$ parameter, providing another experimental method to +determine this quantity.",1103.5858v3 +2012-01-17,Magnetic vortex echoes: application to the study of arrays of magnetic nanostructures,"We propose the use of the gyrotropic motion of vortex cores in nanomagnets to +produce a magnetic echo, analogous to the spin echo in NMR. This echo occurs +when an array of nanomagnets, e.g., nanodisks, is magnetized with an in-plane +(xy) field, and after a time \tau a field pulse inverts the core magnetization; +the echo is a peak in M_{xy} at t=2\tau. Its relaxation times depend on the +inhomogeneity, on the interaction between the nanodots and on the Gilbert +damping constant \alpha. Its feasibility is demonstrated using micromagnetic +simulation. To illustrate an application of the echoes, we have determined the +inhomogeneity and measured the magnetic interaction in an array of nanodisks +separated by a distance d, finding a d^{-n} dependence, with n\approx 4.",1201.3553v1 +2012-07-09,Thermal vortex dynamics in thin circular ferromagnetic nanodisks,"The dynamics of gyrotropic vortex motion in a thin circular nanodisk of soft +ferromagnetic material is considered. The demagnetization field is calculated +using two-dimensional Green's functions for the thin film problem and fast +Fourier transforms. At zero temperature, the dynamics of the +Landau-Lifshitz-Gilbert equation is simulated using fourth order Runge-Kutta +integration. Pure vortex initial conditions at a desired position are obtained +with a Lagrange multipliers constraint. These methods give accurate estimates +of the vortex restoring force constant $k_F$ and gyrotropic frequency, showing +that the vortex core motion is described by the Thiele equation to very high +precision. At finite temperature, the second order Heun algorithm is applied to +the Langevin dynamical equation with thermal noise and damping. A spontaneous +gyrotropic motion takes place without the application of an external magnetic +field, driven only by thermal fluctuations. The statistics of the vortex radial +position and rotational velocity are described with Boltzmann distributions +determined by $k_F$ and by a vortex gyrotropic mass $m_G=G^2/k_F$, +respectively, where $G$ is the vortex gyrovector.",1207.2192v2 +2014-12-01,Dissipation due to pure spin-current generated by spin pumping,"Based on spin-dependent transport theory and thermodynamics, we develop a +generalized theory of the Joule heating in the presence of a spin current. +Along with the conventional Joule heating consisting of an electric current and +electrochemical potential, it is found that the spin current and spin +accumulation give an additional dissipation because the spin-dependent +scatterings inside bulk and ferromagnetic/nonmagnetic interface lead to a +change of entropy. The theory is applied to investigate the dissipation due to +pure spin-current generated by spin pumping across a +ferromagnetic/nonmagnetic/ferromagnetic multilayer. The dissipation arises from +an interface because the spin pumping is a transfer of both the spin angular +momentum and the energy from the ferromagnet to conduction electrons near the +interface. It is found that the dissipation is proportional to the enhancement +of the Gilbert damping constant by spin pumping.",1412.0688v1 +2015-01-30,Head-to-Head Domain Wall Structures in Wide Permalloy Strips,"We analyze the equilibrium micromagnetic domain wall structures encountered +in Permalloy strips of a wide range of thicknesses and widths, with strip +widths up to several micrometers. By performing an extensive set of +micromagnetic simulations, we show that the equilibrium phase diagram of the +domain wall structures exhibits in addition to the previously found structures +(symmetric and asymmetric transverse walls, vortex wall) also double vortex and +triple vortex domain walls for large enough strip widths and thicknesses. Also +several metastable domain wall structures are found for wide and/or thick +strips. We discuss the details of the relaxation process from random +magnetization initial states towards the stable domain wall structure, and show +that our results are robust with respect to changes of e.g. the magnitude of +the Gilbert damping constant and details of the initial conditions.",1501.07731v1 +2015-03-26,Thermophoresis of an Antiferromagnetic Soliton,"We study dynamics of an antiferromagnetic soliton under a temperature +gradient. To this end, we start by phenomenologically constructing the +stochastic Landau-Lifshitz-Gilbert equation for an antiferromagnet with the aid +of the fluctuation-dissipation theorem. We then derive the Langevin equation +for the soliton's center of mass by the collective coordinate approach. An +antiferromagentic soliton behaves as a classical massive particle immersed in a +viscous medium. By considering a thermodynamic ensemble of solitons, we obtain +the Fokker-Planck equation, from which we extract the average drift velocity of +a soliton. The diffusion coefficient is inversely proportional to a small +damping constant $\alpha$, which can yield a drift velocity of tens of m/s +under a temperature gradient of $1$ K/mm for a domain wall in an easy-axis +antiferromagnetic wire with $\alpha \sim 10^{-4}$.",1503.07854v2 +2016-01-10,"Interfacial Dzyaloshinskii-Moriya interaction, surface anisotropy energy,and spin pumping at spin orbit coupled Ir/Co interface","The interfacial Dzyaloshinskii-Moriya interaction (iDMI), surface anisotropy +energy, and spin pumping at the Ir/Co interface are experimentally investigated +by performing Brillouin light scattering. Contrary to previous reports, we +suggest that the sign of the iDMI at the Ir/Co interface is the same as in the +case of the Pt/Co interface. We also find that the magnitude of the iDMI energy +density is relatively smaller than in the case of the Pt/Co interface, despite +the large strong spin-orbit coupling (SOC) of Ir. The saturation magnetization +and the perpendicular magnetic anisotropy (PMA) energy are significantly +improved due to a strong SOC. Our findings suggest that an SOC in an Ir/Co +system behaves in different ways for iDMI and PMA. Finally, we determine the +spin pumping effect at the Ir/Co interface, and it increases the Gilbert +damping constant from 0.012 to 0.024 for 1.5 nmthick Co.",1601.02210v3 +2016-09-05,Coarsening dynamics of topological defects in thin Permalloy films,"We study the dynamics of topological defects in the magnetic texture of +rectangular Permalloy thin film elements during relaxation from random +magnetization initial states. Our full micromagnetic simulations reveal complex +defect dynamics during relaxation towards the stable Landau closure domain +pattern, manifested as temporal power-law decay, with a system-size dependent +cut-off time, of various quantities. These include the energy density of the +system, and the number densities of the different kinds of topological defects +present in the system. The related power-law exponents assume non-trivial +values, and are found to be different for the different defect types. The +exponents are robust against a moderate increase in the Gilbert damping +constant and introduction of quenched structural disorder. We discuss details +of the processes allowed by conservation of the winding number of the defects, +underlying their complex coarsening dynamics.",1609.01094v1 +2016-09-27,Anomalous Feedback and Negative Domain Wall Resistance,"Magnetic induction can be regarded as a negative feedback effect, where the +motive-force opposes the change of magnetic flux that generates the +motive-force. In artificial electromagnetics emerging from spintronics, +however, this is not necessarily the case. By studying the current-induced +domain wall dynamics in a cylindrical nanowire, we show that the spin +motive-force exerting on electrons can either oppose or support the applied +current that drives the domain wall. The switching into the anomalous feedback +regime occurs when the strength of the dissipative torque {\beta} is about +twice the value of the Gilbert damping constant {\alpha}. The anomalous +feedback manifests as a negative domain wall resistance, which has an analogy +with the water turbine.",1609.08250v1 +2018-06-01,Dirac-Surface-State Modulated Spin Dynamics in a Ferrimagnetic Insulator at Room Temperature,"This work demonstrates dramatically modified spin dynamics of magnetic +insulator (MI) by the spin-momentum locked Dirac surface states of the adjacent +topological insulator (TI) which can be harnessed for spintronic applications. +As the Bi-concentration x is systematically tuned in 5 nm thick (BixSb1-x)2Te3 +TI film, the weight of the surface relative to bulk states peaks at x = 0.32 +when the chemical potential approaches the Dirac point. At this concentration, +the Gilbert damping constant of the precessing magnetization in 10 nm thick +Y3Fe5O12 MI film in the MI/TI heterostructures is enhanced by an order of +magnitude, the largest among all concentrations. In addition, the MI acquires +additional strong magnetic anisotropy that favors the in-plane orientation with +similar Bi-concentration dependence. These extraordinary effects of the Dirac +surface states distinguish TI from other materials such as heavy metals in +modulating spin dynamics of the neighboring magnetic layer.",1806.00151v1 +2019-01-17,Spin transport parameters of NbN thin films characterised by spin pumping experiments,"We present measurements of ferromagnetic-resonance - driven spin pumping and +inverse spin-Hall effect in NbN/Y3Fe5O12 (YIG) bilayers. A clear enhancement of +the (effective) Gilbert damping constant of the thin-film YIG was observed due +to the presence of the NbN spin sink. By varying the NbN thickness and +employing spin-diffusion theory, we have estimated the room temperature values +of the spin diffusion length and the spin Hall angle in NbN to be 14 nm and +-1.1 10-2, respectively. Furthermore, we have determined the spin-mixing +conductance of the NbN/YIG interface to be 10 nm-2. The experimental +quantification of these spin transport parameters is an important step towards +the development of superconducting spintronic devices involving NbN thin films.",1901.05753v1 +2018-12-03,Microscopic theory of magnon-drag electron flow in ferromagnetic metals,"A temperature gradient applied to a ferromagnetic metal induces not only +independent flows of electrons and magnons but also drag currents because of +their mutual interaction. In this paper, we present a microscopic study of the +electron flow induced by the drag due to magnons. The analysis is based on the +$s$-$d$ model, which describes conduction electrons and magnons coupled via the +$s$-$d$ exchange interaction. Magnetic impurities are introduced in the +electron subsystem as a source of spin relaxation. The obtained magnon-drag +electron current is proportional to the entropy of magnons and to $\alpha - +\beta$ (more precisely, to $1 - \beta/\alpha$), where $\alpha$ is the Gilbert +damping constant and $\beta$ is the dissipative spin-transfer torque parameter. +This result almost coincides with the previous phenomenological result based on +the magnonic spin-motive forces, and consists of spin-transfer and +momentum-transfer contributions, but with a slight disagreement in the former. +The result is interpreted in terms of the nonequilibrium spin chemical +potential generated by nonequilibrium magnons.",1812.00720v1 +2017-03-31,Spin Seebeck effect in Y-type hexagonal ferrite thin films,"Spin Seebeck effect (SSE) has been investigated in thin films of two +Y-hexagonal ferrites Ba$_2$Zn$_{2}$Fe$_{12}$O$_{22}$ (Zn2Y) and +Ba$_2$Co$_{2}$Fe$_{12}$O$_{22}$ (Co2Y) deposited by a spin-coating method on +SrTiO$_3$(111) substrate. The selected hexagonal ferrites are both +ferrimagnetic with similar magnetic moments at room temperature and both +exhibit easy magnetization plane normal to $c$-axis. Despite that, SSE signal +was only observed for Zn2Y, whereas no significant SSE signal was detected for +Co2Y. We tentatively explain this different behavior by a presence of two +different magnetic ions in Co2Y, whose random distribution over octahedral +sites interferes the long range ordering and enhances the Gilbert damping +constant. The temperature dependence of SSE for Zn2Y was measured and analyzed +with regard to the heat flux and temperature gradient relevant to the SSE +signal.",1703.10903v1 +2018-09-17,On the speed of domain walls in thin nanotubes: the transition from the linear to the magnonic regime,"Numerical simulations of domain wall propagation in thin nanotubes when an +external magnetic field is applied along the nanotube axis have shown an +unexpected behavior described as a transition from a linear to a magnonic +regime. As the applied magnetic field increases, the initial regime of linear +growth of the speed with the field is followed by a sudden change in slope +accompanied by the emission of spin waves. In this work an analytical formula +for the speed of the domain wall that explains this behavior is derived by +means of an asymptotic study of the Landau Lifshitz Gilbert equation for thin +nanotubes. We show that the dynamics can be reduced to a one dimensional +hyperbolic reaction diffusion equation, namely, the damped double Sine Gordon +equation, which shows the transition to the magnonic regime as the domain wall +speed approaches the speed of spin waves. This equation has been previously +found to describe domain wall propagation in weak ferromagnets with the +mobility proportional to the Dzyaloshinskii-Moriya interaction constant, for +Permalloy nanotubes the mobility is proportional to the nanotube radius.",1809.06278v3 +2012-02-15,Current-induced motion of a transverse magnetic domain wall in the presence of spin Hall effect,"We theoretically study the current-induced dynamics of a transverse magnetic +domain wall in bi-layer nanowires consisting of a ferromagnet on top of a +nonmagnet having strong spin-orbit coupling. Domain wall dynamics is +characterized by two threshold current densities, $J_{th}^{WB}$ and +$J_{th}^{REV}$, where $J_{th}^{WB}$ is a threshold for the chirality switching +of the domain wall and $J_{th}^{REV}$ is another threshold for the reversed +domain wall motion caused by spin Hall effect. Domain walls with a certain +chirality may move opposite to the electron-flow direction with high speed in +the current range $J_{th}^{REV} < J < J_{th}^{WB}$ for the system designed to +satisfy the conditions $J_{th}^{WB} > J_{th}^{REV}$ and \alpha > \beta, where +\alpha is the Gilbert damping constant and \beta is the nonadiabaticity of spin +torque. Micromagnetic simulations confirm the validity of analytical results.",1202.3450v1 +2018-02-07,Breaking the current density threshold in spin-orbit-torque magnetic random access memory,"Spin-orbit-torque magnetic random access memory (SOT-MRAM) is a promising +technology for the next generation of data storage devices. The main bottleneck +of this technology is the high reversal current density threshold. This +outstanding problem of SOT-MRAM is now solved by using a current density of +constant magnitude and varying flow direction that reduces the reversal current +density threshold by a factor of more than the Gilbert damping coefficient. The +Euler-Lagrange equation for the fastest magnetization reversal path and the +optimal current pulse are derived for an arbitrary magnetic cell. The +theoretical limit of minimal reversal current density and current density for a +GHz switching rate of the new reversal strategy for CoFeB/Ta SOT-MRAMs are +respectively of the order of $10^5$ A/cm$^2$ and $10^6$ A/cm$^2$ far below +$10^7$ A/cm$^2$ and $10^8$ A/cm$^2$ in the conventional strategy. Furthermore, +no external magnetic field is needed for a deterministic reversal in the new +strategy.",1802.02415v1 +2020-05-11,Manipulating 1-dimensinal skyrmion motion by external magnetic field gradient,"We have investigated an analytic formula of the 1-dimensional magnetic +skyrmion dynamics under external magnetic field gradient. We find excellent +agreement between the analytical model and micromagnetic simulation results for +various magnetic parameters such as the magnetic field gradient, Gilbert +damping constant. We also observe much faster velocity of the chiral domain +wall (DW) motion. The chiral DW is exist with smaller interfacial +Dzyaloshinskii-Moriya interaction energy density cases. These results provide +to develop efficient control of skyrmion for spintronic devices.",2005.05011v1 +2021-02-15,Magnetodynamic properties of dipole-coupled 1D magnonic crystals,"Magnonic crystals are magnetic metamaterials, that provide a promising way to +manipulate magnetodynamic properties by controlling the geometry of the +patterned structures. Here, we study the magnetodynamic properties of 1D +magnonic crystals consisting of parallel NiFe strips with different strip +widths and separations. The strips couple via dipole-dipole interactions. As an +alternative to experiments and/or micromagnetic simulations, we investigate the +accuracy of a simple macrospin model. For the case of simple strips, a model +with a single free parameter to account for an overestimation of the +out-of-plane demagnetization of the magnonic lattice is described. By adjusting +this parameter a good fit with experimental as well as micromagnetic results is +obtained. Moreover, the Gilbert damping is found independent of the lattice +constant however the inhomogeneous linewidth broadening found to increase with +decreasing stripe separation.",2102.07712v2 +2024-03-25,Detection of spin pumping free of rectification and thermal artefacts in molecular-based ferromagnetic insulator V[TCNE]x~2,"The molecular-based ferrimagnetic insulator V(TCNE)x has gained recent +interest for efficient spin-wave excitation due to its low Gilbert damping +ratio a=4E-5, and narrow ferromagnetic resonance linewidth f=1Oe. Here we +report a clean spin pumping signal detected on V(TCNE)x/metal bilayer +structures, free from spin rectification or thermal artifacts. On-chip coupling +of microwave power is achieved via a coplanar waveguide to measure the in-plane +angle-dependence of the inverse spin-Hall effect under ferromagnetic resonance +conditions with respect to a constant external magnetic field. A signature of +pure spin current from V(TCNE)x is observed in both platinum and permalloy +metal layers, demonstrating the utility of V(TCNE)x for magnon spintronics +studies in molecule/solid-state heterostructures.",2403.16429v2 +2007-05-10,Effective temperature and Gilbert damping of a current-driven localized spin,"Starting from a model that consists of a semiclassical spin coupled to two +leads we present a microscopic derivation of the Langevin equation for the +direction of the spin. For slowly-changing direction it takes on the form of +the stochastic Landau-Lifschitz-Gilbert equation. We give expressions for the +Gilbert damping parameter and the strength of the fluctuations, including their +bias-voltage dependence. At nonzero bias-voltage the fluctuations and damping +are not related by the fluctuation-dissipation theorem. We find, however, that +in the low-frequency limit it is possible to introduce a voltage-dependent +effective temperature that characterizes the fluctuations in the direction of +the spin, and its transport-steady-state probability distribution function.",0705.1432v3 +2014-12-05,Calculating linear response functions for finite temperatures on the basis of the alloy analogy model,"A scheme is presented that is based on the alloy analogy model and allows to +account for thermal lattice vibrations as well as spin fluctuations when +calculating response quantities in solids. Various models to deal with spin +fluctuations are discussed concerning their impact on the resulting temperature +dependent magnetic moment, longitudinal conductivity and Gilbert damping +parameter. It is demonstrated that using the Monte Carlo (MC) spin +configuration as an input, the alloy analogy model is capable to reproduce +results of MC simulations on the average magnetic moment within all spin +fluctuation models under discussion. On the other hand, response quantities are +much more sensitive to the spin fluctuation model. Separate calculations +accounting for either the thermal effect due to lattice vibrations or spin +fluctuations show their comparable contributions to the electrical conductivity +and Gilbert damping. However, comparison to results accounting for both thermal +effects demonstrate violation of Matthiessen's rule, showing the non-additive +effect of lattice vibrations and spin fluctuations. The results obtained for +bcc Fe and fcc Ni are compared with the experimental data, showing rather good +agreement for the temperature dependent electrical conductivity and Gilbert +damping parameter.",1412.1988v1 +2015-10-13,Nonlocal torque operators in ab initio theory of the Gilbert damping in random ferromagnetic alloys,"We present an ab initio theory of the Gilbert damping in substitutionally +disordered ferromagnetic alloys. The theory rests on introduced nonlocal +torques which replace traditional local torque operators in the well-known +torque-correlation formula and which can be formulated within the atomic-sphere +approximation. The formalism is sketched in a simple tight-binding model and +worked out in detail in the relativistic tight-binding linear muffin-tin +orbital (TB-LMTO) method and the coherent potential approximation (CPA). The +resulting nonlocal torques are represented by nonrandom, non-site-diagonal and +spin-independent matrices, which simplifies the configuration averaging. The +CPA-vertex corrections play a crucial role for the internal consistency of the +theory and for its exact equivalence to other first-principles approaches based +on the random local torques. This equivalence is also illustrated by the +calculated Gilbert damping parameters for binary NiFe and FeCo random alloys, +for pure iron with a model atomic-level disorder, and for stoichiometric FePt +alloys with a varying degree of L10 atomic long-range order.",1510.03571v2 +2012-11-15,Spin transport and tunable Gilbert damping in a single-molecule magnet junction,"We study time-dependent electronic and spin transport through an electronic +level connected to two leads and coupled with a single-molecule magnet via +exchange interaction. The molecular spin is treated as a classical variable and +precesses around an external magnetic field. We derive expressions for charge +and spin currents by means of the Keldysh non-equilibrium Green's functions +technique in linear order with respect to the time-dependent magnetic field +created by this precession. The coupling between the electronic spins and the +magnetization dynamics of the molecule creates inelastic tunneling processes +which contribute to the spin currents. The inelastic spin currents, in turn, +generate a spin-transfer torque acting on the molecular spin. This back-action +includes a contribution to the Gilbert damping and a modification of the +precession frequency. The Gilbert damping coefficient can be controlled by the +bias and gate voltages or via the external magnetic field and has a +non-monotonic dependence on the tunneling rates.",1211.3611v2 +2018-10-15,Localized spin waves in isolated $kπ$ skyrmions,"The localized magnon modes of isolated $k\pi$ skyrmions on a field-polarized +background are analyzed based on the Landau-Lifshitz-Gilbert equation within +the terms of an atomistic classical spin model, with system parameters based on +the Pd/Fe biatomic layer on Ir(111). For increasing skyrmion order $k$ a higher +number of excitation modes are found, including modes with nodes in the radial +eigenfunctions. It is shown that at low fields $2\pi$ and $3\pi$ skyrmions are +destroyed via a burst instability connected to a breathing mode, while $1\pi$ +skyrmions undergo an elliptic instability. At high fields all $k\pi$ skyrmions +collapse due to the instability of a breathing mode. The effective damping +parameters of the spin waves are calculated in the low Gilbert damping limit, +and they are found to diverge in the case of the lowest-lying modes at the +burst and collapse instabilities, but not at the elliptic instability. It is +shown that the breathing modes of $k\pi$ skyrmions may become overdamped at +higher Gilbert damping values.",1810.06471v1 +2018-10-24,Nearly isotropic spin-pumping related Gilbert damping in Pt/Ni$_{81}$Fe$_{19}$/Pt,"A recent theory by Chen and Zhang [Phys. Rev. Lett. 114, 126602 (2015)] +predicts strongly anisotropic damping due to interfacial spin-orbit coupling in +ultrathin magnetic films. Interfacial Gilbert-type relaxation, due to the spin +pumping effect, is predicted to be significantly larger for magnetization +oriented parallel to compared with perpendicular to the film plane. Here, we +have measured the anisotropy in the Pt/Ni$_{81}$Fe$_{19}$/Pt system via +variable-frequency, swept-field ferromagnetic resonance (FMR). We find a very +small anisotropy of enhanced Gilbert damping with sign opposite to the +prediction from the Rashba effect at the FM/Pt interface. The results are +contrary to the predicted anisotropy and suggest that a mechanism separate from +Rashba spin-orbit coupling causes the rapid onset of spin-current absorption in +Pt.",1810.10595v4 +2016-12-07,Gilbert damping of magnetostatic modes in a yttrium iron garnet sphere,"The magnetostatic mode (MSM) spectrum of a 300$\mu$m diameter single +crystalline sphere of yttrium iron garnet is investigated using broadband +ferromagnetic resonance (FMR). The individual MSMs are identified via their +characteristic dispersion relations and the corresponding mode number tuples +$(nmr)$ are assigned. Taking FMR data over a broad frequency and magnetic field +range allows to analyze both the Gilbert damping parameter~$\alpha$ and the +inhomogeneous line broadening contribution to the total linewidth of the MSMs +separately. The linewidth analysis shows that all MSMs share the same Gilbert +damping parameter $\alpha=2.7(5) \times 10^{-5}$ irrespective of their mode +index. In contrast, the inhomogeneous line broadening shows a pronounced mode +dependence. This observation is modeled in terms of two-magnon scattering +processes of the MSMs into the spin-wave manifold, mediated by surface and +volume defects.",1612.02360v1 +2018-05-29,Gilbert damping in non-collinear magnetic system,"The modification of the magnetization dissipation or Gilbert damping caused +by an inhomogeneous magnetic structure and expressed in terms of a wave vector +dependent tensor $\underline{\alpha}(\vec{q})$ is investigated by means of +linear response theory. A corresponding expression for +$\underline{\alpha}(\vec{q})$ in terms of the electronic Green function has +been developed giving in particular the leading contributions to the Gilbert +damping linear and quadratic in $q$. Numerical results for realistic systems +are presented that have been obtained by implementing the scheme within the +framework of the fully relativistic KKR (Korringa-Kohn-Rostoker) band structure +method. Using the multilayered system (Cu/Fe$_{1-x}$Co$_x$/Pt)$_n$ as an +example for systems without inversion symmetry we demonstrate the occurrence of +non-vanishing linear contributions. For the alloy system bcc Fe$_{1-x}$Co$_x$ +having inversion symmetry, on the other hand, only the quadratic contribution +is non-zero. As it is shown, this quadratic contribution does not vanish even +if the spin-orbit coupling is suppressed, i.e.\ it is a direct consequence of +the non-collinear spin configuration.",1805.11468v1 +2005-05-10,Fluctuation-dissipation considerations and damping models for ferromagnetic materials,"The role of fluctuation-dissipation relations (theorems) for the +magnetization dynamics with Landau-Lifshitz-Gilbert and Bloch-Bloembergen +damping terms are discussed. We demonstrate that the use of the Callen-Welton +fluctuation-dissipation theorem that was proven for Hamiltonian systems can +give an inconsistent result for magnetic systems with dissipation.",0505259v1 +2014-08-02,Tunnel magnetoresistance and spin-transfer-torque switching in polycrystalline Co2FeAl full-Heusler alloy magnetic tunnel junctions on Si/SiO2 amorphous substrates,"We studied polycrystalline B2-type Co2FeAl (CFA) full-Heusler alloy based +magnetic tunnel junctions (MTJs) fabricated on a Si/SiO2 amorphous substrate. +Polycrystalline CFA films with a (001) orientation, a high B2 ordering, and a +flat surface were achieved using a MgO buffer layer. A tunnel magnetoresistance +(TMR) ratio up to 175% was obtained for an MTJ with a CFA/MgO/CoFe structure on +a 7.5-nm-thick MgO buffer. Spin-transfer torque induced magnetization switching +was achieved in the MTJs with a 2-nm-thick polycrystalline CFA film as a +switching layer. Using a thermal activation model, the intrinsic critical +current density (Jc0) was determined to be 8.2 x 10^6 A/cm^2, which is lower +than 2.9 x 10^7 A/cm^2, the value for epitaxial CFA-MTJs [Appl. Phys. Lett. +100, 182403 (2012)]. We found that the Gilbert damping constant evaluated using +ferromagnetic resonance measurements for the polycrystalline CFA film was +~0.015 and was almost independent of the CFA thickness (2~18 nm). The low Jc0 +for the polycrystalline MTJ was mainly attributed to the low damping of the CFA +layer compared with the value in the epitaxial one (~0.04).",1408.0341v1 +2018-02-20,Ultrafast magnetization dynamics in pure and doped Heusler and inverse Heusler alloys,"By using a multiscale approach based on first-principles density functional +theory combined with atomistic spin dynamics, we investigate the electronic +structure and magnetization dynamics of an inverse Heusler and a Heusler +compound and their alloys, i. e. Mn$_{2-x}Z_x$CoAl and Mn$_{2-x}Z_x$VAl, where +$Z$ = Mo, W, Os and Ru, respectively. A signature of the ferrimagnetic ordering +of Mn$_{2}$CoAl and Mn$_{2}$VAl Heusler alloys is reflected in the calculated +Heisenberg exchange constants. They decay very rapidly with the interatomic +distance and have short range, which is a consequence of the existence of the +finite gap in the minority spin band. The calculated Gilbert damping parameter +of both Mn$_2$CoAl and Mn$_2$VAl is high compared to other half-metals, but +interestingly in the particular case of the inverse Mn$_{2}$CoAl alloys and due +to the spin-gapless semiconducting property, the damping parameters decrease +with the doping concentration in clear contradiction to the general trend. +Atomistic spin dynamics simulations predict ultrafast magnetisation switching +in Mn$_{2}$CoAl and Mn$_{2}$VAl under the influence of an external magnetic +field, starting from a threshold field of $2\text{T}$. Our overall finding +extends with Heusler and inverse Heusler alloys, the class of materials that +exhibits laser induced magnetic switching.",1802.07195v1 +2018-07-13,Gilbert damping of high anisotropy Co/Pt multilayers,"Using broadband ferromagnetic resonance, we measure the damping parameter of +[Co(5 \r{A})/Pt(3 \r{A})]${\times 6}$ multilayers whose growth was optimized to +maximize the perpendicular anisotropy. Structural characterizations indicate +abrupt interfaces essentially free of intermixing despite the miscible +character of Co and Pt. Gilbert damping parameters as low as 0.021 can be +obtained despite a magneto-crystalline anisotropy as large as +$10^6~\textrm{J/m}^3$. The inhomogeneous broadening accounts for part of the +ferromagnetic resonance linewidth, indicating some structural disorder leading +to a equivalent 20 mT of inhomogenity of the effective field. The unexpectedly +relatively low damping factor indicates that the presence of the Pt heavy metal +within the multilayer may not be detrimental to the damping provided that +intermixing is avoided at the Co/Pt interfaces.",1807.04977v1 +2019-08-23,Damping enhancement in coherent ferrite/insulating-paramagnet bilayers,"High-quality epitaxial ferrites, such as low-damping MgAl-ferrite (MAFO), are +promising nanoscale building blocks for all-oxide heterostructures driven by +pure spin current. However, the impact of oxide interfaces on spin dynamics in +such heterostructures remains an open question. Here, we investigate the spin +dynamics and chemical and magnetic depth profiles of 15-nm-thick MAFO +coherently interfaced with an isostructural $\approx$1-8-nm-thick overlayer of +paramagnetic CoCr$_2$O$_4$ (CCO) as an all-oxide model system. Compared to MAFO +without an overlayer, effective Gilbert damping in MAFO/CCO is enhanced by a +factor of $>$3, irrespective of the CCO overlayer thickness. We attribute this +damping enhancement to spin scattering at the $\sim$1-nm-thick chemically +disordered layer at the MAFO/CCO interface, rather than spin pumping or +proximity-induced magnetism. Our results indicate that damping in ferrite-based +heterostructures is strongly influenced by interfacial chemical disorder, even +if the thickness of the disordered layer is a small fraction of the ferrite +thickness.",1908.08629v2 +2006-11-23,Analytical solutions for two-level systems with damping,"A method is proposed to transform any analytic solution of the Bloch equation +into an analytic solution of the Landau-Lifshitz-Gilbert equation. This allows +for the analytical description of the dynamics of a two level system with +damping. This method shows that damping turns the linear Schr\""{o}dinger +equation of a two-level system into a nonlinear Schr\""{o}dinger equation. As +applications, it is shown that damping has a relatively mild influence on +self-induced transparency but destroys dynamical localization.",0611238v1 +2017-08-03,Evolution of the interfacial perpendicular magnetic anisotropy constant of the Co$_2$FeAl/MgO interface upon annealing,"We investigate thickness series of films of the Heusler alloy Co$_2$FeAl in +order to study the effect of annealing on the interface with a MgO layer and on +the bulk magnetic properties. Our results reveal that while the perpendicular +interface anisotropy constant $K^{\perp}_{\rm S}$ is zero for the as-deposited +samples, its value increases with annealing up to a value of $1.14\, \pm +\,0.07$~mJ/m$^2$ for the series annealed at 320$^{\rm o}$C and of $2.07\, \pm +\,0.7$~mJ/m$^2$ for the 450$^{\rm o}$C annealed series owing to a strong +modification of the interface during the thermal treatment. This large value +ensures a stabilization of a perpendicular magnetization orientation for a +thickness below 1.7~nm. The data additionally shows that the in-plane biaxial +anisotropy constant has a different evolution with thickness in as-deposited +and annealed systems. The Gilbert damping parameter $\alpha$ shows minima for +all series for a thickness of 40~nm and an absolute minimum value of +$2.8\pm0.1\cdot10^{-3}$. The thickness dependence is explained in terms of an +inhomogenous magnetization state generated by the interplay between the +different anisotropies of the system and by crystalline disorder.",1708.01126v2 +2017-01-10,Magnetic properties in ultra-thin 3d transition metal alloys II: Experimental verification of quantitative theories of damping and spin-pumping,"A systematic experimental study of Gilbert damping is performed via +ferromagnetic resonance for the disordered crystalline binary 3d transition +metal alloys Ni-Co, Ni-Fe and Co-Fe over the full range of alloy compositions. +After accounting for inhomogeneous linewidth broadening, the damping shows +clear evidence of both interfacial damping enhancement (by spin pumping) and +radiative damping. We quantify these two extrinsic contributions and thereby +determine the intrinsic damping. The comparison of the intrinsic damping to +multiple theoretical calculations yields good qualitative and quantitative +agreement in most cases. Furthermore, the values of the damping obtained in +this study are in good agreement with a wide range of published experimental +and theoretical values. Additionally, we find a compositional dependence of the +spin mixing conductance.",1701.02475v1 +2014-07-02,Spin Waves in Ferromagnetic Insulators Coupled via a Normal Metal,"Herein, we study the spin-wave dispersion and dissipation in a ferromagnetic +insulator--normal metal--ferromagnetic insulator system. Long-range dynamic +coupling because of spin pumping and spin transfer lead to collective magnetic +excitations in the two thin-film ferromagnets. In addition, the dynamic dipolar +field contributes to the interlayer coupling. By solving the +Landau-Lifshitz-Gilbert-Slonczewski equation for macrospin excitations and the +exchange-dipole volume as well as surface spin waves, we compute the effect of +the dynamic coupling on the resonance frequencies and linewidths of the various +modes. The long-wavelength modes may couple acoustically or optically. In the +absence of spin-memory loss in the normal metal, the spin-pumping-induced +Gilbert damping enhancement of the acoustic mode vanishes, whereas the optical +mode acquires a significant Gilbert damping enhancement, comparable to that of +a system attached to a perfect spin sink. The dynamic coupling is reduced for +short-wavelength spin waves, and there is no synchronization. For intermediate +wavelengths, the coupling can be increased by the dipolar field such that the +modes in the two ferromagnetic insulators can couple despite possible small +frequency asymmetries. The surface waves induced by an easy-axis surface +anisotropy exhibit much greater Gilbert damping enhancement. These modes also +may acoustically or optically couple, but they are unaffected by thickness +asymmetries.",1407.0635v1 +2015-10-07,"Tunable damping, saturation magnetization, and exchange stiffness of half-Heusler NiMnSb thin films","The half-metallic half-Heusler alloy NiMnSb is a promising candidate for +applications in spintronic devices due to its low magnetic damping and its rich +anisotropies. Here we use ferromagnetic resonance (FMR) measurements and +calculations from first principles to investigate how the composition of the +epitaxially grown NiMnSb influences the magnetodynamic properties of saturation +magnetization $M_S$, Gilbert damping $\alpha$, and exchange stiffness $A$. +$M_S$ and $A$ are shown to have a maximum for stoichiometric composition, while +the Gilbert damping is minimum. We find excellent quantitative agreement +between theory and experiment for $M_S$ and $\alpha$. The calculated $A$ shows +the same trend as the experimental data, but has a larger magnitude. +Additionally to the unique in-plane anisotropy of the material, these +tunabilities of the magnetodynamic properties can be taken advantage of when +employing NiMnSb films in magnonic devices.",1510.01894v1 +2017-08-07,"Chiral damping, chiral gyromagnetism and current-induced torques in textured one-dimensional Rashba ferromagnets","We investigate Gilbert damping, spectroscopic gyromagnetic ratio and +current-induced torques in the one-dimensional Rashba model with an additional +noncollinear magnetic exchange field. We find that the Gilbert damping differs +between left-handed and right-handed N\'eel-type magnetic domain walls due to +the combination of spatial inversion asymmetry and spin-orbit interaction +(SOI), consistent with recent experimental observations of chiral damping. +Additionally, we find that also the spectroscopic $g$ factor differs between +left-handed and right-handed N\'eel-type domain walls, which we call chiral +gyromagnetism. We also investigate the gyromagnetic ratio in the Rashba model +with collinear magnetization, where we find that scattering corrections to the +$g$ factor vanish for zero SOI, become important for finite spin-orbit +coupling, and tend to stabilize the gyromagnetic ratio close to its +nonrelativistic value.",1708.02008v2 +2017-09-14,Intrinsic Damping Phenomena from Quantum to Classical Magnets:An ab-initio Study of Gilbert Damping in Pt/Co Bilayer,"A fully quantum mechanical description of the precessional damping of Pt/Co +bilayer is presented in the framework of the Keldysh Green function approach +using {\it ab initio} electronic structure calculations. In contrast to +previous calculations of classical Gilbert damping ($\alpha_{GD}$), we +demonstrate that $\alpha_{GD}$ in the quantum case does not diverge in the +ballistic regime due to the finite size of the total spin, $S$. In the limit of +$S\rightarrow\infty$ we show that the formalism recovers the torque correlation +expression for $\alpha_{GD}$ which we decompose into spin-pumping and +spin-orbital torque correlation contributions. The formalism is generalized to +take into account a self consistently determined dephasing mechanism which +preserves the conservation laws and allows the investigation of the effect of +disorder. The dependence of $\alpha_{GD}$ on Pt thickness and disorder strength +is calculated and the spin diffusion length of Pt and spin mixing conductance +of the bilayer are determined and compared with experiments.",1709.04911v2 +2006-02-03,Microscopic description of Landau-Lifshitz-Gilbert type equation based on the s-d model,"A Landau-Lifshitz-Gilbert type equation has been derived by using s-d model +in which the s-electron system is regarded as an environment coupled weakly +with the localized spins. Based on the irreducible linear response theory, we +show that the relaxation function of the s-electron spin leads to the Gilbert +type damping term which corresponds to the retarded resistance function in the +generalized Langevin equation. The Ohmic form of the Gilbert term stems from +the fact that the imaginary part of the response function (spin susceptibility) +of the itinerant electron system is proportional to the frequency (omega) in +the low omega region. It is confirmed that the Caldeira-Leggett theory based on +the path-integral approach gives the same result.",0602075v2 +2005-01-02,Effect of dipolar interactions on the magnetization of a cubic array of nanomagnets,"We investigated the effect of intermolecular dipolar interactions on a cubic +3D ensemble of 5X5X4=100 nanomagnets, each with spin $S = 5$. We employed the +Landau-Lifshitz-Gilbert equation to solve for the magnetization $M(B)$ curves +for several values of the damping constant $\alpha$, the induction sweep rate, +the lattice constant $a$, the temperature $T$, and the magnetic anisotropy +field $H_A$. We find that the smaller the $\alpha$, the stronger the maximum +induction required to produce hysteresis. The shape of the hysteresis loops +also depends on the damping constant. We find further that the system +magnetizes and demagnetizes at decreasing magnetic field strengths with +decreasing sweep rates, resulting in smaller hysteresis loops. Variations of +$a$ within realistic values (1.5 nm - 2.5 nm) show that the dipolar interaction +plays an important role in the magnetic hysteresis by controlling the +relaxation process. The $T$ dependencies of $\alpha$ and of $M$ are presented +and discussed with regard to recent experimental data on nanomagnets. $H_A$ +enhances the size of the hysteresis loops for external fields parallel to the +anisotropy axis, but decreases it for perpendicular external fields. Finally, +we reproduce and test an $M(B)$ curve for a 2D-system [M. Kayali and W. Saslow, +Phys. Rev. B {\bf 70}, 174404 (2004)]. We show that its hysteretic behavior is +only weakly dependent on the shape anisotropy field and the sweep rate, but +depends sensitively upon the dipolar interactions. Although in 3D systems, +dipole-dipole interactions generally diminish the hysteresis, in 2D systems, +they strongly enhance it. For both square 2D and rectangular 3D lattices with +${\bm B}||(\hat{\bm x}+\hat{\bm y})$, dipole-dipole interactions can cause +large jumps in the magnetization.",0501006v2 +2021-12-21,Fast long-wavelength exchange spin waves in partially-compensated Ga:YIG,"Spin waves in yttrium iron garnet (YIG) nano-structures attract increasing +attention from the perspective of novel magnon-based data processing +applications. For short wavelengths needed in small-scale devices, the group +velocity is directly proportional to the spin-wave exchange stiffness constant +$\lambda_\mathrm{ex}$. Using wave vector resolved Brillouin Light Scattering +(BLS) spectroscopy, we directly measure $\lambda_\mathrm{ex}$ in Ga-substituted +YIG thin films and show that it is about three times larger than for pure YIG. +Consequently, the spin-wave group velocity overcomes the one in pure YIG for +wavenumbers $k > 4$ rad/$\mu$m, and the ratio between the velocities reaches a +constant value of around 3.4 for all $k > 20$ rad/$\mu$m. As revealed by +vibrating-sample magnetometry (VSM) and ferromagnetic resonance (FMR) +spectroscopy, Ga:YIG films with thicknesses down to 59 nm have a low Gilbert +damping ($\alpha < 10^{-3}$), a decreased saturation magnetization $\mu_0 +M_\mathrm{S}~\approx~20~$mT and a pronounced out-of-plane uniaxial anisotropy +of about $\mu_0 H_{\textrm{u1}} \approx 95 $ mT which leads to an out-of-plane +easy axis. Thus, Ga:YIG opens access to fast and isotropic spin-wave transport +for all wavelengths in nano-scale systems independently of dipolar effects.",2112.11348v1 +2014-09-08,Self-similar solutions of the one-dimensional Landau-Lifshitz-Gilbert equation,"We consider the one-dimensional Landau-Lifshitz-Gilbert (LLG) equation, a +model describing the dynamics for the spin in ferromagnetic materials. Our main +aim is the analytical study of the bi-parametric family of self-similar +solutions of this model. In the presence of damping, our construction provides +a family of global solutions of the LLG equation which are associated to a +discontinuous initial data of infinite (total) energy, and which are smooth and +have finite energy for all positive times. Special emphasis will be given to +the behaviour of this family of solutions with respect to the Gilbert damping +parameter. + We would like to emphasize that our analysis also includes the study of +self-similar solutions of the Schr\""odinger map and the heat flow for harmonic +maps into the 2-sphere as special cases. In particular, the results presented +here recover some of the previously known results in the setting of the +1d-Schr\""odinger map equation.",1409.2340v1 +2017-09-12,Green's function formalism for spin transport in metal-insulator-metal heterostructures,"We develop a Green's function formalism for spin transport through +heterostructures that contain metallic leads and insulating ferromagnets. While +this formalism in principle allows for the inclusion of various magnonic +interactions, we focus on Gilbert damping. As an application, we consider +ballistic spin transport by exchange magnons in a metal-insulator-metal +heterostructure with and without disorder. For the former case, we show that +the interplay between disorder and Gilbert damping leads to spin current +fluctuations. For the case without disorder, we obtain the dependence of the +transmitted spin current on the thickness of the ferromagnet. Moreover, we show +that the results of the Green's function formalism agree in the clean and +continuum limit with those obtained from the linearized stochastic +Landau-Lifshitz-Gilbert equation. The developed Green's function formalism is a +natural starting point for numerical studies of magnon transport in +heterostructures that contain normal metals and magnetic insulators.",1709.03775v1 +2010-02-17,Measurement of Gilbert damping parameters in nanoscale CPP-GMR spin-valves,"In-situ, device level measurement of thermal mag-noise spectral linewidths in +60nm diameter CPP-GMR spin-valve stacks of IrMn/ref/Cu/free, with reference and +free layer of similar CoFe/CoFeGe alloy, are used to simultaneously determine +the intrinsic Gilbert damping for both magnetic layers. It is shown that +careful alignment at a ""magic-angle"" between free and reference layer static +equilibrium magnetization can allow direct measurement of the broadband +intrinsic thermal spectra in the virtual absence of spin-torque effects which +otherwise grossly distort the spectral line shapes and require linewidth +extrapolations to zero current (which are nonetheless also shown to agree well +with the direct method). The experimental magic-angle spectra are shown to be +in good qualitative and quantitative agreement with both macrospin calculations +and micromagnetic eigenmode analysis. Despite similar composition and +thickness, it is repeatedly found that the IrMn exchange pinned reference layer +has ten times larger intrinsic Gilbert damping (alpha ~ 0.1) than that of the +free-layer (alpha ~ 0.01). It is argued that the large reference layer damping +results from strong, off -resonant coupling to to lossy modes of an IrMn/ref +couple, rather than commonly invoked two-magnon processes.",1002.3295v1 +2018-09-28,Isotropic non-local Gilbert damping driven by spin currents in epitaxial Pd/Fe/MgO(001) films,"Although both theoretical predications and experimental observations +demonstrated that the damping factor is anisotropic at +ferromagnet/semiconductor interface with robust interfacial spin-orbit +coupling, it is not well understood whether non-local Gilbert damping driven by +spin currents in heavy metal/ferromagnetic metal (HM/FM) bilayers is +anisotropic or not. Here, we investigated the in-plane angular- and frequency- +dependence of magnetic relaxation of epitaxial Fe/MgO(001) films with different +capping layers of Pd and Cu. After disentangling the parasitic contributions, +such as two-magnon scattering (TMS), mosaicity, and field-dragging effect, we +unambiguously observed that both local and non-local Gilbert damping are +isotropic in Fe(001) plane, suggesting that the pure spin currents absorption +is independent of Fe magnetization orientation in the epitaxial Pd/Fe +heterostructure. First principles calculation reveals that the effective spin +mixing conductance of Pd/Fe interface is nearly invariant for different +magnetization directions in good agreement with the experimental observations. +These results offer a valuable insight into the transmission and absorption of +pure spin currents, and facilitate us to utilize next-generation spintronic +devices.",1809.11020v1 +2004-09-24,Minimal field requirement in precessional magnetization switching,"We investigate the minimal field strength in precessional magnetization +switching using the Landau-Lifshitz-Gilbert equation in under-critically damped +systems. It is shown that precessional switching occurs when localized +trajectories in phase space become unlocalized upon application of field +pulses. By studying the evolution of the phase space, we obtain the analytical +expression of the critical switching field in the limit of small damping for a +magnetic object with biaxial anisotropy. We also calculate the switching times +for the zero damping situation. We show that applying field along the medium +axis is good for both small field and fast switching times.",0409671v1 +2003-09-29,Damping rates of the atomic velocity in Sisyphus cooling,"We present a theoretical and experimental study of the damping process of the +atomic velocity in Sisyphus cooling. The relaxation rates of the atomic kinetic +temperature are determined for a 3D lin$\perp$lin optical lattice. We find that +the damping rates of the atomic temperature depend linearly on the optical +pumping rate, for a given depth of the potential wells. This is at variance +with the behavior of the friction coefficient as calculated from the spatial +diffusion coefficients within a model of Brownian motion. The origin of this +different behavior is identified by distinguishing the role of the trapped and +traveling atoms.",0309209v1 +2011-11-04,Tunable magnetization relaxation in spin valves,"In spin values the damping parameters of the free layer are determined +non-locally by the entire magnetic configuration. In a dual spin valve +structure that comprises a free layer embedded between two pinned layers, the +spin pumping mechanism, in combination with the angular momentum conservation, +renders the tensor-like damping parameters tunable by varying the interfacial +and diffusive properties. Simulations based on the Landau-Lifshitz-Gilbert +phenomenology for a macrospin model are performed with the tensor-like damping +and the relaxation time of the free layer magnetization is found to be largely +dependent on while tunable through the magnetic configuration of the +source-drain magnetization.",1111.1219v1 +2012-05-25,Spin wave amplification driven by heat flow: the role of damping and exchange interaction,"In this article we report on micromagnetic simulations performed on a +permalloy nanostructure in presence of a uniform thermal gradient. Our +numerical simulations show that heat flow is an effective mean to compensate +the damping, and that the gradients at which spin-wave amplification is +observed are experimentally accessible. In particular, we have studied the role +of the Gilbert damping parameter on spin-wave amplification.",1205.5650v2 +2015-04-23,Magnetization damping in noncollinear spin valves with antiferromagnetic interlayer couplings,"We study the magnetic damping in the simplest of synthetic antiferromagnets, +i.e. antiferromagnetically exchange-coupled spin valves in which applied +magnetic fields tune the magnetic configuration to become noncollinear. We +formulate the dynamic exchange of spin currents in a noncollinear texture based +on the spindiffusion theory with quantum mechanical boundary conditions at the +ferrromagnet|normal-metal interfaces and derive the Landau-Lifshitz-Gilbert +equations coupled by the static interlayer non-local and the dynamic exchange +interactions. We predict non-collinearity-induced additional damping that can +be sensitively modulated by an applied magnetic field. The theoretical results +compare favorably with published experiments.",1504.06042v1 +2016-05-05,Theory of magnon motive force in chiral ferromagnets,"We predict that magnon motive force can lead to temperature dependent, +nonlinear chiral damping in both conducting and insulating ferromagnets. We +estimate that this damping can significantly influence the motion of skyrmions +and domain walls at finite temperatures. We also find that in systems with low +Gilbert damping moving chiral magnetic textures and resulting magnon motive +forces can induce large spin and energy currents in the transverse direction.",1605.01694v2 +2018-04-19,Damping of magnetization dynamics by phonon pumping,"We theoretically investigate pumping of phonons by the dynamics of a magnetic +film into a non-magnetic contact. The enhanced damping due to the loss of +energy and angular momentum shows interference patterns as a function of +resonance frequency and magnetic film thickness that cannot be described by +viscous (""Gilbert"") damping. The phonon pumping depends on magnetization +direction as well as geometrical and material parameters and is observable, +e.g., in thin films of yttrium iron garnet on a thick dielectric substrate.",1804.07080v2 +2024-01-22,Damping-Enhanced Magnon Transmission,"The inevitable Gilbert damping in magnetization dynamics is usually regarded +as detrimental to spin transport. Here we demonstrate in a +ferromagnetic-insulator--normal-metal heterostructure that the strong momentum +dependence and chirality of the eddy-current-induced damping causes also +beneficial scattering properties. Here we show that a potential barrier that +reflects magnon wave packets becomes transparent in the presence of a metallic +cap layer, but only in one direction. We formulate the unidirectional +transmission in terms of a generalized group velocity with an imaginary +component and the magnon skin effect. This trick to turn presumably harmful +dissipation into useful functionalities should be useful for future quantum +magnonic devices.",2401.12022v1 +2008-07-18,Current-induced dynamics of spiral magnet,"We study the dynamics of the spiral magnet under the charge current by +solving the Landau-Lifshitz-Gilbert equation numerically. In the steady state, +the current ${\vec j}$ induces (i) the parallel shift of the spiral pattern +with velocity $v=(\beta/\alpha)j$ ($\alpha$, $\beta$: the Gilbert damping +coefficients), (ii) the uniform magnetization $M$ parallel or anti-parallel to +the current depending on the chirality of the spiral and the ratio $\beta / +\alpha $, and (iii) the change in the wavenumber $k$ of the spiral. These are +analyzed by the continuum effective theory using the scaling argument, and the +various nonequilibrium phenomena such as the chaotic behavior and +current-induced annealing are also discussed.",0807.2901v1 +2010-03-19,Dynamics of magnetization on the topological surface,"We investigate theoretically the dynamics of magnetization coupled to the +surface Dirac fermions of a three dimensional topological insulator, by +deriving the Landau-Lifshitz-Gilbert (LLG) equation in the presence of charge +current. Both the inverse spin-Galvanic effect and the Gilbert damping +coefficient $\alpha$ are related to the two-dimensional diagonal conductivity +$\sigma_{xx}$ of the Dirac fermion, while the Berry phase of the ferromagnetic +moment to the Hall conductivity $\sigma_{xy}$. The spin transfer torque and the +so-called $\beta$-terms are shown to be negligibly small. Anomalous behaviors +in various phenomena including the ferromagnetic resonance are predicted in +terms of this LLG equation.",1003.3769v1 +2013-09-28,High-efficiency GHz frequency doubling without power threshold in thin-film Ni81Fe19,"We demonstrate efficient second-harmonic generation at moderate input power +for thin film Ni81Fe19 undergoing ferromagnetic resonance (FMR). Powers of the +generated second-harmonic are shown to be quadratic in input power, with an +upconversion ratio three orders of magnitude higher than that demonstrated in +ferrite. The second harmonic signal generated exhibits a significantly lower +linewidth than that predicted by low-power Gilbert damping, and is excited +without threshold. Results are in good agreement with an analytic, approximate +expansion of the Landau-Lifshitz-Gilbert (LLG) equation.",1309.7483v1 +2018-03-19,Dynamics of a Magnetic Needle Magnetometer: Sensitivity to Landau-Lifshitz-Gilbert Damping,"An analysis of a single-domain magnetic needle in the presence of an external +magnetic field ${\bf B}$ is carried out with the aim of achieving a high +precision magnetometer. We determine the uncertainty $\Delta B$ of such a +device due to Gilbert dissipation and the associated internal magnetic field +fluctuations that gives rise to diffusion of the magnetic needle axis direction +${\bf n}$ and the needle orbital angular momentum. The levitation of the +magnetic needle in a magnetic trap and its stability are also analyzed.",1803.10064v2 +2008-11-04,Amplitude-Phase Coupling in a Spin-Torque Nano-Oscillator,"The spin-torque nano-oscillator in the presence of thermal fluctuation is +described by the normal form of the Hopf bifurcation with an additive white +noise. By the application of the reduction method, the amplitude-phase coupling +factor, which has a significant effect on the power spectrum of the spin-torque +nano-oscillator, is calculated from the Landau-Lifshitz-Gilbert-Slonczewski +equation with the nonlinear Gilbert damping. The amplitude-phase coupling +factor exhibits a large variation depending on in-plane anisotropy under the +practical external fields.",0811.0425v1 +2020-08-27,Nutation Resonance in Ferromagnets,"The inertial dynamics of magnetization in a ferromagnet is investigated +theoretically. The analytically derived dynamic response upon microwave +excitation shows two peaks: ferromagnetic and nutation resonances. The exact +analytical expressions of frequency and linewidth of the magnetic nutation +resonance are deduced from the frequency dependent susceptibility determined by +the inertial Landau-Lifshitz-Gilbert equation. The study shows that the +dependence of nutation linewidth on the Gilbert precession damping has a +minimum, which becomes more expressive with increase of the applied magnetic +field.",2008.12221v3 +2016-06-30,Skyrmion dynamics in a chiral magnet driven by periodically varying spin currents,"In this work, we investigated the spin dynamics in a slab of chiral magnets +induced by an alternating (ac) spin current. Periodic trajectories of the +skyrmion in real space are discovered under the ac current as a result of the +Magnus and viscous forces, which originate from the Gilbert damping, the spin +transfer torque, and the $ \beta $-nonadiabatic torque effects. The results are +obtained by numerically solving the Landau-Lifshitz-Gilbert equation and can be +explained by the Thiele equation characterizing the skyrmion core motion.",1606.09326v2 +2007-02-01,Adiabatic Domain Wall Motion and Landau-Lifshitz Damping,"Recent theory and measurements of the velocity of current-driven domain walls +in magnetic nanowires have re-opened the unresolved question of whether +Landau-Lifshitz damping or Gilbert damping provides the more natural +description of dissipative magnetization dynamics. In this paper, we argue that +(as in the past) experiment cannot distinguish the two, but that +Landau-Lifshitz damping nevertheless provides the most physically sensible +interpretation of the equation of motion. From this perspective, (i) adiabatic +spin-transfer torque dominates the dynamics with small corrections from +non-adiabatic effects; (ii) the damping always decreases the magnetic free +energy, and (iii) microscopic calculations of damping become consistent with +general statistical and thermodynamic considerations.",0702020v3 +2009-04-09,Evaluating the locality of intrinsic precession damping in transition metals,"The Landau-Lifshitz-Gilbert damping parameter is typically assumed to be a +local quantity, independent of magnetic configuration. To test the validity of +this assumption we calculate the precession damping rate of small amplitude +non-uniform mode magnons in iron, cobalt, and nickel. At scattering rates +expected near and above room temperature, little change in the damping rate is +found as the magnon wavelength is decreased from infinity to a length shorter +than features probed in recent experiments. This result indicates that +non-local effects due to the presence of weakly non-uniform modes, expected in +real devices, should not appreciably affect the dynamic response of the element +at typical operating temperatures. Conversely, at scattering rates expected in +very pure samples around cryogenic temperatures, non-local effects result in an +order of magnitude decrease in damping rates for magnons with wavelengths +commensurate with domain wall widths. While this low temperature result is +likely of little practical importance, it provides an experimentally testable +prediction of the non-local contribution of the spin-orbit torque-correlation +model of precession damping. None of these results exhibit strong dependence on +the magnon propagation direction.",0904.1455v1 +2004-05-02,Spin Dynamics and Multiple Reflections in Ferromagnetic Film in Contact with Normal Metal Layers,"Spin dynamics of a metallic ferromagnetic film imbedded between normal metal +layers is studied using the spin-pumping theory of Tserkovnyak et al. [Phys. +Rev. Lett. 88, 117601 (2002)]. The scattering matrix for this structure is +obtained using a spin-dependent potential with quantum well in the +ferromagnetic region. Owing to multiple reflections in the well, the excess +Gilbert damping and the gyromagnetic ratio exhibit quantum oscillations as a +function of the thickness of the ferromagnetic film. The wavelength of the +oscillations is given by the depth of the quantum well. For iron film imbedded +between gold layers, the amplitude of the oscillations of the Gilbert damping +is in an order of magnitude agreement with the damping observed by Urban et al. +[Phys. Rev. Lett. 87, 217204 (2001)]. The results are compared with the linear +response theory of Mills [Phys. Rev. B 68, 0144419 (2003)].",0405020v1 +2004-06-18,Spin pumping and magnetization dynamics in ferromagnet-Luttinger liquid junctions,"We study spin transport between a ferromagnet with time-dependent +magnetization and a conducting carbon nanotube or quantum wire, modeled as a +Luttinger liquid. The precession of the magnetization vector of the ferromagnet +due for instance to an outside applied magnetic field causes spin pumping into +an adjacent conductor. Conversely, the spin injection causes increased +magnetization damping in the ferromagnet. We find that, if the conductor +adjacent to the ferromagnet is a Luttinger liquid, spin pumping/damping is +suppressed by interactions, and the suppression has clear Luttinger liquid +power law temperature dependence. We apply our result to a few particular +setups. First we study the effective Landau-Lifshitz-Gilbert (LLG) coupled +equations for the magnetization vectors of the two ferromagnets in a FM-LL-FM +junction. Also, we compute the Gilbert damping for a FM-LL and a FM-LL-metal +junction.",0406437v1 +2004-10-30,Dynamics of Domain Wall in a Biaxial Ferromagnet With Spin-torque,"The dynamics of the domain wall (DW) in a biaxial ferromagnet interacting +with a spin-polarized current are described by sine-gordon (SG) equation +coupled with Gilbert damping term in this paper. Within our frame-work of this +model, we obtain a threshold of the current in the motion of a single DW with +the perturbation theory on kink soliton solution to the corresponding +ferromagnetic system, and the threshold is shown to be dependent on the Gilbert +damping term. Also, the motion properties of the DW are discussed for the zero- +and nonzero-damping cases, which shows that our theory to describe the dynamics +of the DW are self-consistent.",0411005v3 +2005-10-31,Time-Resolved Spin Torque Switching and Enhanced Damping in Py/Cu/Py Spin-Valve Nanopillars,"We report time-resolved measurements of current-induced reversal of a free +magnetic layer in Py/Cu/Py elliptical nanopillars at temperatures T = 4.2 K to +160 K. Comparison of the data to Landau-Lifshitz-Gilbert macrospin simulations +of the free layer switching yields numerical values for the spin torque and the +Gilbert damping parameters as functions of T. The damping is strongly +T-dependent, which we attribute to the antiferromagnetic pinning behavior of a +thin permalloy oxide layer around the perimeter of the free layer. This +adventitious antiferromagnetic pinning layer can have a major impact on spin +torque phenomena.",0510798v2 +2006-09-18,General Form of Magnetization Damping: Magnetization dynamics of a spin system evolving nonadiabatically and out of equilibrium,"Using an effective Hamiltonian including the Zeeman and internal +interactions, we describe the quantum theory of magnetization dynamics when the +spin system evolves non-adiabatically and out of equilibrium. The +Lewis-Riesenfeld dynamical invariant method is employed along with the +Liouville-von Neumann equation for the density matrix. We derive a dynamical +equation for magnetization defined with respect to the density operator with a +general form of magnetization damping that involves the non-equilibrium +contribution in addition to the Landau-Lifshitz-Gilbert equation. Two special +cases of the radiation-spin interaction and the spin-spin exchange interaction +are considered. For the radiation-spin interaction, the damping term is shown +to be of the Gilbert type, while in the spin-spin exchange interaction case the +results depend on a coupled chain of correlation functions.",0609431v2 +2010-12-25,Screw-pitch effect and velocity oscillation of domain-wall in ferromagnetic nanowire driven by spin-polarized current,"We investigate the dynamics of domain wall in ferromagnetic nanowire with +spin-transfer torque. The critical current condition is obtained analytically. +Below the critical current, we get the static domain wall solution which shows +that the spin-polarized current can't drive domain wall moving continuously. In +this case, the spin-transfer torque plays both the anti-precession and +anti-damping roles, which counteracts not only the spin-precession driven by +the effective field but also Gilbert damping to the moment. Above the critical +value, the dynamics of domain wall exhibits the novel screw-pitch effect +characterized by the temporal oscillation of domain wall velocity and width, +respectively. Both the theoretical analysis and numerical simulation +demonstrate that this novel phenomenon arise from the conjunctive action of +Gilbert-damping and spin-transfer torque. We also find that the roles of +spin-transfer torque are entirely contrary for the cases of below and above the +critical current.",1012.5473v1 +2014-06-24,Interface enhancement of Gilbert damping from first-principles,"The enhancement of Gilbert damping observed for Ni80Fe20 (Py) films in +contact with the non-magnetic metals Cu, Pd, Ta and Pt, is quantitatively +reproduced using first-principles scattering theory. The ""spin-pumping"" theory +that qualitatively explains its dependence on the Py thickness is generalized +to include a number of factors known to be important for spin transport through +interfaces. Determining the parameters in this theory from first-principles +shows that interface spin-flipping makes an essential contribution to the +damping enhancement. Without it, a much shorter spin-flip diffusion length for +Pt would be needed than the value we calculate independently.",1406.6225v2 +2016-07-18,Magnetic Skyrmion Transport in a Nanotrack With Spatially Varying Damping and Non-adiabatic Torque,"Reliable transport of magnetic skyrmions is required for any future +skyrmion-based information processing devices. Here we present a micromagnetic +study of the in-plane current-driven motion of a skyrmion in a ferromagnetic +nanotrack with spatially sinusoidally varying Gilbert damping and/or +non-adiabatic spin-transfer torque coefficients. It is found that the skyrmion +moves in a sinusoidal pattern as a result of the spatially varying Gilbert +damping and/or non-adiabatic spin-transfer torque in the nanotrack, which could +prevent the destruction of the skyrmion caused by the skyrmion Hall effect. The +results provide a guide for designing and developing the skyrmion transport +channel in skyrmion-based spintronic applications.",1607.04983v3 +2016-10-21,Spin transport and dynamics in all-oxide perovskite La$_{2/3}$Sr$_{1/3}$MnO$_3$/SrRuO$_3$ bilayers probed by ferromagnetic resonance,"Thin films of perovskite oxides offer the possibility of combining emerging +concepts of strongly correlated electron phenomena and spin current in magnetic +devices. However, spin transport and magnetization dynamics in these complex +oxide materials are not well understood. Here, we experimentally quantify spin +transport parameters and magnetization damping in epitaxial perovskite +ferromagnet/paramagnet bilayers of La$_{2/3}$Sr$_{1/3}$MnO$_3$/SrRuO$_3$ +(LSMO/SRO) by broadband ferromagnetic resonance spectroscopy. From the SRO +thickness dependence of Gilbert damping, we estimate a short spin diffusion +length of $\lesssim$1 nm in SRO and an interfacial spin-mixing conductance +comparable to other ferromagnet/paramagnetic-metal bilayers. Moreover, we find +that anisotropic non-Gilbert damping due to two-magnon scattering also +increases with the addition of SRO. Our results demonstrate LSMO/SRO as a +spin-source/spin-sink system that may be a foundation for examining +spin-current transport in various perovskite heterostructures.",1610.06661v1 +2019-02-12,Ultra-low damping in lift-off structured yttrium iron garnet thin films,"We show that using maskless photolithography and the lift-off technique, +patterned yttrium iron garnet thin films possessing ultra-low Gilbert damping +can be accomplished. The films of 70 nm thickness were grown on (001)-oriented +gadolinium gallium garnet by means of pulsed laser deposition, and they exhibit +high crystalline quality, low surface roughness, and the effective +magnetization of 127 emu/cm3. The Gilbert damping parameter is as low as +5x10-4. The obtained structures have well-defined sharp edges which along with +good structural and magnetic film properties pave a path in the fabrication of +high-quality magnonic circuits and oxide-based spintronic devices.",1902.04605v1 +2019-02-20,CoFeB/MgO/CoFeB structures with orthogonal easy axes: perpendicular anisotropy and damping,"We report on the Gilbert damping parameter $\alpha$, the effective +magnetization $4\pi M_{eff}$, and the asymmetry of the $g$-factor in +bottom-CoFeB(0.93~nm)/MgO(0.90--1.25~nm)/CoFeB(1.31~nm)-top as-deposited +systems. + Magnetization of CoFeB layers exhibits a specific noncollinear configuration +with orthogonal easy axes and with $4\pi M_{eff}$ values of $+2.2$ kG and +$-2.3$ kG for the bottom and top layers, respectively. We show that $4\pi +M_{eff}$ depends on the asymmetry $g_\perp - g_\parallel$ of the $g$-factor +measured in the perpendicular and the in-plane directions revealing a highly +nonlinear relationship. In contrast, the Gilbert damping is practically the +same for both layers. Annealing of the films results in collinear easy axes +perpendicular to the plane for both layers. However, the linewidth is strongly +increased due to enhanced inhomogeneous broadening.",1902.07563v1 +2021-06-28,Stability of a Magnetically Levitated Nanomagnet in Vacuum: Effects of Gas and Magnetization Damping,"In the absence of dissipation a non-rotating magnetic nanoparticle can be +stably levitated in a static magnetic field as a consequence of the spin origin +of its magnetization. Here we study the effects of dissipation on the stability +of the system, considering the interaction with the background gas and the +intrinsic Gilbert damping of magnetization dynamics. At large applied magnetic +fields we identify magnetization switching induced by Gilbert damping as the +key limiting factor for stable levitation. At low applied magnetic fields and +for small particle dimensions magnetization switching is prevented due to the +strong coupling of rotation and magnetization dynamics, and the stability is +mainly limited by the gas-induced dissipation. In the latter case, high vacuum +should be sufficient to extend stable levitation over experimentally relevant +timescales. Our results demonstrate the possibility to experimentally observe +the phenomenon of quantum spin stabilized magnetic levitation.",2106.14858v3 +2021-10-31,Thermally induced all-optical ferromagnetic resonance in thin YIG films,"All-optical ferromagnetic resonance (AO-FMR) is a powerful tool for local +detection of micromagnetic parameters, such as magnetic anisotropy, Gilbert +damping or spin stiffness. In this work we demonstrate that the AO-FMR method +can be used in thin films of Yttrium Iron Garnet (YIG) if a metallic capping +layer (Au, Pt) is deposited on top of the film. Magnetization precession is +triggered by heating of the metallic layer with femtosecond laser pulses. The +heating modifies the magneto-crystalline anisotropy of the YIG film and shifts +the quasi-equilibrium orientation of magnetization, which results in +precessional magnetization dynamics. The laser-induced magnetization precession +corresponds to a uniform (Kittel) magnon mode, with the precession frequency +determined by the magnetic anisotropy of the material as well as the external +magnetic field, and the damping time set by a Gilbert damping parameter. The +AO-FMR method thus enables measuring local magnetic properties, with spatial +resolution given only by the laser spot size.",2111.00586v1 +2024-01-01,Calculation of Gilbert damping and magnetic moment of inertia using torque-torque correlation model within ab initio Wannier framework,"Magnetization dynamics in magnetic materials are well described by the +modified semiclassical Landau-Lifshitz-Gilbert (LLG) equation, which includes +the magnetic damping $\alpha$ and the magnetic moment of inertia $\mathrm{I}$ +tensors as key parameters. Both parameters are material-specific and physically +represent the time scales of damping of precession and nutation in +magnetization dynamics. $\alpha$ and $\mathrm{I}$ can be calculated quantum +mechanically within the framework of the torque-torque correlation model. The +quantities required for the calculation are torque matrix elements, the real +and imaginary parts of the Green's function and its derivatives. Here, we +calculate these parameters for the elemental magnets such as Fe, Co and Ni in +an ab initio framework using density functional theory and Wannier functions. +We also propose a method to calculate the torque matrix elements within the +Wannier framework. We demonstrate the effectiveness of the method by comparing +it with the experiments and the previous ab initio and empirical studies and +show its potential to improve our understanding of spin dynamics and to +facilitate the design of spintronic devices.",2401.00714v1 +1998-10-01,Finite temperature dynamics of vortices in the two dimensional anisotropic Heisenberg model,"We study the effects of finite temperature on the dynamics of non-planar +vortices in the classical, two-dimensional anisotropic Heisenberg model with +XY- or easy-plane symmetry. To this end, we analyze a generalized +Landau-Lifshitz equation including additive white noise and Gilbert damping. +Using a collective variable theory with no adjustable parameters we derive an +equation of motion for the vortices with stochastic forces which are shown to +represent white noise with an effective diffusion constant linearly dependent +on temperature. We solve these stochastic equations of motion by means of a +Green's function formalism and obtain the mean vortex trajectory and its +variance. We find a non-standard time dependence for the variance of the +components perpendicular to the driving force. We compare the analytical +results with Langevin dynamics simulations and find a good agreement up to +temperatures of the order of 25% of the Kosterlitz-Thouless transition +temperature. Finally, we discuss the reasons why our approach is not +appropriate for higher temperatures as well as the discreteness effects +observed in the numerical simulations.",9810011v1 +2010-05-25,"Structural, static and dynamic magnetic properties of CoMnGe thin films on a sapphire a-plane substrate","Magnetic properties of CoMnGe thin films of different thicknesses (13, 34, +55, 83, 100 and 200 nm), grown by RF sputtering at 400{\deg}C on single crystal +sapphire substrates, were studied using vibrating sample magnetometry (VSM) and +conventional or micro-strip line (MS) ferromagnetic resonance (FMR). Their +behavior is described assuming a magnetic energy density showing twofold and +fourfold in-plane anisotropies with some misalignment between their principal +directions. For all the samples, the easy axis of the fourfold anisotropy is +parallel to the c-axis of the substrate while the direction of the twofold +anisotropy easy axis varies from sample to sample and seems to be strongly +influenced by the growth conditions. Its direction is most probably monitored +by the slight unavoidable angle of miscut the Al2O3 substrate. The twofold +in-plane anisotropy field is almost temperature independent, in contrast with +the fourfold field which is a decreasing function of the temperature. Finally, +we study the frequency dependence of the observed line-width of the resonant +mode and we conclude to a typical Gilbert damping constant of 0.0065 for the +55-nm-thick film.",1005.4595v3 +2012-07-02,"Establishing micromagnetic parameters of ferromagnetic semiconductor (Ga,Mn)As","(Ga,Mn)As is at the forefront of research exploring the synergy of magnetism +with the physics and technology of semiconductors, and has led to discoveries +of new spin-dependent phenomena and functionalities applicable to a wide range +of material systems. Its recognition and utility as an ideal model material for +spintronics research has been undermined by the large scatter in reported +semiconducting doping trends and micromagnetic parameters. In this paper we +establish these basic material characteristics by individually optimizing the +highly non-equilibrium synthesis for each Mn-doping level and by simultaneously +determining all micromagnetic parameters from one set of magneto-optical +pump-and-probe measurements. Our (Ga,Mn)As thin-film epilayers, spannig the +wide range of accessible dopings, have sharp thermodynamic Curie point +singularities typical of uniform magnetic systems. The materials show +systematic trends of increasing magnetization, carrier density, and Curie +temperature (reaching 188 K) with increasing doping, and monotonous doping +dependence of the Gilbert damping constant of ~0.1-0.01 and the spin stiffness +of ~2-3 meVnm^2. These results render (Ga,Mn)As well controlled degenerate +semiconductor with basic magnetic characteristics comparable to common band +ferromagnets.",1207.0310v1 +2017-12-20,Second-harmonic magnetic response characterizing magnetite-based colloid,"Nonlinear second-harmonic magnetic response (M2) was used to characterize an +aqueous colloidal solution of dextran-coated magnetite (Fe3O4) nanoparticles. +Data analysis with the formalism based on Gilbert-Landau-Lifshitz equation for +stochastic dynamics of superparamagnetic (SP) particles ensured extensive +quantifying of the system via a set of magnetic and magnetodynamic parameters, +such as the mean magnetic moment, the damping constant, the longitudinal +relaxation time, the magnetic anisotropy field and energy, and others. Combined +with transmission electron microscopy and dynamic light scattering, M2 +technique allowed obtaining additional parameters, viz., the dextran-coating +thickness and the interparticle magnetic dipolar energy. Aggregated colloidal +nanoparticles were shown to be magnetically correlated inside the aggregate due +to magnetic dipole-dipole (d-d) coupling within the correlation radius ~50 nm. +With the d-d coupling account, the volume distribution of the aggregates +recovered from M2 measurements is well consistent with electron microscopy +results. From electron magnetic resonance, abrupt change of SP dynamics with +increasing external magnetic field was observed and explained. The presented +study exemplifies a novel M2-based procedure of comprehensive quantitative +characterization applicable for a wide variety of SP systems.",1712.07534v1 +2018-02-09,Monocrystalline free standing 3D yttrium iron garnet magnon nano resonators,"Nano resonators in which mechanical vibrations and spin waves can be coupled +are an intriguing concept that can be used in quantum information processing to +transfer information between different states of excitation. Until now, the +fabrication of free standing magnetic nanostructures which host long lived spin +wave excitatons and may be suitable as mechanical resonators seemed elusive. We +demonstrate the fabrication of free standing monocrystalline yttrium iron +garnet (YIG) 3D nanoresonators with nearly ideal magnetic properties. The +freestanding 3D structures are obtained using a complex lithography process +including room temperature deposition and lift-off of amorphous YIG and +subsequent crystallization by annealing. The crystallization nucleates from the +substrate and propagates across the structure even around bends over distances +of several micrometers to form e.g. monocrystalline resonators as shown by +transmission electron microscopy. Spin wave excitations in individual +nanostructures are imaged by time resolved scanning Kerr microscopy. The narrow +linewidth of the magnetic excitations indicates a Gilbert damping constant of +only $\alpha = 2.6 \times 10^{-4}$ rivalling the best values obtained for +epitaxial YIG thin film material. The new fabrication process represents a leap +forward in magnonics and magnon mechanics as it provides 3D YIG structures of +unprecedented quality. At the same time it demonstrates a completely new route +towards the fabrication of free standing crystalline nano structures which may +be applicable also to other material systems.",1802.03176v2 +2018-11-30,Dynamical precession of spin in the two-dimensional spin-orbit coupled systems,"We investigate the spin dynamics in the two-dimensional spin-orbit coupled +system subject to an in-plane ($x$-$y$ plane) constant electric field, which is +assumed to be turned on at the moment $t=0$. The equation of spin precession in +linear response to the switch-on of the electric field is derived in terms of +Heisenberg's equation by the perturbation method up to the first order of the +electric field. The dissipative effect, which is responsible for bringing the +dynamical response to an asymptotic result, is phenomenologically implemented +\`{a} la the Landau-Lifshitz-Gilbert equation by introducing damping terms upon +the equation of spin dynamics. Mediated by the dissipative effect, the +resulting spin dynamics asymptotes to a stationary state, where the spin and +the momentum-dependent effective magnetic field are aligned again and have +nonzero components in the out-of-plane ($z$) direction. In the linear response +regime, the asymptotic response obtained by the dynamical treatment is in full +agreement with the stationary response as calculated in the Kubo formula, which +is a time-independent approach treating the applied electric field as +completely time-independent. Our method provides a new perspective on the +connection between the dynamical and stationary responses.",1811.12626v2 +2019-12-16,Spin-current manipulation of photoinduced magnetization dynamics in heavy metal / ferromagnet double layer based nanostructures,"Spin currents offer a way to control static and dynamic magnetic properties, +and therefore they are crucial for next-generation MRAM devices or spin-torque +oscillators. Manipulating the dynamics is especially interesting within the +context of photo-magnonics. In typical $3d$ transition metal ferromagnets like +CoFeB, the lifetime of light-induced magnetization dynamics is restricted to +about 1 ns, which e.g. strongly limits the opportunities to exploit the wave +nature in a magnonic crystal filtering device. Here, we investigate the +potential of spin-currents to increase the spin wave lifetime in a functional +bilayer system, consisting of a heavy metal (8 nm of $\beta$-Tantalum +(Platinum)) and 5 nm CoFeB. Due to the spin Hall effect, the heavy metal layer +generates a transverse spin current when a lateral charge current passes +through the strip. Using time-resolved all-optical pump-probe spectroscopy, we +investigate how this spin current affects the magnetization dynamics in the +adjacent CoFeB layer. We observed a linear spin current manipulation of the +effective Gilbert damping parameter for the Kittel mode from which we were able +to determine the system's spin Hall angles. Furthermore, we measured a strong +influence of the spin current on a high-frequency mode. We interpret this mode +an an exchange dominated higher order spin-wave resonance. Thus we infer a +strong dependence of the exchange constant on the spin current.",1912.07728v1 +2020-06-10,Study of magnetic interface and its effect in Fe/NiFe bilayers of alternating order,"We present a comprehensive study on the magnetization reversal in Fe/NiFe +bilayer system by alternating the order of the magnetic layers. All the samples +show growth-induced uniaxial magnetic anisotropy due to oblique angle +deposition technique. Strong interfacial exchange coupling between the Fe and +NiFe layers leads to the single-phase hysteresis loops in the bilayer system. +The strength of coupling being dependent on the interface changes upon +alternating the order of magnetic layers. The magnetic parameters such as +coercivity HC, and anisotropy field HK become almost doubled when NiFe layer is +grown over the Fe layers. This enhancement in the magnetic parameters is +primarily dependent on the increase of the thickness and magnetic moment of +Fe-NiFe interfacial layer as revealed from the polarized neutron reectivity +(PNR) data of the bilayer samples. The difference in the thickness and +magnetization of the Fe-NiFe interfacial layer indicates the modification of +the microstructure by alternating the order of the magnetic layers of the +bilayers. The interfacial magnetic moment increased by almost 18 % when NiFe +layer is grown over the Fe layer. In spite of the different values of +anisotropy fields and modified interfacial exchange coupling, the Gilbert +damping constant values of the ferromagnetic bilayers remain similar to single +NiFe layer.",2006.05756v1 +2020-09-07,Spin pumping in d-wave superconductor/ferromagnet hybrids,"Spin-pumping across ferromagnet/superconductor (F/S) interfaces has attracted +much attention lately. Yet the focus has been mainly on s-wave +superconductors-based systems whereas (high-temperature) d-wave superconductors +such as YBa2Cu3O7-d (YBCO) have received scarce attention despite their +fundamental and technological interest. Here we use wideband ferromagnetic +resonance to study spin-pumping effects in bilayers that combine a soft +metallic Ni80Fe20 (Py) ferromagnet and YBCO. We evaluate the spin conductance +in YBCO by analyzing the magnetization dynamics in Py. We find that the Gilbert +damping exhibits a drastic drop as the heterostructures are cooled across the +normal-superconducting transition and then, depending on the S/F interface +morphology, either stays constant or shows a strong upturn. This unique +behavior is explained considering quasiparticle density of states at the YBCO +surface, and is a direct consequence of zero-gap nodes for particular +directions in the momentum space. Besides showing the fingerprint of d-wave +superconductivity in spin-pumping, our results demonstrate the potential of +high-temperature superconductors for fine tuning of the magnetization dynamics +in ferromagnets using k-space degrees of freedom of d-wave/F interfaces.",2009.03196v3 +2020-09-22,Magnon-mediated spin currents in Tm3Fe5O12/Pt with perpendicular magnetic anisotropy,"The control of pure spin currents carried by magnons in magnetic insulator +(MI) garnet films with a robust perpendicular magnetic anisotropy (PMA) is of +great interest to spintronic technology as they can be used to carry, transport +and process information. Garnet films with PMA present labyrinth domain +magnetic structures that enrich the magnetization dynamics, and could be +employed in more efficient wave-based logic and memory computing devices. In +MI/NM bilayers, where NM being a normal metal providing a strong spin-orbit +coupling, the PMA benefits the spin-orbit torque (SOT) driven magnetization's +switching by lowering the needed current and rendering the process faster, +crucial for developing magnetic random-access memories (SOT-MRAM). In this +work, we investigated the magnetic anisotropies in thulium iron garnet (TIG) +films with PMA via ferromagnetic resonance measurements, followed by the +excitation and detection of magnon-mediated pure spin currents in TIG/Pt driven +by microwaves and heat currents. TIG films presented a Gilbert damping constant +{\alpha}~0.01, with resonance fields above 3.5 kOe and half linewidths broader +than 60 Oe, at 300 K and 9.5 GHz. The spin-to-charge current conversion through +TIG/Pt was observed as a micro-voltage generated at the edges of the Pt film. +The obtained spin Seebeck coefficient was 0.54 {\mu}V/K, confirming also the +high interfacial spin transparency.",2009.10299v1 +2023-04-19,Thickness-dependent magnetic properties in Pt[CoNi]n multilayers with perpendicular magnetic anisotropy,"We systematically investigated the Ni and Co thickness-dependent +perpendicular magnetic anisotropy (PMA) coefficient, magnetic domain +structures, and magnetization dynamics of Pt(5 nm)/[Co(t_Co nm)/Ni(t_Ni +nm)]5/Pt(1 nm) multilayers by combining the four standard magnetic +characterization techniques. The magnetic-related hysteresis loops obtained +from the field-dependent magnetization M and anomalous Hall resistivity (AHR) +\r{ho}_xy found that the two serial multilayers with t_Co = 0.2 and 0.3 nm have +the optimum PMA coefficient K_U well as the highest coercivity H_C at the Ni +thickness t_Ni = 0.6 nm. Additionally, the magnetic domain structures obtained +by Magneto-optic Kerr effect (MOKE) microscopy also significantly depend on the +thickness and K_U of the films. Furthermore, the thickness-dependent linewidth +of ferromagnetic resonance is inversely proportional to K_U and H_C, indicating +that inhomogeneous magnetic properties dominate the linewidth. However, the +intrinsic Gilbert damping constant determined by a linear fitting of +frequency-dependent linewidth does not depend on Ni thickness and K_U. Our +results could help promote the PMA [Co/Ni] multilayer applications in various +spintronic and spin-orbitronic devices.",2304.09366v1 +2023-09-18,Coherent Tunneling and Strain Sensitivity of an All Heusler Alloy Magnetic Tunneling Junction: A First-Principles Study,"Half-metallic Co-based full Heusler alloys have captured considerable +attention of the researchers in the realm of spintronic applications, owing to +their remarkable characteristics such as exceptionally high spin polarization +at Fermi level, ultra-low Gilbert damping, and high Curie temperature. In this +comprehensive study, employing density functional theory, we delve into the +stability and electron transport properties of a magnetic tunneling junction +(MTJ) comprising a Co$_2$MnSb/HfIrSb interface. Utilizing a standard model +given by Julliere, we estimate the tunnel magnetoresistance (TMR) ratio of this +heterojunction under external electric field, revealing a significantly high +TMR ratio (500%) that remains almost unaltered for electric field magnitudes up +to 0.5 V/A. In-depth investigation of K-dependent majority spin transmissions +uncovers the occurrence of coherent tunneling for the Mn-Mn/Ir interface, +particularly when a spacer layer beyond a certain thickness is employed. +Additionally, we explore the impact of bi-axial strain on the MTJ by varying +the in-plane lattice constants between -4% and +4%. Our spin-dependent +transmission calculations demonstrate that the Mn-Mn/Ir interface manifests +strain-sensitive transmission properties under both compressive and tensile +strain, and yields a remarkable three-fold increase in majority spin +transmission under tensile strain conditions. These compelling outcomes place +the Co2MnSb/HfIrSb junction among the highly promising candidates for nanoscale +spintronic devices, emphasizing the potential significance of the system in the +advancement of the field.",2309.09755v1 +2023-11-14,Berry curvature induced giant intrinsic spin-orbit torque in single layer magnetic Weyl semimetal thin films,"Topological quantum materials can exhibit unconventional surface states and +anomalous transport properties, but their applications to spintronic devices +are restricted as they require the growth of high-quality thin films with +bulk-like properties. Here, we study 10--30 nm thick epitaxial ferromagnetic +Co$_{\rm 2}$MnGa films with high structural order. Very high values of the +anomalous Hall conductivity, $\sigma_{\rm xy}=1.35\times10^{5}$ $\Omega^{-1} +m^{-1}$, and the anomalous Hall angle, $\theta_{\rm H}=15.8\%$, both comparable +to bulk values. We observe a dramatic crystalline orientation dependence of the +Gilbert damping constant of a factor of two and a giant intrinsic spin Hall +conductivity, $\mathit{\sigma_{\rm SHC}}=(6.08\pm 0.02)\times 10^{5}$ +($\hbar/2e$) $\Omega^{-1} m^{-1}$, which is an order of magnitude higher than +literature values of single-layer Ni$_{\rm 80}$Fe$_{\rm 20}$, Ni, Co, Fe, and +multilayer Co$_{\rm 2}$MnGa stacks. Theoretical calculations of the intrinsic +spin Hall conductivity, originating from a strong Berry curvature, corroborate +the results and yield values comparable to the experiment. Our results open up +for the design of spintronic devices based on single layers of topological +quantum materials.",2311.08145v2 +2023-12-26,All solution grown epitaxial magnonic crystal of thulium iron garnet thin film,"Magnonics has shown the immense potential of compatibility with CMOS devices +and the ability to be utilized in futuristic quantum computing. Therefore, the +magnonic crystals, both metallic and insulating, are under extensive +exploration. The presence of high spin-orbit interaction induced by the +presence of rare-earth elements in thulium iron garnet (TmIG) increases its +potential in magnonic applications. Previously, TmIG thin films were grown +using ultra-high vacuum-based techniques. Here, we present a cost-effective +solution-based approach that enables the excellent quality interface and +surface roughness of the epitaxial TmIG/GGG. The deposited TmIG (12.2 nm) thin +film's physical and spin dynamic properties are investigated in detail. The +confirmation of the epitaxy using X-ray diffraction in $\phi$-scan geometry +along with the X-ray reflectivity and atomic force for the thickness and +roughness analysis and topography, respectively. The epitaxial TmIG/GGG have +confirmed the perpendicular magnetic anisotropy utilizing the +polar-magneto-optic Kerr effect. Analyzing the ferromagnetic resonance study of +TmIG/GGG thin films provides the anisotropy constant K$_U$ = 20.6$\times$10$^3$ +$\pm$ 0.2$\times$10$^3$ N/m$^2$ and the Gilbert damping parameter $\alpha$ = +0.0216 $\pm$ 0.0028. The experimental findings suggest that the +solution-processed TmIG/GGG thin films have the potential to be utilized in +device applications.",2312.15973v1 +2017-12-20,Unifying ultrafast demagnetization and intrinsic Gilbert damping in Co/Ni bilayers with electronic relaxation near the Fermi surface,"The ability to controllably manipulate the laser-induced ultrafast magnetic +dynamics is a prerequisite for future high speed spintronic devices. The +optimization of devices requires the controllability of the ultrafast +demagnetization time, , and intrinsic Gilbert damping, . In previous attempts +to establish the relationship between and , the rare-earth doping of a +permalloy film with two different demagnetization mechanism is not a suitable +candidate. Here, we choose Co/Ni bilayers to investigate the relations between +and by means of time-resolved magneto-optical Kerr effect (TRMOKE) via +adjusting the thickness of the Ni layers, and obtain an approximately +proportional relation between these two parameters. The remarkable agreement +between TRMOKE experiment and the prediction of breathing Fermi-surface model +confirms that a large Elliott-Yafet spin-mixing parameter is relevant to the +strong spin-orbital coupling at the Co/Ni interface. More importantly, a +proportional relation between and in such metallic films or heterostructures +with electronic relaxation near Fermi surface suggests the local spin-flip +scattering domains the mechanism of ultrafast demagnetization, otherwise the +spin-current mechanism domains. It is an effective method to distinguish the +dominant contributions to ultrafast magnetic quenching in metallic +heterostructures by investigating both the ultrafast demagnetization time and +Gilbert damping simultaneously. Our work can open a novel avenue to manipulate +the magnitude and efficiency of Terahertz emission in metallic heterostructures +such as the perpendicular magnetic anisotropic Ta/Pt/Co/Ni/Pt/Ta multilayers, +and then it has an immediate implication of the design of high frequency +spintronic devices.",1712.07323v1 +2008-05-22,Intrinsic and non-local Gilbert damping in polycrystalline nickel studied by Ti:Sapphire laser fs spectroscopy,"The use of femtosecond laser pulses generated by a Ti:Sapphire laser system +allows us to gain an insight into the magnetization dynamics on time scales +from sub-picosecond up to 1 ns directly in the time domain. This experimental +technique is used to excite a polycrystalline nickel (Ni) film optically and +probe the dynamics afterwards. Different spin wave modes (the Kittel mode, +perpendicular standing spin-wave modes (PSSW) and dipolar spin-wave modes +(Damon-Eshbach modes)) are identified as the Ni thickness is increased. The +Kittel mode allows determination of the Gilbert damping parameter alpha +extracted from the magnetization relaxation time tau_alpha. The non-local +damping by spin currents emitted into a non-magnetic metallic layer of vanadium +(V), palladium (Pd) and the rare earth dysprosium (Dy) are studied for +wedge-shaped Ni films 1 nm-30 nm. The damping parameter increases from +alpha=0.045 intrinsic for nickel to alpha>0.10 for the heavy materials, such as +Pd and Dy, for the thinnest Ni films below 10 nm thickness. Also, for the +thinnest reference Ni film thickness, an increased magnetic damping below 4 nm +is observed. The origin of this increase is discussed within the framework of +line broadening by locally different precessional frequencies within the laser +spot region.",0805.3495v1 +2015-06-18,The absence of intraband scattering in a consistent theory of Gilbert damping in metallic ferromagnets,"Damping of magnetization dynamics in a ferromagnetic metal is usually +characterized by the Gilbert parameter alpha. Recent calculations of this +quantity, using a formula due to Kambersky, find that it is infinite for a +perfect crystal owing to an intraband scattering term which is of third order +in the spin-orbit parameter xi This surprising result conflicts with recent +work by Costa and Muniz who study damping numerically by direct calculation of +the dynamical transverse spin susceptibility in the presence of spin-orbit +coupling. We resolve this inconsistency by following the Costa-Muniz approach +for a slightly simplified model where it is possible to calculate alpha +analytically. We show that to second order in the spin-orbit parameter xi one +retrieves the Kambersky result for alpha, but to higher order one does not +obtain any divergent intraband terms. The present work goes beyond that of +Costa and Muniz by pointing out the necessity of including the effect of +long-range Coulomb interaction in calculating damping for large xi. A direct +derivation of the Kambersky formula is given which shows clearly the +restriction of its validity to second order in xi so that no intraband +scattering terms appear. This restriction has an important effect on the +damping over a substantial range of impurity content and temperature. The +experimental situation is discussed.",1506.05622v2 +2020-02-07,"Engineering Co$_2$MnAl$_x$Si$_{1-x}$ Heusler compounds as a model system to correlate spin polarization, intrinsic Gilbert damping and ultrafast demagnetization","Engineering of magnetic materials for developing better spintronic +applications relies on the control of two key parameters: the spin polarization +and the Gilbert damping responsible for the spin angular momentum dissipation. +Both of them are expected to affect the ultrafast magnetization dynamics +occurring on the femtosecond time scale. Here, we use engineered Co2MnAlxSi1-x +Heusler compounds to adjust the degree of spin polarization P from 60 to 100% +and investigate how it correlates with the damping. We demonstrate +experimentally that the damping decreases when increasing the spin polarization +from 1.1 10-3 for Co2MnAl with 63% spin polarization to an ultra-low value of +4.10-4 for the half-metal magnet Co2MnSi. This allows us investigating the +relation between these two parameters and the ultrafast demagnetization time +characterizing the loss of magnetization occurring after femtosecond laser +pulse excitation. The demagnetization time is observed to be inversely +proportional to 1-P and as a consequence to the magnetic damping, which can be +attributed to the similarity of the spin angular momentum dissipation processes +responsible for these two effects. Altogether, our high quality Heusler +compounds allow controlling the band structure and therefore the channel for +spin angular momentum dissipation.",2002.02686v1 +2006-08-22,Simulation of stress-impedance effects in low magnetostrictive films,"A theoretical study of stress-impedance effect based on the solution of +Landau-Lifsitz-Gilbert equation has been carried out. The results show that +stress impedance effects depend largely on several extrinsic (external bias +field, external frequency) and intrinsic (orientation and magnitude of uniaxial +anisotropy, damping) parameters.",0608488v1 +2017-03-09,Material developments and domain wall based nanosecond-scale switching process in perpendicularly magnetized STT-MRAM cells,"We investigate the Gilbert damping and the magnetization switching of +perpendicularly magnetized FeCoB-based free layers embedded in tunnel junctions +adequate for spin-torque operated memories. We study the influence of the boron +content in MgO / FeCoB /Ta systems alloys on their Gilbert damping after +crystallization annealing. Increasing the boron content from 20 to 30\% +increases the crystallization temperature, thereby postponing the onset of +elemental diffusion within the free layer. This reduction of the interdiffusion +of the Ta atoms helps maintaining the Gilbert damping at a low level of 0.009 +without any penalty on the anisotropy and the magneto-transport properties up +to the 400$^\circ$C annealing required in CMOS back-end of line processing. In +addition, we show that dual MgO free layers of composition +MgO/FeCoB/Ta/FeCoB/MgO have a substantially lower damping than their +MgO/FeCoB/Ta counterparts, reaching damping parameters as low as 0.0039 for a 3 +\r{A} thick Tantalum spacer. This confirms that the dominant channel of damping +is the presence of Ta impurities within the FeCoB alloy. On optimized tunnel +junctions, we then study the duration of the switching events induced by +spin-transfer-torque. We focus on the sub-threshold thermally activated +switching in optimal applied field conditions. From the electrical signatures +of the switching, we infer that once the nucleation has occurred, the reversal +proceeds by a domain wall sweeping though the device at a few 10 m/s. The +smaller the device, the faster its switching. We present an analytical model to +account for our findings. The domain wall velocity is predicted to scale +linearly with the current for devices much larger than the wall width. The wall +velocity depends on the Bloch domain wall width, such that the devices with the +lowest exchange stiffness will be the ones that host the domain walls with the +slowest mobilities.",1703.03198v3 +2010-03-24,Dynamical shift condition for unequal mass black hole binaries,"Certain numerical frameworks used for the evolution of binary black holes +make use of a gamma driver, which includes a damping factor. Such simulations +typically use a constant value for damping. However, it has been found that +very specific values of the damping factor are needed for the calculation of +unequal mass binaries. We examine carefully the role this damping plays, and +provide two explicit, non-constant forms for the damping to be used with +mass-ratios further from one. Our analysis of the resultant waveforms compares +well against the constant damping case.",1003.4681v1 +2023-09-19,Impact of strain on the SOT-driven dynamics of thin film Mn$_3$Sn,"Mn$_3$Sn, a metallic antiferromagnet with an anti-chiral 120$^\circ$ spin +structure, generates intriguing magneto-transport signatures such as a large +anomalous Hall effect, spin-polarized current with novel symmetries, anomalous +Nernst effect, and magneto-optic Kerr effect. When grown epitaxially as +MgO(110)[001]$\parallel$ Mn$_3$Sn($0\bar{1}\bar{1}0$)[0001], Mn$_3$Sn +experiences a uniaxial tensile strain, which changes the bulk six-fold +anisotropy landscape to a perpendicular magnetic anisotropy with two stable +states. In this work, we investigate the field-assisted spin orbit-torque +(SOT)-driven response of the order parameter in single-domain Mn$_3$Sn with +uniaxial tensile strain. We find that for a non-zero external magnetic field, +the order parameter can be switched between the two stable states if the +magnitude of the input current is between two field-dependent critical +currents. Below the lower critical current, the order parameter exhibits a +stationary state in the vicinity of the initial stable state. On the other +hand, above the higher critical current, the order parameter shows oscillatory +dynamics which could be tuned from the 100's of megahertz to the gigahertz +range. We obtain approximate expressions of the two critical currents and find +them to agree very well with the numerical simulations for experimentally +relevant magnetic fields. We also obtain unified functional form of the +switching time versus the input current for different magnetic fields. Finally, +we show that for lower values of Gilbert damping ($\alpha \leq 2\times +10^{-3}$), the critical currents and the final steady states depend +significantly on the damping constant. The numerical and analytic results +presented in our work can be used by both theorists and experimentalists to +understand the SOT-driven order dynamics in PMA Mn$_3$Sn and design future +experiments and devices.",2309.10246v2 +2002-07-30,Microscopic relaxation mechanisms and linear magnetization dynamics,"Linear magnetization dynamics in the presense of a thermal bath is analyzed +for two general classes of microscopic damping mechanisms. The resulting +stochastic differential equations are always in the form of a damped harmonic +oscillator driven by a thermal field. The damping term contains both the +interaction mechanisms and the symmetry of the magnetic system. Back +transformation from the oscillator coordinates to the magnetization variables +results in a macroscopic tensor form of damping that reflects the system +anisotropy. Scalar Landau-Lifshitz-Gilbert damping term is valid only for +systems with axial symmetry. Analysis of FMR linewith measurements versus +frequency, temperature, and film thickness in NiFe films shows good agreement +with a combination of slow-relaxing impurity and magnon-electron confluence +processes.",0207721v1 +2006-10-10,Spin-transfer in an open ferromagnetic layer: from negative damping to effective temperature,"Spin-transfer is a typical spintronics effect that allows a ferromagnetic +layer to be switched by spin-injection. Most of the experimental results about +spin transfer are described on the basis of the Landau-Lifshitz-Gilbert +equation of the magnetization, in which additional current-dependent damping +factors are added, and can be positive or negative. The origin of the damping +can be investigated further by performing stochastic experiments, like one shot +relaxation experiments under spin-injection in the activation regime of the +magnetization. In this regime, the N\'eel-Brown activation law is observed +which leads to the introduction of a current-dependent effective temperature. +In order to justify the introduction of these counterintuitive parameters +(effective temperature and negative damping), a detailed thermokinetic analysis +of the different sub-systems involved is performed. We propose a thermokinetic +description of the different forms of energy exchanged between the electric and +the ferromagnetic sub-systems at a Normal/Ferromagnetic junction. The +corresponding Fokker Planck equations, including relaxations, are derived. The +damping coefficients are studied in terms of Onsager-Casimir transport +coefficients, with the help of the reciprocity relations. The effective +temperature is deduced in the activation regime.",0610264v1 +2014-05-09,Magnetization dynamics and damping due to electron-phonon scattering in a ferrimagnetic exchange model,"We present a microscopic calculation of magnetization damping for a magnetic +""toy model."" The magnetic system consists of itinerant carriers coupled +antiferromagnetically to a dispersionless band of localized spins, and the +magnetization damping is due to coupling of the itinerant carriers to a phonon +bath in the presence of spin-orbit coupling. Using a mean-field approximation +for the kinetic exchange model and assuming the spin-orbit coupling to be of +the Rashba form, we derive Boltzmann scattering integrals for the distributions +and spin coherences in the case of an antiferromagnetic exchange splitting, +including a careful analysis of the connection between lifetime broadening and +the magnetic gap. For the Elliott-Yafet type itinerant spin dynamics we extract +dephasing and magnetization times T_1 and T_2 from initial conditions +corresponding to a tilt of the magnetization vector, and draw a comparison to +phenomenological equations such as the Landau-Lifshitz or the Gilbert damping. +We also analyze magnetization precession and damping for this system including +an anisotropy field and find a carrier mediated dephasing of the localized spin +via the mean-field coupling.",1405.2347v1 +2022-10-16,Magnetic damping anisotropy in the two-dimensional van der Waals material Fe$_3$GeTe$_2$ from first principles,"Magnetization relaxation in the two-dimensional itinerant ferromagnetic van +der Waals material Fe$_3$GeTe$_2$, below the Curie temperature, is +fundamentally important for applications to low-dimensional spintronics +devices. We use first-principles scattering theory to calculate the +temperature-dependent Gilbert damping for bulk and single-layer Fe$_3$GeTe$_2$. +The calculated damping frequency of bulk Fe$_3$GeTe$_2$ increases monotonically +with temperature because of the dominance of resistivitylike behavior. By +contrast, a very weak temperature dependence is found for the damping frequency +of a single layer, which is attributed to strong surface scattering in this +highly confined geometry. A systematic study of the damping anisotropy reveals +that orientational anisotropy is present in both bulk and single-layer +Fe3GeTe2. Rotational anisotropy is significant at low temperatures for both the +bulk and a single layer and is gradually diminished by temperature-induced +disorder. The rotational anisotropy can be significantly enhanced by up to 430% +in gated single-layer Fe$_3$GeTe$_2$.",2210.08429v1 +2016-09-26,Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics,"Starting from the Dirac-Kohn-Sham equation we derive the relativistic +equation of motion of spin angular momentum in a magnetic solid under an +external electromagnetic field. This equation of motion can be written in the +form of the well-known Landau-Lifshitz-Gilbert equation for a harmonic external +magnetic field, and leads to a more general magnetization dynamics equation for +a general time-dependent magnetic field. In both cases with an electronic +spin-relaxation term which stems from the spin-orbit interaction. We thus +rigorously derive, from fundamental principles, a general expression for the +anisotropic damping tensor which is shown to contain an isotropic Gilbert +contribution as well as an anisotropic Ising-like and a chiral, +Dzyaloshinskii-Moriya-like contribution. The expression for the spin relaxation +tensor comprises furthermore both electronic interband and intraband +transitions. We also show that when the externally applied electromagnetic +field possesses spin angular momentum, this will lead to an optical spin torque +exerted on the spin moment.",1609.07901v1 +2002-11-22,Nonlinear microscopic relaxation of uniform magnetization precession,"Dynamic relaxation for nonlinear magnetization excitation is analyzed. For +direct processes, such as magnon-electron scattering and two-magnon scattering, +the relaxation rate is determined from the linear case simply by utilizing the +magnetization oscillation frequency for nonlinear excitation. For an indirect +process, such as slow-relaxing impurities, the analysis gives an additional +relaxation term proportional to the excitation level. In all cases the +effective magnetization damping is increased compared to +Landau-Lifshitz-Gilbert damping.",0211499v1 +2005-10-11,Non-damping magnetization oscillations in a single-domain ferromagnet,"Non-damped oscillations of the magnetization vector of a ferromagnetic system +subject to a spin polarized current and an external magnetic field are studied +theoretically by solving the Landau-Lifshitz-Gilbert equation. It is shown that +the frequency and amplitude of such oscillations can be controlled by means of +an applied magnetic field and a spin current. The possibility of injection of +the oscillating spin current into a non-magnetic system is also discussed.",0510280v1 +2007-03-27,Gauge Field Formulation of Adiabatic Spin Torques,"Previous calculation of spin torques for small-amplitude magnetization +dynamics around a uniformly magnetized state [J. Phys. Soc. Jpn. {\bf 75} +(2006) 113706] is extended here to the case of finite-amplitude dynamics. This +is achieved by introducing an `` adiabatic'' spin frame for conduction +electrons, and the associated SU(2) gauge field. In particular, the Gilbert +damping is shown to arise from the time variation of the spin-relaxation source +terms in this new frame, giving a new physical picture of the damping. The +present method will allow a `` first-principle'' derivation of spin torques +without any assumptions such as rotational symmetry in spin space.",0703705v1 +2008-05-09,"Spin dynamics in (III,Mn)V ferromagnetic semiconductors: the role of correlations","We address the role of correlations between spin and charge degrees of +freedom on the dynamical properties of ferromagnetic systems governed by the +magnetic exchange interaction between itinerant and localized spins. For this +we introduce a general theory that treats quantum fluctuations beyond the +Random Phase Approximation based on a correlation expansion of the Green's +function equations of motion. We calculate the spin susceptibility, spin--wave +excitation spectrum, and magnetization precession damping. We find that +correlations strongly affect the magnitude and carrier concentration dependence +of the spin stiffness and magnetization Gilbert damping.",0805.1320v2 +2010-01-16,Resonance Damping in Ferromagnets and Ferroelectrics,"The phenomenological equations of motion for the relaxation of ordered phases +of magnetized and polarized crystal phases can be developed in close analogy +with one another. For the case of magnetized systems, the driving magnetic +field intensity toward relaxation was developed by Gilbert. For the case of +polarized systems, the driving electric field intensity toward relaxation was +developed by Khalatnikov. The transport times for relaxation into thermal +equilibrium can be attributed to viscous sound wave damping via +magnetostriction for the magnetic case and electrostriction for the +polarization case.",1001.2845v1 +2016-05-15,Propagation of Thermally Induced Magnonic Spin Currents,"The propagation of magnons in temperature gradients is investigated within +the framework of an atomistic spin model with the stochastic +Landau-Lifshitz-Gilbert equation as underlying equation of motion. We analyze +the magnon accumulation, the magnon temperature profile as well as the +propagation length of the excited magnons. The frequency distribution of the +generated magnons is investigated in order to derive an expression for the +influence of the anisotropy and the damping parameter on the magnon propagation +length. For soft ferromagnetic insulators with low damping a propagation length +in the range of some $\mu$m can be expected for exchange driven magnons.",1605.04543v1 +2021-03-05,Universal spin wave damping in magnetic Weyl semimetals,"We analyze the decay of spin waves into Stoner excitations in magnetic Weyl +semimetals. The lifetime of a mode is found to have a universal dependence on +its frequency and momentum, and on a few parameters that characterize the +relativistic Weyl spectrum. At the same time, Gilbert damping by Weyl electrons +is absent. The decay rate of spin waves is calculated perturbatively using the +s-d model of itinerant Weyl or Dirac electrons coupled to local moments. We +show that many details of the Weyl spectrum, such as the momentum-space +locations, dispersions and sizes of the Weyl Fermi pockets, can be deduced +indirectly by probing the spin waves of local moments using inelastic neutron +scattering.",2103.03885v1 +2023-02-17,Control of magnon-photon coupling by spin torque,"We demonstrate the influence of damping and field-like torques in the +magnon-photon coupling process by classically integrating the generalized +Landau-Lifshitz-Gilbert equation with RLC equation in which a phase correlation +between dynamic magnetization and microwave current through combined Amp\`ere +and Faraday effects are considered. We show that the gap between two hybridized +modes can be controlled in samples with damping parameter in the order of +$10^{-3}$ by changing the direction of the dc current density $J$ if a certain +threshold is reached. Our results suggest that an experimental realization of +the proposed magnon-photon coupling control mechanism is feasible in yttrium +iron garnet/Pt hybrid structures.",2302.08910v1 +2013-05-21,Characterization and Synthesis of Rayleigh Damped Elastodynamic Networks,"We consider damped elastodynamic networks where the damping matrix is assumed +to be a non-negative linear combination of the stiffness and mass matrices +(also known as Rayleigh or proportional damping). We give here a +characterization of the frequency response of such networks. We also answer the +synthesis question for such networks, i.e., how to construct a Rayleigh damped +elastodynamic network with a given frequency response. Our analysis shows that +not all damped elastodynamic networks can be realized when the proportionality +constants between the damping matrix and the mass and stiffness matrices are +fixed.",1305.4961v1 +2017-03-21,Using rf voltage induced ferromagnetic resonance to study the spin-wave density of states and the Gilbert damping in perpendicularly magnetized disks,"We study how the shape of the spinwave resonance lines in rf-voltage induced +FMR can be used to extract the spinwave density of states and the damping +within the precessing layer in nanoscale tunnel junctions that possess +perpendicular anisotropy. We work with a field applied along the easy axis to +preserve the uniaxial symmetry of the system. We describe the set-up to study +the susceptibility contributions of the spin waves in the field-frequency +space. We then identify the maximum device size above which the spinwaves can +no longer be studied in isolation as the linewidths of their responses make +them overlap. The rf-voltage induced signal is the sum of two voltages that +have comparable magnitudes: a first voltage that originates from the transverse +susceptibility and rectification by magnetoresistance and a second voltage that +arises from the non-linear longitudinal susceptibility and the resultant +time-averaged change of the micromagnetic configuration. The transverse and +longitudinal susceptibility signals have different dc bias dependences such +that they can be separated by measuring how the device rectifies the rf voltage +at different dc bias voltages. The transverse and longitudinal susceptibility +signals have different lineshapes; their joint studies can yield the Gilbert +damping of the free layer of the device with a degree of confidence that +compares well with standard FMR. Our method is illustrated on FeCoB-based free +layers in which the individual spin-waves can be sufficiently resolved only for +disk diameters below 200 nm. The resonance line shapes on devices with 90 nm +diameters are consistent with a Gilbert damping of 0.011. This damping of 0.011 +exceeds the value of 0.008 measured on the unpatterned films, which indicates +that device-level measurements are needed for a correct evaluation of +dissipation.",1703.07310v2 +2002-08-06,Spin pumping and magnetization dynamics in metallic multilayers,"We study the magnetization dynamics in thin ferromagnetic films and small +ferromagnetic particles in contact with paramagnetic conductors. A moving +magnetization vector causes \textquotedblleft pumping\textquotedblright of +spins into adjacent nonmagnetic layers. This spin transfer affects the +magnetization dynamics similar to the Landau-Lifshitz-Gilbert phenomenology. +The additional Gilbert damping is significant for small ferromagnets, when the +nonmagnetic layers efficiently relax the injected spins, but the effect is +reduced when a spin accumulation build-up in the normal metal opposes the spin +pumping. The damping enhancement is governed by (and, in turn, can be used to +measure) the mixing conductance or spin-torque parameter of the +ferromagnet--normal-metal interface. Our theoretical findings are confirmed by +agreement with recent experiments in a variety of multilayer systems.",0208091v2 +2003-08-19,"Magnetization relaxation in (Ga,Mn)As ferromagnetic semiconductors","We describe a theory of Mn local-moment magnetization relaxation due to p-d +kinetic-exchange coupling with the itinerant-spin subsystem in the +ferromagnetic semiconductor (Ga,Mn)As alloy. The theoretical Gilbert damping +coefficient implied by this mechanism is calculated as a function of Mn moment +density, hole concentration, and quasiparticle lifetime. Comparison with +experimental ferromagnetic resonance data suggests that in annealed strongly +metallic samples, p-d coupling contributes significantly to the damping rate of +the magnetization precession at low temperatures. By combining the theoretical +Gilbert coefficient with the values of the magnetic anisotropy energy, we +estimate that the typical critical current for spin-transfer magnetization +switching in all-semiconductor trilayer devices can be as low as $\sim 10^{5} +{\rm A cm}^{-2}$.",0308386v3 +2005-12-29,Current-induced magnetization dynamics in disordered itinerant ferromagnets,"Current-driven magnetization dynamics in ferromagnetic metals are studied in +a self-consistent adiabatic local-density approximation in the presence of +spin-conserving and spin-dephasing impurity scattering. Based on a quantum +kinetic equation, we derive Gilbert damping and spin-transfer torques entering +the Landau-Lifshitz equation to linear order in frequency and wave vector. +Gilbert damping and a current-driven dissipative torque scale identically and +compete, with the result that a steady current-driven domain-wall motion is +insensitive to spin dephasing in the limit of weak ferromagnetism. A uniform +magnetization is found to be much more stable against spin torques in the +itinerant than in the \textit{s}-\textit{d} model for ferromagnetism. A dynamic +spin-transfer torque reminiscent of the spin pumping in multilayers is +identified and shown to govern the current-induced domain-wall distortion.",0512715v4 +2007-08-03,Strong spin-orbit induced Gilbert damping and g-shift in iron-platinum nanoparticles,"The shape of ferromagnetic resonance spectra of highly dispersed, chemically +disordered Fe_{0.2}Pt_{0.8} nanospheres is perfectly described by the solution +of the Landau-Lifshitz-Gilbert (LLG) equation excluding effects by crystalline +anisotropy and superparamagnetic fluctuations. Upon decreasing temperature, the +LLG damping $\alpha(T)$ and a negative g-shift, g(T)-g_0, increase proportional +to the particle magnetic moments determined from the Langevin analysis of the +magnetization isotherms. These novel features are explained by the scattering +of the $q \to 0$ magnon from an electron-hole (e/h) pair mediated by the +spin-orbit coupling, while the sd-exchange can be ruled out. The large +saturation values, $\alpha(0)=0.76$ and $g(0)/g_0-1=-0.37$, indicate the +dominance of an overdamped 1 meV e/h-pair which seems to originate from the +discrete levels of the itinerant electrons in the d_p=3 nm nanoparticles.",0708.0463v1 +2008-05-01,Chaotic Spin Dynamics of a Long Nanomagnet Driven by a Current,"We study the spin dynamics of a long nanomagnet driven by an electrical +current. In the case of only DC current, the spin dynamics has a sophisticated +bifurcation diagram of attractors. One type of attractors is a weak chaos. On +the other hand, in the case of only AC current, the spin dynamics has a rather +simple bifurcation diagram of attractors. That is, for small Gilbert damping, +when the AC current is below a critical value, the attractor is a limit cycle; +above the critical value, the attractor is chaotic (turbulent). For normal +Gilbert damping, the attractor is always a limit cycle in the physically +interesting range of the AC current. We also developed a Melnikov integral +theory for a theoretical prediction on the occurrence of chaos. Our Melnikov +prediction seems performing quite well in the DC case. In the AC case, our +Melnikov prediction seems predicting transient chaos. The sustained chaotic +attractor seems to have extra support from parametric resonance leading to a +turbulent state.",0805.0147v1 +2010-10-08,"A unified first-principles study of Gilbert damping, spin-flip diffusion and resistivity in transition metal alloys","Using a formulation of first-principles scattering theory that includes +disorder and spin-orbit coupling on an equal footing, we calculate the +resistivity $\rho$, spin flip diffusion length $l_{sf}$ and the Gilbert damping +parameter $\alpha$ for Ni$_{1-x}$Fe$_x$ substitutional alloys as a function of +$x$. For the technologically important Ni$_{80}$Fe$_{20}$ alloy, permalloy, we +calculate values of $\rho = 3.5 \pm 0.15$ $\mu$Ohm-cm, $l_{sf}=5.5 \pm 0.3$ nm, +and $\alpha= 0.0046 \pm 0.0001$ compared to experimental low-temperature values +in the range $4.2-4.8$ $\mu$Ohm-cm for $\rho$, $5.0-6.0$ nm for $l_{sf}$, and +$0.004-0.013$ for $\alpha$ indicating that the theoretical formalism captures +the most important contributions to these parameters.",1010.1626v3 +2011-02-22,Ab-initio calculation of the Gilbert damping parameter via linear response formalism,"A Kubo-Greenwood-like equation for the Gilbert damping parameter $\alpha$ is +presented that is based on the linear response formalism. Its implementation +using the fully relativistic Korringa-Kohn-Rostoker (KKR) band structure method +in combination with Coherent Potential Approximation (CPA) alloy theory allows +it to be applied to a wide range of situations. This is demonstrated with +results obtained for the bcc alloy system Fe$_x$Co$_{1-x}$ as well as for a +series of alloys of permalloy with 5d transition metals. + To account for the thermal displacements of atoms as a scattering mechanism, +an alloy-analogy model is introduced. The corresponding calculations for Ni +correctly describe the rapid change of $\alpha$ when small amounts of +substitutional Cu are introduced.",1102.4551v1 +2012-07-28,Ultrafast optical control of magnetization in EuO thin films,"All-optical pump-probe detection of magnetization precession has been +performed for ferromagnetic EuO thin films at 10 K. We demonstrate that the +circularly-polarized light can be used to control the magnetization precession +on an ultrafast time scale. This takes place within the 100 fs duration of a +single laser pulse, through combined contribution from two nonthermal +photomagnetic effects, i.e., enhancement of the magnetization and an inverse +Faraday effect. From the magnetic field dependences of the frequency and the +Gilbert damping parameter, the intrinsic Gilbert damping coefficient is +evaluated to be {\alpha} \approx 3\times10^-3.",1207.6686v1 +2012-08-07,Observation of Coherent Helimagnons and Gilbert damping in an Itinerant Magnet,"We study the magnetic excitations of itinerant helimagnets by applying +time-resolved optical spectroscopy to Fe0.8Co0.2Si. Optically excited +oscillations of the magnetization in the helical state are found to disperse to +lower frequency as the applied magnetic field is increased; the fingerprint of +collective modes unique to helimagnets, known as helimagnons. The use of +time-resolved spectroscopy allows us to address the fundamental magnetic +relaxation processes by directly measuring the Gilbert damping, revealing the +versatility of spin dynamics in chiral magnets. (*These authors contributed +equally to this work)",1208.1462v1 +2013-01-10,First-principles calculation of the Gilbert damping parameter via the linear response formalism with application to magnetic transition-metals and alloys,"A method for the calculations of the Gilbert damping parameter $\alpha$ is +presented, which based on the linear response formalism, has been implemented +within the fully relativistic Korringa-Kohn-Rostoker band structure method in +combination with the coherent potential approximation alloy theory. To account +for thermal displacements of atoms as a scattering mechanism, an alloy-analogy +model is introduced. This allows the determination of $\alpha$ for various +types of materials, such as elemental magnetic systems and ordered magnetic +compounds at finite temperature, as well as for disordered magnetic alloys at +$T = 0$ K and above. The effects of spin-orbit coupling, chemical and +temperature induced structural disorder are analyzed. Calculations have been +performed for the 3$d$ transition-metals bcc Fe, hcp Co, and fcc Ni, their +binary alloys bcc Fe$_{1-x}$Co$_{x}$, fcc Ni$_{1-x}$Fe$_x$, fcc +Ni$_{1-x}$Co$_x$ and bcc Fe$_{1-x}$V$_{x}$, and for 5d impurities in +transition-metal alloys. All results are in satisfying agreement with +experiment.",1301.2114v1 +2013-08-01,Inverse Spin Hall Effect in nanometer-thick YIG/Pt system,"High quality nanometer-thick (20 nm, 7 nm and 4 nm) epitaxial YIG films have +been grown on GGG substrates using pulsed laser deposition. The Gilbert damping +coefficient for the 20 nm thick films is 2.3 x 10-4 which is the lowest value +reported for sub-micrometric thick films. We demonstrate Inverse spin Hall +effect (ISHE) detection of propagating spin waves using Pt. The amplitude and +the lineshape of the ISHE voltage correlate well to the increase of the Gilbert +damping when decreasing thickness of YIG. Spin Hall effect based +loss-compensation experiments have been conducted but no change in the +magnetization dynamics could be detected.",1308.0192v1 +2014-12-11,Deviation From the Landau-Lifshitz-Gilbert equation in the Inertial regime of the Magnetization,"We investigate in details the inertial dynamics of a uniform magnetization in +the ferromagnetic resonance (FMR) context. Analytical predictions and numerical +simulations of the complete equations within the Inertial +Landau-Lifshitz-Gilbert (ILLG) model are presented. In addition to the usual +precession resonance, the inertial model gives a second resonance peak +associated to the nutation dynamics provided that the damping is not too large. +The analytical resolution of the equations of motion yields both the precession +and nutation angular frequencies. They are function of the inertial dynamics +characteristic time $\tau$, the dimensionless damping $\alpha$ and the static +magnetic field $H$. A scaling function with respect to $\alpha\tau\gamma H$ is +found for the nutation angular frequency, also valid for the precession angular +frequency when $\alpha\tau\gamma H\gg 1$. Beyond the direct measurement of the +nutation resonance peak, we show that the inertial dynamics of the +magnetization has measurable effects on both the width and the angular +frequency of the precession resonance peak when varying the applied static +field. These predictions could be used to experimentally identify the inertial +dynamics of the magnetization proposed in the ILLG model.",1412.3783v1 +2015-01-02,"Inertia, diffusion and dynamics of a driven skyrmion","Skyrmions recently discovered in chiral magnets are a promising candidate for +magnetic storage devices because of their topological stability, small size +($\sim 3-100$nm), and ultra-low threshold current density ($\sim +10^{6}$A/m$^2$) to drive their motion. However, the time-dependent dynamics has +hitherto been largely unexplored. Here we show, by combining the numerical +solution of the Landau-Lifshitz-Gilbert equation and the analysis of a +generalized Thiele's equation, that inertial effects are almost completely +absent in skyrmion dynamics driven by a time-dependent current. In contrast, +the response to time-dependent magnetic forces and thermal fluctuations depends +strongly on frequency and is described by a large effective mass and a (anti-) +damping depending on the acceleration of the skyrmion. Thermal diffusion is +strongly suppressed by the cyclotron motion and is proportional to the Gilbert +damping coefficient $\alpha$. This indicates that the skyrmion position is +stable, and its motion responds to the time-dependent current without delay or +retardation even if it is fast. These findings demonstrate the advantages of +skyrmions as information carriers.",1501.00444v1 +2015-08-04,A Critical Analysis of the Feasibility of Pure Strain-Actuated Giant Magnetostrictive Nanoscale Memories,"Concepts for memories based on the manipulation of giant magnetostrictive +nanomagnets by stress pulses have garnered recent attention due to their +potential for ultra-low energy operation in the high storage density limit. +Here we discuss the feasibility of making such memories in light of the fact +that the Gilbert damping of such materials is typically quite high. We report +the results of numerical simulations for several classes of toggle precessional +and non-toggle dissipative magnetoelastic switching modes. Material candidates +for each of the several classes are analyzed and forms for the anisotropy +energy density and ranges of material parameters appropriate for each material +class are employed. Our study indicates that the Gilbert damping as well as the +anisotropy and demagnetization energies are all crucial for determining the +feasibility of magnetoelastic toggle-mode precessional switching schemes. The +roles of thermal stability and thermal fluctuations for stress-pulse switching +of giant magnetostrictive nanomagnets are also discussed in detail and are +shown to be important in the viability, design, and footprint of +magnetostrictive switching schemes.",1508.00629v2 +2017-01-11,The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions,"We prove a global well-posedness result for the Landau-Lifshitz equation with +Gilbert damping provided that the BMO semi-norm of the initial data is small. +As a consequence, we deduce the existence of self-similar solutions in any +dimension. In the one-dimensional case, we characterize the self-similar +solutions associated with an initial data given by some ($\mathbb{S}^2$-valued) +step function and establish their stability. We also show the existence of +multiple solutions if the damping is strong enough. Our arguments rely on the +study of a dissipative quasilinear Schr\""odinger obtained via the stereographic +projection and techniques introduced by Koch and Tataru.",1701.03083v2 +2017-01-27,Structural scale $q-$derivative and the LLG-Equation in a scenario with fractionality,"In the present contribution, we study the Landau-Lifshitz-Gilbert equation +with two versions of structural derivatives recently proposed: the scale +$q-$derivative in the non-extensive statistical mechanics and the axiomatic +metric derivative, which presents Mittag-Leffler functions as eigenfunctions. +The use of structural derivatives aims to take into account long-range forces, +possible non-manifest or hidden interactions and the dimensionality of space. +Having this purpose in mind, we build up an evolution operator and a deformed +version of the LLG equation. Damping in the oscillations naturally show up +without an explicit Gilbert damping term.",1701.08076v2 +2012-11-02,Dynamic Spin Injection into Chemical Vapor Deposited Graphene,"We demonstrate dynamic spin injection into chemical vapor deposition (CVD) +grown graphene by spin pumping from permalloy (Py) layers. Ferromagnetic +resonance measurements at room temperature reveal a strong enhancement of the +Gilbert damping at the Py/graphene interface, exceeding that observed in even +Py/platinum interfaces. Similar results are also shown on Co/graphene layers. +This enhancement in the Gilbert damping is understood as the consequence of +spin pumping at the interface driven by magnetization dynamics. Our +observations suggest a strong enhancement of spin-orbit coupling in CVD +graphene, in agreement with earlier spin valve measurements.",1211.0492v1 +2015-12-16,Parity-time symmetry breaking in magnetic systems,"The understanding of out-of-equilibrium physics, especially dynamic +instabilities and dynamic phase transitions, is one of the major challenges of +contemporary science, spanning the broadest wealth of research areas that range +from quantum optics to living organisms. Focusing on nonequilibrium dynamics of +an open dissipative spin system, we introduce a non-Hermitian Hamiltonian +approach, in which non-Hermiticity reflects dissipation and deviation from +equilibrium. The imaginary part of the proposed spin Hamiltonian describes the +effects of Gilbert damping and applied Slonczewski spin-transfer torque. In the +classical limit, our approach reproduces Landau-Lifshitz-Gilbert-Slonczewski +dynamics of a large macrospin. We reveal the spin-transfer torque-driven +parity-time symmetry-breaking phase transition corresponding to a transition +from precessional to exponentially damped spin dynamics. Micromagnetic +simulations for nanoscale ferromagnetic disks demonstrate the predicted effect. +Our findings can pave the way to a general quantitative description of +out-of-equilibrium phase transitions driven by spontaneous parity-time symmetry +breaking.",1512.05408v2 +2014-01-24,Wavenumber-dependent Gilbert damping in metallic ferromagnets,"New terms to the dynamical equation of magnetization motion, associated with +spin transport, have been reported over the past several years. Each newly +identified term is thought to possess both a real and an imaginary effective +field leading to fieldlike and dampinglike torques on magnetization. Here we +show that three metallic ferromagnets possess an imaginary effective-field term +which mirrors the well-known real effective-field term associated with exchange +in spin waves. Using perpendicular standing spin wave resonance between 2-26 +GHz, we evaluate the magnitude of the finite-wavenumber ($k$) dependent Gilbert +damping $\alpha$ in three typical device ferromagnets, Ni$_{79}$Fe$_{21}$, Co, +and Co$_{40}$Fe$_{40}$B$_{20}$, and demonstrate for the first time the presence +of a $k^2$ term as $\Delta\alpha=\Delta\alpha_0+A_{k}\cdot k^2$ in all three +metals. We interpret the new term as the continuum analog of spin pumping, +predicted recently, and show that its magnitude, $A_{k}$=0.07-0.1 nm$^2$, is +consistent with transverse spin relaxation lengths as measured by conventional +(interlayer) spin pumping.",1401.6467v2 +2019-03-07,Current-induced motion of twisted skyrmions,"Twisted skyrmions, whose helicity angles are different from that of Bloch +skyrmions and N\'eel skyrmions, have already been demonstrated in experiments +recently. In this work, we first contrast the magnetic structure and origin of +the twisted skyrmion with other three types of skyrmion including Bloch +skyrmion, N\'eel skyrmion and antiskyrmion. Following, we investigate the +dynamics of twisted skyrmions driven by the spin transfer toque (STT) and the +spin Hall effect (SHE) by using micromagnetic simulations. It is found that the +spin Hall angle of the twisted skyrmion is related to the dissipative force +tensor and the Gilbert damping both for the motions induced by the STT and the +SHE, especially for the SHE induced motion, the skyrmion Hall angle depends +substantially on the skyrmion helicity. At last, we demonstrate that the +trajectory of the twisted skyrmion can be controlled in a two dimensional plane +with a Gilbert damping gradient. Our results provide the understanding of +current-induced motion of twisted skyrmions, which may contribute to the +applications of skyrmion-based racetrack memories.",1903.02812v1 +2019-07-03,Anisotropy of spin-transfer torques and Gilbert damping induced by Rashba coupling,"Spin-transfer torques (STT), Gilbert damping (GD), and effective spin +renormalization (ESR) are investigated microscopically in a 2D Rashba +ferromagnet with spin-independent Gaussian white-noise disorder. Rashba +spin-orbit coupling induced anisotropy of these phenomena is thoroughly +analysed. For the case of two partly filled spin subbands, a remarkable +relation between the anisotropic STT, GD, and ESR is established. In the +absence of magnetic field and other torques on magnetization, this relation +corresponds to a current-induced motion of a magnetic texture with the +classical drift velocity of conduction electrons. Finally, we compute spin +susceptibility of the system and generalize the notion of spin-polarized +current.",1907.02041v3 +2021-11-05,Giant oscillatory Gilbert damping in superconductor/ferromagnet/superconductor junctions,"Interfaces between materials with differently ordered phases present unique +opportunities for exotic physical properties, especially the interplay between +ferromagnetism and superconductivity in the ferromagnet/superconductor +heterostructures. The investigation of zero- and pi-junctions has been of +particular interest for both fundamental physical science and emerging +technologies. Here, we report the experimental observation of giant oscillatory +Gilbert damping in the superconducting Nb/NiFe/Nb junctions with respect to the +NiFe thickness. This observation suggests an unconventional spin pumping and +relaxation via zero-energy Andreev bound states that exist only in the +Nb/NiFe/Nb pi-junctions, but not in the Nb/NiFe/Nb zero-junctions. Our findings +could be important for further exploring the exotic physical properties of +ferromagnet/superconductor heterostructures, and potential applications of +ferromagnet pi-junctions in quantum computing, such as half-quantum flux +qubits.",2111.03233v1 +2022-11-14,Magnetization Dynamics in Synthetic Antiferromagnets with Perpendicular Magnetic Anisotropy,"Understanding the rich physics of magnetization dynamics in perpendicular +synthetic antiferromagnets (p-SAFs) is crucial for developing next-generation +spintronic devices. In this work, we systematically investigate the +magnetization dynamics in p-SAFs combining time-resolved magneto-optical Kerr +effect (TR-MOKE) measurements with theoretical modeling. These model analyses, +based on a Landau-Lifshitz-Gilbert approach incorporating exchange coupling, +provide details about the magnetization dynamic characteristics including the +amplitudes, directions, and phases of the precession of p-SAFs under varying +magnetic fields. These model-predicted characteristics are in excellent +quantitative agreement with TR-MOKE measurements on an asymmetric p-SAF. We +further reveal the damping mechanisms of two procession modes co-existing in +the p-SAF and successfully identify individual contributions from different +sources, including Gilbert damping of each ferromagnetic layer, spin pumping, +and inhomogeneous broadening. Such a comprehensive understanding of +magnetization dynamics in p-SAFs, obtained by integrating high-fidelity TR-MOKE +measurements and theoretical modeling, can guide the design of p-SAF-based +architectures for spintronic applications.",2211.07744v2 +2023-05-23,Current-driven motion of magnetic topological defects in ferromagnetic superconductors,"Recent years have seen a number of instances where magnetism and +superconductivity intrinsically coexist. Our focus is on the case where +spin-triplet superconductivity arises out of ferromagnetism, and we make a +hydrodynamic analysis of the effect of a charge supercurrent on magnetic +topological defects like domain walls and merons. We find that the emergent +electromagnetic field that arises out of the superconducting order parameter +provides a description for not only the physical quantities such as the local +energy flux density and the interaction between current and defects but also +the energy dissipation through magnetic dynamics of the Gilbert damping, which +becomes more prominent compared to the normal state as superconductivity +attenuates the energy dissipation through the charge sector. In particular, we +reveal that the current-induced dynamics of domain walls and merons in the +presence of the Gilbert damping give rise to the nonsingular $4\pi$ and $2\pi$ +phase slips, respectively, revealing the intertwined dynamics of spin and +charge degrees of freedom in ferromagnetic superconductors.",2305.13564v1 +2023-07-03,Magnetic lump motion in saturated ferromagnetic films,"In this paper, we study in detail the nonlinear propagation of magnetic +soliton in a ferromagnetic film. The sample is magnetized to saturation by an +external field perpendicular to film plane. A new generalized (2+1)-dimensional +short-wave asymptotic model is derived. The bilinear-like forms of this +equation are constructed, and exact magnetic line soliton solutions are +exhibited. It is observed that a series of stable lumps can be generated by an +unstable magnetic soliton under Gaussian disturbance. Such magnetic lumps are +highly stable and can maintain their shapes and velocities during evolution or +collision. The interaction between lump and magnetic soliton, as well as +interaction between two lumps, are numerically investigated. We further discuss +the nonlinear motion of lumps in ferrites with Gilbert-damping and +inhomogeneous exchange effects. The results show that the Gilbert-damping +effects make the amplitude and velocity of the magnetic lump decay +exponentially during propagation. And the shock waves are generated from a lump +when quenching the strength of inhomogeneous exchange.",2307.00903v1 +2014-03-16,Interpolating local constants in families,"We extend the theory of local constants to l-adic families of representations +of GL_n(F) where F is a p-adic field with l not equal to p. We construct zeta +integrals and gamma factors for representations coming from the conjectural +""local Langlands correspondence in families"" of Emerton-Helm, proving a +rationality result and functional equation. We also construct a universal gamma +factor with coefficients in the integral Bernstein center.",1403.3914v2 +2016-06-01,Existence of arbitrarily smooth solutions of the LLG equation in 3D with natural boundary conditions,"We prove that the Landau-Lifshitz-Gilbert equation in three space dimensions +with homogeneous Neumann boundary conditions admits arbitrarily smooth +solutions, given that the initial data is sufficiently close to a constant +function.",1606.00086v1 +2003-02-17,Magnetization dynamics with a spin-transfer torque,"The magnetization reversal and dynamics of a spin valve pillar, whose lateral +size is 64$\times$64 nm$^2$, are studied by using micromagnetic simulation in +the presence of spin transfer torque. Spin torques display both characteristics +of magnetic damping (or anti-damping) and of an effective magnetic field. For a +steady-state current, both M-I and M-H hysteresis loops show unique features, +including multiple jumps, unusual plateaus and precessional states. These +states originate from the competition between the energy dissipation due to +Gilbert damping and the energy accumulation due to the spin torque supplied by +the spin current. The magnetic energy oscillates as a function of time even for +a steady-state current. For a pulsed current, the minimum width and amplitude +of the spin torque for achieving current-driven magnetization reversal are +quantitatively determined. The spin torque also shows very interesting thermal +activation that is fundamentally different from an ordinary damping effect.",0302337v1 +2013-10-29,Observational Study of Large Amplitude Longitudinal Oscillations in a Solar Filament,"On 20 August 2010 an energetic disturbance triggered damped large-amplitude +longitudinal (LAL) oscillations in almost an entire filament. In the present +work we analyze this periodic motion in the filament to characterize the +damping and restoring mechanism of the oscillation. Our method involves placing +slits along the axis of the filament at different angles with respect to the +spine of the filament, finding the angle at which the oscillation is clearest, +and fitting the resulting oscillation pattern to decaying sinusoidal and Bessel +functions. These functions represent the equations of motion of a pendulum +damped by mass accretion. With this method we determine the period and the +decaying time of the oscillation. Our preliminary results support the theory +presented by Luna and Karpen (2012) that the restoring force of LAL +oscillations is solar gravity in the tubes where the threads oscillate, and the +damping mechanism is the ongoing accumulation of mass onto the oscillating +threads. Following an earlier paper, we have determined the magnitude and +radius of curvature of the dipped magnetic flux tubes hosting a thread along +the filament, as well as the mass accretion rate of the filament threads, via +the fitted parameters.",1310.7657v1 +2014-12-08,Magnetization Dynamics driven by Non-equilibrium Spin-Orbit Coupled Electron Gas,"The dynamics of magnetization coupled to an electron gas via s-d exchange +interaction is investigated by using density matrix technique. Our theory shows +that non-equilibrium spin accumulation induces a spin torque and the electron +bath leads to a damping of the magnetization. For the two-dimensional +magnetization thin film coupled to the electron gas with Rashba spin-orbit +coupling, the result for the spin-orbit torques is consistent with the previous +semi-classical theory. Our theory predicts a damping of the magnetization, +which is absent in the semi-classical theory. The magnitude of the damping due +to the electron bath is comparable to the intrinsic Gilbert damping and may be +important in describing the magnetization dynamics of the system.",1412.2479v1 +2016-04-11,All-Optical Study of Tunable Ultrafast Spin Dynamics in [Co/Pd]-NiFe Systems: The Role of Spin-Twist Structure on Gilbert Damping,"We investigate optically induced ultrafast magnetization dynamics in [Co(0.5 +nm)/Pd(1 nm)]x5/NiFe(t) exchange-spring samples with tilted perpendicular +magnetic anisotropy using a time-resolved magneto-optical Kerr effect +magnetometer. The competition between the out-of-plane anisotropy of the hard +layer, the in-plane anisotropy of the soft layer and the applied bias field +reorganizes the spins in the soft layer, which are modified further with the +variation in t. The spin-wave spectrum, the ultrafast demagnetization time, and +the extracted damping coefficient all depend on the spin distribution in the +soft layer, while the latter two also depend on the spin-orbit coupling between +the Co and Pd layers. The spin-wave spectra change from multimode to +single-mode as t increases. At the maximum field reached in this study, H=2.5 +kOe, the damping shows a nonmonotonic dependence on t with a minimum at t=7.5 +nm. For t<7.5 nm, intrinsic effects dominate, whereas for t>7.5 nm, extrinsic +effects govern the damping mechanisms.",1604.02998v1 +2017-05-09,Low spin wave damping in the insulating chiral magnet Cu$_{2}$OSeO$_{3}$,"Chiral magnets with topologically nontrivial spin order such as Skyrmions +have generated enormous interest in both fundamental and applied sciences. We +report broadband microwave spectroscopy performed on the insulating chiral +ferrimagnet Cu$_{2}$OSeO$_{3}$. For the damping of magnetization dynamics we +find a remarkably small Gilbert damping parameter of about $1\times10^{-4}$ at +5 K. This value is only a factor of 4 larger than the one reported for the best +insulating ferrimagnet yttrium iron garnet. We detect a series of sharp +resonances and attribute them to confined spin waves in the mm-sized samples. +Considering the small damping, insulating chiral magnets turn out to be +promising candidates when exploring non-collinear spin structures for high +frequency applications.",1705.03416v1 +2017-03-06,Damping dependence of spin-torque effects in thermally assisted magnetization reversal,"Thermal fluctuations of nanomagnets driven by spin-polarized currents are +treated via the Landau-Lifshitz-Gilbert equation as generalized to include both +the random thermal noise field and Slonczewski spin-transfer torque terms. The +magnetization reversal time of such a nanomagnet is then evaluated for wide +ranges of damping by using a method which generalizes the solution of the +so-called Kramers turnover problem for mechanical Brownian particles, thereby +bridging the very low damping and intermediate damping Kramers escape rates, to +the analogous magnetic turnover problem. The reversal time is then evaluated +for a nanomagnet with the free energy density given in the standard form of +superimposed easy-plane and in-plane easy-axis anisotropies with the dc bias +field along the easy axis.",1703.01879v5 +2018-09-04,Separation of the two-magnon scattering contribution to damping for the determination of the spin mixing conductance,"We present angle dependent measurements of the damping properties of +epitaxial Fe layers with MgO, Al and Pt capping layers. Based on the +preferential distribution of lattice defects following the crystal symmetry, we +make use of a model of the defect density to separate the contribution of +two-magnon scattering to the damping from the isotropic contribution +originating in the spin pumping effect, the viscous Gilbert damping and the +magnetic proximity effect. The separation of the two-magnon contribution, which +depends strongly on the defect density, allows for the measurement of a value +of the effective spin mixing conductance which is closer to the value +exclusively due to spin pumping. The influence of the defect density for +bilayers systems due to the different capping layers and to the unavoidable +spread in defect density from sample to sample is thus removed. This shows the +potential of studying spin pumping phenomena in fully ordered systems in which +this separation is possible, contrary to polycrystalline or amorphous metallic +thin films.",1809.01042v1 +2009-05-20,"Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation","We determine the general form of the asymptotics for Dirichlet eigenvalues of +the one-dimensional linear damped wave operator. As a consequence, we obtain +that given a spectrum corresponding to a constant damping term this determines +the damping term in a unique fashion. We also derive a trace formula for this +problem.",0905.3242v1 +2002-06-27,Initial-amplitude dependence in weakly damped oscillators,"A pedagogically instructive experimental procedure is suggested for +distinguishing between different damping terms in a weakly damped oscillator, +which highclights the connection between non-linear damping and +initial-amplitude dependence. The most common damping terms such as contact +friction, air resistance, viscous drag, and electromagnetic damping have +velocity dependences of the form constant, v, or v^2. The corresponding energy +dependences of the form \sqrt{E}, E, or E\sqrt{E} in the energy loss equation +give rise to characteristic dependence of the amplitude decay slope on the +initial amplitude.",0206086v1 +2006-02-09,Magnetization damping in polycrystalline Co ultra-thin films: Evidence for non-local effects,"The magnetic properties and magnetization dynamics of polycrystalline +ultra-thin Co layers were investigated using a broadband ferromagnetic +resonance (FMR) technique at room temperature. A variable thickness (1 nm $\leq +t \leq$ 10 nm) Co layer is sandwiched between 10 nm thick Cu layers (10 nm Cu| +t Co|10 nm Cu), while materials in contact with the Cu outer interfaces are +varied to determine their influence on the magnetization damping. The resonance +field and the linewidth were studied for in-plane magnetic fields in field +swept experiments at a fixed frequency, from 4 to 25 GHz. The Co layers have a +lower magnetization density than the bulk, and an interface contribution to the +magnetic anisotropy normal to the film plane. The Gilbert damping, as +determined from the frequency dependence of the linewidth, increases with +decreasing Co layer thickness for films with outer Pt layers. This enhancement +is not observed in structures without Pt layers. The result can be understood +in terms of a non-local contribution to the damping due to spin pumping from Co +through the Cu layer and spin relaxation in Pt layers. Pt layers just 1.5 nm +thick are found to be sufficient to enhance the damping and thus act as +efficient ""spin-sinks"". In structures with Pt outer layers, this non-local +contribution to the damping becomes predominant when the Co layer is thinner +than 4 nm.",0602243v2 +2020-04-09,Magnetic Damping in Epitaxial Fe Alloyed with Vanadium and Aluminum,"To develop low-moment, low-damping metallic ferromagnets for power-efficient +spintronic devices, it is crucial to understand how magnetic relaxation is +impacted by the addition of nonmagnetic elements. Here, we compare magnetic +relaxation in epitaxial Fe films alloyed with light nonmagnetic elements of V +and Al. FeV alloys exhibit lower intrinsic damping compared to pure Fe, reduced +by nearly a factor of 2, whereas damping in FeAl alloys increases with Al +content. Our experimental and computational results indicate that reducing the +density of states at the Fermi level, rather than the average atomic number, +has a more significant impact in lowering damping in Fe alloyed with light +elements. Moreover, FeV is confirmed to exhibit an intrinsic Gilbert damping +parameter of $\simeq$0.001, among the lowest ever reported for ferromagnetic +metals.",2004.04840v3 +2016-05-22,Low Gilbert damping in Co2FeSi and Fe2CoSi films,"Thin highly textured Fe$_{\mathrm{1+x}}$Co$_{\mathrm{2-x}}$Si ($0 \leq$ x +$\leq 1$) films were prepared on MgO (001) substrates by magnetron +co-sputtering. The magneto-optic Kerr effect (MOKE) and ferromagnetic resonance +(FMR) measurements were used to investigate the composition dependence of the +magnetization, the magnetic anisotropy, the gyromagnetic ratio and the +relaxation of the films. The effective magnetization for the thin +Fe$_{\mathrm{1+x}}$Co$_{\mathrm{2-x}}$Si films, determined by FMR measurements, +are consistent with the Slater Pauling prediction. Both MOKE and FMR +measurements reveal a pronounced fourfold anisotropy distribution for all +films. In addition we found a strong influence of the stoichiometry on the +anisotropy as the cubic anisotropy strongly increases with increasing Fe +concentration. The gyromagnetic ratio is only weakly dependent on the +composition. We find low Gilbert damping parameters for all films with values +down to $0.0012\pm0.00012$ for Fe$_{1.75}$Co$_{1.25}$Si. The effective damping +parameter for Co$_2$FeSi is found to be $0.0018\pm 0.0004$. We also find a +pronounced anisotropic relaxation, which indicates significant contributions of +two-magnon scattering processes that is strongest along the easy axes of the +films. This makes thin Fe$_{\mathrm{1+x}}$Co$_{\mathrm{2-x}}$Si films ideal +materials for the application in STT-MRAM devices.",1605.06797v1 +2022-02-06,Enhancing Perpendicular Magnetic Anisotropy in Garnet Ferrimagnet by Interfacing with Few-Layer WTe2,"Engineering magnetic anisotropy in a ferro- or ferrimagnetic (FM) thin film +is crucial in spintronic device. One way to modify the magnetic anisotropy is +through the surface of the FM thin film. Here, we report the emergence of a +perpendicular magnetic anisotropy (PMA) induced by interfacial interactions in +a heterostructure comprised of a garnet ferrimagnet, Y3Fe5O12 (YIG), and the +low-symmetry, high spin orbit coupling (SOC) transition metal dichalcogenide, +WTe2. At the same time, we also observed an enhancement in Gilbert damping in +the WTe2 covered YIG area. Both the magnitude of interface-induced PMA and the +Gilbert damping enhancement have no observable WTe2 thickness dependence down +to single quadruple-layer, indicating that the interfacial interaction plays a +critical role. The ability of WTe2 to enhance the PMA in FM thin film, combined +with its previously reported capability to generate out-of-plane damping like +spin torque, makes it desirable for magnetic memory applications.",2202.02834v1 +2007-03-12,Quantum estimation of a damping constant,"We discuss an interferometric approach to the estimation of quantum +mechanical damping. We study specific classes of entangled and separable probe +states consisting of superpositions of coherent states. Based on the assumption +of limited quantum resources we show that entanglement improves the estimation +of an unknown damping constant.",0703091v2 +2006-01-19,Drift of particles in self-similar systems and its Liouvillian interpretation,"We study the dynamics of classical particles in different classes of +spatially extended self-similar systems, consisting of (i) a self-similar +Lorentz billiard channel, (ii) a self-similar graph, and (iii) a master +equation. In all three systems the particles typically drift at constant +velocity and spread ballistically. These transport properties are analyzed in +terms of the spectral properties of the operator evolving the probability +densities. For systems (i) and (ii), we explain the drift from the properties +of the Pollicott-Ruelle resonance spectrum and corresponding eigenvectors",0601042v1 +2010-04-30,Limit theory for planar Gilbert tessellations,"A Gilbert tessellation arises by letting linear segments (cracks) in the +plane unfold in time with constant speed, starting from a homogeneous Poisson +point process of germs in randomly chosen directions. Whenever a growing edge +hits an already existing one, it stops growing in this direction. The resulting +process tessellates the plane. The purpose of the present paper is to establish +law of large numbers, variance asymptotics and a central limit theorem for +geometric functionals of such tessellations. The main tool applied is the +stabilization theory for geometric functionals.",1005.0023v1 +2017-06-15,Absence of correlations in the energy exchanges of an exactly solvable model of heat transport with many degrees of freedom,"A process based on the exactly solvable Kipnis--Marchioro--Presutti model of +heat conduction [J. Stat. Phys. 27 65 (1982)] is described whereby lattice +cells share their energies among many identical degrees of freedom while, in +each cell, only two of them are associated with energy exchanges connecting +neighbouring cells. It is shown that, up to dimensional constants, the heat +conductivity is half the interaction rate, regardless of the degrees of +freedom. Moreover, as this number becomes large, correlations between the +energy variables involved in the exchanges vanish. In this regime, the process +thus boils down to the time-evolution of the local temperatures which is +prescribed by the discrete heat equation.",1706.04849v1 +2015-05-29,Microscopic Theory for Coupled Atomistic Magnetization and Lattice Dynamics,"A coupled atomistic spin and lattice dynamics approach is developed which +merges the dynamics of these two degrees of freedom into a single set of +coupled equations of motion. The underlying microscopic model comprises local +exchange interactions between the electron spin and magnetic moment and the +local couplings between the electronic charge and lattice displacements. An +effective action for the spin and lattice variables is constructed in which the +interactions among the spin and lattice components are determined by the +underlying electronic structure. In this way, expressions are obtained for the +electronically mediated couplings between the spin and lattice degrees of +freedom, besides the well known inter-atomic force constants and spin-spin +interactions. These former susceptibilities provide an atomistic ab initio +description for the coupled spin and lattice dynamics. It is important to +notice that this theory is strictly bilinear in the spin and lattice variables +and provides a minimal model for the coupled dynamics of these subsystems and +that the two subsystems are treated on the same footing. Questions concerning +time-reversal and inversion symmetry are rigorously addressed and it is shown +how these aspects are absorbed in the tensor structure of the interaction +fields. By means of these results regarding the spin-lattice coupling, simple +explanations of ionic dimerization in double anti-ferromagnetic materials, as +well as, charge density waves induced by a non-uniform spin structure are +given. In the final parts, a set of coupled equations of motion for the +combined spin and lattice dynamics are constructed, which subsequently can be +reduced to a form which is analogous to the Landau-Lifshitz-Gilbert equations +for spin dynamics and damped driven mechanical oscillator for the ...",1505.08005v3 +2022-11-03,Skyrmion Jellyfish in Driven Chiral Magnets,"Chiral magnets can host topological particles known as skyrmions, which carry +an exactly quantised topological charge $Q=-1$. In the presence of an +oscillating magnetic field ${\bf B}_1(t)$, a single skyrmion embedded in a +ferromagnetic background will start to move with constant velocity ${\bf +v}_{\text{trans}}$. The mechanism behind this motion is similar to the one used +by a jellyfish when it swims through water. We show that the skyrmion's motion +is a universal phenomenon, arising in any magnetic system with translational +modes. By projecting the equation of motion onto the skyrmion's translational +modes and going to quadratic order in ${\bf B}_1(t)$, we obtain an analytical +expression for ${\bf v}_{\text{trans}}$ as a function of the system's linear +response. The linear response and consequently ${\bf v}_{\text{trans}}$ are +influenced by the skyrmion's internal modes and scattering states, as well as +by the ferromagnetic background's Kittel mode. The direction and speed of ${\bf +v}_{\text{trans}}$ can be controlled by changing the polarisation, frequency +and phase of the driving field ${\bf B}_1(t)$. For systems with small Gilbert +damping parameter $\alpha$, we identify two distinct physical mechanisms used +by the skyrmion to move. At low driving frequencies, the skyrmion's motion is +driven by friction, and $v_{\text{trans}}\sim\alpha$, whereas at higher +frequencies above the ferromagnetic gap, the skyrmion moves by magnon emission, +and $v_{\text{trans}}$ becomes independent of $\alpha$.",2211.01714v5 +2023-04-05,Threshold current of field-free perpendicular magnetization switching using anomalous spin-orbit torque,"Spin-orbit torque (SOT) is a candidate technique in next generation magnetic +random-access memory (MRAM). Recently, experiments show that some material with +low-symmetric crystalline or magnetic structures can generate anomalous SOT +that has an out-of-plane component, which is crucial in switching perpendicular +magnetization of adjacent ferromagnetic (FM) layer in the field-free condition. +In this work, we analytically derive the threshold current of field-free +perpendicular magnetization switching using the anomalous SOT. And we +numerically calculate the track of the magnetic moment in a FM free layer when +an applied current is smaller and greater than the threshold current. After +that, we study the applied current dependence of the switching time and the +switching energy consumption, which shows the minimum energy consumption +decreases as out-of-plane torque proportion increases. Then we study the +dependences of the threshold current on anisotropy strength, out-of-plane +torque proportion, FM free layer thickness and Gilbert damping constant, and +the threshold current shows negative correlation with the out-of-plane torque +proportion and positive correlation with the other three parameters. Finally, +we demonstrate that when the applied current is smaller than the threshold +current, although it cannot switch the magnetization of FM free layer, it can +still equivalently add an effective exchange bias field H_{bias} on the FM free +layer. The H_{bias} is proportional to the applied current J_{SOT}, which +facilitates the determination of the anomalous SOT efficiency. This work helps +us to design new spintronic devices that favor field-free switching +perpendicular magnetization using the anomalous SOT, and provides a way to +adjust the exchange bias field, which is helpful in controlling FM layer +magnetization depinning.",2304.02248v2 +2018-10-25,Time-retarded damping and magnetic inertia in the Landau-Lifshitz-Gilbert equation self-consistently coupled to electronic time-dependent nonequilibrium Green functions,"The conventional Landau-Lifshitz-Gilbert (LLG) equation is a widely used tool +to describe dynamics of local magnetic moments, viewed as classical vectors of +fixed length, with their change assumed to take place simultaneously with the +cause. Here we demonstrate that recently developed [M. D. Petrovi\'{c} {\em et +al.}, {\tt arXiv:1802.05682}] self-consistent coupling of the LLG equation to +time-dependent quantum-mechanical description of electrons microscopically +generates time-retarded damping in the LLG equation described by a memory +kernel which is also spatially dependent. For sufficiently slow dynamics of +local magnetic moments, the memory kernel can be expanded to extract the +Gilbert damping (proportional to first time derivative of magnetization) and +magnetic inertia (proportional to second time derivative of magnetization) +terms whose parameters, however, are time-dependent in contrast to +time-independent parameters used in the conventional LLG equation. We use +examples of single or multiple magnetic moments precessing in an external +magnetic field, as well as field-driven motion of a magnetic domain wall (DW), +to quantify the difference in their time evolution computed from conventional +LLG equation vs. TDNEGF+LLG quantum-classical hybrid approach. The faster DW +motion predicted by TDNEGF+LLG approach reveals that important quantum effects, +stemming from finite amount of time which it takes for conduction electron spin +to react to the motion of classical local magnetic moments, are missing from +conventional classical micromagnetics simulations. We also demonstrate large +discrepancy between TDNEGF+LLG-computed numerically exact and, therefore, +nonperturbative result for charge current pumped by a moving DW and the same +quantity computed by perturbative spin motive force formula combined with the +conventional LLG equation.",1810.11016v2 +2019-08-08,Annihilation of topological solitons in magnetism with spin wave burst finale: The role of nonequilibrium electrons causing nonlocal damping and spin pumping over ultrabroadband frequency range,"We not only reproduce burst of short-wavelength spin waves (SWs) observed in +recent experiment [S. Woo et al., Nat. Phys. 13, 448 (2017)] on +magnetic-field-driven annihilation of two magnetic domain walls (DWs) but, +furthermore, we predict that this setup additionally generates highly unusual} +pumping of electronic spin currents in the absence of any bias voltage. Prior +to the instant of annihilation, their power spectrum is ultrabroadband, so they +can be converted into rapidly changing in time charge currents, via the inverse +spin Hall effect, as a source of THz radiation of bandwidth $\simeq 27$ THz +where the lowest frequency is controlled by the applied magnetic field. The +spin pumping stems from time-dependent fields introduced into the quantum +Hamiltonian of electrons by the classical dynamics of localized magnetic +moments (LMMs) comprising the domains. The pumped currents carry spin-polarized +electrons which, in turn, exert backaction on LMMs in the form of nonlocal +damping which is more than twice as large as conventional local Gilbert +damping. The nonlocal damping can substantially modify the spectrum of emitted +SWs when compared to widely-used micromagnetic simulations where conduction +electrons are completely absent. Since we use fully microscopic (i.e., +Hamiltonian-based) framework, self-consistently combining time-dependent +electronic nonequilibrium Green functions with the Landau-Lifshitz-Gilbert +equation, we also demonstrate that previously derived phenomenological formulas +miss ultrabroadband spin pumping while underestimating the magnitude of +nonlocal damping due to nonequilibrium electrons.",1908.03194v5 +2020-11-11,Reduction of back switching by large damping ferromagnetic material,"Recent studies on magnetization dynamics induced by spin-orbit torque have +revealed a weak dependence of the critical current for magnetization switching +on the damping constant of a ferromagnetic free layer. This study, however, +reveals that the damping constant nevertheless plays a key role in +magnetization switching induced by spin-orbit torque. An undesirable switching, +returning to an initial state, named as back switching, occurs in a ferromagnet +with an easy axis parallel to the current direction. Numerical and theoretical +analyses reveal that back switching is strongly suppressed when the damping +constant of the ferromagnet is large.",2011.05566v1 +2015-07-29,Spin dynamics and relaxation in the classical-spin Kondo-impurity model beyond the Landau-Lifschitz-Gilbert equation,"The real-time dynamics of a classical spin in an external magnetic field and +locally exchange coupled to an extended one-dimensional system of +non-interacting conduction electrons is studied numerically. Retardation +effects in the coupled electron-spin dynamics are shown to be the source for +the relaxation of the spin in the magnetic field. Total energy and spin is +conserved in the non-adiabatic process. Approaching the new local ground state +is therefore accompanied by the emission of dispersive wave packets of +excitations carrying energy and spin and propagating through the lattice with +Fermi velocity. While the spin dynamics in the regime of strong exchange +coupling J is rather complex and governed by an emergent new time scale, the +motion of the spin for weak J is regular and qualitatively well described by +the Landau-Lifschitz-Gilbert (LLG) equation. Quantitatively, however, the full +quantum-classical hybrid dynamics differs from the LLG approach. This is +understood as a breakdown of weak-coupling perturbation theory in J in the +course of time. Furthermore, it is shown that the concept of the Gilbert +damping parameter is ill-defined for the case of a one-dimensional system.",1507.08227v2 +2008-09-26,Damping and magnetic anisotropy of ferromagnetic GaMnAs thin films,"The magnetic properties of annealed, epitaxial Ga0.93Mn0.07As layers under +tensile and compressive stress have been investigated by X-band (9GHz) and +Q-band (35GHz) ferromagnetic resonance (FMR) spectroscopy. From the analysis of +the linewidths of the uniform mode spectra the FMR Gilbert damping factor +""alpha"" has been determined. At T=4K we obtain a minimum damping factor of +""alpha"" = 0.003 for the compressively stressed layer. Its value is not +isotropic. It has a minimum value for the easy axes orientations of the +magnetic field and increases with the measuring temperature. Its average value +is for both type of films of the order of 0.01 in spite of strong differences +in the inhomogeneous linewidth which vary between 20 Oe and 600 Oe for the +layers grown on GaAs and GaInAs substrates respectively.",0809.4644v2 +2013-08-02,Spin pumping damping and magnetic proximity effect in Pd and Pt spin-sink layers,"We investigated the spin pumping damping contributed by paramagnetic layers +(Pd, Pt) in both direct and indirect contact with ferromagnetic +Ni$_{81}$Fe$_{19}$ films. We find a nearly linear dependence of the +interface-related Gilbert damping enhancement $\Delta\alpha$ on the heavy-metal +spin-sink layer thicknesses t$_\textrm{N}$ in direct-contact +Ni$_{81}$Fe$_{19}$/(Pd, Pt) junctions, whereas an exponential dependence is +observed when Ni$_{81}$Fe$_{19}$ and (Pd, Pt) are separated by \unit[3]{nm} Cu. +We attribute the quasi-linear thickness dependence to the presence of induced +moments in Pt, Pd near the interface with Ni$_{81}$Fe$_{19}$, quantified using +X-ray magnetic circular dichroism (XMCD) measurements. Our results show that +the scattering of pure spin current is configuration-dependent in these systems +and cannot be described by a single characteristic length.",1308.0450v2 +2018-09-25,"Theory of damping in magnetization dynamics, dispelling a myth and pointing a way forward","There is a widely-held belief amongst theoreticians that the Gilbert damping +parameter {\alpha} in magnetization dynamics is infinite for a pure metal at +T=0. The basic error leading to this belief is pointed out explicitly and the +various methods of calculation used are viewed in a unified way based on the +Lorentzian lineshape of ferromagnetic resonance spectra. A general torque +formula for {\alpha} is proposed as a good starting-point for treating +inhomogeneous materials such as alloys, compounds and layered structures. Local +spin density functional theory provides a simple physical picture, in terms of +a non-uniform precessional cone angle in ferromagnetic resonance, of how such +inhomogeneity contributes to the damping. In a complementary many-body theory +this contribution is given by a vertex correction to the torque-torque response +function.",1809.09429v1 +2021-04-22,Impact of Fe$_{80}$B$_{20}$ insertion on the properties of dual-MgO perpendicular magnetic tunnel junctions,"We explore the impact of Fe80B20 inserted at both +Co$_{20}$Fe$_{80}$B$_{20}$/MgO interfaces of dual-MgO free layers (FLs) in +bottom-pinned magnetic tunnel junctions (MTJs). MTJ stacks are annealed for 30 +min at 350 $^\circ$C and 400 $^\circ$C in a vacuum after film deposition. +Current-in-plane tunneling measurements are carried out to characterize +magnetotransport properties of the MTJs. Conventional magnetometry measurements +and ferromagnetic resonance are conducted to estimate the saturation +magnetization, the effective perpendicular anisotropy field and the Gilbert +damping of dual-MgO FLs as a function of the Fe$_{80}$B$_{20}$ thickness and +annealing temperatures. With ultrathin Fe$_{80}$B$_{20}$ (0.2 - 0.4 nm) +inserted, perpendicular magnetic anisotropy (PMA) of FLs increases with similar +tunnel magneto-resistance (TMR) and low damping values. As Fe$_{80}$B$_{20}$ +layer thickness further increases (0.6 - 1.2 nm), both TMR and PMA degrade, and +damping increases dramatically. This study demonstrates a novel approach to +tune properties of MTJ stacks with dual-MgO FLs up to 400 $^\circ$C annealing, +which enables MTJ stacks for various applications.",2104.10918v1 +2018-10-31,Anisotropic and controllable Gilbert-Bloch dissipation in spin valves,"Spin valves form a key building block in a wide range of spintronic concepts +and devices from magnetoresistive read heads to spin-transfer-torque +oscillators. We elucidate the dependence of the magnetic damping in the free +layer on the angle its equilibrium magnetization makes with that in the fixed +layer. The spin pumping-mediated damping is anisotropic and tensorial, with +Gilbert- and Bloch-like terms. Our investigation reveals a mechanism for tuning +the free layer damping in-situ from negligible to a large value via the +orientation of fixed layer magnetization, especially when the magnets are +electrically insulating. Furthermore, we expect the Bloch contribution that +emerges from the longitudinal spin accumulation in the non-magnetic spacer to +play an important role in a wide range of other phenomena in spin valves.",1811.00020v2 +2019-07-27,Two improved Gauss-Seidel projection methods for Landau-Lifshitz-Gilbert equation,"In this paper, we present two improved Gauss-Seidel projection methods with +unconditional stability. The first method updates the gyromagnetic term and the +damping term simultaneously and follows by a projection step. The second method +introduces two sets of approximate solutions, where we update the gyromagnetic +term and the damping term simultaneously for one set of approximate solutions +and apply the projection step to the other set of approximate solutions in an +alternating manner. Compared to the original Gauss-Seidel projection method +which has to solve heat equations $7$ times at each time step, the improved +methods solve heat equations $5$ times and $3$ times, respectively. First-order +accuracy in time and second-order accuracy in space are verified by examples in +both 1D and 3D. In addition, unconditional stability with respect to both the +grid size and the damping parameter is confirmed numerically. Application of +both methods to a realistic material is also presented with hysteresis loops +and magnetization profiles. Compared with the original method, the recorded +running times suggest that savings of both methods are about $2/7$ and $4/7$ +for the same accuracy requirement, respectively.",1907.11853v1 +2020-10-01,Modeling coupled spin and lattice dynamics,"A unified model of molecular and atomistic spin dynamics is presented +enabling simulations both in microcanonical and canonical ensembles without the +necessity of additional phenomenological spin damping. Transfer of energy and +angular momentum between the lattice and the spin systems is achieved by a +coupling term based upon the spin-orbit interaction. The characteristic spectra +of the spin and phonon systems are analyzed for different coupling strength and +temperatures. The spin spectral density shows magnon modes together with the +uncorrelated noise induced by the coupling to the lattice. The effective +damping parameter is investigated showing an increase with both coupling +strength and temperature. The model paves the way to understanding magnetic +relaxation processes beyond the phenomenological approach of the Gilbert +damping and the dynamics of the energy transfer between lattice and spins.",2010.00642v1 +2021-09-24,Damping in yttrium iron garnet film with an interface,"We report strong damping enhancement in a 200 nm thick yttrium iron garnet +(YIG) film due to spin inhomogeneity at the interface. The growth-induced thin +interfacial gadolinium iron garnet (GdIG) layer antiferromagnetically (AFM) +exchange couples with the rest of the YIG layer. The out-of-plane angular +variation of ferromagnetic resonance (FMR) linewidth $\Delta H$ reflects a +large inhomogeneous distribution of effective magnetization $\Delta 4 \pi +M_{eff}$ due to the presence of an exchange springlike moments arrangement in +YIG. We probe the spin inhomogeneity at the YIG-GdIG interface by performing an +in-plane angular variation of resonance field $H_{r}$, leading to a +unidirectional feature. The large extrinsic $\Delta 4\pi M_{eff}$ contribution, +apart from the inherent intrinsic Gilbert contribution, manifests enhanced +precessional damping in YIG film.",2109.12071v1 +2003-09-11,Theory of Current-Induced Magnetization Precession,"We solve appropriate drift-diffusion and Landau-Lifshitz-Gilbert equations to +demonstrate that unpolarized current flow from a non-magnet into a ferromagnet +can produce a precession-type instability of the magnetization. The fundamental +origin of the instability is the difference in conductivity between majority +spins and minority spins in the ferromagnet. This leads to spin accumulation +and spin currents that carry angular momentum across the interface. The +component of this angular momentum perpendicular to the magnetization drives +precessional motion that is opposed by Gilbert damping. Neglecting magnetic +anisotropy and magnetostatics, our approximate analytic and exact numerical +solutions using realistic values for the material parameters show (for both +semi-infinite and thin film geometries) that a linear instability occurs when +both the current density and the excitation wave vector parallel to the +interface are neither too small nor too large. For many aspects of the problem, +the variation of the magnetization in the direction of the current flows makes +an important contribution.",0309289v1 +2009-05-28,Hydrodynamic theory of coupled current and magnetization dynamics in spin-textured ferromagnets,"We develop the hydrodynamical theory of collinear spin currents coupled to +magnetization dynamics in metallic ferromagnets. The collective spin density +couples to the spin current through a U(1) Berry-phase gauge field determined +by the local texture and dynamics of the magnetization. We determine +phenomenologically the dissipative corrections to the equation of motion for +the electronic current, which consist of a dissipative spin-motive force +generated by magnetization dynamics and a magnetic texture-dependent +resistivity tensor. The reciprocal dissipative, adiabatic spin torque on the +magnetic texture follows from the Onsager principle. We investigate the effects +of thermal fluctuations and find that electronic dynamics contribute to a +nonlocal Gilbert damping tensor in the Landau-Lifshitz-Gilbert equation for the +magnetization. Several simple examples, including magnetic vortices, helices, +and spirals, are analyzed in detail to demonstrate general principles.",0905.4544v2 +2010-11-26,Dependence of nonlocal Gilbert damping on the ferromagnetic layer type in FM/Cu/Pt heterostructures,"We have measured the size effect in nonlocal Gilbert relaxation rate in +FM(t$_{FM}$) / Cu (5nm) [/ Pt (2nm)] / Al(2nm) heterostructures, FM = \{ +Ni$_{81}$Fe$_{19}$, Co$_{60}$Fe$_{20}$B$_{20}$, pure Co\}. Common behavior is +observed for three FM layers, where the additional relaxation obeys both a +strict inverse power law dependence $\Delta G =K \:t^{n}$, +$n=-\textrm{1.04}\pm\textrm{0.06}$ and a similar magnitude +$K=\textrm{224}\pm\textrm{40 Mhz}\cdot\textrm{nm}$. As the tested FM layers +span an order of magnitude in spin diffusion length $\lambda_{SDL}$, the +results are in support of spin diffusion, rather than nonlocal resistivity, as +the origin of the effect.",1011.5868v1 +2012-06-21,Fast domain wall propagation in uniaxial nanowires with transverse fields,"Under a magnetic field along its axis, domain wall motion in a uniaxial +nanowire is much slower than in the fully anisotropic case, typically by +several orders of magnitude (the square of the dimensionless Gilbert damping +parameter). However, with the addition of a magnetic field transverse to the +wire, this behaviour is dramatically reversed; up to a critical field strength, +analogous to the Walker breakdown field, domain walls in a uniaxial wire +propagate faster than in a fully anisotropic wire (without transverse field). +Beyond this critical field strength, precessional motion sets in, and the mean +velocity decreases. Our results are based on leading-order analytic +calculations of the velocity and critical field as well as numerical solutions +of the Landau-Lifshitz-Gilbert equation.",1206.4819v2 +2013-03-05,"Angle-Dependent Spin-Wave Resonance Spectroscopy of (Ga,Mn)As Films","A modeling approach for standing spin-wave resonances based on a +finite-difference formulation of the Landau-Lifshitz-Gilbert equation is +presented. In contrast to a previous study [Bihler et al., Phys. Rev. B 79, +045205 (2009)], this formalism accounts for elliptical magnetization precession +and magnetic properties arbitrarily varying across the layer thickness, +including the magnetic anisotropy parameters, the exchange stiffness, the +Gilbert damping, and the saturation magnetization. To demonstrate the +usefulness of our modeling approach, we experimentally study a set of (Ga,Mn)As +samples grown by low-temperature molecular-beam epitaxy by means of +electrochemical capacitance-voltage measurements and angle-dependent standing +spin-wave resonance spectroscopy. By applying our modeling approach, the angle +dependence of the spin-wave resonance data can be reproduced in a simulation +with one set of simulation parameters for all external field orientations. We +find that the approximately linear gradient in the out-of-plane magnetic +anisotropy is related to a linear gradient in the hole concentrations of the +samples.",1303.1192v1 +2013-04-26,Landau-Lifshitz theory of the longitudinal spin Seebeck effect,"Thermal-bias-induced spin angular momentum transfer between a paramagnetic +metal and ferromagnetic insulator is studied theoretically based on the +stochastic Landau-Lifshitz-Gilbert (LLG) phenomenology. Magnons in the +ferromagnet establish a nonequilibrium steady state by equilibrating with +phonons via bulk Gilbert damping and electrons in the paramagnet via spin +pumping, according to the fluctuation-dissipation theorem. Subthermal magnons +and the associated spin currents are treated classically, while the appropriate +quantum crossover is imposed on high-frequency magnetic fluctuations. We +identify several length scales in the ferromagnet, which govern qualitative +changes in the dependence of the thermally-induced spin current on the magnetic +film thickness.",1304.7295v2 +2014-02-27,On the longitudinal spin current induced by a temperature gradient in a ferromagnetic insulator,"Based on the solution of the stochastic Landau-Lifshitz-Gilbert equation +discretized for a ferromagnetic chain subject to a uniform temperature +gradient, we present a detailed numerical study of the spin dynamics with a +focus particularly on finite-size effects. We calculate and analyze the net +longitudinal spin current for various temperature gradients, chain lengths, and +external static magnetic fields. In addition, we model an interface formed by a +nonuniformly magnetized finite-size ferromagnetic insulator and a normal metal +and inspect the effects of enhanced Gilbert damping on the formation of the +space-dependent spin current within the chain. A particular aim of this study +is the inspection of the spin Seebeck effect beyond the linear response regime. +We find that within our model the microscopic mechanism of the spin Seebeck +current is the magnon accumulation effect quantified in terms of the exchange +spin torque. According to our results, this effect drives the spin Seebeck +current even in the absence of a deviation between the magnon and phonon +temperature profiles. Our theoretical findings are in line with the recently +observed experimental results by M. Agrawal et al., Phys. Rev. Lett. 111, +107204 (2013).",1402.6899v1 +2015-01-19,Effect of Exchange Interaction on Magnetic Thermal Fluctuation and Spin Susceptibility,"The expression of the thermal fluctuation parameter in the stochastic +Landau-Lifshitz-Gilbert equation has been derived from a fundamental quantum +theory of spins and phonons, in which the exchange interaction between nearest +atoms has been included. Our studies show that the thermal fluctuation +decreases exponentially with increasing exchange interaction. The non-uniform +fluctuation of local spins make the spin susceptibility much different from the +result derived by the macro-spin model or single spin model. The related spin +susceptibility depends not only on the strength of exchange interaction, but +also on the lattice structure. The non-uniform fluctuation can lead to an extra +broadening of the resonance line width along with the broadening arisen from +the Gilbert damping.",1501.04503v2 +2015-07-23,Nanomagnet coupled to quantum spin Hall edge: An adiabatic quantum motor,"The precessing magnetization of a magnetic islands coupled to a quantum spin +Hall edge pumps charge along the edge. Conversely, a bias voltage applied to +the edge makes the magnetization precess. We point out that this device +realizes an adiabatic quantum motor and discuss the efficiency of its operation +based on a scattering matrix approach akin to Landauer-B""uttiker theory. +Scattering theory provides a microscopic derivation of the +Landau-Lifshitz-Gilbert equation for the magnetization dynamics of the device, +including spin-transfer torque, Gilbert damping, and Langevin torque. We find +that the device can be viewed as a Thouless motor, attaining unit efficiency +when the chemical potential of the edge states falls into the +magnetization-induced gap. For more general parameters, we characterize the +device by means of a figure of merit analogous to the ZT value in +thermoelectrics.",1507.06505v2 +2018-02-28,Roles of chiral renormalization on magnetization dynamics in chiral magnets,"In metallic ferromagnets, the interaction between local magnetic moments and +conduction electrons renormalizes parameters of the Landau-Lifshitz-Gilbert +equation such as the gyromagnetic ratio and the Gilbert damping, and makes them +dependent on the magnetic configurations. Although the effects of the +renormalization for nonchiral ferromagnets are usually minor and hardly +detectable, we show that the renormalization does play a crucial role for +chiral magnets. Here the renormalization is chiral and as such we predict +experimentally identifiable effects on the phenomenology of magnetization +dynamics. In particular, our theory for the self-consistent magnetization +dynamics of chiral magnets allows for a concise interpretation of domain wall +creep motion. We also argue that the conventional creep theory of the domain +wall motion, which assumes Markovian dynamics, needs critical reexamination +since the gyromagnetic ratio makes the motion non-Markovian. The non-Markovian +nature of the domain wall dynamics is experimentally checkable by the chirality +of the renormalization.",1803.00017v2 +2018-12-20,Laser Controlled Spin Dynamics of Ferromagnetic Thin Film from Femtosecond to Nanosecond Timescale,"Laser induced modulation of the magnetization dynamics occurring over various +time-scales have been unified here for a Ni80Fe20 thin film excited by +amplified femtosecond laser pulses. The weak correlation between +demagnetization time and pump fluence with substantial enhancement in +remagnetization time is demonstrated using three-temperature model considering +the temperatures of electron, spin and lattice. The picosecond magnetization +dynamics is modeled using the Landau-Lifshitz-Gilbert equation. With increasing +pump fluence the Gilbert damping parameter shows significant enhancement from +its intrinsic value due to increment in the ratio of electronic temperature to +Curie temperature within very short time scale. The precessional frequency +experiences noticeable red shift with increasing pump fluence. The changes in +the local magnetic properties due to accumulation and dissipation of thermal +energy within the probed volume are described by the evolution of temporal +chirp parameter in a comprehensive manner. A unification of ultrafast magnetic +processes and its control over broad timescale would enable the integration of +various magnetic processes in a single device and use one effect to control +another.",1812.08404v1 +2008-11-25,The quantum-mechanical basis of an extended Landau-Lifshitz-Gilbert equation for a current-carrying ferromagnetic wire,"An extended Landau-Lifshitz-Gilbert (LLG) equation is introduced to describe +the dynamics of inhomogeneous magnetization in a current-carrying wire. The +coefficients of all the terms in this equation are calculated +quantum-mechanically for a simple model which includes impurity scattering. +This is done by comparing the energies and lifetimes of a spin wave calculated +from the LLG equation and from the explicit model. Two terms are of particular +importance since they describe non-adiabatic spin-transfer torque and damping +processes which do not rely on spin-orbit coupling. It is shown that these +terms may have a significant influence on the velocity of a current-driven +domain wall and they become dominant in the case of a narrow wall.",0811.4118v1 +2019-03-13,Higher-order linearly implicit full discretization of the Landau--Lifshitz--Gilbert equation,"For the Landau--Lifshitz--Gilbert (LLG) equation of micromagnetics we study +linearly implicit backward difference formula (BDF) time discretizations up to +order $5$ combined with higher-order non-conforming finite element space +discretizations, which are based on the weak formulation due to Alouges but use +approximate tangent spaces that are defined by $L^2$-averaged instead of nodal +orthogonality constraints. We prove stability and optimal-order error bounds in +the situation of a sufficiently regular solution. For the BDF methods of orders +$3$ to~$5$, this requires %a mild time step restriction $\tau \leqslant ch$ and +that the damping parameter in the LLG equations be above a positive threshold; +this condition is not needed for the A-stable methods of orders $1$ and $2$, +for which furthermore a discrete energy inequality irrespective of solution +regularity is proved.",1903.05415v2 +2019-12-01,Coarse-graining in micromagnetic simulations of dynamic hysteresis loops,"Micromagnetic simulations based on the stochastic Landau-Lifshitz-Gilbert +equation are used to calculate dynamic magnetic hysteresis loops relevant to +magnetic hyperthermia. With the goal to effectively simulate room-temperature +loops for large iron-oxide-based systems at relatively slow sweep rates on the +order of 1 Oe/ns or less, a previously derived renormalization group approach +for coarse-graining (Grinstein and Koch, Phys. Rev. Lett. 20, 207201, 2003) is +modified and applied to calculating loops for a magnetite nanorod. The nanorod +modelled is the building block for larger nanoparticles that were employed in +preclinical studies (Dennis et al., Nanotechnology 20, 395103, 2009). The +scaling algorithm is shown to produce nearly identical loops over several +decades in the model grain size. Sweep-rate scaling involving the Gilbert +damping parameter is also demonstrated to allow orders of magnitude speed-up of +the loop calculations.",1912.00310v3 +2020-02-17,Self-similar shrinkers of the one-dimensional Landau-Lifshitz-Gilbert equation,"The main purpose of this paper is the analytical study of self-shrinker +solutions of the one-dimensional Landau-Lifshitz-Gilbert equation (LLG), a +model describing the dynamics for the spin in ferromagnetic materials. We show +that there is a unique smooth family of backward self-similar solutions to the +LLG equation, up to symmetries, and we establish their asymptotics. Moreover, +we obtain that in the presence of damping, the trajectories of the self-similar +profiles converge to great circles on the sphere $\mathbb{S}^2$, at an +exponential rate. In particular, the results presented in this paper provide +examples of blow-up in finite time, where the singularity develops due to rapid +oscillations forming limit circles.",2002.06858v2 +2021-02-20,Fast magnetization reversal of a magnetic nanoparticle induced by cosine chirp microwave field pulse,"We investigate the magnetization reversal of single-domain magnetic +nanoparticle driven by the circularly polarized cosine chirp microwave pulse +(CCMP). The numerical findings, based on the Landau-Lifshitz-Gilbert equation, +reveal that the CCMP is by itself capable of driving fast and energy-efficient +magnetization reversal. The microwave field amplitude and initial frequency +required by a CCMP are much smaller than that of the linear down-chirp +microwave pulse. This is achieved as the frequency change of the CCMP closely +matches the frequency change of the magnetization precession which leads to an +efficient stimulated microwave energy absorption (emission) by (from) the +magnetic particle before (after) it crosses over the energy barrier. We further +find that the enhancement of easy-plane shape anisotropy significantly reduces +the required microwave amplitude and the initial frequency of CCMP. We also +find that there is an optimal Gilbert damping for fast magnetization reversal. +These findings may provide a pathway to realize the fast and low-cost memory +device.",2102.10394v2 +2021-07-24,Electron-Phonon Scattering governs both Ultrafast and Precessional Magnetization Dynamics in Co-Fe Alloys,"Recent investigations have advanced the understanding of how +structure-property relationships in ferromagnetic metal alloys affect the +magnetization dynamics on nanosecond time-scales. A similar understanding for +magnetization dynamics on femto- to pico-second time-scales does not yet exist. +To address this, we perform time-resolved magneto optic Kerr effect (TRMOKE) +measurements of magnetization dynamics in Co-Fe alloys on femto- to nano-second +regimes. We show that Co-Fe compositions that exhibit low Gilbert damping +parameters also feature prolonged ultrafast demagnetization upon +photoexcitation. We analyze our experimental TR-MOKE data with the +three-temperature-model (3TM) and the Landau-Lifshitz-Gilbert equation. These +analyses reveal a strong compositional dependence of the dynamics across all +time-scales on the strength of electron-phonon interactions. Our findings are +beneficial to the spintronics and magnonics community, and will aid in the +quest for energy-efficient magnetic storage applications.",2107.11699v1 +2022-09-07,Convergence analysis of an implicit finite difference method for the inertial Landau-Lifshitz-Gilbert equation,"The Landau-Lifshitz-Gilbert (LLG) equation is a widely used model for fast +magnetization dynamics in ferromagnetic materials. Recently, the inertial LLG +equation, which contains an inertial term, has been proposed to capture the +ultra-fast magnetization dynamics at the sub-picosecond timescale. +Mathematically, this generalized model contains the first temporal derivative +and a newly introduced second temporal derivative of magnetization. +Consequently, it produces extra difficulties in numerical analysis due to the +mixed hyperbolic-parabolic type of this equation with degeneracy. In this work, +we propose an implicit finite difference scheme based on the central difference +in both time and space. A fixed point iteration method is applied to solve the +implicit nonlinear system. With the help of a second order accurate constructed +solution, we provide a convergence analysis in $H^1$ for this numerical scheme, +in the $\ell^\infty (0, T; H_h^1)$ norm. It is shown that the proposed method +is second order accurate in both time and space, with unconditional stability +and a natural preservation of the magnetization length. In the hyperbolic +regime, significant damping wave behaviors of magnetization at a shorter +timescale are observed through numerical simulations.",2209.02914v2 +2022-09-16,Pseudo-PT symmetric Dirac equation : effect of a new mean spin angular momentum operator on Gilbert damping,"The pseudo-PT symmetric Dirac equation is proposed and analyzed by using a +non-unitary Foldy-Wouthuysen transformations. A new spin operator PT symmetric +expectation value (called the mean spin operator) for an electron interacting +with a time-dependent electromagnetic field is obtained. We show that spin +magnetization - which is the quantity usually measured experimentally - is not +described by the standard spin operator but by this new mean spin operator to +properly describe magnetization dynamics in ferromagnetic materials and the +corresponding equation of motion is compatible with the phenomenological model +of the Landau-Lifshitz-Gilbert equation (LLG).",2209.07908v1 +2022-11-15,Nonlinear sub-switching regime of magnetization dynamics in photo-magnetic garnets,"We analyze, both experimentally and numerically, the nonlinear regime of the +photo-induced coherent magnetization dynamics in cobalt-doped yttrium iron +garnet films. Photo-magnetic excitation with femtosecond laser pulses reveals a +strongly nonlinear response of the spin subsystem with a significant increase +of the effective Gilbert damping. By varying both laser fluence and the +external magnetic field, we show that this nonlinearity originates in the +anharmonicity of the magnetic energy landscape. We numerically map the +parameter workspace for the nonlinear photo-induced spin dynamics below the +photo-magnetic switching threshold. Corroborated by numerical simulations of +the Landau-Lifshitz-Gilbert equation, our results highlight the key role of the +cubic symmetry of the magnetic subsystem in reaching the nonlinear spin +precession regime. These findings expand the fundamental understanding of +laser-induced nonlinear spin dynamics as well as facilitate the development of +applied photo-magnetism.",2211.08048v2 +2023-08-16,Discovery and regulation of chiral magnetic solitons: Exact solution from Landau-Lifshitz-Gilbert equation,"The Landau-Lifshitz-Gilbert (LLG) equation has emerged as a fundamental and +indispensable framework within the realm of magnetism. However, solving the LLG +equation, encompassing full nonlinearity amidst intricate complexities, +presents formidable challenges. In this context, we develop a precise mapping +through geometric representation, establishing a direct linkage between the LLG +equation and an integrable generalized nonlinear Schr\""odinger equation. This +novel mapping provides accessibility towards acquiring a great number of exact +spatiotemporal solutions. Notably, exact chiral magnetic solitons, critical for +stability and controllability in propagation with and without damping effects +are discovered. Our formulation provides exact solutions for the long-standing +fully nonlinear problem, facilitating practical control through spin current +injection in magnetic memory applications.",2308.08331v1 +2007-08-30,Asymptotic improvement of the Gilbert-Varshamov bound for linear codes,"The Gilbert-Varshamov bound states that the maximum size A_2(n,d) of a binary +code of length n and minimum distance d satisfies A_2(n,d) >= 2^n/V(n,d-1) +where V(n,d) stands for the volume of a Hamming ball of radius d. Recently +Jiang and Vardy showed that for binary non-linear codes this bound can be +improved to A_2(n,d) >= cn2^n/V(n,d-1) for c a constant and d/n <= 0.499. In +this paper we show that certain asymptotic families of linear binary [n,n/2] +random double circulant codes satisfy the same improved Gilbert-Varshamov +bound.",0708.4164v1 +2013-11-20,Asymptotic Improvement of the Gilbert-Varshamov Bound on the Size of Permutation Codes,"Given positive integers $n$ and $d$, let $M(n,d)$ denote the maximum size of +a permutation code of length $n$ and minimum Hamming distance $d$. The +Gilbert-Varshamov bound asserts that $M(n,d) \geq n!/V(n,d-1)$ where $V(n,d)$ +is the volume of a Hamming sphere of radius $d$ in $\S_n$. + Recently, Gao, Yang, and Ge showed that this bound can be improved by a +factor $\Omega(\log n)$, when $d$ is fixed and $n \to \infty$. Herein, we +consider the situation where the ratio $d/n$ is fixed and improve the +Gilbert-Varshamov bound by a factor that is \emph{linear in $n$}. That is, we +show that if $d/n < 0.5$, then $$ M(n,d)\geq cn\,\frac{n!}{V(n,d-1)} $$ where +$c$ is a positive constant that depends only on $d/n$. To establish this +result, we follow the method of Jiang and Vardy. Namely, we recast the problem +of bounding $M(n,d)$ into a graph-theoretic framework and prove that the +resulting graph is locally sparse.",1311.4925v1 +2002-12-05,Dynamic stiffness of spin valves,"The dynamics of the magnetic order parameters of +ferromagnet/normal-metal/ferromagnet spin valves and isolated ferromagnets may +be very different. We investigate the role of the nonequilibrium spin-current +exchange between the ferromagnets in the magnetization precession and +switching. We find a (low-temperature) critical current bias for a coherent +current-induced magnetization excitation in spin valves, which unifies and +generalizes previous ideas of Slonczewski and Berger. In the absence of an +applied bias, the effect of the spin transfer can be expressed as +magnetic--configuration-dependent Gilbert damping.",0212130v2 +2005-01-13,Magnetization noise in magnetoelectronic nanostructures,"By scattering theory we show that spin current noise in normal electric +conductors in contact with nanoscale ferromagnets increases the magnetization +noise by means of a fluctuating spin-transfer torque. Johnson-Nyquist noise in +the spin current is related to the increased Gilbert damping due to spin +pumping, in accordance with the fluctuation-dissipation theorem. Spin current +shot noise in the presence of an applied bias is the dominant contribution to +the magnetization noise at low temperatures.",0501318v1 +2006-05-08,Microscopic Calculation of Spin Torques in Disordered Ferromagnets,"Effects of conduction electrons on magnetization dynamics, represented by +spin torques, are calculated microscopically in the first order in spatial +gradient and time derivative of magnetization. Special attention is paid to the +so-called $\beta$-term and the Gilbert damping, $\alpha$, in the presence of +electrons' spin-relaxation processes, which are modeled by quenched magnetic +(and spin-orbit) impurities. The obtained results such as $\alpha \ne \beta$ +hold for localized as well as itinerant ferromagnetism.",0605186v1 +2006-11-27,Microscopic Calculation of Spin Torques and Forces,"Spin torques, that is, effects of conduction electrons on magnetization +dynamics, are calculated microscopically in the first order in spatial gradient +and time derivative of magnetization. Special attention is paid to the +so-called \beta-term and the Gilbert damping, \alpha, in the presence of +electrons' spin-relaxation processes, which are modeled by quenched magnetic +impurities. Two types of forces that the electric/spin current exerts on +magnetization are identified based on a general formula relating the force to +the torque.",0611669v1 +2007-10-15,Ferromagnetic resonance study of polycrystalline Fe_{1-x}V_x alloy thin films,"Ferromagnetic resonance has been used to study the magnetic properties and +magnetization dynamics of polycrystalline Fe$_{1-x}$V$_{x}$ alloy films with +$0\leq x < 0.7$. Films were produced by co-sputtering from separate Fe and V +targets, leading to a composition gradient across a Si substrate. FMR studies +were conducted at room temperature with a broadband coplanar waveguide at +frequencies up to 50 GHz using the flip-chip method. The effective +demagnetization field $4 \pi M_{\mathrm{eff}}$ and the Gilbert damping +parameter $\alpha$ have been determined as a function of V concentration. The +results are compared to those of epitaxial FeV films.",0710.2826v2 +2008-10-25,The domain wall spin torque-meter,"We report the direct measurement of the non-adiabatic component of the +spin-torque in domain walls. Our method is independent of both the pinning of +the domain wall in the wire as well as of the Gilbert damping parameter. We +demonstrate that the ratio between the non-adiabatic and the adiabatic +components can be as high as 1, and explain this high value by the importance +of the spin-flip rate to the non-adiabatic torque. Besides their fundamental +significance these results open the way for applications by demonstrating a +significant increase of the spin torque efficiency.",0810.4633v1 +2008-12-03,Observation of ferromagnetic resonance in strontium ruthenate (SrRuO3),"We report the observation of ferromagnetic resonance (FMR) in SrRuO3 using +the time-resolved magneto-optical Kerr effect. The FMR oscillations in the +time-domain appear in response to a sudden, optically induced change in the +direction of easy-axis anistropy. The high FMR frequency, 250 GHz, and large +Gilbert damping parameter, alpha ~ 1, are consistent with strong spin-orbit +coupling. We find that the parameters associated with the magnetization +dynamics, including alpha, have a non-monotonic temperature dependence, +suggestive of a link to the anomalous Hall effect.",0812.0832v1 +2011-02-26,Dynamics of Skyrmion Crystals in Metallic Thin Films,"We study the collective dynamics of the Skyrmion crystal (SkX) in thin films +of ferromagnetic metals resulting from the nontrivial Skyrmion topology. We +show that the current-driven motion of the crystal reduces the topological Hall +effect and the Skyrmion trajectories bend away from the direction of the +electric current (the Skyrmion Hall effect). We find a new dissipation +mechanism in non-collinear spin textures that can lead to a much faster spin +relaxation than Gilbert damping, calculate the dispersion of phonons in the +SkX, and discuss effects of impurity pinning of Skyrmions.",1102.5384v2 +2013-07-29,Theoretical Study of Spin-Torque Oscillator with Perpendicularly Magnetized Free Layer,"The magnetization dynamics of spin torque oscillator (STO) consisting of a +perpendicularly magnetized free layer and an in-plane magnetized pinned layer +was studied by solving the Landau-Lifshitz-Gilbert equation. We derived the +analytical formula of the relation between the current and the oscillation +frequency of the STO by analyzing the energy balance between the work done by +the spin torque and the energy dissipation due to the damping. We also found +that the field-like torque breaks the energy balance, and change the +oscillation frequency.",1307.7427v1 +2014-06-10,Influence of Ta insertions on the magnetic properties of MgO/CoFeB/MgO films probed by ferromagnetic resonance,"We show by vector network analyzer ferromagnetic resonance measurements that +low Gilbert damping {\alpha} down to 0.006 can be achieved in perpendicularly +magnetized MgO/CoFeB/MgO thin films with ultra-thin insertions of Ta in the +CoFeB layer. While increasing the number of Ta insertions allows thicker CoFeB +layers to remain perpendicular, the effective areal magnetic anisotropy does +not improve with more insertions, and also comes with an increase in {\alpha}.",1406.2491v2 +2014-09-24,Dissipationless Multiferroic Magnonics,"We propose that the magnetoelectric effect in multiferroic insulators with +coplanar antiferromagnetic spiral order, such as BiFeO$_{3}$, enables +electrically controlled dissipationless magnonics. Applying an oscillating +electric field in these materials with frequency as low as household frequency +can activate Goldstone modes that manifests fast planar rotations of spins, +whose motion is not obstructed by crystalline anisotropy. Combining with spin +ejection mechanisms, such a fast planar rotation can deliver electricity at +room temperature over a distance of the magnetic domain, which is free from the +energy loss due to Gilbert damping.",1409.6900v2 +2015-06-02,Current-Driven Motion of Magnetic Domain Wall with Many Bloch Lines,"The current-driven motion of a domain wall (DW) in a ferromagnet with many +Bloch lines (BLs) via the spin transfer torque is studied theoretically. It is +found that the motion of BLs changes the current-velocity ($j$-$v$) +characteristic dramatically. Especially, the critical current density to +overcome the pinning force is reduced by the factor of the Gilbert damping +coefficient $\alpha$ even compared with that of a skyrmion. This is in sharp +contrast to the case of magnetic field driven motion, where the existence of +BLs reduces the mobility of the DW.",1506.00723v1 +2016-01-23,Nonlinear magnetization dynamics of antiferromagnetic spin resonance induced by intense terahertz magnetic field,"We report on the nonlinear magnetization dynamics of a HoFeO3 crystal induced +by a strong terahertz magnetic field resonantly enhanced with a split ring +resonator and measured with magneto-optical Kerr effect microscopy. The +terahertz magnetic field induces a large change (~40%) in the spontaneous +magnetization. The frequency of the antiferromagnetic resonance decreases in +proportion to the square of the magnetization change. A modified +Landau-Lifshitz-Gilbert equation with a phenomenological nonlinear damping term +quantitatively reproduced the nonlinear dynamics.",1601.06213v1 +2017-08-11,Gradient expansion formalism for generic spin torques,"We propose a new quantum-mechanical formalism to calculate spin torques based +on the gradient expansion, which naturally involves spacetime gradients of the +magnetization and electromagnetic fields. We have no assumption in the +small-amplitude formalism or no difficulty in the SU($2$) gauge transformation +formalism. As a representative, we calculate the spin renormalization, Gilbert +damping, spin-transfer torque, and $\beta$-term in a three-dimensional +ferromagnetic metal with nonmagnetic and magnetic impurities being taken into +account within the self-consistent Born approximation. Our results serve as a +first-principles formalism for spin torques.",1708.03424v1 +2019-06-03,Magnon-phonon interactions in magnetic insulators,"We address the theory of magnon-phonon interactions and compute the +corresponding quasi-particle and transport lifetimes in magnetic insulators +with focus on yttrium iron garnet at intermediate temperatures from anisotropy- +and exchange-mediated magnon-phonon interactions, the latter being derived from +the volume dependence of the Curie temperature. We find in general weak effects +of phonon scattering on magnon transport and the Gilbert damping of the +macrospin Kittel mode. The magnon transport lifetime differs from the +quasi-particle lifetime at shorter wavelengths.",1906.01042v1 +2012-09-14,Skyrmion Dynamics in Multiferroic Insulator,"Recent discovery of Skyrmion crystal phase in insulating multiferroic +compound Cu$_2$OSeO$_3$ calls for new ways and ideas to manipulate the +Skyrmions in the absence of spin transfer torque from the conduction electrons. +It is shown here that the position-dependent electric field, pointed along the +direction of the average induced dipole moment of the Skyrmion, can induce the +Hall motion of Skyrmion with its velocity orthogonal to the field gradient. +Finite Gilbert damping produces longitudinal motion. We find a rich variety of +resonance modes excited by a.c. electric field.",1209.3120v1 +2019-09-17,Microwave induced tunable subharmonic steps in superconductor-ferromagnet-superconductor Josephson junction,"We investigate the coupling between ferromagnet and superconducting phase +dynamics in superconductor-ferromagnet-superconductor Josephson junction. The +current-voltage characteristics of the junction demonstrate a pattern of +subharmonic current steps which forms a devil's staircase structure. We show +that a width of the steps becomes maximal at ferromagnetic resonance. Moreover, +we demonstrate that the structure of the steps and their widths can be tuned by +changing the frequency of the external magnetic field, ratio of Josephson to +magnetic energy, Gilbert damping and the junction size.",1909.08004v1 +2019-09-19,Magnetization dynamics of the compensated ferrimagnet $Mn_{2}Ru_{x}Ga$,"Here we study both static and time-resolved dynamic magnetic properties of +the compensated ferrimagnet from room temperature down to 10K, thus crossing +the magnetic compensation temperature $T_{M}$. The behaviour is analysed with a +model of a simple collinear ferrimagnet with uniaxial anisotropy and +site-specific gyromagnetic ratios. We find a maximum zero-applied-field +resonance frequency of $\sim$160GHz and a low intrinsic Gilbert damping +$\alpha$$\sim$0.02, making it a very attractive candidate for various +spintronic applications.",1909.09085v1 +2020-04-17,Collective coordinate study of spin wave emission from dynamic domain wall,"We study theoretically the spin wave emission from a moving domain wall in a +ferromagnet. Introducing a deformation mode describing a modulation of the wall +thickness in the collective coordinate description, we show that thickness +variation couples to the spin wave linearly and induces spin wave emission. The +dominant emitted spin wave turns out to be polarized in the out-of wall plane +($\phi$)-direction. The emission contributes to the Gilbert damping parameter +proportional to $\hbar\omega_\phi/K$, the ratio of the angular frequency +$\omega_\phi$ of $\phi$ and the easy-axis anisotropy energy $K$.",2004.08082v1 +2015-02-09,Large amplitude oscillation of magnetization in spin-torque oscillator stabilized by field-like torque,"Oscillation frequency of spin torque oscillator with a perpendicularly +magnetized free layer and an in-plane magnetized pinned layer is theoretically +investigated by taking into account the field-like torque. It is shown that the +field-like torque plays an important role in finding the balance between the +energy supplied by the spin torque and the dissipation due to the damping, +which results in a steady precession. The validity of the developed theory is +confirmed by performing numerical simulations based on the +Landau-Lifshitz-Gilbert equation.",1502.02699v1 +2019-11-28,Transport properties of spin superfluids: comparing easy-plane ferro- and antiferromagnets,"We present a study on spin-superfluid transport based on an atomistic, +classical spin model. Easy-plane ferro- as well as antiferromagnets are +considered, which allows for a direct comparison of these two material classes +based on the same model assumptions. We find a spin-superfluid transport which +is robust against variations of the boundary conditions, thermal fluctuations, +and dissipation modeled via Gilbert damping. Though the spin accumulations is +smaller for antiferromagnets the range of the spin-superfluid transport turns +out to be identical for ferro- and antiferromagnets. Finally, we calculate and +explore the role of the driving frequency and especially the critical +frequency, where phase slips occur and the spin accumulation breaks down.",1911.12786v1 +2021-03-10,Anisotropic superconducting spin transport at magnetic interfaces,"We present a theoretical investigation of anisotropic superconducting spin +transport at a magnetic interface between a p-wave superconductor and a +ferromagnetic insulator. Our formulation describes the ferromagnetic resonance +modulations due to spin current generation depending on spin-triplet Cooper +pair, including the frequency shift and enhanced Gilbert damping, in a unified +manner. We find that the Cooper pair symmetry is detectable from the +qualitative behavior of the ferromagnetic resonance modulation. Our theory +paves the way toward anisotropic superconducting spintronics.",2103.05871v3 +2022-01-16,Ferromagnetic resonance modulation in $d$-wave superconductor/ferromagnetic insulator bilayer systems,"We investigate ferromagnetic resonance (FMR) modulation in $d$-wave +superconductor (SC)/ferromagnetic insulator (FI) bilayer systems theoretically. +The modulation of the Gilbert damping in these systems reflects the existence +of nodes in the $d$-wave SC and shows power-law decay characteristics within +the low-temperature and low-frequency limit. Our results indicate the +effectiveness of use of spin pumping as a probe technique to determine the +symmetry of unconventional SCs with high sensitivity for nanoscale thin films.",2201.06060v2 +2022-09-28,Unidirectional magnetic coupling,"We show that interlayer Dzyaloshinskii-Moriya interaction in combination with +non-local Gilbert damping gives rise to unidirectional magnetic coupling. That +is, the coupling between two magnetic layers -- say the left and right layer -- +is such that dynamics of the left layer leads to dynamics of the right layer, +but not vice versa. We discuss the implications of this result for the magnetic +susceptibility of a magnetic bilayer, electrically-actuated spin-current +transmission, and unidirectional spin-wave packet generation and propagation. +Our results may enable a route towards spin-current and spin-wave diodes and +further pave the way to design spintronic devices via reservoir engineering.",2209.14179v1 +2023-08-11,Dynamical Majorana Ising spin response in a topological superconductor-magnet hybrid by microwave irradiation,"We study a dynamical spin response of surface Majorana modes in a topological +superconductor-magnet hybrid under microwave irradiation. We find a method to +toggle between dissipative and non-dissipative Majorana Ising spin dynamics by +adjusting the external magnetic field angle and the microwave frequency. This +reflects the topological nature of the Majorana modes, enhancing the Gilbert +damping of the magnet, thereby, providing a detection method for the Majorana +Ising spins. Our findings illuminate a magnetic probe for Majorana modes, +paving the path to innovative spin devices.",2308.05955v2 +2007-05-14,"Identification of the dominant precession damping mechanism in Fe, Co, and Ni by first-principles calculations","The Landau-Lifshitz equation reliably describes magnetization dynamics using +a phenomenological treatment of damping. This paper presents first-principles +calculations of the damping parameters for Fe, Co, and Ni that quantitatively +agree with existing ferromagnetic resonance measurements. This agreement +establishes the dominant damping mechanism for these systems and takes a +significant step toward predicting and tailoring the damping constants of new +materials.",0705.1990v1 +2006-06-27,Theoretical limit of the minimal magnetization switching field and the optimal field pulse for Stoner particles,"The theoretical limit of the minimal magnetization switching field and the +optimal field pulse design for uniaxial Stoner particles are investigated. Two +results are obtained. One is the existence of a theoretical limit of the +smallest magnetic field out of all possible designs. It is shown that the limit +is proportional to the damping constant in the weak damping regime and +approaches the Stoner-Wohlfarth (SW) limit at large damping. For a realistic +damping constant, this limit is more than ten times smaller than that of +so-called precessional magnetization reversal under a non-collinear static +field. The other is on the optimal field pulse design: If the magnitude of a +magnetic field does not change, but its direction can vary during a reversal +process, there is an optimal design that gives the shortest switching time. The +switching time depends on the field magnitude, damping constant, and magnetic +anisotropy. However, the optimal pulse shape depends only on the damping +constant.",0606681v1 +2006-10-04,On the dynamics of spin systems in the Landau-Lifshitz theory,"In the framework of the Landau-Lifshitz equations without any dissipation (an +approximation which may also be helpful for finite but weak Gilbert damping), +with all interactions included, for general ground states, geometries and +domain structures, and many types of effective fields the dynamics of the spin +precession around this ground state is considered. + At first the precession is treated in the linear approximation. For the +eigenmodes of the precession one has a `rule of geometric mean' for the +eigenfrequencies. For the eigenmodes pseudo-orthogonality relations are +obtained, which reflect the gyrotropic and elliptic character of the spin +precession and differ from those known from the Schrodinger equation. Moreover, +pseudo-orthogonality relations are valid 'everywhere' (e.g., both in the outer +region and in the core region of a magnetic vortex). + Then also some aspects of the nonlinear mode coupling with emphasis on +`confluence' and `splitting' processes of elementary magnetic spin-wave +excitations are considered. At the same time these processes contribute to the +Gilbert damping. + There are thus essential differences to quantum mechanics, although at a +first glance one discovers many similarities. From the results one may also get +insights of why these systems are so complex that (although the essential +quantities depend only on the local values of the partially long-ranged +effective magnetic fields) practically only detailed experiments and computer +simulations make sense.",0610122v4 +2016-04-26,First principles studies of the Gilbert damping and exchange interactions for half-metallic Heuslers alloys,"Heusler alloys have been intensively studied due to the wide variety of +properties that they exhibit. One of these properties is of particular interest +for technological applications, i.e. the fact that some Heusler alloys are +half-metallic. In the following, a systematic study of the magnetic properties +of three different Heusler families $\textrm{Co}_2\textrm{Mn}\textrm{Z}$, +$\text{Co}_2\text{Fe}\text{Z}$ and $\textrm{Mn}_2\textrm{V}\textrm{Z}$ with +$\text{Z}=\left(\text{Al, Si, Ga, Ge}\right)$ is performed. A key aspect is the +determination of the Gilbert damping from first principles calculations, with +special focus on the role played by different approximations, the effect that +substitutional disorder and temperature effects. Heisenberg exchange +interactions and critical temperature for the alloys are also calculated as +well as magnon dispersion relations for representative systems, the +ferromagnetic $\textrm{Co}_2\textrm{Fe}\textrm{Si}$ and the ferrimagnetic +$\textrm{Mn}_2\textrm{V}\textrm{Al}$. Correlations effects beyond standard +density-functional theory are treated using both the local spin density +approximation including the Hubbard $U$ and the local spin density +approximation plus dynamical mean field theory approximation, which allows to +determine if dynamical self-energy corrections can remedy some of the +inconsistencies which were previously reported for these alloys.",1604.07552v1 +2019-10-29,Perpendicular magnetic anisotropy in Pt/Co-based full Heusler alloy/MgO thin films structures,"Perpendicular magnetic anisotropy (PMA) in ultrathin magnetic structures is a +key ingredient for the development of electrically controlled spintronic +devices. Due to their relatively large spin-polarization, high Curie +temperature and low Gilbert damping the Co-based full Heusler alloys are of +special importance from a scientific and applications point of view. Here, we +study the mechanisms responsible for the PMA in Pt/Co-based full Heusler +alloy/MgO thin films structures. We show that the ultrathin Heusler films +exhibit strong PMA even in the absence of magnetic annealing. By means of +ferromagnetic resonance experiments, we demonstrate that the effective +magnetization shows a two-regime behavior depending on the thickness of the +Heusler layers. Using Auger spectroscopy measurements, we evidence +interdiffusion at the underlayer/Heusler interface and the formation of an +interfacial CoFe-rich layer which causes the two-regime behavior. In the case +of the ultrathin films, the interfacial CoFe-rich layer promotes the strong PMA +through the electronic hybridization of the metal alloy and oxygen orbitals +across the ferromagnet/MgO interface. In addition, the interfacial CoFe-rich +layer it is also generating an increase of the Gilbert damping for the +ultrathin films beyond the spin-pumping effect. Our results illustrate that the +strong PMA is not an intrinsic property of the Heusler/MgO interface but it is +actively influenced by the interdiffusion, which can be tuned by a proper +choice of the underlayer material, as we show for the case of the Pt, Ta and Cr +underlayers.",1910.13107v1 +2016-12-21,"Spin Pumping, Dissipation, and Direct and Alternating Inverse Spin Hall Effects in Magnetic Insulator-Normal Metal Bilayers","We theoretically consider the spin-wave mode- and wavelength-dependent +enhancement of the Gilbert damping in magnetic insulator--normal metal bilayers +due to spin pumping as well as the enhancement's relation to direct and +alternating inverse spin Hall voltages in the normal metal. In the +long-wavelength limit, including long-range dipole interactions, the ratio of +the enhancement for transverse volume modes to that of the macrospin mode is +equal to two. With an out-of-plane magnetization, this ratio decreases with +both an increasing surface anisotropic energy and mode number. If the surface +anisotropy induces a surface state, the enhancement can be an order of +magnitude larger than for to the macrospin. With an in-plane magnetization, the +induced dissipation enhancement can be understood by mapping the anisotropy +parameter to the out-of-plane case with anisotropy. For shorter wavelengths, we +compute the enhancement numerically and find good agreement with the analytical +results in the applicable limits. We also compute the induced direct- and +alternating-current inverse spin Hall voltages and relate these to the magnetic +energy stored in the ferromagnet. Because the magnitude of the direct spin Hall +voltage is a measure of spin dissipation, it is directly proportional to the +enhancement of Gilbert damping. The alternating spin Hall voltage exhibits a +similar in-plane wave-number dependence, and we demonstrate that it is greatest +for surface-localized modes.",1612.07020v2 +2021-03-17,Spin injection efficiency at metallic interfaces probed by THz emission spectroscopy,"Terahertz (THz) spin-to-charge conversion has become an increasingly +important process for THz pulse generation and as a tool to probe ultrafast +spin interactions at magnetic interfaces. However, its relation to traditional, +steady state, ferromagnetic resonance techniques is poorly understood. Here we +investigate nanometric trilayers of Co/X/Pt (X=Ti, Au or Au0:85W0:15) as a +function of the 'X' layer thickness, where THz emission generated by the +inverse spin Hall effect is compared to the Gilbert damping of the +ferromagnetic resonance. Through the insertion of the 'X' layer we show that +the ultrafast spin current injected in the non-magnetic layer defines a direct +spin conductance, whereas the Gilbert damping leads to an effective spin +mixing-conductance of the trilayer. Importantly, we show that these two +parameters are connected to each other and that spin-memory losses can be +modeled via an effective Hamiltonian with Rashba fields. This work highlights +that magneto-circuits concepts can be successfully extended to ultrafast +spintronic devices, as well as enhancing the understanding of spin-to-charge +conversion processes through the complementarity between ultrafast THz +spectroscopy and steady state techniques.",2103.09557v1 +2022-06-06,Probing spin dynamics of ultra-thin van der Waals magnets via photon-magnon coupling,"Layered van der Waals (vdW) magnets can maintain a magnetic order even down +to the single-layer regime and hold promise for integrated spintronic devices. +While the magnetic ground state of vdW magnets was extensively studied, key +parameters of spin dynamics, like the Gilbert damping, crucial for designing +ultra-fast spintronic devices, remains largely unexplored. Despite recent +studies by optical excitation and detection, achieving spin wave control with +microwaves is highly desirable, as modern integrated information technologies +predominantly are operated with these. The intrinsically small numbers of +spins, however, poses a major challenge to this. + Here, we present a hybrid approach to detect spin dynamics mediated by +photon-magnon coupling between high-Q superconducting resonators and ultra-thin +flakes of Cr$_2$Ge$_2$Te$_6$ (CGT) as thin as 11\,nm. We test and benchmark our +technique with 23 individual CGT flakes and extract an upper limit for the +Gilbert damping parameter. These results are crucial in designing on-chip +integrated circuits using vdW magnets and offer prospects for probing spin +dynamics of monolayer vdW magnets.",2206.02460v2 +2023-03-13,Experimental investigation of the effect of topological insulator on the magnetization dynamics of ferromagnetic metal: $BiSbTe_{1.5}Se_{1.5}$ and $Ni_{80}Fe_{20}$ heterostructure,"We have studied ferromagnetic metal/topological insulator bilayer system to +understand magnetization dynamics of ferromagnetic metal (FM) in contact with a +topological insulator (TI). At magnetic resonance condition, the precessing +magnetization in the metallic ferromagnet ($Ni_{80}Fe_{20}$) injects spin +current into the topological insulator ($BiSbTe_{1.5}Se_{1.5}$), a phenomenon +known as spin-pumping. Due to the spin pumping effect, fast relaxation in the +ferromagnet results in the broadening of ferromagnetic resonance linewidth +($\Delta H$). We evaluated the parameters like effective Gilbert damping +coefficient ($\alpha_{eff}$), spin-mixing conductance ($g_{eff}^{\uparrow +\downarrow}$) and spin current density ($j_S^0$) to confirm a successful spin +injection due to spin-pumping into the $BiSbTe_{1.5}Se_{1.5}$ layer. TIs embody +a spin-momentum locked surface state that span the bulk band-gap. It can act +differently to the FM magnetization than the other normal metals. To probe the +effect of topological surface state, a systematic low temperature study is +crucial as surface state of TI dominates at lower temperatures. The exponential +growth of $\Delta H$ for all different thickness combination of FM/TI bilayers +and effective Gilbert damping coefficient ($\alpha_{eff}$) with lowering +temperature confirms the prediction that spin chemical bias generated from +spin-pumping induces surface current in TI due to spin-momentum locking. The +hump-like feature of magnetic anisotropy field ($H_K$)of the bilayer around 60K +suggests that the decrease of interfacial in-plane magnetic anisotropy can +result from exchange coupling between the TI surface state and the local +moments of FM layer.",2303.07025v2 +2022-02-10,Non-stationary Anderson acceleration with optimized damping,"Anderson acceleration (AA) has a long history of use and a strong recent +interest due to its potential ability to dramatically improve the linear +convergence of the fixed-point iteration. Most authors are simply using and +analyzing the stationary version of Anderson acceleration (sAA) with a constant +damping factor or without damping. Little attention has been paid to +nonstationary algorithms. However, damping can be useful and is sometimes +crucial for simulations in which the underlying fixed-point operator is not +globally contractive. The role of this damping factor has not been fully +understood. In the present work, we consider the non-stationary Anderson +acceleration algorithm with optimized damping (AAoptD) in each iteration to +further speed up linear and nonlinear iterations by applying one extra +inexpensive optimization. We analyze this procedure and develop an efficient +and inexpensive implementation scheme. We also show that, compared with the +stationary Anderson acceleration with fixed window size sAA(m), optimizing the +damping factors is related to dynamically packaging sAA(m) and sAA(1) in each +iteration (alternating window size $m$ is another direction of producing +non-stationary AA). Moreover, we show by extensive numerical experiments that +the proposed non-stationary Anderson acceleration with optimized damping +procedure often converges much faster than stationary AA with constant damping +or without damping.",2202.05295v1 +2012-08-01,Artificial Neural Network Based Prediction of Optimal Pseudo-Damping and Meta-Damping in Oscillatory Fractional Order Dynamical Systems,"This paper investigates typical behaviors like damped oscillations in +fractional order (FO) dynamical systems. Such response occurs due to the +presence of, what is conceived as, pseudo-damping and meta-damping in some +special class of FO systems. Here, approximation of such damped oscillation in +FO systems with the conventional notion of integer order damping and time +constant has been carried out using Genetic Algorithm (GA). Next, a multilayer +feed-forward Artificial Neural Network (ANN) has been trained using the GA +based results to predict the optimal pseudo and meta-damping from knowledge of +the maximum order or number of terms in the FO dynamical system.",1208.0318v1 +2021-02-01,Global existence for semilinear wave equations with scaling invariant damping in 3-D,"Global existence for small data Cauchy problem of semilinear wave equations +with scaling invariant damping in 3-D is established in this work, assuming +that the data are radial and the constant in front of the damping belongs to +$[1.5, 2)$. The proof is based on a weighted $L^2-L^2$ estimate for +inhomogeneous wave equation, which is established by interpolating between +energy estimate and Morawetz type estimate.",2102.00909v1 +2017-02-27,Current Induced Damping of Nanosized Quantum Moments in the Presence of Spin-Orbit Interaction,"Motivated by the need to understand current-induced magnetization dynamics at +the nanoscale, we have developed a formalism, within the framework of Keldysh +Green function approach, to study the current-induced dynamics of a +ferromagnetic (FM) nanoisland overlayer on a spin-orbit-coupling (SOC) Rashba +plane. In contrast to the commonly employed classical micromagnetic LLG +simulations the magnetic moments of the FM are treated {\it quantum +mechanically}. We obtain the density matrix of the whole system consisting of +conduction electrons entangled with the local magnetic moments and calculate +the effective damping rate of the FM. We investigate two opposite limiting +regimes of FM dynamics: (1) The precessional regime where the magnetic +anisotropy energy (MAE) and precessional frequency are smaller than the +exchange interactions, and (2) The local spin-flip regime where the MAE and +precessional frequency are comparable to the exchange interactions. In the +former case, we show that due to the finite size of the FM domain, the +\textquotedblleft Gilbert damping\textquotedblright does not diverge in the +ballistic electron transport regime, in sharp contrast to Kambersky's breathing +Fermi surface theory for damping in metallic FMs. In the latter case, we show +that above a critical bias the excited conduction electrons can switch the +local spin moments resulting in demagnetization and reversal of the +magnetization. Furthermore, our calculations show that the bias-induced +antidamping efficiency in the local spin-flip regime is much higher than that +in the rotational excitation regime.",1702.08408v2 +2018-12-18,Thermal gradient driven domain wall dynamics,"The issue of whether a thermal gradient acts like a magnetic field or an +electric current in the domain wall (DW) dynamics is investigated. Broadly +speaking, magnetization control knobs can be classified as energy-driving or +angular-momentum driving forces. DW propagation driven by a static magnetic +field is the best-known example of the former in which the DW speed is +proportional to the energy dissipation rate, and the current-driven DW motion +is an example of the latter. Here we show that DW propagation speed driven by a +thermal gradient can be fully explained as the angular momentum transfer +between thermally generated spin current and DW. We found DW-plane rotation +speed increases as DW width decreases. Both DW propagation speed along the wire +and DW-plane rotation speed around the wire decrease with the Gilbert damping. +These facts are consistent with the angular momentum transfer mechanism, but +are distinct from the energy dissipation mechanism. We further show that +magnonic spin-transfer torque (STT) generated by a thermal gradient has both +damping-like and field-like components. By analyzing DW propagation speed and +DW-plane rotation speed, the coefficient ( \b{eta}) of the field-like STT +arising from the non-adiabatic process, is obtained. It is found that \b{eta} +does not depend on the thermal gradient; increases with uniaxial anisotropy +K_(||) (thinner DW); and decreases with the damping, in agreement with the +physical picture that a larger damping or a thicker DW leads to a better +alignment between the spin-current polarization and the local magnetization, or +a better adiabaticity.",1812.07244v2 +2021-06-16,Spin-Torque-driven Terahertz Auto Oscillations in Non-Collinear Coplanar Antiferromagnets,"We theoretically and numerically study the terahertz auto oscillations in +thin-film metallic non-collinear coplanar antiferromagnets (AFMs), such as +$\mathrm{Mn_{3}Sn}$ and $\mathrm{Mn_{3}Ir}$, under the effect of anti-damping +spin-torque with spin polarization perpendicular to the plane of the film. To +obtain the order parameter dynamics in these AFMs, we solve three +Landau-Lifshitz-Gilbert equations coupled by exchange interactions assuming +both single- and multi-domain (micromagnetics) dynamical processes. In the +limit of strong exchange interaction, the oscillatory dynamics of the order +parameter in these AFMs, which have opposite chiralities, could be mapped to +that of a linear damped-driven pendulum in the case of $\mathrm{Mn_{3}Sn}$, and +a non-linear damped-driven pendulum in case of $\mathrm{Mn_{3}Ir}$. The +theoretical framework allows us to identify the input current requirements as a +function of the material and geometry parameters for exciting an oscillatory +response. We also obtain a closed-form approximate solution of the oscillation +frequency for large input currents in case of both $\mathrm{Mn_{3}Ir}$ and +$\mathrm{Mn_{3}Sn}$. Our analytical predictions of threshold current and +oscillation frequency agree well with the numerical results and thus can be +used as compact models to design and optimize the auto oscillator. Employing a +circuit model, based on the principle of tunnel anisotropy magnetoresistance, +we present detailed models of the output power and efficiency versus +oscillation frequency of the auto oscillator. Finally, we explore the spiking +dynamics of two unidirectional as well as bidirectional coupled AFM oscillators +using non-linear damped-driven pendulum equations.",2106.08528v2 +2023-01-30,Investigation of Ultrafast Demagnetization and Gilbert Damping and their Correlation in Different Ferromagnetic Thin Films Grown Under Identical Conditions,"Following the demonstration of laser-induced ultrafast demagnetization in +ferromagnetic nickel, several theoretical and phenomenological propositions +have sought to uncover its underlying physics. In this work we revisit the +three temperature model (3TM) and the microscopic three temperature model +(M3TM) to perform a comparative analysis of ultrafast demagnetization in +20-nm-thick cobalt, nickel and permalloy thin films measured using an +all-optical pump-probe technique. In addition to the ultrafast dynamics at the +femtosecond timescales, the nanosecond magnetization precession and damping are +recorded at various pump excitation fluences revealing a fluence-dependent +enhancement in both the demagnetization times and the damping factors. We +confirm that the Curie temperature to magnetic moment ratio of a given system +acts as a figure of merit for the demagnetization time, while the +demagnetization times and damping factors show an apparent sensitivity to the +density of states at the Fermi level for a given system. Further, from +numerical simulations of the ultrafast demagnetization based on both the 3TM +and the M3TM, we extract the reservoir coupling parameters that best reproduce +the experimental data and estimate the value of the spin flip scattering +probability for each system. We discuss how the fluence-dependence of +inter-reservoir coupling parameters so extracted may reflect a role played by +nonthermal electrons in the magnetization dynamics at low laser fluences.",2301.12797v1 +2005-10-30,Domain instability during precessional magnetization reversal,"Spin wave equations in the non-equilibrium precessing state of a +ferromagnetic system are found. They show a spin-wave instability towards +growing domains of stable magnetization. Precession of the uniform +magnetization mode is described by the Landau Lifshitz equation with the +exponentially growing in time effective Gilbert dissipation constant that could +have both signs. On the developed stages of the domain instability a +non-stationary picture of domain chaos is observed.",0510817v1 +2001-03-30,Thermal magnetization fluctuations in thin films and a new physical form for magnetization damping,"The effect of thermal fluctuations on a thin film magnetoresistive element +has been calculated. The technique involves adding to the basic spin dynamics a +general form of interaction with a thermal bath. For a general anisotropic +magnetic system the resulting equation can be written as a Langevin equation +for a harmonic oscillator. Our approach predicts two times smaller noise power +at low frequencies than the conventional stochastic Landau-Lifshitz-Gilbert +equation. It is shown that equivalent results can be obtained by introducing a +tensor phenomenological damping term to the gyromagnetic dynamics driven by a +thermal fluctuating field.",0103624v3 +2004-02-03,First-principles study of magnetization relaxation enhancement and spin-transfer in thin magnetic films,"The interface-induced magnetization damping of thin ferromagnetic films in +contact with normal-metal layers is calculated from first principles for clean +and disordered Fe/Au and Co/Cu interfaces. Interference effects arising from +coherent scattering turn out to be very small, consistent with a very small +magnetic coherence length. Because the mixing conductances which govern the +spin transfer are to a good approximation real valued, the spin pumping can be +described by an increased Gilbert damping factor but an unmodified gyromagnetic +ratio. The results also confirm that the spin-current induced magnetization +torque is an interface effect.",0402088v2 +2005-02-28,Magnetization dynamics of two interacting spins in an external magnetic field,"The longitudinal relaxation time of the magnetization of a system of two +exchange coupled spins subjected to a strong magnetic field is calculated +exactly by averaging the stochastic Gilbert-Landau-Lifshitz equation for the +magnetization, i.e., the Langevin equation of the process, over its +realizations so reducing the problem to a system of linear +differential-recurrence relations for the statistical moments (averaged +spherical harmonics). The system is solved in the frequency domain by matrix +continued fractions yielding the complete solution of the two-spin problem in +external fields for all values of the damping and barrier height parameters. +The magnetization relaxation time extracted from the exact solution is compared +with the inverse relaxation rate from Langer's theory of the decay of +metastable states, which yields in the high barrier and intermediate-to-high +damping limits the asymptotic behaviour of the greatest relaxation time.",0502661v2 +2007-06-28,Coherent Magnetization Precession in GaMnAs induced by Ultrafast Optical Excitation,"We use femtosecond optical pulses to induce, control and monitor +magnetization precession in ferromagnetic Ga0.965Mn0.035As. At temperatures +below ~40 K we observe coherent oscillations of the local Mn spins, triggered +by an ultrafast photoinduced reorientation of the in-plane easy axis. The +amplitude saturation of the oscillations above a certain pump intensity +indicates that the easy axis remains unchanged above ~TC/2. We find that the +observed magnetization precession damping (Gilbert damping) is strongly +dependent on pump laser intensity, but largely independent on ambient +temperature. We provide a physical interpretation of the observed light-induced +collective Mn-spin relaxation and precession.",0706.4270v2 +2008-02-14,Light-induced magnetization precession in GaMnAs,"We report dynamics of the transient polar Kerr rotation (KR) and of the +transient reflectivity induced by femtosecond laser pulses in ferromagnetic +(Ga,Mn)As with no external magnetic field applied. It is shown that the +measured KR signal consist of several different contributions, among which only +the oscillatory signal is directly connected with the ferromagnetic order in +(Ga,Mn)As. The origin of the light-induced magnetization precession is +discussed and the magnetization precession damping (Gilbert damping) is found +to be strongly influenced by annealing of the sample.",0802.2043v2 +2008-09-17,Spin-transfer torque induced reversal in magnetic domains,"Using the complex stereographic variable representation for the macrospin, +from a study of the nonlinear dynamics underlying the generalized +Landau-Lifshitz(LL) equation with Gilbert damping, we show that the +spin-transfer torque is effectively equivalent to an applied magnetic field. We +study the macrospin switching on a Stoner particle due to spin-transfer torque +on application of a spin polarized current. We find that the switching due to +spin-transfer torque is a more effective alternative to switching by an applied +external field in the presence of damping. We demonstrate numerically that a +spin-polarized current in the form of a short pulse can be effectively employed +to achieve the desired macro-spin switching.",0809.2910v1 +2009-12-30,Spin torque and critical currents for magnetic vortex nano-oscillator in nanopillars,"We calculated the main dynamic parameters of the spin polarized current +induced magnetic vortex oscillations in nanopillars, such as the range of +current density, where a vortex steady oscillations exist, the oscillation +frequency and orbit radius. We accounted for both the non-linear vortex +frequency and non-linear vortex damping. To describe the vortex excitations by +the spin polarized current we used a generalized Thiele approach to motion of +the vortex core as a collective coordinate. All the calculation results are +represented via the free layer sizes, saturation magnetization, Gilbert damping +and the degree of the spin polarization of the fixed layer. Predictions of the +developed model can be checked experimentally.",0912.5521v1 +2010-10-01,Ferromagnetic resonance study of Co/Pd/Co/Ni multilayers with perpendicular anisotropy irradiated with Helium ions,"We present a ferromagnetic resonance (FMR) study of the effect of Helium ion +irradiation on the magnetic anisotropy, the linewidth and the Gilbert damping +of a Co/Ni multilayer coupled to Co/Pd bilayers. The perpendicular magnetic +anisotropy decreases linearly with He ion fluence, leading to a transition to +in-plane magnetization at a critical fluence of 5x10^{14} ions/cm^2. We find +that the damping is nearly independent of fluence but the FMR linewidth at +fixed frequency has a maximum near the critical fluence, indicating that the +inhomogeneous broadening of the FMR line is a non-monotonic function of the He +ion fluence. Based on an analysis of the angular dependence of the FMR +linewidth, the inhomogeneous broadening is associated with spatial variations +in the magnitude of the perpendicular magnetic anisotropy. These results +demonstrate that ion irradiation may be used to systematically modify the +magnetic anisotropy and distribution of magnetic anisotropy parameters of +Co/Pd/Co/Ni multilayers for applications and basic physics studies.",1010.0268v2 +2010-11-23,Ultra-fast magnetisation rates within the Landau-Lifshitz-Bloch model,"The ultra-fast magnetisation relaxation rates during the laser-induced +magnetisation process are analyzed in terms of the Landau-Lifshitz-Bloch (LLB) +equation for different values of spin $S$. The LLB equation is equivalent in +the limit $S \rightarrow \infty$ to the atomistic Landau-Lifshitz-Gilbert (LLG) +Langevin dynamics and for $S=1/2$ to the M3TM model [B. Koopmans, {\em et al.} +Nature Mat. \textbf{9} (2010) 259]. Within the LLB model the ultra-fast +demagnetisation time ($\tau_{M}$) and the transverse damping ($\alpha_{\perp}$) +are parameterized by the intrinsic coupling-to-the-bath parameter $\lambda$, +defined by microscopic spin-flip rate. We show that for the phonon-mediated +Elliott-Yafet mechanism, $\lambda$ is proportional to the ratio between the +non-equilibrium phonon and electron temperatures. + We investigate the influence of the finite spin number and the scattering +rate parameter $\lambda$ on the magnetisation relaxation rates. The relation +between the fs demagnetisation rate and the LLG damping, provided by the LLB +theory, is checked basing on the available experimental data. A good agreement +is obtained for Ni, Co and Gd favoring the idea that the same intrinsic +scattering process is acting on the femtosecond and nanosecond timescale.",1011.5054v1 +2011-10-15,Atomistic spin dynamic method with both damping and moment of inertia effects included from first principles,"We consider spin dynamics for implementation in an atomistic framework and we +address the feasibility of capturing processes in the femtosecond regime by +inclusion of moment of inertia. In the spirit of an {\it s-d} -like interaction +between the magnetization and electron spin, we derive a generalized equation +of motion for the magnetization dynamics in the semi-classical limit, which is +non-local in both space and time. Using this result we retain a generalized +Landau-Lifshitz-Gilbert equation, also including the moment of inertia, and +demonstrate how the exchange interaction, damping, and moment of inertia, all +can be calculated from first principles.",1110.3387v2 +2011-10-24,CoB/Ni-Based Multilayer Nanowire with High-Speed Domain Wall Motion under Low Current Control,"The spin-transfer torque motion of magnetic domain walls (DWs) in a +CoB/Ni-based nanowire driven by a low current density of +(1.12\pm0.8)\times10^{11} A m^{-2} has been observed indirectly by +magnetotransport measurements. A high DW velocity of 85\pm4 m/s at zero field +was measured at the threshold current density. Upon increasing the current +density to 2.6\times10^{11} A m^{-2}, the DW velocity increases to 197\pm16 m/s +before decreasing quickly in the high-current-density regime attributed to +nonadiabatic spin-transfer torque at a low damping factor and weak pinning. The +addition of B atoms to the Co layers decreased the magnitude of saturation +magnetization, Gilbert damping factor, and density of pinning sites, making the +CoB/Ni multilayer nanowire favorable for practical applications.",1110.5112v3 +2013-07-10,"Scaling of spin Hall angle in 3d, 4d and 5d metals from Y3Fe5O12/metal spin pumping","Pure spin currents generated by spin pumping in ferromagnet/nonmagnet (FM/NM) +bilayers produce inverse spin Hall effect (ISHE) voltages in the NM, from which +spin pumping and transport characteristics of the NM can be extracted. Due to +its exceptionally low damping, Y3Fe5O12 (YIG) is an important and widely used +FM for microwave devices and ferromagnetic resonance (FMR) spin pumping. Here +we report systematic investigation of spin pumping from 20-nm thick YIG thin +films to a series of 3d, 4d and 5d normal metals (Cu, Ag, Ta, W, Pt and Au) +with various spin-orbit coupling strengths. From enhanced Gilbert damping +obtained from the frequency dependence of FMR linewidths and ISHE signals, the +spin Hall angles and YIG/NM interfacial spin mixing conductances are +quantitatively determined for these metals. The spin Hall angles largely vary +as the fourth power of the atomic number, corroborating the dominant role of +spin-orbit coupling across a broad range in the inverse spin Hall effect.",1307.2648v2 +2016-04-16,A broadband Ferromagnetic Resonance dipper probe for magnetic damping measurements from 4.2 K to 300 K,"A dipper probe for broadband Ferromagnetic Resonance (FMR) operating from 4.2 +K to room temperature is described. The apparatus is based on a 2-port +transmitted microwave signal measurement with a grounded coplanar waveguide. +The waveguide generates a microwave field and records the sample response. A +3-stage dipper design is adopted for fast and stable temperature control. The +temperature variation due to FMR is in the milli-Kelvin range at liquid helium +temperature. We also designed a novel FMR probe head with a spring-loaded +sample holder. Improved signal-to-noise ratio and stability compared to a +common FMR head are achieved. Using a superconducting vector magnet we +demonstrate Gilbert damping measurements on two thin film samples using a +vector network analyzer with frequency up to 26 GHz: 1) A Permalloy film of 5 +nm thickness and 2) a CoFeB film of 1.5 nm thickness. Experiments were +performed with the applied magnetic field parallel and perpendicular to the +film plane.",1604.04688v1 +2016-05-27,A reduced model for precessional switching of thin-film nanomagnets under the influence of spin-torque,"We study the magnetization dynamics of thin-film magnetic elements with +in-plane magnetization subject to a spin-current flowing perpendicular to the +film plane. We derive a reduced partial differential equation for the in-plane +magnetization angle in a weakly damped regime. We then apply this model to +study the experimentally relevant problem of switching of an elliptical element +when the spin-polarization has a component perpendicular to the film plane, +restricting the reduced model to a macrospin approximation. The macrospin +ordinary differential equation is treated analytically as a weakly damped +Hamiltonian system, and an orbit-averaging method is used to understand +transitions in solution behaviors in terms of a discrete dynamical system. The +predictions of our reduced model are compared to those of the full +Landau--Lifshitz--Gilbert--Slonczewski equation for a macrospin.",1605.08698v1 +2016-07-05,Magnetic moment of inertia within the breathing model,"An essential property of magnetic devices is the relaxation rate in magnetic +switching which strongly depends on the energy dissipation and magnetic inertia +of the magnetization dynamics. Both parameters are commonly taken as a +phenomenological entities. However very recently, a large effort has been +dedicated to obtain Gilbert damping from first principles. In contrast, there +is no ab initio study that so far has reproduced measured data of magnetic +inertia in magnetic materials. In this letter, we present and elaborate on a +theoretical model for calculating the magnetic moment of inertia based on the +torque-torque correlation model. Particularly, the method has been applied to +bulk bcc Fe, fcc Co and fcc Ni in the framework of the tight-binding +approximation and the numerical values are comparable with recent experimental +measurements. The theoretical results elucidate the physical origin of the +moment of inertia based on the electronic structure. Even though the moment of +inertia and damping are produced by the spin-orbit coupling, our analysis shows +that they are caused by undergo different electronic structure mechanisms.",1607.01307v1 +2016-10-14,Nambu mechanics for stochastic magnetization dynamics,"The Landau-Lifshitz-Gilbert (LLG) equation describes the dynamics of a damped +magnetization vector that can be understood as a generalization of Larmor spin +precession. The LLG equation cannot be deduced from the Hamiltonian framework, +by introducing a coupling to a usual bath, but requires the introduction of +additional constraints. It is shown that these constraints can be formulated +elegantly and consistently in the framework of dissipative Nambu mechanics. +This has many consequences for both the variational principle and for +topological aspects of hidden symmetries that control conserved quantities. We +particularly study how the damping terms of dissipative Nambu mechanics affect +the consistent interaction of magnetic systems with stochastic reservoirs and +derive a master equation for the magnetization. The proposals are supported by +numerical studies using symplectic integrators that preserve the topological +structure of Nambu equations. These results are compared to computations +performed by direct sampling of the stochastic equations and by using closure +assumptions for the moment equations, deduced from the master equation.",1610.04598v2 +2017-01-31,"Lack of correlation between the spin mixing conductance and the ISHE-generated voltages in CoFeB/Pt,Ta bilayers","We investigate spin pumping phenomena in polycrystalline CoFeB/Pt and +CoFeB/Ta bilayers and the correlation between the effective spin mixing +conductance $g^{\uparrow\downarrow}_{\rm eff}$ and the obtained voltages +generated by the spin-to-charge current conversion via the inverse spin Hall +effect in the Pt and Ta layers. For this purpose we measure the in-plane +angular dependence of the generated voltages on the external static magnetic +field and we apply a model to separate the spin pumping signal from the one +generated by the spin rectification effect in the magnetic layer. Our results +reveal a dominating role of anomalous Hall effect for the spin rectification +effect with CoFeB and a lack of correlation between +$g^{\uparrow\downarrow}_{\rm eff}$ and inverse spin Hall voltages pointing to a +strong role of the magnetic proximity effect in Pt in understanding the +observed increased damping. This is additionally reflected on the presence of a +linear dependency of the Gilbert damping parameter on the Pt thickness.",1701.09110v1 +2018-06-02,Ultra-low damping insulating magnetic thin films get perpendicular,"A magnetic material combining low losses and large Perpendicular Magnetic +Anisotropy (PMA) is still a missing brick in the magnonic and spintronic +fields. We report here on the growth of ultrathin Bismuth doped +Y$_{3}$Fe$_{5}$O$_{12}$ (BiYIG) films on Gd$_{3}$Ga$_{5}$O$_{12}$ (GGG) and +substituted GGG (sGGG) (111) oriented substrates. A fine tuning of the PMA is +obtained using both epitaxial strain and growth induced anisotropies. Both +spontaneously in-plane and out-of-plane magnetized thin films can be +elaborated. Ferromagnetic Resonance (FMR) measurements demonstrate the high +dynamic quality of these BiYIG ultrathin films, PMA films with Gilbert damping +values as low as 3 10$^{-4}$ and FMR linewidth of 0.3 mT at 8 GHz are achieved +even for films that do not exceed 30 nm in thickness. Moreover, we measure +Inverse Spin Hall Effect (ISHE) on Pt/BiYIG stacks showing that the magnetic +insulator$'$s surface is transparent to spin current making it appealing for +spintronic applications.",1806.00658v1 +2018-06-12,"Dynamical and current-induced Dzyaloshinskii-Moriya interaction: Role for damping, gyromagnetism, and current-induced torques in noncollinear magnets","Both applied electric currents and magnetization dynamics modify the +Dzyaloshinskii-Moriya interaction (DMI), which we call current-induced DMI +(CIDMI) and dynamical DMI (DDMI), respectively. We report a theory of CIDMI and +DDMI. The inverse of CIDMI consists in charge pumping by a time-dependent +gradient of magnetization $\partial^2 M(r,t)/\partial r\partial t$, while the +inverse of DDMI describes the torque generated by $\partial^2 M(r,t)/\partial +r\partial t$. In noncollinear magnets CIDMI and DDMI depend on the local +magnetization direction. The resulting spatial gradients correspond to torques +that need to be included into the theories of Gilbert damping, gyromagnetism, +and current-induced torques (CITs) in order to satisfy the Onsager reciprocity +relations. CIDMI is related to the modification of orbital magnetism induced by +magnetization dynamics, which we call dynamical orbital magnetism (DOM), and +spatial gradients of DOM contribute to charge pumping. We present applications +of this formalism to the CITs and to the torque-torque correlation in textured +Rashba ferromagnets.",1806.04782v3 +2018-03-04,Optimization of Time-Resolved Magneto-optical Kerr Effect Signals for Magnetization Dynamics Measurements,"Recently magnetic storage and magnetic memory have shifted towards the use of +magnetic thin films with perpendicular magnetic anisotropy (PMA). Understanding +the magnetic damping in these materials is crucial, but normal Ferromagnetic +Resonance (FMR) measurements face some limitations. The desire to quantify the +damping in materials with PMA has resulted in the adoption of Time-Resolved +Magneto-optical Kerr Effect (TR-MOKE) measurements. In this paper, we discuss +the angle and field dependent signals in TR-MOKE, and utilize a numerical +algorithm based on the Landau-Lifshitz-Gilbert (LLG) equation to provide +information on the optimal conditions to run TR-MOKE measurements.",1803.01280v2 +2012-09-17,Nonlinear emission of spin-wave caustics from an edge mode of a micro-structured Co2Mn0.6Fe0.4Si waveguide,"Magnetic Heusler materials with very low Gilbert damping are expected to show +novel magnonic transport phenomena. We report nonlinear generation of higher +harmonics leading to the emission of caustic spin-wave beams in a low-damping, +micro-structured Co2Mn0.6Fe0.4Si Heusler waveguide. The source for the higher +harmonic generation is a localized edge mode formed by the strongly +inhomogeneous field distribution at the edges of the spin-wave waveguide. The +radiation characteristics of the propagating caustic waves observed at twice +and three times the excitation frequency are described by an analytical +calculation based on the anisotropic dispersion of spin waves in a magnetic +thin film.",1209.3669v2 +2019-09-10,Spin Pumping from Permalloy into Uncompensated Antiferromagnetic Co doped Zinc Oxide,"Heterostructures of Co-doped ZnO and Permalloy were investigated for their +static and dynamic magnetic interaction. The highly Co-doped ZnO is +paramagentic at room temperature and becomes an uncompensated antiferromagnet +at low temperatures, showing a narrowly opened hysteresis and a vertical +exchange bias shift even in the absence of any ferromagnetic layer. At low +temperatures in combination with Permalloy an exchange bias is found causing a +horizontal as well as vertical shift of the hysteresis of the heterostructure +together with an increase in coercive field. Furthermore, an increase in the +Gilbert damping parameter at room temperature was found by multifrequency FMR +evidencing spin pumping. Temperature dependent FMR shows a maximum in magnetic +damping close to the magnetic phase transition. These measurements also +evidence the exchange bias interaction of Permalloy and long-range ordered +Co-O-Co structures in ZnO, that are barely detectable by SQUID due to the +shorter probing times in FMR.",1909.04362v3 +2021-05-16,Anatomy of inertial magnons in ferromagnets,"We analyze dispersion relations of magnons in ferromagnetic nanostructures +with uniaxial anisotropy taking into account inertial terms, i.e. magnetic +nutation. Inertial effects are parametrized by damping-independent parameter +$\beta$, which allows for an unambiguous discrimination of inertial effects +from Gilbert damping parameter $\alpha$. The analysis of magnon dispersion +relation shows its two branches are modified by the inertial effect, albeit in +different ways. The upper nutation branch starts at $\omega=1/ \beta$, the +lower branch coincides with FMR in the long-wavelength limit and deviates from +the zero-inertia parabolic dependence $\simeq\omega_{FMR}+Dk^2$ of the exchange +magnon. Taking a realistic experimental geometry of magnetic thin films, +nanowires and nanodiscs, magnon eigenfrequencies, eigenvectors and $Q$-factors +are found to depend on the shape anisotropy. The possibility of phase-matched +magneto-elastic excitation of nutation magnons is discussed and the condition +was found to depend on $\beta$, exchange stiffness $D$ and the acoustic +velocity.",2105.07376v1 +2013-11-25,Spin-wave excitation and propagation in microstructured waveguides of yttrium iron garnet (YIG)/Pt bilayers,"We present an experimental study of spin-wave excitation and propagation in +microstructured waveguides patterned from a 100 nm thick yttrium iron garnet +(YIG)/platinum (Pt) bilayer. The life time of the spin waves is found to be +more than an order of magnitude higher than in comparably sized metallic +structures despite the fact that the Pt capping enhances the Gilbert damping. +Utilizing microfocus Brillouin light scattering spectroscopy, we reveal the +spin-wave mode structure for different excitation frequencies. An exponential +spin-wave amplitude decay length of 31 {\mu}m is observed which is a +significant step towards low damping, insulator based micro-magnonics.",1311.6305v1 +2016-06-21,Torsion Effects and LLG Equation,"Based on the non-relativistic regime of the Dirac equation coupled to a +torsion pseudo-vector, we study the dynamics of magnetization and how it is +affected by the presence of torsion. We consider that torsion interacting terms +in Dirac equation appear in two ways one of these is thhrough the covariant +derivative considering the spin connection and gauge magnetic field and the +other is through a non-minimal spin torsion coupling. We show within this +framework, that it is possible to obtain the most general Landau, Lifshitz and +Gilbert (LLG) equation including the torsion effects, where we refer to torsion +as a geometric field playing an important role in the spin coupling process. We +show that the torsion terms can give us two important landscapes in the +magnetization dynamics: one of them related with damping and the other related +with the screw dislocation that give us a global effect like a helix damping +sharped. These terms are responsible for changes in the magnetization +precession dynamics.",1606.06610v1 +2018-05-04,Superparamagnetic Relaxation Driven by Colored Noise,"A theoretical investigation of magnetic relaxation processes in single domain +particles driven by colored noise is presented. Two approaches are considered; +the Landau-Lifshitz-Miyazaki-Seki equation, which is a Langevin dynamics model +based on the introduction of an Ornstein-Uhlenbeck correlated noise into the +Landau-Lifshitz-Gilbert equation and a Generalized Master Equation approach +whereby the ordinary Master Equation is modified through the introduction of an +explicit memory kernel. It is found that colored noise is likely to become +important for high anisotropy materials where the characteristic system time, +in this case the inverse Larmor precession frequency, becomes comparable to the +correlation time. When the escape time is much longer than the correlation +time, the relaxation profile of the spin has a similar exponential form to the +ordinary LLG equation, while for low barrier heights and intermediate damping, +for which the correlation time is a sizable fraction of the escape time, an +unusual bi-exponential decay is predicted as a characteristic of colored noise. +At very high damping and correlation times, the time profile of the spins +exhibits a more complicated, noisy trajectory.",1805.01776v2 +2020-02-27,Ultrafast magnetization dynamics in half-metallic Co$_2$FeAl Heusler alloy,"We report on optically induced, ultrafast magnetization dynamics in the +Heusler alloy $\mathrm{Co_{2}FeAl}$, probed by time-resolved magneto-optical +Kerr effect. Experimental results are compared to results from electronic +structure theory and atomistic spin-dynamics simulations. Experimentally, we +find that the demagnetization time ($\tau_{M}$) in films of +$\mathrm{Co_{2}FeAl}$ is almost independent of varying structural order, and +that it is similar to that in elemental 3d ferromagnets. In contrast, the +slower process of magnetization recovery, specified by $\tau_{R}$, is found to +occur on picosecond time scales, and is demonstrated to correlate strongly with +the Gilbert damping parameter ($\alpha$). Our results show that +$\mathrm{Co_{2}FeAl}$ is unique, in that it is the first material that clearly +demonstrates the importance of the damping parameter in the remagnetization +process. Based on these results we argue that for $\mathrm{Co_{2}FeAl}$ the +remagnetization process is dominated by magnon dynamics, something which might +have general applicability.",2002.12255v1 +2020-06-05,Controlling the nonlinear relaxation of quantized propagating magnons in nanodevices,"Relaxation of linear magnetization dynamics is well described by the viscous +Gilbert damping processes. However, for strong excitations, nonlinear damping +processes such as the decay via magnon-magnon interactions emerge and trigger +additional relaxation channels. Here, we use space- and time-resolved +microfocused Brillouin light scattering spectroscopy and micromagnetic +simulations to investigate the nonlinear relaxation of strongly driven +propagating spin waves in yttrium iron garnet nanoconduits. We show that the +nonlinear magnon relaxation in this highly quantized system possesses +intermodal features, i.e., magnons scatter to higher-order quantized modes +through a cascade of scattering events. We further show how to control such +intermodal dissipation processes by quantization of the magnon band in +single-mode devices, where this phenomenon approaches its fundamental limit. +Our study extends the knowledge about nonlinear propagating spin waves in +nanostructures which is essential for the construction of advanced spin-wave +elements as well as the realization of Bose-Einstein condensates in scaled +systems.",2006.03400v2 +2022-10-01,Nonlinear features of the superconductor--ferromagnet--superconductor $\varphi_0$ Josephson junction in ferromagnetic resonance region,"We demonstrate the manifestations of the nonlinear features in magnetic +dynamics and IV-characteristics of the $\varphi_0$ Josephson junction in the +ferromagnetic resonance region. We show that at small values of system +parameters, namely, damping, spin-orbit interaction, and Josephson to magnetic +energy ratio, the magnetic dynamics is reduced to the dynamics of the scalar +Duffing oscillator, driven by the Josephson oscillations. The role of +increasing superconducting current in the resonance region is clarified. +Shifting of the ferromagnetic resonant frequency and the reversal of its +damping dependence due to nonlinearity are demonstrated by the full +Landau-Lifshitz-Gilbert-Josephson system of equations, and in its different +approximations. Finally, we demonstrate the negative differential resistance in +the IV--characteristics, and its correlation with the foldover effect.",2210.00366v1 +2023-12-16,Spin-torque nano-oscillator based on two in-plane magnetized synthetic ferrimagnets,"We report the dynamic characterization of the spin-torque-driven in-plane +precession modes of a spin-torque nano-oscillator based on two different +synthetic ferrimagnets: a pinned one characterized by a strong RKKY interaction +which is exchange coupled to an antiferromagnetic layer; and a second one, +non-pinned characterized by weak RKKY coupling. The microwave properties +associated with the steady-state precession of both SyFs are characterized by +high spectral purity and power spectral density. However, frequency dispersion +diagrams of the damped and spin transfer torque modes reveal drastically +different dynamical behavior and microwave emission properties in both SyFs. In +particular, the weak coupling between the magnetic layers of the non-pinned SyF +raises discontinuous dispersion diagrams suggesting a strong influence of mode +crossing. An interpretation of the different dynamical features observed in the +damped and spin torque modes of both SyF systems was obtained by solving +simultaneously, in a macrospin approach, a linearized version of the +Landau-Lifshitz-Gilbert equation including the spin transfer torque term.",2312.10451v2 +1997-07-23,Riccati parameter modes from Newtonian free damping motion by supersymmetry,"We determine the class of damped modes \tilde{y} which are related to the +common free damping modes y by supersymmetry. They are obtained by employing +the factorization of Newton's differential equation of motion for the free +damped oscillator by means of the general solution of the corresponding Riccati +equation together with Witten's method of constructing the supersymmetric +partner operator. This procedure leads to one-parameter families of (transient) +modes for each of the three types of free damping, corresponding to a +particular type of %time-dependent angular frequency. %time-dependent, +antirestoring acceleration (adding up to the usual Hooke restoring +acceleration) of the form a(t)=\frac{2\gamma ^2}{(\gamma t+1)^{2}}\tilde{y}, +where \gamma is the family parameter that has been chosen as the inverse of the +Riccati integration constant. In supersymmetric terms, they represent all those +one Riccati parameter damping modes having the same Newtonian free damping +partner mode",9707019v4 +2018-03-29,Giant resonant nonlinear damping in nanoscale ferromagnets,"Magnetic damping is a key metric for emerging technologies based on magnetic +nanoparticles, such as spin torque memory and high-resolution biomagnetic +imaging. Despite its importance, understanding of magnetic dissipation in +nanoscale ferromagnets remains elusive, and the damping is often treated as a +phenomenological constant. Here we report the discovery of a giant +frequency-dependent nonlinear damping that strongly alters the response of a +nanoscale ferromagnet to spin torque and microwave magnetic field. This novel +damping mechanism originates from three-magnon scattering that is strongly +enhanced by geometric confinement of magnons in the nanomagnet. We show that +the giant nonlinear damping can invert the effect of spin torque on a +nanomagnet leading to a surprising current-induced enhancement of damping by an +antidamping torque. Our work advances understanding of magnetic dynamics in +nanoscale ferromagnets and spin torque devices.",1803.10925v1 +2014-01-15,Damping of Terahertz Plasmons in Graphene Coupled with Surface Plasmons in Heavily-Doped Substrate,"Coupling of plasmons in graphene at terahert (THz) frequencies with surface +plasmons in a heavily-doped substrate is studied theoretically. We reveal that +a huge scattering rate may completely damp out the plasmons, so that proper +choices of material and geometrical parameters are essential to suppress the +coupling effect and to obtain the minimum damping rate in graphene. Even with +the doping concentration 10^{19} - 10^{20} cm^{-3} and the thickness of the +dielectric layer between graphene and the substrate 100 nm, which are typical +values in real graphene samples with a heavily-doped substrate, the increase in +the damping rate is not negligible in comparison with the +acoustic-phonon-limited damping rate. Dependence of the damping rate on +wavenumber, thicknesses of graphene-to-substrate and gate-to-graphene +separation, substrate doping concentration, and dielectric constants of +surrounding materials are investigated. It is shown that the damping rate can +be much reduced by the gate screening, which suppresses the field spread of the +graphene plasmons into the substrate.",1401.3396v1 +2003-09-09,Traveling solitons in the damped driven nonlinear Schrödinger equation,"The well known effect of the linear damping on the moving nonlinear +Schr\""odinger soliton (even when there is a supply of energy via the spatially +homogeneous driving) is to quench its momentum to zero. Surprisingly, the zero +momentum does not necessarily mean zero velocity. We show that two or more +parametrically driven damped solitons can form a complex traveling with zero +momentum at a nonzero constant speed. + All traveling complexes we have found so far, turned out to be unstable. +Thus, the parametric driving is capable of sustaining the uniform motion of +damped solitons, but some additional agent is required to stabilize it.",0309031v1 +2007-08-28,Linear frictional forces cause orbits to neither circularize nor precess,"For the undamped Kepler potential the lack of precession has historically +been understood in terms of the Runge-Lenz symmetry. For the damped Kepler +problem this result may be understood in terms of the generalization of Poisson +structure to damped systems suggested recently by Tarasov[1]. In this +generalized algebraic structure the orbit-averaged Runge-Lenz vector remains a +constant in the linearly damped Kepler problem to leading order in the damping +coe",0708.3827v3 +2008-12-11,Frequency-dependent Drude damping in Casimir force calculations,"The Casimir force is calculated between Au thin films that are described by a +Drude model with a frequency dependent damping function. The model parameters +are obtained from available experimental data for Au thin films. Two cases are +considered; annealed and nonannealed films that have a different damping +function. Compared with the calculations using a Drude model with a constant +damping parameter, we observe changes in the Casimir force of a few percent. +This behavior is only observed in films of no more than 300 $\AA$ thick.",0812.2209v1 +2009-11-05,Bloch oscillations in lattice potentials with controlled aperiodicity,"We numerically investigate the damping of Bloch oscillations in a +one-dimensional lattice potential whose translational symmetry is broken in a +systematic manner, either by making the potential bichromatic or by introducing +scatterers at distinct lattice sites. We find that the damping strongly depends +on the ratio of lattice constants in the bichromatic potential, and that even a +small concentration of scatterers can lead to strong damping. Moreover, +mean-field interactions are able to counteract aperiodicity-induced damping of +Bloch oscillations.",0911.1108v3 +2012-05-11,On radiative damping in plasma-based accelerators,"Radiative damping in plasma-based electron accelerators is analyzed. The +electron dynamics under combined influence of the constant accelerating force +and the classical radiation reaction force is studied. It is shown that +electron acceleration cannot be limited by radiation reaction. If initially the +accelerating force was stronger than the radiation reaction force then the +electron acceleration is unlimited. Otherwise the electron is decelerated by +radiative damping up to a certain instant of time and then accelerated without +limits. Regardless of the initial conditions the infinite-time asymptotic +behavior of an electron is governed by self-similar solution providing +unlimited acceleration. The relative energy spread induced by the radiative +damping decreases with time in the infinite-time limit.",1205.2436v1 +2016-05-23,Large time behaivor of global solutions to nonlinear wave equations with frictional and viscoelastic damping terms,"In this paper, we study the Cauchy problem for a nonlinear wave equation with +frictional and viscoelastic damping terms. As is pointed out by [8], in this +combination, the frictional damping term is dominant for the viscoelastic one +for the global dynamics of the linear equation. In this note we observe that if +the initial data is small, the frictional damping term is again dominant even +in the nonlinear equation case. In other words, our main result is diffusion +phenomena: the solution is approximated by the heat kernel with a suitable +constant. Our proof is based on several estimates for the corresponding linear +equations.",1605.07232v1 +2021-02-28,Stability for an inverse source problem of the damped biharmonic plate equation,"This paper is concerned with the stability of the inverse source problem for +the damped biharmonic plate equation in three dimensions. The stability +estimate consists of the Lipschitz type data discrepancy and the high frequency +tail of the source function, where the latter decreases as the upper bound of +the frequency increases. The stability also shows exponential dependence on the +constant damping coefficient. The analysis employs Carleman estimates and time +decay estimates for the damped plate wave equation to obtain an exact +observability bound and depends on the study of the resonance-free region and +an upper bound of the resolvent of the biharmonic operator with respect to the +complex wavenumber.",2103.00461v1 +2013-08-17,Thickness and power dependence of the spin-pumping effect in Y3Fe5O12/Pt heterostructures measured by the inverse spin Hall effect,"The dependence of the spin-pumping effect on the yttrium iron garnet +(Y3Fe5O12, YIG) thickness detected by the inverse spin Hall effect (ISHE) has +been investigated quantitatively. Due to the spin-pumping effect driven by the +magnetization precession in the ferrimagnetic insulator YIG film a +spin-polarized electron current is injected into the Pt layer. This spin +current is transformed into electrical charge current by means of the ISHE. An +increase of the ISHE-voltage with increasing film thickness is observed and +compared to the theoretically expected behavior. The effective damping +parameter of the YIG/Pt samples is found to be enhanced with decreasing YIG +film thickness. The investigated samples exhibit a spin mixing conductance of +g=(7.43 \pm 0.36) \times 10^{18} m^{-2} and a spin Hall angle of theta_{ISHE} = +0.009 \pm 0.0008. Furthermore, the influence of nonlinear effects on the +generated voltage and on the Gilbert damping parameter at high excitation +powers are revealed. It is shown that for small YIG film thicknesses a +broadening of the linewidth due to nonlinear effects at high excitation powers +is suppressed because of a lack of nonlinear multi-magnon scattering channels. +We have found that the variation of the spin-pumping efficiency for thick YIG +samples exhibiting pronounced nonlinear effects is much smaller than the +nonlinear enhancement of the damping.",1308.3787v1 +2020-05-28,Spintronics meets nonadiabatic molecular dynamics: Geometric spin torque and damping on noncollinear classical magnetism due to electronic open quantum system,"We analyze a quantum-classical hybrid system of steadily precessing slow +classical localized magnetic moments, forming a head-to-head domain wall, +embedded into an open quantum system of fast nonequilibrium electrons. The +electrons reside within a metallic wire connected to macroscopic reservoirs. +The model captures the essence of dynamical noncollinear and noncoplanar +magnetic textures in spintronics, while making it possible to obtain the exact +time-dependent nonequilibrium density matrix of electronic system and split it +into four contributions. The Fermi surface contribution generates dissipative +(or damping-like in spintronics terminology) spin torque on the moments, and +one of the two Fermi sea contributions generates geometric torque dominating in +the adiabatic regime. When the coupling to the reservoirs is reduced, the +geometric torque is the only nonzero contribution. Locally it has both +nondissipative (or field-like in spintronics terminology) and damping-like +components, but with the sum of latter being zero, which act as the +counterparts of geometric magnetism force and electronic friction in +nonadiabatic molecular dynamics. Such current-independent geometric torque is +absent from widely used micromagnetics or atomistic spin dynamics modeling of +magnetization dynamics based on the Landau-Lifshitz-Gilbert equation, where +previous analysis of Fermi surface-type torque has severely underestimated its +magnitude.",2005.14153v2 +2020-09-29,Structural Phase Dependent Giant Interfacial Spin Transparency in W/CoFeB Thin Film Heterostructure,"Pure spin current has transfigured the energy-efficient spintronic devices +and it has the salient characteristic of transport of the spin angular +momentum. Spin pumping is a potent method to generate pure spin current and for +its increased efficiency high effective spin-mixing conductance (Geff) and +interfacial spin transparency (T) are essential. Here, a giant T is reported in +Sub/W(t)/Co20Fe60B20(d)/SiO2(2 nm) heterostructures in \beta-tungsten (\beta-W) +phase by employing all-optical time-resolved magneto-optical Kerr effect +technique. From the variation of Gilbert damping with W and CoFeB thicknesses, +the spin diffusion length of W and spin-mixing conductances are extracted. +Subsequently, T is derived as 0.81 \pm 0.03 for the \beta-W/CoFeB interface. A +sharp variation of Geff and T with W thickness is observed in consonance with +the thickness-dependent structural phase transition and resistivity of W. The +spin memory loss and two-magnon scattering effects are found to have negligible +contributions to damping modulation as opposed to spin pumping effect which is +reconfirmed from the invariance of damping with Cu spacer layer thickness +inserted between W and CoFeB. The observation of giant interfacial spin +transparency and its strong dependence on crystal structures of W will be +important for pure spin current based spin-orbitronic devices.",2009.14143v1 +2023-12-31,Molecular Hybridization Induced Antidamping and Sizable Enhanced Spin-to-Charge Conversion in Co20Fe60B20/$β$-W/C60 Heterostructures,"Development of power efficient spintronics devices has been the compelling +need in the post-CMOS technology era. The effective tunability of +spin-orbit-coupling (SOC) in bulk and at the interfaces of hybrid materials +stacking is a prerequisite for scaling down the dimension and power consumption +of these devices. In this work, we demonstrate the strong chemisorption of C60 +molecules when grown on the high SOC $\beta$-W layer. The parent CFB/$\beta$-W +bilayer exhibits large spin-to-charge interconversion efficiency, which can be +ascribed to the interfacial SOC observed at the Ferromagnet/Heavy metal +interface. Further, the adsorption of C60 molecules on $\beta$-W reduces the +effective Gilbert damping by $\sim$15% in the CFB/$\beta$-W/C60 +heterostructures. The anti-damping is accompanied by a gigantic $\sim$115% +enhancement in the spin-pumping induced output voltage owing to the molecular +hybridization. The non-collinear Density Functional Theory calculations confirm +the long-range enhancement of SOC of $\beta$-W upon the chemisorption of C60 +molecules, which in turn can also enhance the SOC at the CFB/$\beta$-W +interface in CFB/$\beta$-W/C60 heterostructures. The combined amplification of +bulk as well interfacial SOC upon molecular hybridization stabilizes the +anti-damping and enhanced spin-to-charge conversion, which can pave the way for +the fabrication of power efficient spintronics devices.",2401.00486v1 +2002-04-25,Statics and Fast Dynamics of Nanomagnets with Vortex Structure,"Within the framework of the Landau-Lifshitz-Gilbert equation, using permalloy +parameters, we study the statics and dynamics of flat circular magnetic +nano-structures with an in-plane magnetic vortex configuration, putting +particular emphasis on the (planar) vorticity of the magnetic state and on the +(perpendicular) polarisation of the vortex center (which may be shifted with +respect to the center of the circle). These binary degrees of freedom can in +principle be used to manipulate two independent bits of information. + Studying switching processes induced by in-plane and out-of plane field +pulses we find that it is possible to switch the vorticity of the magnetic dot +on a time scale of 40 ps in strong enough and short enough perpendicular +external field pulses (B_z^ext \approx 0.5 T, duration \approx 40 ps). But for +realistically small values of the Gilbert damping, only the vorticity can be +switched this fast, and it turns out that it is better to dismiss the center of +the circle totally, concentrating on flat 'nano-rings' with an inner radius R_1 +and an outer radius R_2. On these 'nano-rings' the vortex state is more stable, +and with respect to the switching of the vorticity these structures have +similar properties as circular dots.",0204541v3 +2007-03-15,Functional Keldysh Theory of Spin Torques,"We present a microscopic treatment of current-induced torques and thermal +fluctuations in itinerant ferromagnets based on a functional formulation of the +Keldysh formalism. We find that the nonequilibrium magnetization dynamics is +governed by a stochastic Landau-Lifschitz-Gilbert equation with spin transfer +torques. We calculate the Gilbert damping parameter $\alpha$ and the +non-adiabatic spin transfer torque parameter $\beta$ for a model ferromagnet. +We find that $\beta \neq \alpha$, in agreement with the results obtained using +imaginary-time methods of Kohno, Tatara and Shibata [J. Phys. Soc. Japan 75, +113706 (2006)]. We comment on the relationship between $s-d$ and +isotropic-Stoner toy models of ferromagnetism and more realistic +density-functional-theory models, and on the implications of these +relationships for predictions of the $\beta/\alpha$ ratio which plays a central +role in domain wall motion. Only for a single-parabolic-band isotropic-Stoner +model with an exchange splitting that is small compared to the Fermi energy +does $\beta/\alpha$ approach one. In addition, our microscopic formalism +incorporates naturally the fluctuations needed in a nonzero-temperature +description of the magnetization. We find that to first order in the applied +electric field, the usual form of thermal fluctuations via a phenomenological +stochastic magnetic field holds.",0703414v2 +2010-10-04,Thermal fluctuation field for current-induced domain wall motion,"Current-induced domain wall motion in magnetic nanowires is affected by +thermal fluctuation. In order to account for this effect, the +Landau-Lifshitz-Gilbert equation includes a thermal fluctuation field and +literature often utilizes the fluctuation-dissipation theorem to characterize +statistical properties of the thermal fluctuation field. However, the theorem +is not applicable to the system under finite current since it is not in +equilibrium. To examine the effect of finite current on the thermal +fluctuation, we adopt the influence functional formalism developed by Feynman +and Vernon, which is known to be a useful tool to analyze effects of +dissipation and thermal fluctuation. For this purpose, we construct a quantum +mechanical effective Hamiltonian describing current-induced domain wall motion +by generalizing the Caldeira-Leggett description of quantum dissipation. We +find that even for the current-induced domain wall motion, the statistical +properties of the thermal noise is still described by the +fluctuation-dissipation theorem if the current density is sufficiently lower +than the intrinsic critical current density and thus the domain wall tilting +angle is sufficiently lower than pi/4. The relation between our result and a +recent result, which also addresses the thermal fluctuation, is discussed. We +also find interesting physical meanings of the Gilbert damping alpha and the +nonadiabaticy parameter beta; while alpha characterizes the coupling strength +between the magnetization dynamics (the domain wall motion in this paper) and +the thermal reservoir (or environment), beta characterizes the coupling +strength between the spin current and the thermal reservoir.",1010.0478v2 +2015-06-03,Antidamping spin-orbit torque driven by spin-flip reflection mechanism on the surface of a topological insulator: A time-dependent nonequilibrium Green function approach,"Motivated by recent experiments observing spin-orbit torque (SOT) acting on +the magnetization $\vec{m}$ of a ferromagnetic (F) overlayer on the surface of +a three-dimensional topological insulator (TI), we investigate the origin of +the SOT and the magnetization dynamics in such systems. We predict that lateral +F/TI bilayers of finite length, sandwiched between two normal metal leads, will +generate a large antidamping-like SOT per very low charge current injected +parallel to the interface. The large values of antidamping-like SOT are {\it +spatially localized} around the transverse edges of the F overlayer. Our +analysis is based on adiabatic expansion (to first order in $\partial +\vec{m}/\partial t$) of time-dependent nonequilibrium Green functions (NEGFs), +describing electrons pushed out of equilibrium both by the applied bias voltage +and by the slow variation of a classical degree of freedom [such as +$\vec{m}(t)$]. From it we extract formulas for spin torque and charge pumping, +which show that they are reciprocal effects to each other, as well as Gilbert +damping in the presence of SO coupling. The NEGF-based formula for SOT +naturally splits into four components, determined by their behavior (even or +odd) under the time and bias voltage reversal. Their complex angular dependence +is delineated and employed within Landau-Lifshitz-Gilbert simulations of +magnetization dynamics in order to demonstrate capability of the predicted SOT +to efficiently switch $\vec{m}$ of a perpendicularly magnetized F overlayer.",1506.01303v3 +2015-07-11,"Realization of the thermal equilibrium in inhomogeneous magnetic systems by the Landau-Lifshitz-Gilbert equation with stochastic noise, and its dynamical aspects","It is crucially important to investigate effects of temperature on magnetic +properties such as critical phenomena, nucleation, pinning, domain wall motion, +coercivity, etc. The Landau-Lifshitz-Gilbert (LLG) equation has been applied +extensively to study dynamics of magnetic properties. Approaches of Langevin +noises have been developed to introduce the temperature effect into the LLG +equation. To have the thermal equilibrium state (canonical distribution) as the +steady state, the system parameters must satisfy some condition known as the +fluctuation-dissipation relation. In inhomogeneous magnetic systems in which +spin magnitudes are different at sites, the condition requires that the ratio +between the amplitude of the random noise and the damping parameter depends on +the magnitude of the magnetic moment at each site. Focused on inhomogeneous +magnetic systems, we systematically showed agreement between the stationary +state of the stochastic LLG equation and the corresponding equilibrium state +obtained by Monte Carlo simulations in various magnetic systems including +dipole-dipole interactions. We demonstrated how violations of the condition +result in deviations from the true equilibrium state. We also studied the +characteristic features of the dynamics depending on the choice of the +parameter set. All the parameter sets satisfying the condition realize the same +stationary state (equilibrium state). In contrast, different choices of +parameter set cause seriously different relaxation processes. We show two +relaxation types, i.e., magnetization reversals with uniform rotation and with +nucleation.",1507.03075v1 +2018-10-16,Superfluid spin transport in ferro- and antiferromagnets,"This paper focuses on spin superfluid transport, observation of which was +recently reported in antiferromagnet Cr$_2$O$_3$ [Yuan et al., Sci. Adv. 4, +eaat1098 (2018)]. This paper analyzes the role of dissipation in transformation +of spin current injected with incoherent magnons to a superfluid spin current +near the interface where spin is injected. The Gilbert damping parameter in the +Landau-Lifshitz-Gilbert theory does not describe dissipation properly, and the +dissipation parameters are calculated from the Boltzmann equation for magnons +scattered by defects. The two-fluid theory is developed similar to the +two-fluid theory for superfluids. This theory shows that the influence of +temperature variation in bulk on the superfluid spin transport (bulk Seebeck +effect) is weak at low temperatures. The scenario that the results of Yuan et +al. are connected with the Seebeck effect at the interface between the spin +detector and the sample is also discussed. + The Landau criterion for an antiferromagnet put in a magnetic field is +derived from the spectrum of collective spin modes. The Landau instability +starts in the gapped mode earlier than in the Goldstone gapless mode, in +contrast to easy-plane ferromagnets where the Goldstone mode becomes unstable. +The structure of the magnetic vortex in the geometry of the experiment is +determined. The vortex core has the skyrmion structure with finite +magnetization component normal to the magnetic field. This magnetization +creates stray magnetic fields around the exit point of the vortex line from the +sample, which can be used for experimental detection of vortices.",1810.07020v4 +2020-02-20,Stoner-Wohlfarth switching of the condensate magnetization in a dipolar spinor gas and the metrology of excitation damping,"We consider quasi-one-dimensional dipolar spinor Bose-Einstein condensates in +the homogeneous-local-spin-orientation approximation, that is with +unidirectional local magnetization. By analytically calculating the exact +effective dipole-dipole interaction, we derive a Landau-Lifshitz-Gilbert +equation for the dissipative condensate magnetization dynamics, and show how it +leads to the Stoner-Wohlfarth model of a uni-axial ferro-magnetic particle, +where the latter model determines the stable magnetization patterns and +hysteresis curves for switching between them. For an external magnetic field +pointing along the axial, long direction, we analytically solve the +Landau-Lifshitz-Gilbert equation. The solution explicitly demonstrates that the +magnetic dipole-dipole interaction {\it accelerates} the dissipative dynamics +of the magnetic moment distribution and the associated dephasing of the +magnetic moment direction. Under suitable conditions, dephasing of the +magnetization direction due to dipole-dipole interactions occurs within time +scales up to two orders of magnitude smaller than the lifetime of currently +experimentally realized dipolar spinor condensates, e.g., produced with the +large magnetic-dipole-moment atoms ${}^{166} \textrm{Er}$. This enables +experimental access to the dissipation parameter $\Gamma$ in the +Gross-Pitaevski\v\i~mean-field equation, for a system currently lacking a +complete quantum kinetic treatment of dissipative processes and, in particular, +an experimental check of the commonly used assumption that $\Gamma$ is a single +scalar independent of spin indices.",2002.08723v2 +2022-06-20,First-principles calculation of the parameters used by atomistic magnetic simulations,"While the ground state of magnetic materials is in general well described on +the basis of spin density functional theory (SDFT), the theoretical description +of finite-temperature and non-equilibrium properties require an extension +beyond the standard SDFT. Time-dependent SDFT (TD-SDFT), which give for example +access to dynamical properties are computationally very demanding and can +currently be hardly applied to complex solids. Here we focus on the alternative +approach based on the combination of a parameterized phenomenological spin +Hamiltonian and SDFT-based electronic structure calculations, giving access to +the dynamical and finite-temperature properties for example via spin-dynamics +simulations using the Landau-Lifshitz-Gilbert (LLG) equation or Monte Carlo +simulations. We present an overview on the various methods to calculate the +parameters of the various phenomenological Hamiltonians with an emphasis on the +KKR Green function method as one of the most flexible band structure methods +giving access to practically all relevant parameters. Concerning these, it is +crucial to account for the spin-orbit coupling (SOC) by performing relativistic +SDFT-based calculations as it plays a key role for magnetic anisotropy and +chiral exchange interactions represented by the DMI parameters in the spin +Hamiltonian. This concerns also the Gilbert damping parameters characterizing +magnetization dissipation in the LLG equation, chiral multispin interaction +parameters of the extended Heisenberg Hamiltonian, as well as spin-lattice +interaction parameters describing the interplay of spin and lattice dynamics +processes, for which an efficient computational scheme has been developed +recently by the present authors.",2206.09969v1 +2023-09-25,Ultrafast Demagnetization through Femtosecond Generation of Non-thermal Magnons,"Ultrafast laser excitation of ferromagnetic metals gives rise to correlated, +highly non-equilibrium dynamics of electrons, spins and lattice, which are, +however, poorly described by the widely-used three-temperature model (3TM). +Here, we develop a fully ab-initio parameterized out-of-equilibrium theory +based on a quantum kinetic approach--termed (N+2) temperature model--that +describes magnon occupation dynamics due to electron-magnon scattering. We +apply this model to perform quantitative simulations on the ultrafast, +laser-induced generation of magnons in iron and demonstrate that on these +timescales the magnon distribution is non-thermal: predominantly high-energy +magnons are created, while the magnon occupation close to the center of the +Brillouin zone even decreases, due to a repopulation towards higher energy +states via a so-far-overlooked scattering term. We demonstrate that the simple +relation between magnetization and temperature computed at equilibrium does not +hold in the ultrafast regime and that the 3TM greatly overestimates the +demagnetization. The ensuing Gilbert damping becomes strongly magnon wavevector +dependent and requires a description beyond the conventional +Landau-Lifshitz-Gilbert spin dynamics. Our ab-initio-parameterized calculations +show that ultrafast generation of non-thermal magnons provides a sizable +demagnetization within 200fs in excellent comparison with experimentally +observed laser-induced demagnetizations. Our investigation emphasizes the +importance of non-thermal magnon excitations for the ultrafast demagnetization +process.",2309.14167v3 +2023-12-12,Sliding Dynamics of Current-Driven Skyrmion Crystal and Helix in Chiral Magnets,"The skyrmion crystal (SkX) and helix (HL) phases, present in typical chiral +magnets, can each be considered as forms of density waves but with distinct +topologies. The SkX exhibits gyrodynamics analogous to electrons under a +magnetic field, while the HL state resembles topological trivial spin density +waves. However, unlike the charge density waves, the theoretical analysis of +the sliding motion of SkX and HL remains unclear, especially regarding the +similarities and differences in sliding dynamics between these two spin density +waves. In this work, we systematically explore the sliding dynamics of SkX and +HL in chiral magnets in the limit of large current density. We demonstrate that +the sliding dynamics of both SkX and HL can be unified within the same +theoretical framework as density waves, despite their distinct microscopic +orders. Furthermore, we highlight the significant role of gyrotropic sliding +induced by impurity effects in the SkX state, underscoring the impact of +nontrivial topology on the sliding motion of density waves. Our theoretical +analysis shows that the effect of impurity pinning is much stronger in HL +compared with SkX, i.e., $\chi^{SkX}/\chi^{HL}\sim \alpha^2$ ($\chi^{SkX}$, +$\chi^{HL}$: susceptibility to the impurity potential, $\alpha$ ($\ll 1$) is +the Gilbert damping). Moreover, the velocity correction is mostly in the +transverse direction to the current in SkX. These results are further +substantiated by realistic Landau-Lifshitz-Gilbert simulations.",2312.07116v2 +2000-03-29,Disagreement between correlations of quantum mechanics and stochastic electrodynamics in the damped parametric oscillator,"Intracavity and external third order correlations in the damped nondegenerate +parametric oscillator are calculated for quantum mechanics and stochastic +electrodynamics (SED), a semiclassical theory. The two theories yield greatly +different results, with the correlations of quantum mechanics being cubic in +the system's nonlinear coupling constant and those of SED being linear in the +same constant. In particular, differences between the two theories are present +in at least a mesoscopic regime. They also exist when realistic damping is +included. Such differences illustrate distinctions between quantum mechanics +and a hidden variable theory for continuous variables.",0003131v1 +2012-12-18,Using the mobile phone acceleration sensor in Physics experiments: free and damped harmonic oscillations,"The mobile acceleration sensor has been used to in Physics experiments on +free and damped oscillations. Results for the period, frequency, spring +constant and damping constant match very well to measurements obtained by other +methods. The Accelerometer Monitor application for Android has been used to get +the outputs of the sensor. Perspectives for the Physics laboratory have also +been discussed.",1212.4403v1 +2014-03-19,The effects of time-dependent dissipation on the basins of attraction for the pendulum with oscillating support,"We consider a pendulum with vertically oscillating support and time-dependent +damping coefficient which varies until reaching a finite final value. The sizes +of the corresponding basins of attraction are found to depend strongly on the +full evolution of the dissipation. In order to predict the behaviour of the +system, it is essential to understand how the sizes of the basins of attraction +for constant dissipation depend on the damping coefficient. For values of the +parameters in the perturbation regime, we characterise analytically the +conditions under which the attractors exist and study numerically how the sizes +of their basins of attraction depend on the damping coefficient. Away from the +perturbation regime, a numerical study of the attractors and the corresponding +basins of attraction for different constant values of the damping coefficient +produces a much more involved scenario: changing the magnitude of the +dissipation causes some attractors to disappear either leaving no trace or +producing new attractors by bifurcation, such as period doubling and +saddle-node bifurcation. For an initially non-constant damping coefficient, +both increasing and decreasing to some finite final value, we numerically +observe that, when the damping coefficient varies slowly from a finite initial +value to a different final value, without changing the set of attractors, the +slower the variation the closer the sizes of the basins of attraction are to +those they have for constant damping coefficient fixed at the initial value. If +during the variation of the damping coefficient attractors appear or disappear, +remarkable additional phenomena may occur. For instance, a fixed point +asymptotically may attract the entire phase space, up to a zero measure set, +even though no attractor with such a property exists for any value of the +damping coefficient between the extreme values.",1403.4996v1 +1995-09-06,Fermi Liquid Damping and NMR Relaxation in Superconductors,"Electron collisions for a two dimensional Fermi liquid (FL) are shown to give +a quasiparticle damping with interesting frequency and temperature variations +in the BCS superconducting state. The spin susceptibility which determines the +structure of the damping is analyzed in the normal state for a Hubbard model +with a constant on--site Coulomb repulsion. This is then generalized to the +superconducting state by including coherence factors and self energy and vertex +corrections. Calculations of the NMR relaxation rate reveal that the FL damping +structure can reduce the Hebel--Slichter peak, in agreement with data on the +organic superconductor (MDT-TTF)$_2$AuI$_2$. However, the strongly suppressed +FL damping in the superconducting state does not eliminate the Hebel-Slichter +peak, and thus suggests that other mechanisms are needed to explain the NMR +data on (TMTSF)$_2$ClO$_4$, the BEDT organic compounds, and cuprate +superconductors. Predictions of the temperature variation of the damping and +the spin response are given over a wide frequency range as a guide to +experimental probes of the symmetry of the superconducting pairs.",9509028v1 +2002-07-26,Landau damping of partially incoherent Langmuir waves,"It is shown that partial incoherence, in the form of stochastic phase noise, +of a Langmuir wave in an unmagnetized plasma gives rise to a Landau-type +damping. Starting from the Zakharov equations, which describe the nonlinear +interaction between Langmuir and ion-acoustic waves, a kinetic equation is +derived for the plasmons by introducing the Wigner-Moyal transform of the +complex Langmuir wave field. This equation is then used to analyze the +stability properties of small perturbations on a stationary solution consisting +of a constant amplitude wave with stochastic phase noise. The concomitant +dispersion relation exhibits the phenomenon of Landau-like damping. However, +this damping differs from the classical Landau damping in which a Langmuir +wave, interacting with the plasma electrons, loses energy. In the present +process, the damping is non-dissipative and is caused by the resonant +interaction between an instantaneously-produced disturbance, due to the +parametric interactions, and a partially incoherent Langmuir wave, which can be +considered as a quasi-particle composed of an ensemble of partially incoherent +plasmons.",0207050v1 +2017-07-30,Blow-up for semilinear damped wave equations with sub-Strauss exponent in the scattering case,"It is well-known that the critical exponent for semilinear damped wave +equations is Fujita exponent when the damping is effective. Lai, Takamura and +Wakasa in 2017 have obtained a blow-up result not only for super-Fujita +exponent but also for the one closely related to Strauss exponent when the +damping is scaling invariant and its constant is relatively small,which has +been recently extended by Ikeda and Sobajima. Introducing a multiplier for the +time-derivative of the spatial integral of unknown functions, we succeed in +employing the technics on the analysis for semilinear wave equations and +proving a blow-up result for semilinear damped wave equations with sub-Strauss +exponent when the damping is in the scattering range.",1707.09583v3 +2020-05-15,Slow magnetosonic wave absorption by pressure induced ionization-recombination dissipation,"A new mechanisms for damping of slow magnetosonic waves (SMW) by pressure +induced oscillations of the ionization degree is proposed. An explicit formula +for the damping rate is quantitatively derived. Physical conditions where the +new mechanism will dominate are briefly discussed. The ionization-recombination +damping is frequency independent and has no hydrodynamic interpretation. +Roughly speaking large area of partially ionized plasma are damper for basses +of SMW while usual MHD mechanisms operate as a low pass filter. The derived +damping rate is proportional to the square of the sine between the constant +magnetic field and the wave-vector. Angular distribution of the spectral +density of SMW and Alfv\'en waves (AW) created by turbulent regions and passing +through large regions of partially ionized plasma is qualitatively considered. +The calculated damping rate is expressed by the electron impact cross section +of the hydrogen atom and in short all details of the proposed damping +mechanisms are well studied.",2005.07730v1 +2011-01-17,Steiner Ratio for Manifolds,"The Steiner ratio characterizes the greatest possible deviation of the length +of a minimal spanning tree from the length of the minimal Steiner tree. In this +paper, estimates of the Steiner ratio on Riemannian manifolds are obtained. As +a corollary, the Steiner ratio for flat tori, flat Klein bottles, and +projective plane of constant positive curvature are computed. Steiner ratio - +Steiner problem - Gilbert--Pollack conjecture - surfaces of constant curvature",1101.3144v1 +2016-12-30,Spectroscopic evidence of Alfvén wave damping in the off-limb solar corona,"We investigate off-limb active region and quiet Sun corona using +spectroscopic data. Active region is clearly visible in several spectral lines +formed in the temperature range of 1.1--2.8 MK. We derive electron number +density using line ratio method, and non-thermal velocity in the off-limb +region up to the distance of 140 Mm. We compare density scale heights derived +from several spectral line pairs with expected scale heights as per hydrostatic +equilibrium model. Using several isolated and unblended spectral line profiles, +we estimate non-thermal velocities in active region and quiet Sun. Non-thermal +velocities obtained from warm lines in active region first show increase and +later show either decrease or almost constant value with height in the far +off-limb region, whereas hot lines show consistent decrease. However, in the +quiet Sun region, non-thermal velocities obtained from various spectral lines +show either gradual decrease or remain almost constant with height. Using these +obtained parameters, we further calculate Alfv\'en wave energy flux in the both +active and quiet Sun regions. We find significant decrease in wave energy +fluxes with height, and hence provide evidence of Alfv\'en wave damping. +Furthermore, we derive damping lengths of Alfv\'en waves in the both regions +and find them to be in the range of 25-170 Mm. Different damping lengths +obtained at different temperatures may be explained as either possible +temperature dependent damping or measurements obtained in different coronal +structures formed at different temperatures along the line-of-sight. +Temperature dependent damping may suggest some role of thermal conduction in +the damping of Alfv\'en waves in the lower corona.",1612.09551v2 +1997-06-30,Damped Lyman Alpha Systems at High Redshift and Models of Protogalactic Disks,"We employ observationally determined intrinsic velocity widths and column +densities of damped Lyman-alpha systems at high redshift to investigate the +distribution of baryons in protogalaxies within the context of a standard cold +dark matter model. We proceed under the assumption that damped Lyman alpha +systems represent a population of cold, rotationally supported, protogalactic +disks and that the abundance of protogalactic halos is well approximated by a +cold dark matter model with critical density and vanishing cosmological +constant. Using conditional cross sections to observe a damped system with a +given velocity width and column density, we compare observationally inferred +velocity width and column density distributions to the corresponding +theoretically determined distributions for a variety of disk parameters and CDM +normalizations. In general, we find that the observations can not be reproduced +by the models for most disk parameters and CDM normalizations. Whereas the +column density distribution favors small disks with large neutral gas fraction, +the velocity width distribution favors large and thick disks with small neutral +gas fraction. The possible resolutions of this problem in the context of this +CDM model may be: (1) an increased contribution of rapidly rotating disks +within massive dark matter halos to damped Lyman-alpha absorption or (2) the +abandoning of simple disk models within this CDM model for damped Lyman-alpha +systems at high redshift. Here the first possibility may be achieved by +supposing that damped Lya system formation only occurs in halos with fairly +large circular velocities and the second possibility may result from a large +contribution of mergers and double-disks to damped Lya absorption at high +redshift.",9706290v1 +2019-01-24,Generalization of Stokes-Einstein relation to coordinate dependent damping and diffusivity: An apparent conflict,"Brownian motion with coordinate dependent damping and diffusivity is +ubiquitous. Understanding equilibrium of a Brownian particle with coordinate +dependent diffusion and damping is a contentious area. In this paper, we +present an alternative approach based on already established methods to this +problem. We solve for the equilibrium distribution of the over-damped dynamics +using Kramers-Moyal expansion. We compare this with the over-damped limit of +the generalized Maxwell-Boltzmann distribution. We show that the equipartition +of energy helps recover the Stokes-Einstein relation at constant diffusivity +and damping of the homogeneous space. However, we also show that, there exists +no homogeneous limit of coordinate dependent diffusivity and damping with +respect to the applicability of Stokes-Einstein relation when it does not hold +locally. In the other scenario where the Stokes-Einstein relation holds +locally, one needs to impose a restriction on the local maximum velocity of the +Brownian particle to make the modified Maxwell-Boltzmann distribution coincide +with the modified Boltzmann distribution in the over-damped limit.",1901.08358v4 +1996-11-25,Damping rates of hard momentum particles in a cold ultrarelativistic plasma,"We compute the damping rates of one-particle excitations in a cold +ultrarelativistic plasma to leading order in the coupling constant e for three +types of interaction: Yukawa coupling to a massless scalar boson, QED and QCD. +Damping rates of charged particles in QED and QCD are of order e^3 mu, while +damping rates of other particles are of order e^4 mu or e^4 mu log(1/e). We +find that the damping rate of an electron or of a quark is constant far from +the Fermi surface, and decreases linearly with the excitation energy close to +the Fermi surface. This unusual behavior is attributed to the long-range +magnetic interactions.",9611415v2 +2011-06-23,Ratchet effect on a relativistic particle driven by external forces,"We study the ratchet effect of a damped relativistic particle driven by both +asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. +This system can be formally solved for any external force, providing the +ratchet velocity as a non-linear functional of the driving force. This allows +us to explicitly illustrate the functional Taylor expansion formalism recently +proposed for this kind of systems. The Taylor expansion reveals particularly +useful to obtain the shape of the current when the force is periodic, piecewise +constant. We also illustrate the somewhat counterintuitive effect that +introducing damping may induce a ratchet effect. When the force is symmetric +under time-reversal and the system is undamped, under symmetry principles no +ratchet effect is possible. In this situation increasing damping generates a +ratchet current which, upon increasing the damping coefficient eventually +reaches a maximum and decreases toward zero. We argue that this effect is not +specific of this example and should appear in any ratchet system with tunable +damping driven by a time-reversible external force.",1106.4861v1 +2012-10-20,Radiative damping of surface plasmon resonance in spheroidal metallic nanoparticle embedded in a dielectric medium,"The local field approach and kinetic equation method is applied to calculate +the surface plasmon radiative damping in a spheroidal metal nanoparticle +embedded in any dielectric media. The radiative damping of the surface plasmon +resonance as a function of the particle radius, shape, dielectric constant of +the surrounding medium and the light frequency is studied in detail. It is +found that the radiative damping grows quadratically with the particle radius +and oscillates with altering both the particle size and the dielectric constant +of a surrounding medium. Much attention is paid to the electron +surface-scattering contribution to the plasmon decay. All calculations of the +radiative damping are illustrated by examples on the Au and Na nanoparticles.",1210.5647v1 +2015-05-25,New Explicit Binary Constant Weight Codes from Reed-Solomon Codes,"Binary constant weight codes have important applications and have been +studied for many years. Optimal or near-optimal binary constant weight codes of +small lengths have been determined. In this paper we propose a new construction +of explicit binary constant weight codes from $q$-ary Reed-Solomon codes. Some +of our binary constant weight codes are optimal or new. In particular new +binary constant weight codes $A(64, 10, 8) \geq 4108$ and $A(64, 12, 8) \geq +522$ are constructed. We also give explicitly constructed binary constant +weight codes which improve Gilbert and Graham-Sloane lower bounds in some range +of parameters. An extension to algebraic geometric codes is also presented.",1505.06524v4 +2002-08-08,Cosmology with the Sunyaev-Zel'dovich Effect,"The Sunyaev-Zel'dovich effect (SZE) provides a unique way to map the +large-scale structure of the universe as traced by massive clusters of +galaxies. As a spectral distortion of the cosmic microwave background, the SZE +is insensitive to the redshift of the galaxy cluster, making it well-suited for +studies of clusters at all redshifts, and especially at reasonably high +redshifts (z > 1) where the abundance of clusters is critically dependent on +the underlying cosmology. Recent high signal-to-noise detections of the SZE +have enabled interesting constraints on the Hubble constant and the matter +density of the universe using small samples of galaxy clusters. Upcoming SZE +surveys are expected to find hundreds to thousands of new galaxy clusters, with +a mass selection function that is remarkably uniform with redshift. In this +review we provide an overview of the SZE and its use for cosmological studies +with emphasis on the cosmology that can, in principle, be extracted from SZE +survey yields. We discuss the observational and theoretical challenges that +must be met before precise cosmological constraints can be extracted from the +survey yields.",0208192v1 +2004-04-19,Asymptotic Improvement of the Gilbert-Varshamov Bound on the Size of Binary Codes,"Given positive integers $n$ and $d$, let $A_2(n,d)$ denote the maximum size +of a binary code of length $n$ and minimum distance $d$. The well-known +Gilbert-Varshamov bound asserts that $A_2(n,d) \geq 2^n/V(n,d-1)$, where +$V(n,d) = \sum_{i=0}^{d} {n \choose i}$ is the volume of a Hamming sphere of +radius $d$. We show that, in fact, there exists a positive constant $c$ such +that $$ A_2(n,d) \geq c \frac{2^n}{V(n,d-1)} \log_2 V(n,d-1) $$ whenever $d/n +\le 0.499$. The result follows by recasting the Gilbert- Varshamov bound into a +graph-theoretic framework and using the fact that the corresponding graph is +locally sparse. Generalizations and extensions of this result are briefly +discussed.",0404325v1 +2010-08-12,Magnetization dynamics in the inertial regime: nutation predicted at short time scales,"The dynamical equation of the magnetization has been reconsidered with +enlarging the phase space of the ferromagnetic degrees of freedom to the +angular momentum. The generalized Landau-Lifshitz-Gilbert equation that +includes inertial terms, and the corresponding Fokker-Planck equation, are then +derived in the framework of mesoscopic non-equilibrium thermodynamics theory. A +typical relaxation time $\tau$ is introduced describing the relaxation of the +magnetization acceleration from the inertial regime towards the precession +regime defined by a constant Larmor frequency. For time scales larger than +$\tau$, the usual Gilbert equation is recovered. For time scales below $\tau$, +nutation and related inertial effects are predicted. The inertial regime offers +new opportunities for the implementation of ultrafast magnetization switching +in magnetic devices.",1008.2177v1 +2011-09-12,Externally-driven transmission and collisions of domain walls in ferromagnetic wires,"Analytical multi-domain solutions to the dynamical (Landau-Lifshitz-Gilbert) +equation of a one-dimensional ferromagnet including an external magnetic field +and spin-polarized electric current are found using the Hirota bilinearization +method. A standard approach to solve the Landau-Lifshitz equation (without the +Gilbert term) is modified in order to treat the dissipative dynamics. I +establish the relations between the spin interaction parameters (the constants +of exchange, anisotropy, dissipation, external-field intensity, and +electric-current intensity) and the domain-wall parameters (width and velocity) +and compare them to the results of the Walker approximation and micromagnetic +simulations. The domain-wall motion driven by a longitudinal external field is +analyzed with especial relevance to the field-induced collision of two domain +walls. I determine the result of such a collision (which is found to be the +elastic one) on the domain-wall parameters below and above the Walker breakdown +(in weak- and strong-field regimes). Single-domain-wall dynamics in the +presence of an external transverse field is studied with relevance to the +challenge of increasing the domain-wall velocity below the breakdown.",1109.2465v1 +2015-01-31,Bases and Structure Constants of Generalized Splines with Integer Coefficients on Cycles,"An integer generalized spline is a set of vertex labels on an edge-labeled +graph that satisfy the condition that if two vertices are joined by an edge, +the vertex labels are congruent modulo the edge label. Foundational work on +these objects comes from Gilbert, Polster, and Tymoczko, who generalize ideas +from geometry/topology (equivariant cohomology rings) and algebra (algebraic +splines) to develop the notion of generalized splines. Gilbert, Polster, and +Tymoczko prove that the ring of splines on a graph can be decomposed in terms +of splines on its subgraphs (in particular, on trees and cycles), and then +fully analyze splines on trees. Following Handschy-Melnick-Reinders and Rose, +we analyze splines on cycles, in our case integer generalized splines. The +primary goal of this paper is to establish two new bases for the module of +integer generalized splines on cycles: the triangulation basis and the King +basis. Unlike bases in previous work, we are able to characterize each basis +element completely in terms of the edge labels of the underlying cycle. As an +application we explicitly construct the multiplication table for the ring of +integer generalized splines in terms of the King basis.",1502.00176v1 +2022-11-22,Generalized Random Gilbert-Varshamov Codes: Typical Error Exponent and Concentration Properties,"We find the exact typical error exponent of constant composition generalized +random Gilbert-Varshamov (RGV) codes over DMCs channels with generalized +likelihood decoding. We show that the typical error exponent of the RGV +ensemble is equal to the expurgated error exponent, provided that the RGV +codebook parameters are chosen appropriately. We also prove that the random +coding exponent converges in probability to the typical error exponent, and the +corresponding non-asymptotic concentration rates are derived. Our results show +that the decay rate of the lower tail is exponential while that of the upper +tail is double exponential above the expurgated error exponent. The explicit +dependence of the decay rates on the RGV distance functions is characterized.",2211.12238v1 +2023-01-05,Improved Gilbert-Varshamov bounds for hopping cyclic codes and optical orthogonal codes,"Hopping cyclic codes (HCCs) are (non-linear) cyclic codes with the additional +property that the $n$ cyclic shifts of every given codeword are all distinct, +where $n$ is the code length. Constant weight binary hopping cyclic codes are +also known as optical orthogonal codes (OOCs). HCCs and OOCs have various +practical applications and have been studied extensively over the years. + The main concern of this paper is to present improved Gilbert-Varshamov type +lower bounds for these codes, when the minimum distance is bounded below by a +linear factor of the code length. For HCCs, we improve the previously best +known lower bound of Niu, Xing, and Yuan by a linear factor of the code length. +For OOCs, we improve the previously best known lower bound of Chung, Salehi, +and Wei, and Yang and Fuja by a quadratic factor of the code length. As +by-products, we also provide improved lower bounds for frequency hopping +sequences sets and error-correcting weakly mutually uncorrelated codes. Our +proofs are based on tools from probability theory and graph theory, in +particular the McDiarmid's inequality on the concentration of Lipschitz +functions and the independence number of locally sparse graphs.",2301.02042v1 +2006-01-18,Expressions for frictional and conservative force combinations within the dissipative Lagrange-Hamilton formalism,"Dissipative Lagrangians and Hamiltonians having Coulomb, viscous and +quadratic damping,together with gravitational and elastic terms are presented +for a formalism that preserves the Hamiltonian as a constant of the motion. +Their derivations are also shown. The resulting L's and H's may prove useful in +exploring new types of damped quantum systems.",0601133v1 +2010-03-28,Damped wave dynamics for a complex Ginzburg-Landau equation with low dissipation,"We consider a complex Ginzburg-Landau equation, corresponding to a +Gross-Pitaevskii equation with a small dissipation term. We study an asymptotic +regime for long-wave perturbations of constant maps of modulus one. We show +that such solutions never vanish and we derive a damped wave dynamics for the +perturbation.",1003.5375v1 +2011-11-20,Null controllability of the structurally damped wave equation with moving point control,"We investigate the internal controllability of the wave equation with +structural damping on the one dimensional torus. We assume that the control is +acting on a moving point or on a moving small interval with a constant +velocity. We prove that the null controllability holds in some suitable Sobolev +space and after a fixed positive time independent of the initial conditions.",1111.4655v1 +2013-09-19,Compressible Euler equation with damping on Torus in arbitrary dimensions,"We study the exponential stability of constant steady state of isentropic +compressible Euler equation with damping on $\mathbb T^n$. The local existence +of solutions is based on semigroup theory and some commutator estimates. We +propose a new method instead of energy estimates to study the stability, which +works equally well for any spatial dimensions.",1309.5059v3 +2018-09-26,Permutation-invariant constant-excitation quantum codes for amplitude damping,"The increasing interest in using quantum error correcting codes in practical +devices has heightened the need for designing quantum error correcting codes +that can correct against specialized errors, such as that of amplitude damping +errors which model photon loss. Although considerable research has been devoted +to quantum error correcting codes for amplitude damping, not so much attention +has been paid to having these codes simultaneously lie within the decoherence +free subspace of their underlying physical system. One common physical system +comprises of quantum harmonic oscillators, and constant-excitation quantum +codes can be naturally stabilized within them. The purpose of this paper is to +give constant-excitation quantum codes that not only correct amplitude damping +errors, but are also immune against permutations of their underlying modes. To +construct such quantum codes, we use the nullspace of a specially constructed +matrix based on integer partitions.",1809.09801v4 +2020-08-29,Exploring a quantum-information-relevant magnonic material: Ultralow damping at low temperature in the organic ferrimagnet V[TCNE]x,"Quantum information science and engineering requires novel low-loss magnetic +materials for magnon-based quantum-coherent operations. The search for low-loss +magnetic materials, traditionally driven by applications in microwave +electronics near room-temperature, has gained additional constraints from the +need to operate at cryogenic temperatures for many applications in quantum +information science and technology. Whereas yttrium iron garnet (YIG) has been +the material of choice for decades, the emergence of molecule-based materials +with robust magnetism and ultra-low damping has opened new avenues for +exploration. Specifically, thin-films of vanadium tetracyanoethylene (V[TCNE]x) +can be patterned into the multiple, connected structures needed for hybrid +quantum elements and have shown room-temperature Gilbert damping ({\alpha} = 4 +\times 10^-5) that rivals the intrinsic (bulk) damping otherwise seen only in +highly-polished YIG spheres (far more challenging to integrate into arrays). +Here, we present a comprehensive and systematic study of the low-temperature +magnetization dynamics for V[TCNE]x thin films, with implications for their +application in quantum systems. These studies reveal a temperature-driven, +strain-dependent magnetic anisotropy that compensates the thin-film shape +anisotropy, and the recovery of a magnetic resonance linewidth at 5 K that is +comparable to room-temperature values (roughly 2 G at 9.4 GHz). We can account +for these variations of the V[TCNE]x linewidth within the context of scattering +from very dilute paramagnetic impurities, and anticipate additional linewidth +narrowing as the temperature is further reduced.",2008.13061v3 +2014-01-08,Dynamic exchange via spin currents in acoustic and optical modes of ferromagnetic resonance in spin-valve structures,"Two ferromagnetic layers magnetically decoupled by a thick normal metal +spacer layer can be, nevertheless, dynamically coupled via spin currents +emitted by the spin-pump and absorbed through the spin-torque effects at the +neighboring interfaces. A decrease of damping in both layers due to a partial +compensation of the angular momentum leakage in each layer was previously +observed at the coincidence of the two ferromagnetic resonances. In case of +non-zero magnetic coupling, such a dynamic exchange will depend on the mutual +precession of the magnetic moments in the layers. A difference in the linewidth +of the resonance peaks is expected for the acoustic and optical regimes of +precession. However, the interlayer coupling hybridizes the resonance responses +of the layers and therefore can also change their linewidths. The interplay +between the two mechanisms has never been considered before. In the present +work, the joint influence of the hybridization and non-local damping on the +linewidth has been studied in weakly coupled NiFe/CoFe/Cu/CoFe/MnIr spin-valve +multilayers. It has been found that the dynamic exchange by spin currents is +different in the optical and acoustic modes, and this difference is dependent +on the interlayer coupling strength. In contrast to the acoustic precession +mode, the dynamic exchange in the optical mode works as an additional damping +source. A simulation in the framework of the Landau-Lifshitz-Gilbert formalism +for two ferromagnetic layers coupled magnetically and by spin currents has been +done to separate the effects of the non-local damping from the resonance modes +hybridization. In our samples both mechanisms bring about linewidth changes of +the same order of magnitude, but lead to a distinctly different angular +behavior. The obtained results are relevant for a broad class of coupled +magnetic multilayers with ballistic regime of the spin transport.",1401.1672v1 +2017-06-15,Generalized Voltage-based State-Space Modelling of Modular Multilevel Converters with Constant Equilibrium in Steady-State,"This paper demonstrates that the sum and difference of the upper and lower +arm voltages are suitable variables for deriving a generalized state-space +model of an MMC which settles at a constant equilibrium in steady-state +operation, while including the internal voltage and current dynamics. The +presented modelling approach allows for separating the multiple frequency +components appearing within the MMC as a first step of the model derivation, to +avoid variables containing multiple frequency components in steady-state. On +this basis, it is shown that Park transformations at three different +frequencies ($+\omega$, $-2\omega$ and $+3\omega$) can be applied for deriving +a model formulation where all state-variables will settle at constant values in +steady-state, corresponding to an equilibrium point of the model. The resulting +model is accurately capturing the internal current and voltage dynamics of a +three-phase MMC, independently from how the control system is implemented. The +main advantage of this model formulation is that it can be linearised, allowing +for eigenvalue-based analysis of the MMC dynamics. Furthermore, the model can +be utilized for control system design by multi-variable methods requiring any +stable equilibrium to be defined by a fixed operating point. Time-domain +simulations in comparison to an established average model of the MMC, as well +as results from a detailed simulation model of an MMC with 400 sub-modules per +arm, are presented as verification of the validity and accuracy of the +developed model.",1706.04959v1 +1992-04-06,Comment on ``High Temperature Fermion Propagator -- Resummation and Gauge Dependence of the Damping Rate'',"Baier et al. have reported the damping rate of long-wavelength fermionic +excitations in high-temperature QED and QCD to be gauge-fixing-dependent even +within the resummation scheme due to Braaten and Pisarski. It is shown that +this problem is caused by the singular nature of the on-shell expansion of the +fermion self-energy in the infra-red. Its regularization reveals that the +alleged gauge dependence pertains to the residue rather than the pole of the +fermion propagator, so that in particular the damping constant comes out +gauge-independent, as it should.",9204210v1 +2003-07-02,Harmonic Oscillator Potential to describe Internal Dissipation,"Assuming that a constant potential energy function has meaning for a +dissipated harmonic oscillator, then an important issue is the time dependence +of the turning points. Turning point studies demonstrate that the common model +of external (viscous) damping fails to properly describe those many systems +where structural (internal friction) damping is the most important source of +dissipation. For internal friction damping, the better model of potential +energy is one in which the function is not stationary.",0307016v1 +2009-12-16,Toward a dynamical shift condition for unequal mass black hole binary simulations,"Moving puncture simulations of black hole binaries rely on a specific gauge +choice that leads to approximately stationary coordinates near each black hole. +Part of the shift condition is a damping parameter, which has to be properly +chosen for stable evolutions. However, a constant damping parameter does not +account for the difference in mass in unequal mass binaries. We introduce a +position dependent shift damping that addresses this problem. Although the +coordinates change, the changes in the extracted gravitational waves are small.",0912.3125v1 +2010-03-09,Damping of Nanomechanical Resonators,"We study the transverse oscillatory modes of nanomechanical silicon nitride +strings under high tensile stress as a function of geometry and mode index m <= +9. Reproducing all observed resonance frequencies with classical elastic theory +we extract the relevant elastic constants. Based on the oscillatory local +strain we successfully predict the observed mode-dependent damping with a +single frequency independent fit parameter. Our model clarifies the role of +tensile stress on damping and hints at the underlying microscopic mechanisms.",1003.1868v1 +2011-10-12,Acceleration Control in Nonlinear Vibrating Systems based on Damped Least Squares,"A discrete time control algorithm using the damped least squares is +introduced for acceleration and energy exchange controls in nonlinear vibrating +systems. It is shown that the damping constant of least squares and sampling +time step of the controller must be inversely related to insure that vanishing +the time step has little effect on the results. The algorithm is illustrated on +two linearly coupled Duffing oscillators near the 1:1 internal resonance. In +particular, it is shown that varying the dissipation ratio of one of the two +oscillators can significantly suppress the nonlinear beat phenomenon.",1110.2811v2 +2012-03-21,Approximate rogue wave solutions of the forced and damped Nonlinear Schrödinger equation for water waves,"We consider the effect of the wind and the dissipation on the nonlinear +stages of the modulational instability. By applying a suitable transformation, +we map the forced/damped Nonlinear Schr\""odinger (NLS) equation into the +standard NLS with constant coefficients. The transformation is valid as long as +|{\Gamma}t| \ll 1, with {\Gamma} the growth/damping rate of the waves due to +the wind/dissipation. Approximate rogue wave solutions of the equation are +presented and discussed. The results shed some lights on the effects of wind +and dissipation on the formation of rogue waves.",1203.4735v1 +2014-10-05,Ultimate limit of field confinement by surface plasmon polaritons,"We show that electric field confinement in surface plasmon polaritons +propagating at the metal/dielectric interfaces enhances the loss due to Landau +damping and which effectively limits the degree of confinement itself. We prove +that Landau damping and associated with it surface collision damping follow +directly from Lindhard formula for the dielectric constant of free electron gas +Furthermore, we demonstrate that even if all the conventional loss mechanisms, +caused by phonons, electron-electron, and interface roughness scattering, were +eliminated, the maximum attainable degree of confinement and the loss +accompanying it would not change significantly compared to the best existing +plasmonic materials, such as silver.",1410.1226v1 +2016-04-18,Parameter Estimation of Gaussian-Damped Sinusoids from a Geometric Perspective,"The five parameter gaussian damped sinusoid equation is a reasonable model +for betatron motion with chromatic decoherence of the proton bunch centroid +signal in the ring at the Spallation Neutron Source. A geometric method for +efficiently fitting this equation to the turn by turn signals to extract the +betatron tune and damping constant will be presented. This method separates the +parameters into global and local parameters and allows the use of vector +arithmetic to eliminate the local parameters from the parameter search space. +Furthermore, this method is easily generalized to reduce the parameter search +space for a larger class of problems.",1604.05167v1 +2016-07-13,Optimal decay rate for the wave equation on a square with constant damping on a strip,"We consider the damped wave equation with Dirichlet boundary conditions on +the unit square. We assume the damping to be a characteristic function of a +strip. We prove the exact $t^{-4/3}$-decay rate for the energy of classical +solutions. This answers a question of Anantharaman and L\'eautaud (2014).",1607.03633v2 +2016-09-20,Global existence and asymptotic behavior of solutions to the Euler equations with time-dependent damping,"We study the isentropic Euler equations with time-dependent damping, given by +$\frac{\mu}{(1+t)^\lambda}\rho u$. Here, $\lambda,\mu$ are two non-negative +constants to describe the decay rate of damping with respect to time. We will +investigate the global existence and asymptotic behavior of small data +solutions to the Euler equations when $0<\lambda<1,0<\mu$ in multi-dimensions +$n\geq 1$. The asymptotic behavior will coincide with the one that obtained by +many authors in the case $\lambda=0$. We will also show that the solution can +only decay polynomially in time while in the three dimensions, the vorticity +will decay exponentially fast.",1609.06286v1 +2018-06-08,"Brownian motion of magnetic domain walls and skyrmions, and their diffusion constants","Extended numerical simulations enable to ascertain the diffusive behavior at +finite temperatures of chiral walls and skyrmions in ultra-thin model Co layers +exhibiting symmetric - Heisenberg - as well as antisymmetric - +Dzyaloshinskii-Moriya - exchange interactions. The Brownian motion of walls and +skyrmions is shown to obey markedly different diffusion laws as a function of +the damping parameter. Topology related skyrmion diffusion suppression with +vanishing damping parameter, albeit already documented, is shown to be +restricted to ultra-small skyrmion sizes or, equivalently, to ultra-low damping +coefficients, possibly hampering observation.",1806.03172v1 +2017-09-24,Suppression of Recurrence in the Hermite-Spectral Method for Transport Equations,"We study the unphysical recurrence phenomenon arising in the numerical +simulation of the transport equations using Hermite-spectral method. From a +mathematical point of view, the suppression of this numerical artifact with +filters is theoretically analyzed for two types of transport equations. It is +rigorously proven that all the non-constant modes are damped exponentially by +the filters in both models, and formally shown that the filter does not affect +the damping rate of the electric energy in the linear Landau damping problem. +Numerical tests are performed to show the effect of the filters.",1709.08194v1 +2003-04-18,Elementary Excitations of Ferromagnetic Metal Nanoparticles,"We present a theory of the elementary spin excitations in transition metal +ferromagnet nanoparticles which achieves a unified and consistent quantum +description of both collective and quasiparticle physics. The theory starts by +recognizing the essential role played by spin-orbit interactions in determining +the energies of ferromagnetic resonances in the collective excitation spectrum +and the strength of their coupling to low-energy particle-hole excitations. We +argue that a crossover between Landau-damped ferromagnetic resonance and +pure-state collective magnetic excitations occurs as the number of atoms in +typical transition metal ferromagnet nanoparticles drops below approximately +$10^4$, approximately where the single-particle level spacing, $\delta$, +becomes larger than, $\sqrt{\alpha} E_{\rm res}$, where $E_{\rm res}$ is the +ferromagnetic resonance frequency and $\alpha$ is the Gilbert damping +parameter. We illustrate our ideas by studying the properties of semi-realistic +model Hamiltonians, which we solve numerically for nanoparticles containing +several hundred atoms. For small nanoparticles, we find one isolated +ferromagnetic resonance collective mode below the lowest particle-hole +excitation energy, at $E_{\rm res} \approx 0.1$ meV. The spectral weight of +this pure excitation nearly exhausts the transverse dynamical susceptibility +spectral weight. As $\delta$ approaches $\sqrt{\alpha} E_{\rm res}$, the +ferromagnetic collective excitation is more likely to couple strongly with +discrete particle-hole excitations. In this regime the distinction between the +two types of excitations blurs. We discuss the significance of this picture for +the interpretation of recent single-electron tunneling experiments.",0304427v1 +2018-04-10,GONG Catalog of Solar Filament Oscillations Near Solar Maximum,"We have catalogued 196 filament oscillations from the GONG $H{\alpha}$ +network data during several months near the maximum of solar cycle 24 (January +- June 2014). Selected examples from the catalog are described in detail, along +with our statistical analyses of all events. Oscillations were classified +according to their velocity amplitude: 106 small-amplitude oscillations (SAOs), +with velocities $<10\mathrm{\, km \; s^{-1}}$, and 90 large-amplitude +oscillations (LAOs), with velocities $>10\mathrm{\, km \; s^{-1}}$. Both SAOs +and LAOs are common, with one event of each class every two days on the visible +side of the Sun. For nearly half of the events we identified their apparent +trigger. The period distribution has a mean value of 58$\pm$15 min for both +types of oscillations. The distribution of the damping time per period peaks at +$\tau/P=1.75$ and $1.25$ for SAOs and LAOs respectively. We confirmed that LAO +damping rates depend nonlinearly on the oscillation velocity. The angle between +the direction of motion and the filament spine has a distribution centered at +$27^\circ$ for all filament types. This angle agrees with the observed +direction of filament-channel magnetic fields, indicating that most of the +catalogued events are longitudinal (i.e., undergo field-aligned motions). We +applied seismology to determine the average radius of curvature in the magnetic +dips, $R\approx89$ Mm, and the average minimum magnetic-field strength, +$B\approx16$ G. The catalog is available to the community online, and is +intended to be expanded to cover at least 1 solar cycle.",1804.03743v1 +2018-10-16,Spin-wave-induced lateral temperature gradient in a YIG thin film/GGG system excited in an ESR cavity,"Lateral thermal gradient of an yttrium iron garnet (YIG) film under the +microwave application in the cavity of the electron spin resonance system (ESR) +was measured at room temperature by fabricating a Cu/Sb thermocouple onto it. +To date, thermal transport in YIG films caused by the Damon-Eshbach mode (DEM) +- the unidirectional spin-wave heat conveyer effect - was demonstrated only by +the excitation using coplanar waveguides. Here we show that effect exists even +under YIG excitation using the ESR cavity - tool often employed to realize spin +pumping. The temperature difference observed around the ferromagnetic resonance +(FMR) field under the 4 mW microwave power peaked at 13 mK. The observed +thermoelectric signal indicates the imbalance of the population between the +DEMs that propagate near the top and bottom surfaces of the YIG film. We +attribute the DEM population imbalance to the different magnetic damping near +the top and bottom YIG surfaces. Additionally, the spin wave dynamics of the +system were investigated using the micromagnetic simulations. The micromagnetic +simulations confirmed the existence of the DEM imbalance in the system with the +increased Gilbert damping at one of the YIG interfaces. The reported results +are indispensable for the quantitative estimation of the electromotive force in +the spin-charge conversion experiments using ESR cavities.",1810.06875v1 +2019-11-21,Low damping and microstructural perfection of sub-40nm-thin yttrium iron garnet films grown by liquid phase epitaxy,"The field of magnon spintronics is experiencing an increasing interest in the +development of solutions for spin-wave-based data transport and processing +technologies that are complementary or alternative to modern CMOS +architectures. Nanometer-thin yttrium iron garnet (YIG) films have been the +gold standard for insulator-based spintronics to date, but a potential process +technology that can deliver perfect, homogeneous large-diameter films is still +lacking. We report that liquid phase epitaxy (LPE) enables the deposition of +nanometer-thin YIG films with low ferromagnetic resonance losses and +consistently high magnetic quality down to a thickness of 20 nm. The obtained +epitaxial films are characterized by an ideal stoichiometry and perfect film +lattices, which show neither significant compositional strain nor geometric +mosaicity, but sharp interfaces. Their magneto-static and dynamic behavior is +similar to that of single crystalline bulk YIG. We found, that the Gilbert +damping coefficient alpha is independent of the film thickness and close to 1 x +10-4, and that together with an inhomogeneous peak-to-peak linewidth broadening +of delta H0|| = 0.4 G, these values are among the lowest ever reported for YIG +films with a thickness smaller than 40 nm. These results suggest, that +nanometer-thin LPE films can be used to fabricate nano- and micro-scaled +circuits with the required quality for magnonic devices. The LPE technique is +easily scalable to YIG sample diameters of several inches.",1911.09400v1 +2021-08-24,Shape anisotropy effect on magnetization reversal induced by linear down chirp pulse,"We investigate the influence of shape anisotropy on the magnetization +reversal of a single-domain magnetic nanoparticle driven by a circularly +polarized linear down-chirp microwave field pulse (DCMP). Based on the +Landau-Lifshitz-Gilbert equation, numerical results show that the three +controlling parameters of DCMP, namely, microwave amplitude, initial frequency +and chirp rate, decrease with the increase of shape anisotropy. For certain +shape anisotropy, the reversal time significantly reduces. These findings are +related to the competition of shape anisotropy and uniaxial magnetocrystalline +anisotropy and thus to the height of energy barrier which separates the two +stable states. The result of damping dependence of magnetization reversal +indicates that for a certain sample shape, there exists an optimal damping +situation at which magnetization is fastest. Moreover, it is also shown that +the required microwave field amplitude can be lowered by applying the +spin-polarized current simultaneously. The usage of an optimum combination of +both microwave field pulse and current is suggested to achieve cost efficiency +and faster switching. So these findings may provide the knowledge to fabricate +the shape of a single domain nanoparticle for the fast and power-efficient +magnetic data storage device.",2108.10965v2 +2021-11-23,Resonant dynamics of skyrmion lattices in thin film multilayers: Localised modes and spin wave emission,"The spectral signatures of magnetic skyrmions under microwave field +excitation are of fundamental interest and can be an asset for high frequency +applications. These topological solitons can be tailored in multilayered thin +films, but the experimental observation of their spin wave dynamics remains +elusive, in particular due to large damping. Here, we study Pt/FeCoB/AlO$_x$ +multilayers hosting dense and robust skyrmion lattices at room temperature with +Gilbert damping of $\sim 0.02$. We use magnetic force microscopy to +characterise their static magnetic phases and broadband ferromagnetic resonance +to probe their high frequency response. Micromagnetic simulations reproduce the +experiments with accuracy and allow us to identify distinct resonant modes +detected in the skyrmion lattice phase. Low ($<$ 2 GHz) and intermediate +frequency ($2-8$ GHz) modes involve excitations localised to skyrmion edges in +conjunction with precession of the uniform background magnetisation, while a +high frequency ($>$ 12 GHz) mode corresponds to in-phase skyrmion core +precession emitting spin waves into uniform background with wavelengths in the +50--80 nm range commensurate with the lattice structure. These findings could +be instrumental in the investigation of room temperature wave scattering and +the implementation of novel microwave processing schemes in reconfigurable +arrays of solitons.",2111.11797v2 +2022-05-20,Effects of Crystalline Disorder on Interfacial and Magnetic Properties of Sputtered Topological Insulator/Ferromagnet Heterostructures,"Thin films of Topological insulators (TIs) coupled with ferromagnets (FMs) +are excellent candidates for energy-efficient spintronics devices. Here, the +effect of crystalline structural disorder of TI on interfacial and magnetic +properties of sputter-deposited TI/FM, Bi2Te3/Ni80Fe20, heterostructures is +reported. Ni and a smaller amount of Fe from Py was found to diffuse across the +interface and react with Bi2Te3. For highly crystalline c-axis oriented Bi2Te3 +films, a giant enhancement in Gilbert damping is observed, accompanied by an +effective out-of-plane magnetic anisotropy and enhanced damping-like spin-orbit +torque (DL-SOT), possibly due to the topological surface states (TSS) of +Bi2Te3. Furthermore, a spontaneous exchange bias is observed in hysteresis loop +measurements at low temperatures. This is because of an antiferromagnetic +topological interfacial layer formed by reaction of the diffused Ni with Bi2Te3 +which couples with the FM, Ni80Fe20. For increasing disorder of Bi2Te3, a +significant weakening of exchange interaction in the AFM interfacial layer is +found. These experimental results Abstract length is one paragraph.",2205.09913v1 +2022-12-24,Anatomy of ultrafast quantitative magneto-acoustics in freestanding nickel thin films,"We revisit the quantitative analysis of the ultrafast magneto-acoustic +experiment in a freestanding nickel thin film by Kim and Bigot [1] by applying +our recently proposed approach of magnetic and acoustic eigenmodes +decomposition by Vernik et al. [2]. We show that the application of our +modeling to the analysis of time-resolved reflectivity measurements allows for +the determination of amplitudes and lifetimes of standing perpendicular +acoustic phonon resonances with unprecedented accuracy. The acoustic damping is +found to scale as $\propto\omega^2$ for frequencies up to 80~GHz and the peak +amplitudes reach $10^{-3}$. The experimentally measured magnetization dynamics +for different orientations of an external magnetic field agrees well with +numerical solutions of magneto-elastically driven magnon harmonic oscillators. +Symmetry-based selection rules for magnon-phonon interactions predicted by our +modeling approach allow for the unambiguous discrimination between spatially +uniform and non-uniform modes, as confirmed by comparing the resonantly +enhanced magneto-elastic dynamics simultaneously measured on opposite sides of +the film. Moreover, the separation of time scales for (early) rising and (late) +decreasing precession amplitudes provide access to magnetic (Gilbert) and +acoustic damping parameters in a single measurement.",2212.12673v1 +2018-04-20,A Weakly Nonlinear Model for the Damping of Resonantly Forced Density Waves in Dense Planetary Rings,"In this paper we address the stability of resonantly forced density waves in +dense planetary rings. + Already by Goldreich & Tremaine (1978) it has been argued that density waves +might be unstable, depending on the relationship between the ring's viscosity +and the surface mass density. + In the recent paper Schmidt et al. (2016) we have pointed out that when - +within a fluid description of the ring dynamics - the criterion for viscous +overstability is satisfied, forced spiral density waves become unstable as +well. + In this case, linear theory fails to describe the damping, but nonlinearity +of the underlying equations guarantees a finite amplitude and eventually a +damping of the wave. + We apply the multiple scale formalism to derive a weakly nonlinear damping +relation from a hydrodynamical model. + This relation describes the resonant excitation and nonlinear viscous damping +of spiral density waves in a vertically integrated fluid disk with density +dependent transport coefficients. + The model consistently predicts density waves to be (linearly) unstable in a +ring region where the conditions for viscous overstability are met. + Sufficiently far away from the Lindblad resonance, the surface mass density +perturbation is predicted to saturate to a constant value due to nonlinear +viscous damping. + The wave's damping lengths of the model depend on certain input parameters, +such as the distance to the threshold for viscous overstability in parameter +space and the ground state surface mass density.",1804.07674v1 +2019-03-02,Complex Stiffness Model of Physical Human-Robot Interaction: Implications for Control of Performance Augmentation Exoskeletons,"Human joint dynamic stiffness plays an important role in the stability of +performance augmentation exoskeletons. In this paper, we consider a new +frequency domain model of the human joint dynamics which features a complex +value stiffness. This complex stiffness consists of a real stiffness and a +hysteretic damping. We use it to explain the dynamic behaviors of the human +connected to the exoskeleton, in particular the observed non-zero low frequency +phase shift and the near constant damping ratio of the resonant as stiffness +and inertia vary. We validate this concept by experimenting with an elbow-joint +exoskeleton testbed on a subject while modifying joint stiffness behavior, +exoskeleton inertia, and strength augmentation gains. We compare three +different models of elbow-joint dynamic stiffness: a model with real stiffness, +viscous damping and inertia, a model with complex stiffness and inertia, and a +model combining the previous two models. Our results show that the hysteretic +damping term improves modeling accuracy, using a statistical F-test. Moreover +this improvement is statistically more significant than using classical viscous +damping term. In addition, we experimentally observe a linear relationship +between the hysteretic damping and the real part of the stiffness which allows +us to simplify the complex stiffness model as a 1-parameter system. Ultimately, +we design a fractional order controller to demonstrate how human hysteretic +damping behavior can be exploited to improve strength amplification performance +while maintaining stability.",1903.00704v4 +2002-09-07,Neural network analysis of the magnetization reversal in magnetic dot arrays,"We simulated the remagnetization dynamics of the ultra-dense and ultra-thin +magnetic dot array system with dipole-dipole and exchange coupling +interactions. Within the proposed 2D XY superlattice model, the square dots are +modeled by the spatially modulated exchange-couplings. The dipole-dipole +interactions were approximated by the hierarchical sums and dynamics was +reduced to damping term of the Landau-Lifshitz-Gilbert equation. The simulation +of 40 000 spin system leads to nonequilibrium nonuniform configurations with +soliton-antisoliton pairs detected at intra-dot and inter-dot scales. The +classification of intra-dot magnetic configurations was performed using the +self-adaptive neural networks with varying number of neurons.",0209186v1 +2005-04-06,Macrospin Models of Spin Transfer Dynamics,"The current-induced magnetization dynamics of a spin valve are studied using +a macrospin (single domain) approximation and numerical solutions of a +generalized Landau-Lifshitz-Gilbert equation. For the purpose of quantitative +comparison with experiment [Kiselev {\it et al.} Nature {\bf 425}, 380 (2003)], +we calculate the resistance and microwave power as a function of current and +external field including the effects of anisotropies, damping, spin-transfer +torque, thermal fluctuations, spin-pumping, and incomplete absorption of +transverse spin current. While many features of experiment appear in the +simulations, there are two significant discrepancies: the current dependence of +the precession frequency and the presence/absence of a microwave quiet magnetic +phase with a distinct magnetoresistance signature. Comparison is made with +micromagnetic simulations designed to model the same experiment.",0504142v1 +2006-02-01,Mapping Monte Carlo to Langevin dynamics: A Fokker-Planck approach,"We propose a general method of using the Fokker-Planck equation (FPE) to link +the Monte-Carlo (MC) and the Langevin micromagnetic schemes. We derive the +drift and disusion FPE terms corresponding to the MC method and show that it is +analytically equivalent to the stochastic Landau-Lifshitz-Gilbert (LLG) +equation of Langevin-based micromagnetics. Subsequent results such as the time +quantification factor for the Metropolis MC method can be rigorously derived +from this mapping equivalence. The validity of the mapping is shown by the +close numerical convergence between the MC method and the LLG equation for the +case of a single magnetic particle as well as interacting arrays of particles. +We also found that our Metropolis MC is accurate for a large range of damping +factors $\alpha$, unlike previous time-quantified MC methods which break down +at low $\alpha$, where precessional motion dominates.",0602011v2 +2007-02-20,Spin dynamics in a superconductor / ferromagnet proximity system,"The ferromagnetic resonance of thin sputtered Ni80Fe20 films grown on Nb is +measured. By varying the temperature and thickness of the Nb the role of the +superconductivity on the whole ferromagnetic layer in these heterostructures is +explored. The change in the spin transport properties below the superconducting +transition of the Nb is found to manifest itself in the Ni80Fe20 layer by a +sharpening in the resonance of the ferromagnet, or a decrease in the effective +Gilbert damping co-efficient. This dynamic proximity effect is in contrast to +low frequency studies in these systems, where the effect of the superconductor +is confined to a small region in the ferromagnet. We interpret this in terms of +the spin pumping model.",0702461v1 +2007-02-21,"Domain wall mobility, stability and Walker breakdown in magnetic nanowires","We present an analytical calculation of the velocity of a single 180 degree +domain wall in a magnetic structure with reduced thickness and/or lateral +dimension under the combined action of an external applied magnetic field and +an electrical current. As for the case of field-induced domain wall propagation +in thick films, two motion regimes with different mobilities are obtained, +below and far above the so-called Walker field. Additionally, for the case of +current induced motion, a Walker-like current density threshold can be defined. +When the dimensions of the system become comparable to the domain wall width, +the threshold field and current density, stating the wall's internal structure +stability, are reduced by the same geometrical demagnetising factor which +accounts for the confinement. This points out the fact that the velocity +dependence over an extended field/current range and the knowledge of the Walker +breakdown are mandatory to draw conclusions about the phenomenological Gilbert +damping parameter tuning the magnetisation dynamics.",0702492v1 +2001-01-09,Hysteresis in layered spring magnets,"This article addresses a problem of micromagnetics: the reversal of magnetic +moments in layered spring magnets. A one-dimensional model is used of a film +consisting of several atomic layers of a soft material on top of several atomic +layers of a hard material. Each atomic layer is taken to be uniformly +magnetized, and spatial inhomogeneities within an atomic layer are neglected. +The state of such a system is described by a chain of magnetic spin vectors. +Each spin vector behaves like a spinning top driven locally by the effective +magnetic field and subject to damping (Landau-Lifshitz-Gilbert equation). A +numerical integration scheme for the LLG equation is presented that is +unconditionally stable and preserves the magnitude of the magnetization vector +at all times. The results of numerical investigations for a bilayer in a +rotating in-plane magnetic field show hysteresis with a basic period of $2\pi$ +at moderate fields and hysteresis with a basic period of $\pi$ at strong +fields.",0101077v1 +2005-01-01,Equatorial and related non-equilibrium states in magnetization dynamics of ferromagnets: Generalization of Suhl's spin-wave instabilities,"We investigate the nonlinear dynamics underlying the evolution of a 2-D +nanoscale ferromagnetic film with uniaxial anisotropy in the presence of +perpendicular pumping. Considering the associated Landau-Lifshitz spin +evolution equation with Gilbert damping together with Maxwell equation for the +demagnetization field, we study the dynamics in terms of the stereographic +variable. We identify several new fixed points for suitable choice of external +field in a rotating frame of reference. In particular, we identify explicit +equatorial and related fixed points of the spin vector in the plane transverse +to the anisotropy axis when the pumping frequency coincides with the amplitude +of the static parallel field. We then study the linear stability of these novel +fixed points under homogeneous and spin wave perturbations and obtain a +generalized Suhl's instability criterion, giving the condition for exponential +growth of P-modes under spin wave perturbations. Two parameter phase diagrams +(in terms of amplitudes of static parallel and oscillatory perpendicular +magnetic fields) for stability are obtained, which differ qualitatively from +those for the conventional ferromagnetic resonance near thermal equilibrium and +are amenable to experimental tests.",0501002v2 +2002-12-30,Stochastic resonance in periodic potentials: realization in a dissipative optical lattice,"We have observed the phenomenon of stochastic resonance on the Brillouin +propagation modes of a dissipative optical lattice. Such a mode has been +excited by applying a moving potential modulation with phase velocity equal to +the velocity of the mode. Its amplitude has been characterized by the +center-of-mass (CM) velocity of the atomic cloud. At Brillouin resonance, we +studied the CM-velocity as a function of the optical pumping rate at a given +depth of the potential wells. We have observed a resonant dependence of the CM +velocity on the optical pumping rate, corresponding to the noise strength. This +corresponds to the experimental observation of stochastic resonance in a +periodic potential in the low-damping regime.",0212156v1 +2007-05-03,Planar spin-transfer device with a dynamic polarizer,"In planar nano-magnetic devices magnetization direction is kept close to a +given plane by the large easy-plane magnetic anisotropy, for example by the +shape anisotropy in a thin film. In this case magnetization shows effectively +in-plane dynamics with only one angle required for its description. Moreover, +the motion can become overdamped even for small values of Gilbert damping. We +derive the equations of effective in-plane dynamics in the presence of +spin-transfer torques. The simplifications achieved in the overdamped regime +allow to study systems with several dynamic magnetic pieces (``free layers''). +A transition from a spin-transfer device with a static polarizer to a device +with two equivalent magnets is observed. When the size difference between the +magnets is less than critical, the device does not exhibit switching, but goes +directly into the ``windmill'' precession state.",0705.0406v1 +2007-09-18,Theory of current-driven magnetization dynamics in inhomogeneous ferromagnets,"We give a brief account of recent developments in the theoretical +understanding of the interaction between electric currents and inhomogeneous +ferromagnetic order parameters. We start by discussing the physical origin of +the spin torques responsible for this interaction and construct a +phenomenological description. We then consider the electric current-induced +ferromagnetic instability and domain-wall motion. Finally, we present a +microscopic justification of the phenomenological description of current-driven +magnetization dynamics, with particular emphasis on the dissipative terms, the +so-called Gilbert damping $\alpha$ and the $\beta$ component of the adiabatic +current-driven torque.",0709.2937v2 +2008-02-12,Temperature dependent magnetization dynamics of magnetic nanoparticles,"Recent experimental and theoretical studies show that the switching behavior +of magnetic nanoparticles can be well controlled by external time-dependent +magnetic fields. In this work, we inspect theoretically the influence of the +temperature and the magnetic anisotropy on the spin-dynamics and the switching +properties of single domain magnetic nanoparticles (Stoner-particles). Our +theoretical tools are the Landau-Lifshitz-Gilbert equation extended as to deal +with finite temperatures within a Langevine framework. Physical quantities of +interest are the minimum field amplitudes required for switching and the +corresponding reversal times of the nanoparticle's magnetic moment. In +particular, we contrast the cases of static and time-dependent external fields +and analyze the influence of damping for a uniaxial and a cubic anisotropy.",0802.1740v1 +2008-06-28,Theory of spin magnetohydrodynamics,"We develop a phenomenological hydrodynamic theory of coherent magnetic +precession coupled to electric currents. Exchange interaction between electron +spin and collective magnetic texture produces two reciprocal effects: +spin-transfer torque on the magnetic order parameter and the Berry-phase gauge +field experienced by the itinerant electrons. The dissipative processes are +governed by three coefficients: the ohmic resistance, Gilbert damping of the +magnetization, and the ""beta coefficient"" describing viscous coupling between +magnetic dynamics and electric current, which stems from spin mistracking of +the magnetic order. We develop general magnetohydrodynamic equations and +discuss the net dissipation produced by the coupled dynamics. The latter in +particular allows us to determine a lower bound on the magnetic-texture +resistivity.",0806.4656v2 +2008-09-25,The theory of magnetic field induced domain-wall propagation in magnetic nanowires,"A global picture of magnetic domain wall (DW) propagation in a nanowire +driven by a magnetic field is obtained: A static DW cannot exist in a +homogeneous magnetic nanowire when an external magnetic field is applied. Thus, +a DW must vary with time under a static magnetic field. A moving DW must +dissipate energy due to the Gilbert damping. As a result, the wire has to +release its Zeeman energy through the DW propagation along the field direction. +The DW propagation speed is proportional to the energy dissipation rate that is +determined by the DW structure. An oscillatory DW motion, either the precession +around the wire axis or the breath of DW width, should lead to the speed +oscillation.",0809.4311v1 +2008-10-08,Transverse spin diffusion in ferromagnets,"We discuss the dissipative diffusion-type term of the form +$\mathbf{m}\times\nabla^2\partial_t\mathbf{m}$ in the phenomenological +Landau-Lifshitz equation of ferromagnetic precession, which describes enhanced +Gilbert damping of finite-momentum spin waves. This term arises physically from +itinerant-electron spin flows through a perturbed ferromagnetic configuration +and can be understood to originate in the ferromagnetic spin pumping in the +continuum limit. We develop a general phenomenology as well as provide +microscopic theory for the Stoner and s-d models of ferromagnetism, taking into +account disorder and electron-electron scattering. The latter is manifested in +our problem through the Coulomb drag between the spin bands. The spin diffusion +is identified in terms of the transverse spin conductivity, in analogy with the +Einstein relation in the kinetic theory.",0810.1340v2 +2008-10-16,Interaction of reed and acoustic resonator in clarinetlike systems,"Sound emergence in clarinetlike instruments is investigated in terms of +instability of the static regime. Various models of reed-bore coupling are +considered, from the pioneering work of Wilson and Beavers [""Operating modes of +the clarinet"", J. Acoust. Soc. Am. 56, 653--658 (1974)] to more recent modeling +including viscothermal bore losses and vena contracta at the reed inlet. The +pressure threshold above which these models may oscillate as well as the +frequency of oscillation at threshold are calculated. In addition to Wilson and +Beavers' previous conclusions concerning the role of the reed damping in the +selection of the register the instrument will play on, the influence of the +reed motion induced flow is also emphasized, particularly its effect on playing +frequencies, contributing to reduce discrepancies between Wilson and Beavers' +experimental results and theory, despite discrepancies still remain concerning +the pressure threshold. Finally, analytical approximations of the oscillating +solution based on Fourier series expansion are obtained in the vicinity of the +threshold of oscillation. This allows to emphasize the conditions which +determine the nature of the bifurcation (direct or inverse) through which the +note may emerge, with therefore important consequences on the musical playing +performances.",0810.2870v1 +2008-12-13,Non-Adiabatic Spin Transfer Torque in Real Materials,"The motion of simple domain walls and of more complex magnetic textures in +the presence of a transport current is described by the +Landau-Lifshitz-Slonczewski (LLS) equations. Predictions of the LLS equations +depend sensitively on the ratio between the dimensionless material parameter +$\beta$ which characterizes non-adiabatic spin-transfer torques and the Gilbert +damping parameter $\alpha$. This ratio has been variously estimated to be close +to 0, close to 1, and large compared to 1. By identifying $\beta$ as the +influence of a transport current on $\alpha$, we derive a concise, explicit and +relatively simple expression which relates $\beta$ to the band structure and +Bloch state lifetimes of a magnetic metal. Using this expression we demonstrate +that intrinsic spin-orbit interactions lead to intra-band contributions to +$\beta$ which are often dominant and can be (i) estimated with some confidence +and (ii) interpreted using the ""breathing Fermi surface"" model.",0812.2570v1 +2009-05-29,Ferromagnetic resonance linewidth in ultrathin films with perpendicular magnetic anisotropy,"Transition metal ferromagnetic films with perpendicular magnetic anisotropy +(PMA) have ferromagnetic resonance (FMR) linewidths that are one order of +magnitude larger than soft magnetic materials, such as pure iron (Fe) and +permalloy (NiFe) thin films. A broadband FMR setup has been used to investigate +the origin of the enhanced linewidth in Ni$|$Co multilayer films with PMA. The +FMR linewidth depends linearly on frequency for perpendicular applied fields +and increases significantly when the magnetization is rotated into the film +plane. Irradiation of the film with Helium ions decreases the PMA and the +distribution of PMA parameters. This leads to a great reduction of the FMR +linewidth for in-plane magnetization. These results suggest that fluctuations +in PMA lead to a large two magnon scattering contribution to the linewidth for +in-plane magnetization and establish that the Gilbert damping is enhanced in +such materials ($\alpha \approx 0.04$, compared to $\alpha \approx 0.002$ for +pure Fe).",0905.4779v2 +2009-10-01,Spin motive forces and current fluctuations due to Brownian motion of domain walls,"We compute the power spectrum of the noise in the current due to spin motive +forces by a fluctuating domain wall. We find that the power spectrum of the +noise in the current is colored, and depends on the Gilbert damping, the spin +transfer torque parameter $\beta$, and the domain-wall pinning potential and +magnetic anisotropy. We also determine the average current induced by the +thermally-assisted motion of a domain wall that is driven by an external +magnetic field. Our results suggest that measuring the power spectrum of the +noise in the current in the presence of a domain wall may provide a new method +for characterizing the current-to-domain-wall coupling in the system.",0910.0163v1 +2009-10-08,Fast domain wall propagation under an optimal field pulse in magnetic nanowires,"We investigate field-driven domain wall (DW) propagation in magnetic +nanowires in the framework of the Landau-Lifshitz-Gilbert equation. We propose +a new strategy to speed up the DW motion in a uniaxial magnetic nanowire by +using an optimal space-dependent field pulse synchronized with the DW +propagation. Depending on the damping parameter, the DW velocity can be +increased by about two orders of magnitude compared the standard case of a +static uniform field. Moreover, under the optimal field pulse, the change in +total magnetic energy in the nanowire is proportional to the DW velocity, +implying that rapid energy release is essential for fast DW propagation.",0910.1477v2 +2009-11-24,Origin of adiabatic and non-adiabatic spin transfer torques in current-driven magnetic domain wall motion,"A consistent theory to describe the correlated dynamics of quantum mechanical +itinerant spins and semiclassical local magnetization is given. We consider the +itinerant spins as quantum mechanical operators, whereas local moments are +considered within classical Lagrangian formalism. By appropriately treating +fluctuation space spanned by basis functions, including a zero-mode wave +function, we construct coupled equations of motion for the collective +coordinate of the center-of-mass motion and the localized zero-mode coordinate +perpendicular to the domain wall plane. By solving them, we demonstrate that +the correlated dynamics is understood through a hierarchy of two time scales: +Boltzmann relaxation time when a non-adiabatic part of the spin-transfer torque +appears, and Gilbert damping time when adiabatic part comes up.",0911.4628v1 +2010-01-26,Strategies and tolerances of spin transfer torque switching,"Schemes of switching nanomagnetic memories via the effect of spin torque with +various polarizations of injected electrons are studied. Simulations based on +macrospin and micromagnetic theories are performed and compared. We demonstrate +that switching with perpendicularly polarized current by short pulses and free +precession requires smaller time and energy than spin torque switching with +collinear in plane spin polarization; it is also found to be superior to other +kinds of memories. We study the tolerances of switching to the magnitude of +current and pulse duration. An increased Gilbert damping is found to improve +tolerances of perpendicular switching without increasing the threshold current, +unlike in plane switching.",1001.4578v1 +2010-03-31,Magnonic Crystal with Two-Dimensional Periodicity as a Waveguide for Spin Waves,"We describe a simple method of including dissipation in the spin wave band +structure of a periodic ferromagnetic composite, by solving the Landau-Lifshitz +equation for the magnetization with the Gilbert damping term. We use this +approach to calculate the band structure of square and triangular arrays of Ni +nanocylinders embedded in an Fe host. The results show that there are certain +bands and special directions in the Brillouin zone where the spin wave lifetime +is increased by more than an order of magnitude above its average value. Thus, +it may be possible to generate spin waves in such composites decay especially +slowly, and propagate especially large distances, for certain frequencies and +directions in ${\bf k}$-space.",1003.6092v1 +2010-07-20,Precessing vortices and antivortices in ferromagnetic elements,"A micromagnetic numerical study of the precessional motion of the vortex and +antivortex states in soft ferromagnetic circular nanodots is presented using +Landau-Lifshitz-Gilbert dynamics. For sufficiently small dot thickness and +diameter, the vortex state is metastable and spirals toward the center of the +dot when its initial displacement is smaller than a critical value. Otherwise, +the vortex spirals away from the center and eventually exits the dot which +remains in a state of in-plane magnetization (ground state). In contrast, the +antivortex is always unstable and performs damped precession resulting in +annihilation at the dot circumference. The vortex and antivortex frequencies of +precession are compared with the response expected on the basis of Thiele's +theory of collective coordinates. We also calculate the vortex restoring force +with an explicit account of the magnetostatic and exchange interaction on the +basis of the 'rigid' vortex and 'two-vortices side charges free' models and +show that neither model explains the vortex translation mode eigenfrequency for +nanodots of sufficiently small size.",1007.3508v1 +2010-08-03,Determination of the spin-flip time in ferromagnetic SrRuO3 from time-resolved Kerr measurements,"We report time-resolved Kerr effect measurements of magnetization dynamics in +ferromagnetic SrRuO3. We observe that the demagnetization time slows +substantially at temperatures within 15K of the Curie temperature, which is ~ +150K. We analyze the data with a phenomenological model that relates the +demagnetization time to the spin flip time. In agreement with our observations +the model yields a demagnetization time that is inversely proportional to T-Tc. +We also make a direct comparison of the spin flip rate and the Gilbert damping +coefficient showing that their ratio very close to kBTc, indicating a common +origin for these phenomena.",1008.0674v1 +2010-10-07,Power optimization for domain wall motion in ferromagnetic nanowires,"The current mediated domain-wall dynamics in a thin ferromagnetic wire is +investigated. We derive the effective equations of motion of the domain wall. +They are used to study the possibility to optimize the power supplied by +electric current for the motion of domain walls in a nanowire. We show that a +certain resonant time-dependent current moving a domain wall can significantly +reduce the Joule heating in the wire, and thus it can lead to a novel proposal +for the most energy efficient memory devices. We discuss how Gilbert damping, +non-adiabatic spin transfer torque, and the presence of Dzyaloshinskii-Moriya +interaction can effect this power optimization.",1010.1537v1 +2011-07-04,Influence of randomness and retardation on the FMR-linewidth,"The theory predicts that the spin-wave lifetime $\tau_L$ and the linewidth of +ferromagnetic resonance $\Delta B$ can be governed by random fields and spatial +memory. To that aim the effective field around which the magnetic moments +perform a precession is superimposed by a stochastic time dependent magnetic +field with finite correlation time. The magnetization dynamics is altered by +inclusion of a spatial memory effect monitoring a non-local interaction of size +$\xi$. The underlying Landau-Lifshitz-Gilbert equation (LLG) is modified +accordingly. The stochastic LLG is equivalent to a Fokker-Planck equation which +enables to calculate the mean values of the magnetization vector. Within the +spin-wave approximation we present an analytical solution for the excitation +energy and its damping. The lifetime and the linewidth are analyzed depending +on the strength of the random field $D$ and its correlation time $\tau_c$ as +well as the retardation strength $\Gamma_0$ and the size $\xi$. Whereas +$\tau_L$ decreases with increasing $D$, retardation strength $\Gamma_0$ and +$\tau_c$, the lifetime is enhanced for growing width $\xi$ of the spatial +retardation kernel. In the same manner we calculate the experimentally +measurable linewidth $\Delta B$ is increased strongly when the correlation time +$\tau_c$ ranges in the nanosecond interval.",1107.0638v1 +2012-04-23,Rotating skyrmion lattices by spin torques and field or temperature gradients,"Chiral magnets like MnSi form lattices of skyrmions, i.e. magnetic whirls, +which react sensitively to small electric currents j above a critical current +density jc. The interplay of these currents with tiny gradients of either the +magnetic field or the temperature can induce a rotation of the magnetic pattern +for j>jc. Either a rotation by a finite angle of up to 15 degree or -- for +larger gradients -- a continuous rotation with a finite angular velocity is +induced. We use Landau-Lifshitz-Gilbert equations extended by extra damping +terms in combination with a phenomenological treatment of pinning forces to +develop a theory of the relevant rotational torques. Experimental neutron +scattering data on the angular distribution of skyrmion lattices suggests that +continuously rotating domains are easy to obtain in the presence of remarkably +small currents and temperature gradients.",1204.5051v1 +2013-02-19,Chirality Sensitive Domain Wall Motion in Spin-Orbit Coupled Ferromagnets,"Using the Lagrangian formalism, we solve analytically the equations of motion +for current-induced domain-wall dynamics in a ferromagnet with Rashba +spin-orbit coupling. An exact solution for the domain wall velocity is +provided, including the effect of non-equilibrium conduction electron +spin-density, Gilbert damping, and the Rashba interaction parameter. We +demonstrate explicitly that the influence of spin-orbit interaction can be +qualitatively different from the role of non-adiabatic spin-torque in the sense +that the former is sensitive to the chirality of the domain wall whereas the +latter is not: the domain wall velocity shows a reentrant behavior upon +changing the chirality of the domain wall. This could be used to experimentally +distinguish between the spin-orbit and non-adiabatic contribution to the wall +speed. A quantitative estimate for the attainable domain wall velocity is +given, based on an experimentally relevant set of parameters for the system.",1302.4744v1 +2013-12-17,Control of the in-plane anisotropy in off-stoichiometric NiMnSb,"NiMnSb is a ferromagnetic half-metal which, because of its rich anisotropy +and very low Gilbert damping, is a promising candidate for applications in +information technologies. We have investigated the in-plane anisotropy +properties of thin, MBE-grown NiMnSb films as a function of their Mn +concentration. Using ferromagnetic resonance (FMR) to determine the uniaxial +and four-fold anisotropy fields, 2KU/Ms and 2K1/Ms, we find that a small +variation in composition is sufficient to change the film from primarily +four-fold to primarily uniaxial behavior, allowing for continuous tuning of the +anisotropy. This provides valuable flexibility in designing new device +geometries.",1312.4781v2 +2014-05-09,Current-induced magnetization dynamics in two magnetic insulators separated by a normal metal,"We study the dynamics of spin valves consisting of two layers of magnetic +insulators separated by a normal metal in the macrospin model. A current +through the spacer generates a spin Hall current that can actuate the +magnetization via the spin-transfer torque. We derive expressions for the +effective Gilbert damping and the critical currents for the onset of +magnetization dynamics including the effects of spin pumping that can be tested +by ferromagnetic resonance experiments. The current generates an amplitude +asymmetry between the in-phase and out-of-phase modes. We briefly discuss +superlattices of metals and magnetic insulators.",1405.2267v1 +2014-05-25,Spin Hall phenomenology of magnetic dynamics,"We study the role of spin-orbit interactions in the coupled magnetoelectric +dynamics of a ferromagnetic film coated with an electrical conductor. While the +main thrust of this work is phenomenological, several popular simple models are +considered microscopically in some detail, including Rashba and Dirac +two-dimensional electron gases coupled to a magnetic insulator, as well as a +diffusive spin Hall system. We focus on the long-wavelength magnetic dynamics +that experiences current-induced torques and produces fictitious electromotive +forces. Our phenomenology provides a suitable framework for analyzing +experiments on current-induced magnetic dynamics and reciprocal charge pumping, +including the effects of magnetoresistance and Gilbert-damping anisotropies, +without a need to resort to any microscopic considerations or modeling. +Finally, some remarks are made regarding the interplay of spin-orbit +interactions and magnetic textures.",1405.6354v2 +2014-08-21,Brownian motion of massive skyrmions forced by spin polarized currents,"We report on the thermal effects on the motion of current-driven massive +magnetic skyrmions. The reduced equation for the motion of skyrmion has the +form of a stochastic generalized Thiele's equation. We propose an ansatz for +the magnetization texture of a non-rigid single skyrmion that depends linearly +with the velocity. By utilizing this ansatz it is is found that the mass of +skyrmion is closely related to intrinsic skyrmion parameters, such as Gilbert +damping, skyrmion-charge and dissipative force. We have found an exact +expression for the average drift velocity as well as the mean-square velocity +of the skyrmion. The longitudinal and transverse mobility of skyrmions for +small spin-velocity of electrons is also determined and found to be independent +of the skyrmion mass.",1408.4861v2 +2014-11-11,Capturing of a Magnetic Skyrmion with a Hole,"Magnetic whirls in chiral magnets, so-called skyrmions, can be manipulated by +ultrasmall current densities. Here we study both analytically and numerically +the interactions of a single skyrmion in two dimensions with a small hole in +the magnetic layer. Results from micromagnetic simulations are in good +agreement with effective equations of motion obtained from a generalization of +the Thiele approach. Skyrmion-defect interactions are described by an effective +potential with both repulsive and attractive components. For small current +densities a previously pinned skyrmion stays pinned whereas an unpinned +skyrmion moves around the impurities and never gets captured. For higher +current densities, j_c1 < j < j_c2, however, single holes are able to capture +moving skyrmions. The maximal cross section is proportional to the skyrmion +radius and to Sqrt(alpha), where alpha is the Gilbert damping. For j > j_c2 all +skyrmions are depinned. Small changes of the magnetic field strongly change the +pinning properties, one can even reach a regime without pinning, j_c2=0. We +also show that a small density of holes can effectively accelerate the motion +of the skyrmion and introduce a Hall effect for the skyrmion.",1411.2857v1 +2015-04-01,Multiscale modeling of ultrafast element-specific magnetization dynamics of ferromagnetic alloys,"A hierarchical multiscale approach to model the magnetization dynamics of +ferromagnetic ran- dom alloys is presented. First-principles calculations of +the Heisenberg exchange integrals are linked to atomistic spin models based +upon the stochastic Landau-Lifshitz-Gilbert (LLG) equation to calculate +temperature-dependent parameters (e.g., effective exchange interactions, +damping param- eters). These parameters are subsequently used in the +Landau-Lifshitz-Bloch (LLB) model for multi-sublattice magnets to calculate +numerically and analytically the ultrafast demagnetization times. The developed +multiscale method is applied here to FeNi (permalloy) as well as to copper- +doped FeNi alloys. We find that after an ultrafast heat pulse the Ni sublattice +demagnetizes faster than the Fe sublattice for the here-studied FeNi-based +alloys.",1504.00199v1 +2015-05-04,High-topological-number magnetic skyrmions and topologically protected dissipative structure,"The magnetic skyrmion with the topological number of unity ($Q=1$) is a +well-known nanometric swirling spin structure in the nonlinear $\sigma$ model +with the Dzyaloshinskii-Moriya interaction. Here, we show that magnetic +skyrmion with the topological number of two ($Q=2$) can be created and +stabilized by applying vertical spin-polarized current though it cannot exist +as a static stable excitation. Magnetic skyrmion with $Q=2$ is a nonequilibrium +dynamic object, subsisting on a balance between the energy injection from the +current and the energy dissipation by the Gilbert damping. Once it is created, +it becomes a topologically protected object against fluctuations of various +variables including the injected current itself. Hence, we may call it a +topologically protected dissipative structure. We also elucidate the nucleation +and destruction mechanisms of the magnetic skyrmion with $Q=2$ by studying the +evolutions of the magnetization distribution, the topological charge density as +well as the energy density. Our results will be useful for the study of the +nontrivial topology of magnetic skyrmions with higher topological numbers.",1505.00522v2 +2015-08-06,Large spin-wave bullet in a ferrimagnetic insulator driven by spin Hall effect,"Due to its transverse nature, spin Hall effects (SHE) provide the possibility +to excite and detect spin currents and magnetization dynamics even in magnetic +insulators. Magnetic insulators are outstanding materials for the investigation +of nonlinear phenomena and for novel low power spintronics applications because +of their extremely low Gilbert damping. Here, we report on the direct imaging +of electrically driven spin-torque ferromagnetic resonance (ST-FMR) in the +ferrimagnetic insulator Y$_3$Fe$_5$O$_{12}$ based on the excitation and +detection by SHEs. The driven spin dynamics in Y$_3$Fe$_5$O$_{12}$ is directly +imaged by spatially-resolved microfocused Brillouin light scattering (BLS) +spectroscopy. Previously, ST-FMR experiments assumed a uniform precession +across the sample, which is not valid in our measurements. A strong spin-wave +localization in the center of the sample is observed indicating the formation +of a nonlinear, self-localized spin-wave `bullet'.",1508.01427v1 +2016-02-23,Relaxation of a classical spin coupled to a strongly correlated electron system,"A classical spin which is antiferromagnetically coupled to a system of +strongly correlated conduction electrons is shown to exhibit unconventional +real-time dynamics which cannot be described by Gilbert damping. Depending on +the strength of the local Coulomb interaction, the two main electronic +dissipation channels, transport of excitations via correlated hopping and via +excitations of correlation-induced magnetic moments, become active on largely +different time scales. We demonstrate that this can lead to a prethermalization +scenario which so far has been observed in purely electronic systems only and +which is governed here by proximity to the divergent magnetic time scale in the +infinite-U limit.",1602.07317v2 +2016-04-24,Coupled Spin-Light dynamics in Cavity Optomagnonics,"Experiments during the past two years have shown strong resonant +photon-magnon coupling in microwave cavities, while coupling in the optical +regime was demonstrated very recently for the first time. Unlike with +microwaves, the coupling in optical cavities is parametric, akin to +optomechanical systems. This line of research promises to evolve into a new +field of optomagnonics, aimed at the coherent manipulation of elementary +magnetic excitations by optical means. In this work we derive the microscopic +optomagnonic Hamiltonian. In the linear regime the system reduces to the +well-known optomechanical case, with remarkably large coupling. Going beyond +that, we study the optically induced nonlinear classical dynamics of a +macrospin. In the fast cavity regime we obtain an effective equation of motion +for the spin and show that the light field induces a dissipative term +reminiscent of Gilbert damping. The induced dissipation coefficient however can +change sign on the Bloch sphere, giving rise to self-sustained oscillations. +When the full dynamics of the system is considered, the system can enter a +chaotic regime by successive period doubling of the oscillations.",1604.07053v3 +2016-05-12,Classical limit of Rabi nutations in spins of ferromagnets,"Rabi oscillations describe the interaction of a two-level system with a +rotating electromagnetic field. As such, they serve as the principle method for +manipulating quantum bits. By using a combination of femtosecond laser pulses +and microwave excitations, we have observed the classical form of Rabi +nutations in a ferromagnetic system whose equations of motion mirror the case +of a precessing quantum two-level system. Key to our experiments is the +selection of a subset of spins that is in resonance with the microwave +excitation and whose coherence time is thereby extended. Taking advantage of +Gilbert damping, the relaxation times are further increased such that +mode-locking takes place. The observation of such Rabi nutations is the first +step towards potential applications based on phase-coherent spin manipulation +in ferromagnets.",1605.03996v1 +2016-05-21,Landau-Lifshitz theory of the magnon-drag thermopower,"Metallic ferromagnets subjected to a temperature gradient exhibit a magnonic +drag of the electric current. We address this problem by solving a stochastic +Landau-Lifshitz equation to calculate the magnon-drag thermopower. The +long-wavelength magnetic dynamics result in two contributions to the +electromotive force acting on electrons: (1) An adiabatic Berry-phase force +related to the solid angle subtended by the magnetic precession and (2) a +dissipative correction thereof, which is rooted microscopically in the +spin-dephasing scattering. The first contribution results in a net force +pushing the electrons towards the hot side, while the second contribution drags +electrons towards the cold side, i.e., in the direction of the magnonic drift. +The ratio between the two forces is proportional to the ratio between the +Gilbert damping coefficient $\alpha$ and the coefficient $\beta$ parametrizing +the dissipative contribution to the electromotive force.",1605.06578v1 +2016-10-04,Magnetomechanical coupling and ferromagnetic resonance in magnetic nanoparticles,"We address the theory of the coupled lattice and magnetization dynamics of +freely suspended single-domain nanoparticles. Magnetic anisotropy generates +low-frequency satellite peaks in the microwave absorption spectrum and a +blueshift of the ferromagnetic resonance (FMR) frequency. The low-frequency +resonances are very sharp with maxima exceeding that of the FMR, because their +magnetic and mechanical precessions are locked, thereby suppressing Gilbert +damping. Magnetic nanoparticles can operate as nearly ideal motors that convert +electromagnetic into mechanical energy. The Barnett/Einstein-de Haas effect is +significant even in the absence of a net rotation.",1610.01072v2 +2016-10-05,Finite-dimensional colored fluctuation-dissipation theorem for spin systems,"When nano-magnets are coupled to random external sources, their magnetization +becomes a random variable, whose properties are defined by an induced +probability density, that can be reconstructed from its moments, using the +Langevin equation, for mapping the noise to the dynamical degrees of freedom. +When the spin dynamics is discretized in time, a general +fluctuation-dissipation theorem, valid for non-Markovian noise, can be +established, even when zero modes are present. We discuss the subtleties that +arise, when Gilbert damping is present and the mapping between noise and spin +degrees of freedom is non--linear.",1610.01622v1 +2017-10-30,Probe of Spin Dynamics in Superconducting NbN Thin Films via Spin Pumping,"The emerging field of superconductor (SC) spintronics has attracted intensive +attentions recently. Many fantastic spin dependent properties in SC have been +discovered, including the observation of large magnetoresistance, long spin +lifetimes and the giant spin Hall effect in SC, as well as spin supercurrent in +Josephson junctions, etc. Regarding the spin dynamic in SC films, few studies +has been reported yet. Here, we report the investigation of the spin dynamics +in an s-wave superconducting NbN film via spin pumping from an adjacent +insulating ferromagnet GdN layer. A profound coherence peak of the Gilbert +damping is observed slightly below the superconducting critical temperature of +the NbN layer, which is consistent with recent theoretical studies. Our results +further indicate that spin pumping could be a powerful tool for investigating +the spin dynamics in 2D crystalline superconductors.",1710.10833v2 +2017-11-17,Shot noise of charge and spin transport in a junction with a precessing molecular spin,"Magnetic molecules and nanomagnets can be used to influence the electronic +transport in mesoscopic junction. In a magnetic field the precessional motion +leads to resonances in the dc- and ac-transport properties of a nanocontact, in +which the electrons are coupled to the precession. Quantities like the +dc-conductance or the ac-response provide valuable information like the level +structure and the coupling parameters. Here, we address the current noise +properties of such contacts. This encompasses the charge current and +spin-torque shot noise, which both show a step-like behavior as functions of +bias voltage and magnetic field. The charge current noise shows pronounced dips +around the steps, which we trace back to interference effects of electron in +quasienergy levels coupled by the molecular spin precession. We show that some +components of the noise of the spin-torque currents are directly related to the +Gilbert damping and, hence, are experimentally accessible. Our results show +that the noise characteristics allow to investigate in more detail the +coherence of spin transport in contacts containing magnetic molecules.",1711.06759v2 +2019-06-17,Controlling acoustic waves using magnetoelastic Fano resonances,"We propose and analyze theoretically a class of energy-efficient +magneto-elastic devices for analogue signal processing. The signals are carried +by transverse acoustic waves while the bias magnetic field controls their +scattering from a magneto-elastic slab. By tuning the bias field, one can alter +the resonant frequency at which the propagating acoustic waves hybridize with +the magnetic modes, and thereby control transmission and reflection +coefficients of the acoustic waves. The scattering coefficients exhibit +Breit-Wigner/Fano resonant behaviour akin to inelastic scattering in atomic and +nuclear physics. Employing oblique incidence geometry, one can effectively +enhance the strength of magnetoelastic coupling, and thus countermand the +magnetic losses due to the Gilbert damping. We apply our theory to discuss +potential benefits and issues in realistic systems and suggest further routes +to enhance performance of the proposed devices.",1906.07297v2 +2017-06-02,Power Loss for a Periodically Driven Ferromagnetic Nanoparticle in a Viscous Fluid: the Finite Anisotropy Aspects,"The joint magnetic and mechanical motion of a ferromagnetic nanoparticle in a +viscous fluid is considered within the dynamical approach. The equation based +on the total momentum conservation law is used for the description of the +mechanical rotation, while the modified Landau-Lifshitz-Gilbert equation is +utilized for the description of the internal magnetic dynamics. The exact +expressions for the particles trajectories and the power loss are obtained in +the linear approximation. The comparison with the results of other widespread +approaches, such as the model of fixed particle and the model of frozen +magnetic moment, is performed. It is established that in the small oscillations +mode the damping precession of the nanopartile magnetic moment is the main +channel of energy dissipation, but the motion of the nanoparticle easy axis can +significantly influence the value of the resulting power loss.",1706.00777v2 +2017-06-07,Adiabatic and nonadiabatic spin torques induced by spin-triplet supercurrent,"We study spin transfer torques induced by a spin-triplet supercurrent in a +magnet with the superconducting proximity effect. By a perturbative approach, +we show that spin-triplet correlations realize new types of torques, which are +analogous to the adiabatic and non-adiabatic ($\beta$) torques, without +extrinsic spin-flip scattering. Remarkable advantages compared to conventional +spin-transfer torques are highlighted in domain wall manipulation. Oscillatory +motions of a domain wall do not occur for a small Gilbert damping, and the +threshold current density to drive its motion becomes zero in the absence of +extrinsic pinning potentials due to the nonadiabatic torque controlled by the +triplet correlations.",1706.02296v2 +2017-06-26,Perpendicular magnetic anisotropy in insulating ferrimagnetic gadolinium iron garnet thin films,"We present experimental control of the magnetic anisotropy in a gadolinium +iron garnet (GdIG) thin film from in-plane to perpendicular anisotropy by +simply changing the sample temperature. The magnetic hysteresis loops obtained +by SQUID magnetometry measurements unambiguously reveal a change of the +magnetically easy axis from out-of-plane to in-plane depending on the sample +temperature. Additionally, we confirm these findings by the use of temperature +dependent broadband ferromagnetic resonance spectroscopy (FMR). In order to +determine the effective magnetization, we utilize the intrinsic advantage of +FMR spectroscopy which allows to determine the magnetic anisotropy independent +of the paramagnetic substrate, while magnetometry determines the combined +magnetic moment from film and substrate. This enables us to quantitatively +evaluate the anisotropy and the smooth transition from in-plane to +perpendicular magnetic anisotropy. Furthermore, we derive the temperature +dependent $g$-factor and the Gilbert damping of the GdIG thin film.",1706.08488v1 +2017-09-07,Tunable spin pumping in exchange coupled magnetic trilayers,"Magnetic thin films at ferromagnetic resonance (FMR) leak angular momentum, +which may be absorbed by adjacent layers. This phenomenon, known as spin +pumping, is manifested by an increase in the resonance linewidth ($\Delta H$), +and the closely related Gilbert damping. Another effect of this transfer of +spin currents is a dynamical and long-range coupling that can drive two +magnetic layers into a collective precession when their FMR frequencies +coincide. A collective behavior is also found in magnetic trilayers with +interlayer exchange coupling (IEC). In this study we investigate the interplay +between IEC and spin pumping, using Co/Cu/Py pseudo-spin values. We employ +broadband FMR spectroscopy to explore both the frequency and coupling-strength +dependence of $\Delta H$. Our observations show that there exists a cut-off +frequency, set by the IEC strength, below which the precession is truly +collective and the spin pumping is suppressed. These results demonstrate that +it is possible to control the spin pumping efficiency by varying the frequency +or the interlayer exchange coupling.",1709.02295v1 +2018-08-23,Reduced thermal stability of antiferromagnetic nanostructures,"Antiferromagnetic materials hold promising prospects in novel types of +spintronics applications. Assessing the stability of antiferromagnetic +nanostructures against thermal excitations is a crucial aspect of designing +devices with a high information density. Here we use theoretical calculations +and numerical simulations to determine the mean switching time of +antiferromagnetic nanoparticles in the superparamagnetic limit. It is +demonstrated that the thermal stability is drastically reduced compared to +ferromagnetic particles in the limit of low Gilbert damping, attributed to the +exchange enhancement of the attempt frequencies. It is discussed how the system +parameters have to be engineered in order to optimize the switching rates in +antiferromagnetic nanoparticles.",1808.07665v3 +2018-10-19,Magnon properties of random alloys,"We study magnon properties in terms of spin stiffness, Curie temperatures and +magnon spectrum of Fe-Ni, Co-Ni and Fe-Co random alloys using a combination of +electronic structure calculations and atomistic spin dynamics simulations. +Influence of the disorder are studied in detail by use of large supercells with +random atomic arrangement. It is found that disorder affects the magnon +spectrum in vastly different ways depending on the system. Specifically, it is +more pronounced in Fe-Ni alloys compared to Fe-Co alloys. In particular, the +magnon spectrum at room temperature in Permalloy (Fe$_{20}$Ni$_{80}$) is found +to be rather diffuse in a large energy interval while in Fe$_{75}$Co$_{25}$ it +forms sharp branches. Fe-Co alloys are very interesting from a technological +point of view due to the combination of large Curie temperatures and very low +calculated Gilbert damping of $\sim$0.0007 at room temperature for Co +concentrations around 20--30\%.",1810.08487v1 +2015-12-02,Bose-Einstein Condensation of Magnons Pumped by the Bulk Spin Seebeck Effect,"We propose inducing Bose-Einstein condensation of magnons in a magnetic +insulator by a heat flow oriented toward its boundary. At a critical heat flux, +the oversaturated thermal gas of magnons accumulated at the boundary +precipitates the condensate, which then grows gradually as the thermal bias is +dialed up further. The thermal magnons thus pumped by the magnonic bulk (spin) +Seebeck effect must generally overcome both the local Gilbert damping +associated with the coherent magnetic dynamics as well as the radiative +spin-wave losses toward the magnetic bulk, in order to achieve the threshold of +condensation. We quantitatively estimate the requisite bias in the case of the +ferrimagnetic yttrium iron garnet, discuss different physical regimes of +condensation, and contrast it with the competing (so-called Doppler-shift) bulk +instability.",1512.00557v1 +2008-11-13,"Intrinsic Coupling between Current and Domain Wall Motion in (Ga,Mn)As","We consider current-induced domain wall motion and, the reciprocal process, +moving domain wall-induced current. The associated Onsager coefficients are +expressed in terms of scattering matrices. Uncommonly, in (Ga,Mn)As, the +effective Gilbert damping coefficient $\alpha_w$ and the effective out-of-plane +spin transfer torque parameter $\beta_w$ are dominated by spin-orbit +interaction in combination with scattering off the domain wall, and not +scattering off extrinsic impurities. Numerical calculations give $\alpha_w \sim +0.01$ and $\beta_w \sim 1$ in dirty (Ga,Mn)As. The extraordinary large +$\beta_w$ parameter allows experimental detection of current or voltage induced +by domain wall motion in (Ga,Mn)As.",0811.2235v2 +2008-11-21,Spin Transfer Torque as a Non-Conservative Pseudo-Field,"In this paper we show that the spin transfer torque can be described by a +pseudo magnetic field, proportional to the magnetic moment of the itinerant +electrons that enters the Landau-Lifshitz-Gilbert equation in the same way as +other external or internal magnetic fields. However, unlike an ordinary +magnetic field, which is always conservative in nature, the spin torque induced +pseudo field may have both conservative and non-conservative components. We +further show that the magnetic moment of itinerant electrons develops an +out-of-plane component only at non-equilibrium and this component is +responsible for the Slonczewski type switching that acts against the damping +and is always non-conservative. On the other hand, the in-plane components of +the pseudo field exist both at equilibrium and out-of-equilibrium, and are +responsible for the field like term. For tunnel based devices, this term +results in lower switching current for anti-parallel (AP) to parallel (P) +switching compared to P to AP, even when the torque magnitudes are completely +symmetric with voltage.",0811.3472v1 +2019-09-11,Chaos in nanomagnet via feedback current,"Nonlinear magnetization dynamics excited by spin-transfer effect with +feedback current is studied both numerically and analytically. The numerical +simulation of the Landau-Lifshitz-Gilbert equation indicates the positive +Lyapunov exponent for a certain range of the feedback rate, which identifies +the existence of chaos in a nanostructured ferromagnet. Transient behavior from +chaotic to steady oscillation is also observed in another range of the feedback +parameter. An analytical theory is also developed, which indicates the +appearance of multiple attractors in a phase space due to the feedback current. +An instantaneous imbalance between the spin-transfer torque and damping torque +causes a transition between the attractors, and results in the complex +dynamics.",1909.05315v2 +2020-03-24,Spin-transfer torque driven intrinsic localized spin excitations in the presence of field-like torque,"We study the existence of intrinsic localized one-spin excitation in the +Heisenberg one-dimensional ferromagnetic spin chain in the presence of +perpendicular and parallel external magnetic fields and current with +spin-transfer torque and field-like torque. The +Landau-Lifshitz-Gilbert-Slonczewski(LLGS) equation is exactly solved for the +one spin excitation in the absence of onsite anisotropy for the excitations of +spin with fields perpendicular and parallel to the chain. We show the removal +of damping in the spin excitations by appropriately introducing current and +also the enhancement of angular frequency of the oscillations due to field-like +torque in the case of both perpendicular and parallel field. The exactness of +the analytical results is verified by matching with numerical counterparts. +Further, we numerically confirm the existence of in-phase and anti-phase stable +synchronized oscillations for two spin-excitations in the presence of current +with perpendicular field and field-like torque.",2003.11023v2 +2020-04-02,Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque,"We consider the Landau-Lifshitz equation for the spin torque oscillator - a +uniaxial ferromagnet in an external magnetic field with polarised spin current +driven through it. In the absence of the Gilbert damping, the equation turns +out to be PT-symmetric. We interpret the PT-symmetry as a balance between gain +and loss - and identify the gaining and losing modes. In the vicinity of the +bifurcation point of a uniform static state of magnetisation, the PT-symmetric +Landau-Lifshitz equation with a small dissipative perturbation reduces to a +nonlinear Schr\""odinger equation with a quadratic nonlinearity. The analysis of +the Schr\""odinger dynamics demonstrates that the spin torque oscillator +supports stable magnetic solitons. The PT near-symmetry is crucial for the +soliton stability: the addition of a finite dissipative term to the +Landau-Lifshitz equation destabilises all solitons that we have found.",2004.01245v2 +2020-08-21,Integration and characterization of micron-sized YIG structures with very low Gilbert damping on arbitrary substrates,"We present a novel process that allows the transfer of monocrystalline +yttrium-iron-garnet microstructures onto virtually any kind of substrate. The +process is based on a recently developed method that allows the fabrication of +freestanding monocrystalline YIG bridges on gadolinium-gallium-garnet. Here the +bridges' spans are detached from the substrate by a dry etching process and +immersed in a watery solution. Using drop casting the immersed YIG platelets +can be transferred onto the substrate of choice, where the structures finally +can be reattached and thus be integrated into complex devices or experimental +geometries. Using time resolved scanning Kerr microscopy and inductively +measured ferromagnetic resonance we can demonstrate that the structures retain +their excellent magnetic quality. At room temperature we find a ferromagnetic +resonance linewidth of $\mu_0\Delta H_{HWHM}\approx 195\,\mu T$ and we were +even able to inductively measure magnon spectra on a single micron-sized +yttrium-iron-garnet platelet at a temperature of 5 K. The process is flexible +in terms of substrate material and shape of the structure. In the future this +approach will allow for new types of spin dynamics experiments up to now +unthinkable.",2008.09390v1 +2021-05-24,Spin pumping of two-dimensional electron gas with Rashba and Dresselhaus spin-orbit interactions,"We theoretically consider spin pumping in a junction between a ferromagnetic +insulator (FI) and a two-dimensional electron gas (2DEG) in which the Rashba +and Dresselhaus spin-orbit interactions coexist. Using second-order +perturbation theory, we derive an increase in linewidth in the case of an +interfacial exchange coupling in a ferromagnetic resonance (FMR) experiment. We +clarify how the enhancement of Gilbert damping depends on the resonant +frequency and spin orientation of the FI. We show that this setup of an FMR +experiment can provide information on the spin texture of 2DEG at the Fermi +surface.",2105.11193v3 +2015-02-19,Characterization of spin relaxation anisotropy in Co using spin pumping,"Ferromagnets are believed to exhibit strongly anisotropic spin relaxation, +with relaxation lengths for spin longitudinal to magnetization significantly +longer than those for spin transverse to magnetization. Here we characterize +the anisotropy of spin relaxation in Co using the spin pumping contribution to +Gilbert damping in noncollinearly magnetized Py$_{1-x}$Cu$_{x}$/Cu/Co trilayer +structures. The static magnetization angle between Py$_{1-x}$Cu$_{x}$ and Co, +adjusted under field bias perpendicular to film planes, controls the +projections of longitudinal and transverse spin current pumped from +Py$_{1-x}$Cu$_{x}$ into Co. We find nearly isotropic absorption of pure spin +current in Co using this technique; fits to a diffusive transport model yield +the longitudinal spin relaxation length $< 2$ nm in Co. The longitudinal spin +relaxation lengths found are an order of magnitude smaller than those +determined by current-perpendicular-to-planes giant magnetoresistance +measurements, but comparable with transverse spin relaxation lengths in Co +determined by spin pumping.",1502.05687v3 +2016-06-07,The temperature dependence of FeRh's transport properties,"The finite-temperature transport properties of FeRh compounds are +investigated by first-principles Density Functional Theory-based calculations. +The focus is on the behavior of the longitudinal resistivity with rising +temperature, which exhibits an abrupt decrease at the metamagnetic transition +point, $T = T_m$ between ferro- and antiferromagnetic phases. A detailed +electronic structure investigation for $T \geq 0$ K explains this feature and +demonstrates the important role of (i) the difference of the electronic +structure at the Fermi level between the two magnetically ordered states and +(ii) the different degree of thermally induced magnetic disorder in the +vicinity of $T_m$, giving different contributions to the resistivity. To +support these conclusions, we also describe the temperature dependence of the +spin-orbit induced anomalous Hall resistivity and Gilbert damping parameter. +For the various response quantities considered the impact of thermal lattice +vibrations and spin fluctuations on their temperature dependence is +investigated in detail. Comparison with corresponding experimental data finds +in general a very good agreement.",1606.02072v1 +2018-02-05,Cooper-Pair Spin Current in a Strontium Ruthenate Heterostructure,"It has been recognized that the condensation of spin-triplet Cooper pairs +requires not only the broken gauge symmetry but also the spin ordering as well. +One consequence of this is the possibility of the Cooper-pair spin current +analogous to the magnon spin current in magnetic insulators, the analogy also +extending to the existence of the Gilbert damping of the collective +spin-triplet dynamics. The recently fabricated heterostructure of the thin film +of the itinerant ferromagnet SrRuO3 on the bulk Sr2RuO4, the best-known +candidate material for the spin-triplet superconductor, offers a promising +platform for generating such spin current. We will show how such +heterostructure allows us to not only realize the long-range spin valve but +also electrically drive the collective spin mode of the spin-triplet order +parameter. Our proposal represents both a new realization of the spin +superfluidity and a transport signature of the spin-triplet superconductivity.",1802.01599v1 +2018-02-12,Spin-orbit torque and spin pumping in YIG/Pt with interfacial insertion layers,"We experimentally investigate spin-orbit torque and spin pumping in +Y$_3$Fe$_5$O$_{12}$(YIG)/Pt bilayers with ultrathin insertion layers at the +interface. An insertion layer of Cu suppresses both spin-orbit torque and spin +pumping, whereas an insertion layer of Ni$_{80}$Fe$_{20}$ (permalloy, Py) +enhances them, in a quantitatively consistent manner with the reciprocity of +the two spin transmission processes. However, we observe a large enhancement of +Gilbert damping with the insertion of Py that cannot be accounted for solely by +spin pumping, suggesting significant spin-memory loss due to the interfacial +magnetic layer. Our findings indicate that the magnetization at the YIG-metal +interface strongly influences the transmission and depolarization of pure spin +current.",1802.03865v3 +2018-11-09,Switching of biaxial synthetic antiferromagnets: a micromagentic study,"We simulate the switching behavior of nanoscale synthetic antiferromagnets +(SAFs), inspired by recent experimental progress in spin-orbit-torque switching +of crystal antiferromagnets. The SAF consists of two ferromagnetic thin films +with in-plane biaxial anisotropy and interlayer exchange coupling. Staggered +field-like Rashba spin-orbit torques from the opposite surfaces of the SAF +induce a canted net magnetization, which triggers an orthogonal torque that +drives 90$^\circ$ switching of the N\'eel vector. Such dynamics driven by the +field-like spin-orbit torque allows for faster switching with increased Gilbert +damping, without a significant detrimental increase of the threshold switching +current density. Our results point to the potential of SAFs as model systems, +based on simple ferromagnetic metals, to mimic antiferromagnetic device +physics.",1811.04094v2 +2019-02-12,Characterization of spin wave propagation in (111) YIG thin films with large anisotropy,"We report on long-range spin wave (SW) propagation in nanometer-thick yttrium +iron garnet (YIG) film with an ultralow Gilbert damping. The knowledge of a +wavenumber value $|\vec{k}|$ is essential for designing SW devices. Although +determining the wavenumber $|\vec{k}|$ in experiments like Brillouin light +scattering spectroscopy is straightforward, quantifying the wavenumber in +all-electrical experiments has not been widely commented upon so far. We +analyze magnetostatic spin wave (SW) propagation in YIG films in order to +determine the SW wavenumber $|\vec{k}|$ excited by the coplanar waveguide. We +show that it is crucial to consider the influence of magnetic anisotropy fields +present in YIG thin films for precise determination of SW wavenumber. With the +proposed methods we find that experimentally derived values of $|\vec{k}|$ are +in perfect agreement with that obtained from electromagnetic simulation only if +anisotropy fields are included.",1902.04608v1 +2019-03-20,Nonlinear magnetization dynamics driven by strong terahertz fields,"We present a comprehensive experimental and numerical study of magnetization +dynamics triggered in a thin metallic film by single-cycle terahertz pulses of +$\sim20$ MV/m electric field amplitude and $\sim1$ ps duration. The +experimental dynamics is probed using the femtosecond magneto-optical Kerr +effect (MOKE), and it is reproduced numerically using macrospin simulations. +The magnetization dynamics can be decomposed in three distinct processes: a +coherent precession of the magnetization around the terahertz magnetic field, +an ultrafast demagnetization that suddenly changes the anisotropy of the film, +and a uniform precession around the equilibrium effective field that is relaxed +on the nanosecond time scale, consistent with a Gilbert damping process. +Macrospin simulations quantitatively reproduce the observed dynamics, and allow +us to predict that novel nonlinear magnetization dynamics regimes can be +attained with existing table-top terahertz sources.",1903.08395v2 +2019-04-11,Measurement of spin mixing conductance in Ni$_{81}$Fe$_{19}$/$α$-W and Ni$_{81}$Fe$_{19}$/$β$-W heterostrucutures via ferromagnetic resonance,"We present measurements of interfacial Gilbert damping due to the spin +pumping effect in Ni$_{81}$Fe$_{19}$/W heterostructures. Measurements were +compared for heterostructures in which the crystallographic phase of W, either +$\alpha$(bcc)-W or $\beta$(A15)-W, was enriched through deposition conditions +and characterized using X-ray diffraction (XRD) and high-resolution +cross-sectional transmission electron microscopy (HR-XTEM). Single phase +Ni$_{81}$Fe$_{19}$/$\alpha$-W heterostructures could be realized, but +heterostructures with $\beta$-W were realized as mixed $\alpha$-$\beta$ phase. +The spin mixing conductances (SMC) for W at interfaces with Ni$_{81}$Fe$_{19}$ +were found to be significantly lower than those for similarly heavy metals such +as Pd and Pt, but comparable to those for Ta, and independent of enrichment in +the $\beta$ phase.",1904.05950v2 +2019-05-26,Influence of field-like torque in synchronization of spin torque oscillators,"The magnetization dynamics of two parallelly coupled spin torque oscillators, +destabilization of steady states and removal of multistability, are +investigated by taking into account the influence of field-like torque. It is +shown that the existence of such torque can cancel the effect of damping and +can, therefore, cause the oscillators to exhibit synchronized oscillations in +response to direct current. Further, our results show that the presence of +field-like torque enhances the power and Q-factor of the synchronized +oscillations. The validity of the above results is confirmed by numerical and +analytical studies based on the stochastic Landau-Lifshitz-Gilbert-Slonczewski +equation.",1905.10804v2 +2019-05-30,Sub-nanosecond switching in a cryogenic spin-torque spin-valve memory element with a dilute permalloy free layer,"We present a study of the pulsed current switching characteristics of +spin-valve nanopillars with in-plane magnetized dilute permalloy and undiluted +permalloy free layers in the ballistic regime at low temperature. The dilute +permalloy free layer device switches much faster: the characteristic switching +time for a permalloy free (Ni0.83Fe0.17) layer device is 1.18 ns, while that +for a dilute permalloy ([Ni0.83Fe0.17]0.6Cu0.4) free layer device is 0.475 ns. +A ballistic macrospin model can capture the data trends with a reduced spin +torque asymmetry parameter, reduced spin polarization and increased Gilbert +damping for the dilute permalloy free layer relative to the permalloy devices. +Our study demonstrates that reducing the magnetization of the free layer +increases the switching speed while greatly reducing the switching energy and +shows a promising route toward even lower power magnetic memory devices +compatible with superconducting electronics.",1905.13262v1 +2019-07-05,Theory for shift current of bosons: Photogalvanic spin current in ferrimagnetic and antiferromagnetic insulators,"We theoretically study the optical generation of dc spin current (i.e., a +spin-current solar cell) in ordered antiferromagnetic and ferrimagnetic +insulators, motivated by a recent study on the laser-driven spinon spin current +in noncentrosymmetric quantum spin chains [H. Ishizuka and M. Sato, Phys. Rev. +Lett. 122, 197702 (2019)]. Using a non-linear response theory for magnons, we +analyze the dc spin current generated by a linearly-polarized electromagnetic +wave (typically, terahertz or gigahertz waves). Considering noncentrosymmetric +two-sublattice magnets as an example, we find a finite dc spin current +conductivity at $T=0$, where no thermally-excited magnons exist; this is in +contrast to the case of the spinon spin current, in which the optical +transition of the Fermi degenerate spinons plays an essential role. We find +that the dc spin-current conductivity is insensitive to the Gilbert damping, +i.e., it may be viewed as a shift current carried by bosonic particles +(magnons). Our estimate shows that an electric-field intensity of +$E\sim10^4-10^6$ V/cm is sufficient for an observable spin current. Our theory +indicates that the linearly-polarized electromagnetic wave generally produces a +dc spin current in noncentrosymmetric magnetic insulators.",1907.02734v1 +2019-07-10,Temperature dependence of magnetic resonance in ferrimagnetic GdFeCo alloys,"We provide a macroscopic theory and experimental results for magnetic +resonances of antiferromagnetically-coupled ferrimagnets. Our theory, which +interpolates the dynamics of antiferromagnets and ferromagnets smoothly, can +describe ferrimagnetic resonances across the angular momentum compensation +point. We also present experimental results for spin-torque induced +ferrimagnetic resonance at several temperatures. The spectral analysis based on +our theory reveals that the Gilbert damping parameter, which has been +considered to be strongly temperature dependent, is insensitive to temperature. +We envision that our work will facilitate further investigation of +ferrimagnetic dynamics by providing a theoretical framework suitable for a +broad range of temperatures.",1907.04540v1 +2019-07-11,Improving the Signal-to-noise Ratio for Heat-Assisted Magnetic Recording by Optimizing a High/Low Tc bilayer structure,"We optimize the recording medium for heat-assisted magnetic recording by +using a high/low $T_{\mathrm{c}}$ bilayer structure to reduce AC and DC noise. +Compared to a former work, small Gilbert damping $\alpha=0.02$ is considered +for the FePt like hard magnetic material. Atomistic simulations are performed +for a cylindrical recording grain with diameter $d=5\,$nm and height $h=8\,$nm. +Different soft magnetic material compositions are tested and the amount of hard +and soft magnetic material is optimized. The results show that for a soft +magnetic material with $\alpha_{\mathrm{SM}}=0.1$ and +$J_{ij,\mathrm{SM}}=7.72\times 10^{-21}\,$J/link a composition with $50\%$ hard +and $50\%$ soft magnetic material leads to the best results. Additionally, we +analyse how much the areal density can be improved by using the optimized +bilayer structure compared to the pure hard magnetic recording material. It +turns out that the optimized bilayer design allows an areal density that is +$1\,$Tb/in$^2$ higher than that of the pure hard magnetic material while +obtaining the same SNR.",1907.05027v1 +2019-07-19,A cryogenic memory element based on an anomalous Josephson junction,"We propose a non-volatile memory element based on a lateral ferromagnetic +Josephson junction with spin-orbit coupling and out-of-plane magnetization. The +interplay between the latter and the intrinsic exchange field of the +ferromagnet leads to a magnetoelectric effect that couples the charge current +through the junction and its magnetization, such that by applying a current +pulse the direction of the magnetic moment in F can be switched. The two memory +states are encoded in the direction of the out-of-plane magnetization. With the +aim to determine the optimal working temperature for the memory element, we +explore the noise-induced effects on the averaged stationary magnetization by +taking into account thermal fluctuations affecting both the Josephson phase and +the magnetic moment dynamics. We investigate the switching process as a +function of intrinsic parameters of the ferromagnet, such as the Gilbert +damping and strength of the spin-orbit coupling, and proposed a non-destructive +readout scheme based on a dc-SQUID. Additionally, we analyze a way to protect +the memory state from external perturbations by voltage gating in systems with +a both linear-in-momentum Rashba and Dresselhaus spin-orbit coupling.",1907.08454v2 +2019-07-23,Electron transport in high-entropy alloys: Al$_{x}$CrFeCoNi as a case study,"The high-entropy alloys Al$_{x}$CrFeCoNi exist over a broad range of Al +concentrations ($0 < x < 2$). With increasing Al content their structure is +changed from the fcc to bcc phase. We investigate the effect of such structural +changes on transport properties including the residual resistivity and the +anomalous Hall resistivity. We have performed a detailed comparison of the +first-principles simulations with available experimental data. We show that the +calculated residual resistivities for all studied alloy compositions are in a +fair agreement with available experimental data as concerns both the +resistivity values and concentration trends. We emphasize that a good agreement +with experiment was obtained also for the anomalous Hall resistivity. We have +completed study by estimation of the anisotropic magnetoresistance, +spin-disorder resistivity, and Gilbert damping. The obtained results prove that +the main scattering mechanism is due to the intrinsic chemical disorder whereas +the effect of spin polarization on the residual resistivity is appreciably +weaker.",1907.09731v1 +2019-11-27,Ellipticity and Dissipation Effects in Magnon Spin Valves,"We consider alignment-dependent spin and heat transport across a magnon spin +valve in the tunneling regime, i.e., a junction consisting of two weakly +coupled ferromagnetic insulators. We determine the difference in spin and heat +conductance between the parallel and antiparallel configuration of the +magnetization direction. The dependence of these conductances on both the +Gilbert damping and ellipticity is studied. We find that both magnon +ellipticity and dissipation open channels for magnons to tunnel through in the +antiparallel configuration. Our results highlight an important difference +between electronic and magnon spin transport in spin-valve structures and may +be important for the development of devices based on magnetic insulators.",1911.12017v2 +2020-07-08,Finite-frequency spin susceptibility and spin pumping in superconductors with spin-orbit relaxation,"Static spin susceptibility of superconductors with spin-orbit relaxation has +been calculated in the seminal work of A.A. Abrikosov and L.P. Gor'kov [Sov. +Phys. JETP, {\bf 15}, 752 (1962)]. Surprisingly the generalization of this +result to finite frequencies has not been done despite being quite important +for the modern topic of superconducting spintronics. The present paper fills +this gap by deriving the analytical expression for spin susceptibility. The +time-dependent spin response is shown to be captured by the quasiclassical +Eilenberger equation with collision integrals corresponding to the ordinary and +spin-orbit scattering. Using the developed formalism we study the linear spin +pumping effect between the ferromagnet and the adjacent superconducting film. +The consequences for understanding recent experiments demonstrating the +modification of Gilbert damping by the superconducting correlations are +discussed.",2007.04372v2 +2020-07-16,Thermal noise effects on the magnetization switching of a ferromagnetic anomalous Josephson junction,"We discuss the effects of thermal noise on the magnetic response of a lateral +ferromagnetic Josephson junction with spin-orbit coupling and out-of-plane +magnetization. The direction of the magnetic moment in the ferromagnetic layer +can be inverted by using controlled current pulses. This phenomenon is due to +the magnetoelectric effect that couples the flowing charge current and the +magnetization of the ferromagnet. We investigate the magnetization reversal +effect versus intrinsic parameters of the ferromagnet, such as the Gilbert +damping and strength of the spin-orbit coupling. We estimate the magnetization +reversing time and find the optimal values of the parameters for fast +switching. With the aim of increasing the operation temperature we study the +effects induced by thermal fluctuations on the averaged stationary +magnetization, and find the conditions that make the system more robust against +noise.",2007.08414v3 +2020-09-01,Quantum Brownian Motion for Magnets,"Spin precession in magnetic materials is commonly modelled with the classical +phenomenological Landau-Lifshitz-Gilbert (LLG) equation. Based on a quantized +spin+environment Hamiltonian, we here derive a general spin operator equation +of motion that describes three-dimensional precession and damping and +consistently accounts for effects arising from memory, coloured noise and +quantum statistics. The LLG equation is recovered as its classical, Ohmic +approximation. We further introduce resonant Lorentzian system--reservoir +couplings that allow a systematic comparison of dynamics between Ohmic and +non--Ohmic regimes. Finally, we simulate the full non-Markovian dynamics of a +spin in the semi--classical limit. At low temperatures, our numerical results +demonstrate a characteristic reduction and flattening of the steady state spin +alignment with an external field, caused by the quantum statistics of the +environment. The results provide a powerful framework to explore general +three-dimensional dissipation in quantum thermodynamics.",2009.00600v2 +2020-09-30,Quantum hydrodynamics of spin winding,"An easy-plane spin winding in a quantum spin chain can be treated as a +transport quantity, which propagates along the chain but has a finite lifetime +due to phase slips. In a hydrodynamic formulation for the winding dynamics, the +quantum continuity equation acquires a source term due to the transverse +vorticity flow. The latter reflects the phase slips and generally compromises +the global conservation law. A linear-response formalism for the nonlocal +winding transport then reduces to a Kubo response for the winding flow along +the spin chain, in conjunction with the parasitic vorticity flow transverse to +it. One-dimensional topological hydrodynamics can be recovered when the +vorticity flow is asymptotically small. Starting with a microscopic spin-chain +formulation, we focus on the asymptotic behavior of the winding transport based +on the renormalized sine-Gordon equation, incorporating phase slips as well as +Gilbert damping. A generic electrical device is proposed to manifest this +physics. We thus suggest winding conductivity as a tangible concept that can +characterize low-energy dynamics in a broad class of quantum magnets.",2010.00144v1 +2020-11-29,Cross-sublattice Spin Pumping and Magnon Level Attraction in van der Waals Antiferromagnets,"We theoretically study spin pumping from a layered van der Waals +antiferromagnet in its canted ground state into an adjacent normal metal. We +find that the resulting dc spin pumping current bears contributions along all +spin directions. Our analysis allows for detecting intra- and cross-sublattice +spin-mixing conductances via measuring the two in-plane spin current +components. We further show that sublattice symmetry-breaking Gilbert damping +can be realized via interface engineering and induces a dissipative coupling +between the optical and acoustic magnon modes. This realizes magnon level +attraction and exceptional points in the system. Furthermore, the dissipative +coupling and cross-sublattice spin pumping contrive to produce an +unconventional spin current in the out-of-plane direction. Our findings provide +a route to extract the spin mixing conductance matrix and uncovers the unique +opportunities, such as level attraction, offered by van der Waals +antiferromagnet-normal metal hybrids.",2011.14314v1 +2021-01-18,Topological electric driving of magnetization dynamics in insulators,"Established forms of electromagnetic coupling are usually conservative (in +insulators) or dissipative (in metals and semiconductors). Here we point out +the possibility of nondissipative electric driving of magnetization dynamics, +if the valence electronic states have nontrivial topology in the combined space +of crystal momentum and magnetization configuration. We provide a hybrid +insulator system to demonstrate that the topology-based nonconservative +electrical generalized force is capable of supporting sustained magnetization +motion in the presence of Gilbert damping, with quantized and steady energy +pumping into magnetization motion from the electric field. We also generalize +our results to magnetic textures, and discuss electric field induced +Dzyaloshinskii-Moriya interaction which can be nonconservative.",2101.07164v3 +2021-02-07,Spinterface Induced Modification in Magnetic Properties in Co40Fe40B20/Fullerene Bilayers,"Organic semiconductor/ferromagnetic bilayer thin films can exhibit novel +properties due to the formation of the spinterface at the interface. +Buckminsterfullerene (C60) has been shown to exhibit ferromagnetism at the +interface when it is placed next to a ferromagnet (FM) such as Fe or Co. +Formation of spinterface occurs due to the orbital hybridization and spin +polarized charge transfer at the interface. In this work, we have demonstrated +that one can enhance the magnetic anisotropy of the low Gilbert damping alloy +CoFeB by introducing a C60 layer. We have shown that anisotropy increases by +increasing the thickness of C60 which might be a result of the formation of +spinterface. However, the magnetic domain structure remains same in the bilayer +samples as compared to the reference CoFeB film.",2102.03914v4 +2021-08-05,Spin-transfer torque driven localized spin excitations in the presence of field-like torque,"We study the existence of localized one-spin excitation in the Heisenberg +one-dimensional ferromagnetic spin chain in the presence of perpendicular and +parallel external magnetic fields and current with spin-transfer torque and +field-like torque. The Landau-Lifshitz-Gilbert-Slonczewski (LLGS) equation is +exactly solved for the one spin excitation in the absence of onsite anisotropy +for the excitations of spin with fields perpendicular and parallel to the +chain. We show the removal of damping in the spin excitations by appropriately +introducing current and also the enhancement of angular frequency of the +oscillations due to field-like torque in the case of both perpendicular and +parallel field. The exactness of the analytical results is verified by matching +with numerical counterparts. Further, we numerically confirm the existence of +in-phase and anti-phase stable synchronized oscillations for two +spin-excitations in the presence of current with perpendicular field and +field-like torque. We also show that the one-spin excitation is stable against +thermal noise and gets only slightly modified against thermal fluctuations.",2108.02380v1 +2021-09-07,Inertial spin dynamics in epitaxial cobalt films,"We investigate the spin dynamics driven by terahertz magnetic fields in +epitaxial thin films of cobalt in its three crystalline phases. The terahertz +magnetic field generates a torque on the magnetization which causes it to +precess for about 1 ps, with a sub-picosecond temporal lag from the driving +force. Then, the magnetization undergoes natural damped THz oscillations at a +frequency characteristic of the crystalline phase. We describe the experimental +observations solving the inertial Landau-Lifshitz-Gilbert equation. Using the +results from the relativistic theory of magnetic inertia, we find that the +angular momentum relaxation time $\eta$ is the only material parameter needed +to describe all the experimental evidence. Our experiments suggest a +proportionality between $\eta$ and the strength of the magneto-crystalline +anisotropy.",2109.03076v2 +2021-09-26,Transition state dynamics of a driven magnetic free layer,"Magnetization switching in ferromagnetic structures is an important process +for technical applications such as data storage in spintronics, and therefore +the determination of the corresponding switching rates becomes essential. We +investigate a free-layer system in an oscillating external magnetic field +resulting in an additional torque on the spin. The magnetization dynamics +including inertial damping can be described by the phenomenological Gilbert +equation. The magnetization switching between the two stable orientations on +the sphere then requires the crossing of a potential region characterized by a +moving rank-1 saddle. We adopt and apply recent extensions of transition state +theory for driven systems to compute both the time-dependent and average +switching rates of the activated spin system in the saddle region.",2109.12605v1 +2021-12-24,Skyrmion nucleation on the surface of a topological insulator,"Skyrmion nucleation induced by spin-transfer torques at an interface of a +topological insulator and a ferromagnetic insulator is investigated. Due to +strong spin-orbit coupling on a surface of topological insulators, which +enhances the effect of spin torques, efficient manipulation of skyrmions is +expected, and therefore, topological insulators could provide the ideal +platform to achieve high-performance skyrmionic devices. Using micromagnetic +simulations and energetics, we evaluate properties of the skyrmion nucleation +on a surface of topological insulators, such as nucleation time, critical +electric field, and skyrmion numbers. We show that the nucleation time is +inversely proportional to the applied electric field. We also identify the +Gilbert damping and temperature dependencies of the critical field. +Furthermore, we analytically evaluate the effect of the Dzyaloshinskii-Moriya +interaction and demonstrate that the temperature dependence can be explained by +the reduction of a magnon excitation gap due to the self-energy corrections.",2112.12967v2 +2021-12-10,Enhanced Planar Antenna Efficiency Through Magnetic Thin-Films,"This work proposes to use magnetic material as the substrate of planar +antennas to overcome the platform effect caused by the conducting ground plane. +The upper bound of the radiation efficiency of an electric-current-driven +low-profile antenna is theoretically derived, which is inversely proportional +to the Gilbert damping factor of the magnetic material. Meanwhile, the +improvement of radiation due to the use of magnetic material is demonstrated by +a three-dimensional (3D) multiphysics and multiscale time-domain model. The +simulation results match the theoretical derivation, showing 25% radiation +efficiency from a planar antenna backed by a FeGaB thin film with 2.56 um +thickness. Furthermore, for conductive ferromagnetic materials, it is shown +that the eddy current loss can be well suppressed by laminating the thin film +into multiple layers. The radiation efficiency of the modeled antenna with a +conductive ferromagnetic substrate is improved from 2.2% to 11.8% by dividing +the substrate into 10 layers, with a ferromagnetic material fill factor of 93%.",2201.04932v1 +2022-03-07,Ultrafast optical observation of spin-pumping induced dynamic exchange coupling in ferromagnetic semiconductor/metal bilayer,"Spin angular momentum transfer in magnetic bilayers offers the possibility of +ultrafast and low-loss operation for next-generation spintronic devices. We +report the field- and temperature- dependent measurements on the magnetization +precessions in Co$_2$FeAl/(Ga,Mn)As by time-resolved magneto-optical Kerr +effect (TRMOKE). Analysis of the effective Gilbert damping and phase shift +indicates a clear signature of an enhanced dynamic exchange coupling between +the two ferromagnetic (FM) layers due to the reinforced spin pumping at +resonance. The temperature dependence of the dynamic exchange-coupling reveals +a primary contribution from the ferromagnetism in (Ga,Mn)As.",2203.03225v2 +2022-04-21,Transport theory for topological Josephson junctions with a Majorana qubit,"We construct a semiclassical theory for the transport of topological +junctions starting from a microscopic Hamiltonian that comprehensively includes +the interplay among the Majorana qubit, the Josephson phase, and the +dissipation process. With the path integral approach, we derive a set of +semiclassical equations of motion that can be used to calculate the time +evolution of the Josephson phase and the Majorana qubit. In the equations we +reveal rich dynamical phenomena such as the qubit induced charge pumping, the +effective spin-orbit torque, and the Gilbert damping. We demonstrate the +influence of these dynamical phenomena on the transport signatures of the +junction. We apply the theory to study the Shapiro steps of the junction, and +find the suppression of the first Shapiro step due to the dynamical feedback of +the Majorana qubit.",2204.09923v1 +2022-04-22,A short-circuited coplanar waveguide for low-temperature single-port ferromagnetic resonance spectroscopy set-up to probe the magnetic properties of ferromagnetic thin films,"A coplanar waveguide shorted in one end is proposed, designed, and +implemented successfully to measure the properties of magnetic thin films as a +part of the vector network analyzer ferromagnetic resonance (VNA-FMR) +spectroscopy set-up. Its simple structure, potential applications and easy +installation inside the cryostat chamber made it advantageous especially for +low-temperature measurements. It provides a wide band of frequencies in the +gigahertz range essential for FMR measurements. Our spectroscopy set-up with +short-circuited coplanar waveguide has been used to extract Gilbert damping +coefficient and effective magnetization values for standard ferromagnetic thin +films like Py and Co. The thickness and temperature dependent studies of those +magnetic parameters have also been done here for the afore mentioned magnetic +samples.",2204.10596v2 +2022-11-04,Derivation of Interacting Two-Qubit Dynamics from Spin-Boson Model,"We derive damping equations of motion for interacting two-spin states from a +spin-boson model in order to examine qubit dynamics in quantum computers. On +the basis of the composite operator method, we develop the Caldeira-Leggett +approach for open quantum systems so that the entanglement dynamics originated +from the two-spin correlation can be taken. We demonstrate numerical results +for time dependence on the two-spin dynamics. We find that the relaxation of +the total spin is described by a quantum version of the Landau-Lifshitz-Gilbert +equation for magnetic materials. We also find that a two-spin composite mode +keeps oscillation even after the total spin has been fully relaxed. We thus +conclude that the two-spin correlation due to the presence of the composite +mode is stable against dissipation. We consider the mechanism of why the +correlation is maintained.",2211.02490v1 +2023-02-06,Global solutions of the Landau--Lifshitz--Baryakhtar equation,"The Landau--Lifshitz--Baryakhtar (LLBar) equation is a generalisation of the +Landau--Lifshitz--Gilbert and the Landau--Lifshitz--Bloch equations which takes +into account contributions from nonlocal damping and is valid at moderate +temperature below the Curie temperature. Therefore, it is used to explain some +discrepancies between the experimental observations and the known theories in +various problems on magnonics and magnetic domain-wall dynamics. In this paper, +the existence and uniqueness of global weak, strong, and regular solutions to +LLBar equation are proven. H\""older continuity of the solution is also +discussed.",2302.02556v3 +2023-03-22,Twisted bilayer graphene reveals its flat bands under spin pumping,"The salient property of the electronic band structure of twisted bilayer +graphene (TBG), at the so-called magic angle (MA), is the emergence of flat +bands around the charge neutrality point. These bands are associated with the +observed superconducting phases and the correlated insulating states. Scanning +tunneling microscopy combined with angle resolved photoemission spectroscopy +are usually used to visualize the flatness of the band structure of TBG at the +MA. Here, we theoretically argue that spin pumping (SP) provides a direct probe +of the flat bands of TBG and an accurate determination of the MA. We consider a +junction separating a ferromagnetic insulator and a heterostructure of TBG +adjacent to a monolayer of a transition metal dichalcogenide. We show that the +Gilbert damping of the ferromagnetic resonance experiment, through this +junction, depends on the twist angle of TBG, and exhibits a sharp drop at the +MA. We discuss the experimental realization of our results which open the way +to a twist switchable spintronics in twisted van der Waals heterostructures.",2303.12380v2 +2023-05-01,Coherent and incoherent magnons induced by strong ultrafast demagnetization in thin permalloy films,"Understanding spin dynamics on femto- and picosecond timescales offers new +opportunities for faster and more efficient spintronic devices. Here, we +experimentally investigate the coherent spin dynamics after ultrashort laser +excitation by time-resolved magneto optical Kerr effect (TR-MOKE) in thin +Ni80Fe20 films. We provide a detailed study of the magnetic field and pump +fluence dependence of the coherent precessional dynamics. We show that the +coherent precession lifetime increases with the applied external magnetic field +which cannot be understood by viscous Gilbert damping of the coherent magnons. +Instead, it can be explained by nonlinear magnon interactions and by the change +in the fraction of incoherent magnons. This interpretation is in agreement with +the observed trends of the coherent magnon amplitude and lifetime as a function +of the exciting laser fluence. Our results provide a new insight into the +magnetization relaxation processes in ferromagnetic thin films, which is of +great importance for further spintronic applications.",2305.00814v2 +2023-07-15,Switching current distributions in ferromagnetic anomalous Josephson junctions,"We investigate the switching current distributions of ferromagnetic anomalous +Josephson junctions subjected to a linearly increasing bias current. Our study +uncovers a significant correlation between the position of the switching +current distributions and crucial system parameters, such as the strength of +the spin-orbit coupling and the Gilbert damping parameter. This indicates that +these parameters can be directly determined through experimental measurements. +By conducting a comprehensive analysis of the interplay among noise, +magnetization, phase dynamics, and the statistical properties of the switching +current distribution, we deepen our understanding of these intriguing cryogenic +spintronics devices. These findings hold potential for applications in the +field of quantum computing architectures and information processing +technologies.",2307.07751v2 +2023-07-26,Oscillatory Edge Modes in Two Dimensional Spin-Torque Oscillator Arrays,"Spin torque oscillators (STOs) are dissipative magnetic systems that provide +a natural platform for exploring non-Hermitian phenomena. We theoretically +study a two-dimensional (2d) array of STOs and show that its dynamics can be +mapped to a 2d, non-Hermitian Su-Schrieffer-Heeger (SSH) model. We calculate +the energy spectrum and identify the one-dimensional (1d) edge states of our +model, corresponding to auto-oscillation of STOs on the boundary of the system +while the bulk oscillators do not activate. We show that tuning the Gilbert +damping, injected spin current, and coupling between STOs allows for exploring +the edge state properties under different parameter regimes. Furthermore, this +system admits 1d edge states with non-uniform probability density, and we +explore their properties in systems of different sizes. Additional symmetry +analysis indicates that these states are not topologically protected but are +nevertheless confined to the edge of the system, as the bulk is protected by +PT-symmetry. These results indicate that 2d arrays of STOs may be useful to +explore novel edge state behavior in dissipative systems.",2307.13876v1 +2024-04-01,"Harnessing Interlayer Magnetic Coupling for Efficient, Field-Free Current-Induced Magnetization Switching in a Magnetic Insulator","Owing to the unique features of low Gilbert damping, long spin-diffusion +lengths and zero Ohmic losses, magnetic insulators are promising candidate +materials for next-generation spintronic applications. However, due to the +localized magnetic moments and the complex metal-oxide interface between +magnetic insulators and heavy metals, spin-functional Dzyaloshinskii-Moriya +interactions or spin Hall and Edelstein effects are weak, which diminishes the +performance of these typical building blocks for spintronic devices. Here, we +exploit the exchange coupling between metallic and insulating magnets for +efficient electrical manipulation of heavy metal/magnetic insulator +heterostructures. By inserting a thin Co layer, we enhance the spin-orbit +torque efficiency by more than 20 times, which significantly reduces the +switching current density. Moreover, we demonstrate field-free current-induced +magnetization switching caused by a symmetry-breaking non-collinear magnetic +texture. Our work launches magnetic insulators as an alternative platform for +low-power spintronic devices.",2404.00845v1 +2003-10-18,Experiment and Dynamic Simulations of Radiation Damping of Laser-polarized liquid 129Xe at low magnetic field in a flow system,"Radiation damping is generally observed when the sample with high spin +concentration and high gyro-magnetic ratio is placed in a high magnetic field. +However, we firstly observed liquid state 129Xe radiation damping using +laser-enhanced nuclear polarization at low magnetic field in a flow system in +which the polarization enhancement factor for the liquid state 129Xe was +estimated to be 5000, and furthermore theoretically simulated the envelopes of +the 129Xe FID and spectral lineshape in the presence of both relaxation and +radiation damping with different pulse flip angles and ratios of T2*/Trd. The +radiation damping time constant Trd of 5 ms was derived based on the +simulations. The reasons of depolarization and the further possible +improvements were also discussed.",0310435v1 +2009-08-04,Time domain detection of pulsed spin torque damping reduction,"Combining multiple ultrafast spin torque impulses with a 5 nanosecond +duration pulse for damping reduction, we observe time-domain precession which +evolves from an initial 1 ns duration transient with changing precessional +amplitude to constant amplitude oscillations persisting for over 2 ns. These +results are consistent with relaxation of the transient trajectories to a +stable orbit with nearly zero damping. We find that in order to observe +complete damping cancellation and the transient behavior in a time domain +sampling measurement, a short duration, fast rise-time pulse is required to +cancel damping without significant trajectory dephasing.",0908.0481v1 +2014-08-15,Linear hyperbolic equations with time-dependent propagation speed and strong damping,"We consider a second order linear equation with a time-dependent coefficient +c(t) in front of the ""elastic"" operator. For these equations it is well-known +that a higher space-regularity of initial data compensates a lower +time-regularity of c(t). + In this paper we investigate the influence of a strong dissipation, namely a +friction term which depends on a power of the elastic operator. + What we discover is a threshold effect. When the exponent of the elastic +operator in the friction term is greater than 1/2, the damping prevails and the +equation behaves as if the coefficient c(t) were constant. When the exponent is +less than 1/2, the time-regularity of c(t) comes into play. If c(t) is regular +enough, once again the damping prevails. On the contrary, when c(t) is not +regular enough the damping might be ineffective, and there are examples in +which the dissipative equation behaves as the non-dissipative one. As expected, +the stronger is the damping, the lower is the time-regularity threshold. + We also provide counterexamples showing the optimality of our results.",1408.3499v1 +2017-01-12,Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent,"The blow-up for semilinear wave equations with the scale invariant damping +has been well-studied for sub-Fujita exponent. However, for super-Fujita +exponent, there is only one blow-up result which is obtained in 2014 by +Wakasugi in the case of non-effective damping. In this paper we extend his +result in two aspects by showing that: (I) the blow-up will happen for bigger +exponent, which is closely related to the Strauss exponent, the critical number +for non-damped semilinear wave equations; (II) such a blow-up result is +established for a wider range of the constant than the known non-effective one +in the damping term.",1701.03232v3 +2018-11-29,The Lugiato-Lefever equation with nonlinear damping caused by two photon absorption,"In this paper we investigate the effect of nonlinear damping on the +Lugiato-Lefever equation $$ \i \partial_t a = -(\i-\zeta) a - da_{xx} +-(1+\i\kappa)|a|^2a +\i f $$ on the torus or the real line. For the case of the +torus it is shown that for small nonlinear damping $\kappa>0$ stationary +spatially periodic solutions exist on branches that bifurcate from constant +solutions whereas all nonconstant solutions disappear when the damping +parameter $\kappa$ exceeds a critical value. These results apply both for +normal ($d<0$) and anomalous ($d>0$) dispersion. For the case of the real line +we show by the Implicit Function Theorem that for small nonlinear damping +$\kappa>0$ and large detuning $\zeta\gg 1$ and large forcing $f\gg 1$ strongly +localized, bright solitary stationary solutions exists in the case of anomalous +dispersion $d>0$. These results are achieved by using techniques from +bifurcation and continuation theory and by proving a convergence result for +solutions of the time-dependent Lugiato-Lefever equation.",1811.12200v3 +2020-07-16,Linearized wave-damping structure of Vlasov-Poisson in $\mathbb R^3$,"In this paper we study the linearized Vlasov-Poisson equation for localized +disturbances of an infinite, homogeneous Maxwellian background distribution in +$\mathbb R^3_x \times \mathbb R^3_v$. In contrast with the confined case +$\mathbb T^d _x \times \mathbb R_v ^d$, or the unconfined case $\mathbb R^d_x +\times \mathbb R^d_v$ with screening, the dynamics of the disturbance are not +scattering towards free transport as $t \to \pm \infty$: we show that the +electric field decomposes into a very weakly-damped Klein-Gordon-type evolution +for long waves and a Landau-damped evolution. The Klein-Gordon-type waves +solve, to leading order, the compressible Euler-Poisson equations linearized +about a constant density state, despite the fact that our model is +collisionless, i.e. there is no trend to local or global thermalization of the +distribution function in strong topologies. We prove dispersive estimates on +the Klein-Gordon part of the dynamics. The Landau damping part of the electric +field decays faster than free transport at low frequencies and damps as in the +confined case at high frequencies; in fact, it decays at the same rate as in +the screened case. As such, neither contribution to the electric field behaves +as in the vacuum case.",2007.08580v1 +2020-11-16,Technology to Counter Online Flaming Based on the Frequency-Dependent Damping Coefficient in the Oscillation Model,"Online social networks, which are remarkably active, often experience +explosive user dynamics such as online flaming, which can significantly impact +the real world. However, countermeasures based on social analyses of the +individuals causing flaming are too slow to be effective because of the +rapidity with which the influence of online user dynamics propagates. A +countermeasure technology for the flaming phenomena based on the oscillation +model, which describes online user dynamics, has been proposed; it is an +immediate solution as it does not depend on social analyses of individuals. +Conventional countermeasures based on the oscillation model assume that the +damping coefficient is a constant regardless of the eigenfrequency. This +assumption is, however, problematic as the damping coefficients are, in +general, inherently frequency-dependent; the theory underlying the dependence +is being elucidated. This paper discusses a design method that uses the damping +coefficient to prevent flaming under general conditions considering the +frequency-dependence of the damping coefficient and proposes a countermeasure +technology for the flaming phenomena.",2011.08117v1 +2024-02-09,Damping of density oscillations from bulk viscosity in quark matter,"We study the damping of density oscillations in the quark matter phase that +might occur in compact stars. To this end we compute the bulk viscosity and the +associated damping time in three-flavor quark matter, considering both +nonleptonic and semileptonic electroweak processes. We use two different +equations of state of quark matter, more precisely, the MIT bag model and +perturbative QCD, including the leading order corrections in the strong +coupling constant. We analyze the dependence of our results on the density, +temperature and value of strange quark mass in each case. We then find that the +maximum of the bulk viscosity is in the range of temperature from 0.01 to 0.1 +MeV for frequencies around 1 kHz, while the associated minimal damping times of +the density oscillations at those temperatures might be in the range of few to +hundreds milliseconds. Our results suggest that bulk viscous damping might be +relevant in the post-merger phase after the collision of two neutron stars if +deconfined matter is achieved in the process.",2402.06595v1 +2007-01-12,Non-equilibrium Lorentz gas on a curved space,"The periodic Lorentz gas with external field and iso-kinetic thermostat is +equivalent, by conformal transformation, to a billiard with expanding +phase-space and slightly distorted scatterers, for which the trajectories are +straight lines. A further time rescaling allows to keep the speed constant in +that new geometry. In the hyperbolic regime, the stationary state of this +billiard is characterized by a phase-space contraction rate, equal to that of +the iso-kinetic Lorentz gas. In contrast to the iso-kinetic Lorentz gas where +phase-space contraction occurs in the bulk, the phase-space contraction rate +here takes place at the periodic boundaries.",0701024v1 +2007-06-04,Generation of microwave radiation in planar spin-transfer devices,"Current induced precession states in spin-transfer devices are studied in the +case of large easy plane anisotropy (present in most experimental setups). It +is shown that the effective one-dimensional planar description provides a +simple qualitative understanding of the emergence and evolution of such states. +Switching boundaries are found analytically for the collinear device and the +spin-flip transistor. The latter can generate microwave oscillations at zero +external magnetic field without either special functional form of spin-transfer +torque, or ``field-like'' terms, if Gilbert constant corresponds to the +overdamped planar regime.",0706.0529v1 +2008-09-16,Stochastic dynamics of magnetization in a ferromagnetic nanoparticle out of equilibrium,"We consider a small metallic particle (quantum dot) where ferromagnetism +arises as a consequence of Stoner instability. When the particle is connected +to electrodes, exchange of electrons between the particle and the electrodes +leads to a temperature- and bias-driven Brownian motion of the direction of the +particle magnetization. Under certain conditions this Brownian motion is +described by the stochastic Landau-Lifshitz-Gilbert equation. As an example of +its application, we calculate the frequency-dependent magnetic susceptibility +of the particle in a constant external magnetic field, which is relevant for +ferromagnetic resonance measurements.",0809.2611v1 +2009-04-05,Projective Space Codes for the Injection Metric,"In the context of error control in random linear network coding, it is useful +to construct codes that comprise well-separated collections of subspaces of a +vector space over a finite field. In this paper, the metric used is the +so-called ""injection distance"", introduced by Silva and Kschischang. A +Gilbert-Varshamov bound for such codes is derived. Using the code-construction +framework of Etzion and Silberstein, new non-constant-dimension codes are +constructed; these codes contain more codewords than comparable codes designed +for the subspace metric.",0904.0813v2 +2009-05-28,Hamilton cycles in random geometric graphs,"We prove that, in the Gilbert model for a random geometric graph, almost +every graph becomes Hamiltonian exactly when it first becomes 2-connected. This +answers a question of Penrose. We also show that in the k-nearest neighbor +model, there is a constant \kappa\ such that almost every \kappa-connected +graph has a Hamilton cycle.",0905.4650v2 +2011-06-28,Stability of precessing domain walls in ferromagnetic nanowires,"We show that recently reported precessing solution of Landau-Lifshitz-Gilbert +equations in ferromagnetic nanowires is stable under small perturbations of +initial data, applied field and anisotropy constant. Linear stability is +established analytically, while nonlinear stability is verified numerically.",1106.5808v2 +2013-05-25,Thermally-Assisted Spin-Transfer Torque Dynamics in Energy Space,"We consider the general Landau-Lifshitz-Gilbert theory underlying the +magnetization dynamics of a macrospin magnet subject to spin-torque effects and +thermal fluctuations. Thermally activated dynamical properties are analyzed by +averaging the full magnetization equations over constant- energy orbits. After +averaging, all the relevant dynamical scenarios are a function of the ratio +between hard and easy axis anisotropies. We derive analytically the range of +currents for which limit cycles exist and discuss the regimes in which the +constant energy orbit averaging technique is applicable.",1305.5945v2 +2017-03-05,On the VC-Dimension of Binary Codes,"We investigate the asymptotic rates of length-$n$ binary codes with +VC-dimension at most $dn$ and minimum distance at least $\delta n$. Two upper +bounds are obtained, one as a simple corollary of a result by Haussler and the +other via a shortening approach combining Sauer-Shelah lemma and the linear +programming bound. Two lower bounds are given using Gilbert-Varshamov type +arguments over constant-weight and Markov-type sets.",1703.01586v2 +2018-09-22,"Optimizing a Generalized Gini Index in Stable Marriage Problems: NP-Hardness, Approximation and a Polynomial Time Special Case","This paper deals with fairness in stable marriage problems. The idea studied +here is to achieve fairness thanks to a Generalized Gini Index (GGI), a +well-known criterion in inequality measurement, that includes both the +egalitarian and utilitarian criteria as special cases. We show that determining +a stable marriage optimizing a GGI criterion of agents' disutilities is an +NP-hard problem. We then provide a polynomial time 2-approximation algorithm in +the general case, as well as an exact algorithm which is polynomial time in the +case of a constant number of non-zero weights parametrizing the GGI criterion.",1809.08453v1 +2023-05-31,Codes from Goppa codes,"On a Goppa code whose structure polynomial has coefficients in the symbol +field, the Frobenius acts. Its fixed codewords form a subcode. Deleting the +naturally occurred redundance, we obtain a new code. It is proved that these +new codes approach the Gilbert-Varshamov bound. It is also proved that these +codes can be decoded within $O(n^2(\logn)^a)$ operations in the symbol field, +which is usually much small than the location field, where $n$ is the codeword +length, and $a$ a constant determined by the polynomial factorization +algorithm.",2305.19565v5 +2019-12-09,Analytical solution of linearized equations of the Morris-Lecar neuron model at large constant stimulation,"The classical biophysical Morris-Lecar model of neuronal excitability +predicts that upon stimulation of the neuron with a sufficiently large constant +depolarizing current there exists a finite interval of the current values where +periodic spike generation occurs. Above the upper boundary of this interval, +there is four-stage damping of the spike amplitude: 1) minor primary damping, +which reflects a typical transient to stationary dynamic state, 2) plateau of +nearly undamped periodic oscillations, 3) strong damping, and 4) reaching a +constant asymptotic value of the neuron potential. We have shown that in the +vicinity of the asymptote the Morris-Lecar equations can be reduced to the +standard equation for exponentially damped harmonic oscillations. Importantly, +all coefficients of this equation can be explicitly expressed through +parameters of the original Morris-Lecar model, enabling direct comparison of +the numerical and analytical solutions for the neuron potential dynamics at +later stages of the spike amplitude damping.",1912.04083v4 +2011-03-08,Application of Explicit Symplectic Algorithms to Integration of Damping Oscillators,"In this paper an approach is outlined. With this approach some explicit +algorithms can be applied to solve the initial value problem of $n-$dimensional +damped oscillators. This approach is based upon following structure: for any +non-conservative classical mechanical system and arbitrary initial conditions, +there exists a conservative system; both systems share one and only one common +phase curve; and, the value of the Hamiltonian of the conservative system is, +up to an additive constant, equal to the total energy of the non-conservative +system on the aforementioned phase curve, the constant depending on the initial +conditions. A key way applying explicit symplectic algorithms to damping +oscillators is that by the Newton-Laplace principle the nonconservative force +can be reasonably assumed to be equal to a function of a component of +generalized coordinates $q_i$ along a phase curve, such that the damping force +can be represented as a function analogous to an elastic restoring force +numerically in advance. Two numerical examples are given to demonstrate the +good characteristics of the algorithms.",1103.1455v1 +2014-05-12,Global Existence and Nonlinear Diffusion of Classical Solutions to Non-Isentropic Euler Equations with Damping in Bounded Domain,"We considered classical solutions to the initial boundary value problem for +non-isentropic compressible Euler equations with damping in multi-dimensions. +We obtained global a priori estimates and global existence results of classical +solutions to both non-isentropic Euler equations with damping and their +nonlinear diffusion equations under small data assumption. We proved the +pressure and velocity decay exponentially to constants, while the entropy and +density can not approach constants. Finally, we proved the pressure and +velocity of the non-isentropic Euler equations with damping converge +exponentially to those of their nonlinear diffusion equations when the time +goes to infinity.",1405.2842v3 +2019-10-24,The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions,"In this paper, we study the initial value problem for semilinear wave +equations with the time-dependent and scale-invariant damping in two +dimensions. Similarly to the one dimensional case by Kato, Takamura and Wakasa +in 2019, we obtain the lifespan estimates of the solution for a special +constant in the damping term, which are classified by total integral of the sum +of the initial position and speed. The key fact is that, only in two space +dimensions, such a special constant in the damping term is a threshold between +""wave-like"" domain and ""heat-like"" domain. As a result, we obtain a new type of +estimate especially for the critical exponent.",1910.11692v2 +2020-08-06,Quantum sensing of open systems: Estimation of damping constants and temperature,"We determine quantum precision limits for estimation of damping constants and +temperature of lossy bosonic channels. A direct application would be the use of +light for estimation of the absorption and the temperature of a transparent +slab. Analytic lower bounds are obtained for the uncertainty in the estimation, +through a purification procedure that replaces the master equation description +by a unitary evolution involving the system and ad hoc environments. For zero +temperature, Fock states are shown to lead to the minimal uncertainty in the +estimation of damping, with boson-counting being the best measurement +procedure. In both damping and temperature estimates, sequential +pre-thermalization measurements, through a stream of single bosons, may lead to +huge gain in precision.",2008.02728v1 +2020-11-15,A Random Matrix Theory Approach to Damping in Deep Learning,"We conjecture that the inherent difference in generalisation between adaptive +and non-adaptive gradient methods in deep learning stems from the increased +estimation noise in the flattest directions of the true loss surface. We +demonstrate that typical schedules used for adaptive methods (with low +numerical stability or damping constants) serve to bias relative movement +towards flat directions relative to sharp directions, effectively amplifying +the noise-to-signal ratio and harming generalisation. We further demonstrate +that the numerical damping constant used in these methods can be decomposed +into a learning rate reduction and linear shrinkage of the estimated curvature +matrix. We then demonstrate significant generalisation improvements by +increasing the shrinkage coefficient, closing the generalisation gap entirely +in both logistic regression and several deep neural network experiments. +Extending this line further, we develop a novel random matrix theory based +damping learner for second order optimiser inspired by linear shrinkage +estimation. We experimentally demonstrate our learner to be very insensitive to +the initialised value and to allow for extremely fast convergence in +conjunction with continued stable training and competitive generalisation.",2011.08181v5 +2021-06-07,Voltage-control of damping constant in magnetic-insulator/topological-insulator bilayers,"The magnetic damping constant is a critical parameter for magnetization +dynamics and the efficiency of memory devices and magnon transport. Therefore, +its manipulation by electric fields is crucial in spintronics. Here, we +theoretically demonstrate the voltage-control of magnetic damping in ferro- and +ferrimagnetic-insulator (FI)/topological-insulator (TI) bilayers. Assuming a +capacitor-like setup, we formulate an effective dissipation torque induced by +spin-charge pumping at the FI/TI interface as a function of an applied voltage. +By using realistic material parameters, we find that the effective damping for +a FI with 10nm thickness can be tuned by one order of magnitude under the +voltage with 0.25V. Also, we provide perspectives on the voltage-induced +modulation of the magnon spin transport on proximity-coupled FIs.",2106.03332v1 +2023-01-22,Boundary stabilization of a vibrating string with variable length,"We study small vibrations of a string with time-dependent length $\ell(t)$ +and boundary damping. The vibrations are described by a 1-d wave equation in an +interval with one moving endpoint at a speed $\ell'(t)$ slower than the speed +of propagation of the wave c=1. With no damping, the energy of the solution +decays if the interval is expanding and increases if the interval is shrinking. +The energy decays faster when the interval is expanding and a constant damping +is applied at the moving end. However, to ensure the energy decay in a +shrinking interval, the damping factor $\eta$ must be close enough to the +optimal value $\eta=1$, corresponding to the transparent condition. In all +cases, we establish lower and upper estimates for the energy with explicit +constants.",2301.09086v1 +2022-08-03,On ergodic invariant measures for the stochastic Landau-Lifschitz-Gilbert equation in 1D,"We establish existence of an ergodic invariant measure on +$H^1(D,\mathbb{R}^3)\cap L^2(D,\mathbb{S}^2)$ for the stochastic +Landau-Lifschitz-Gilbert equation on a bounded one dimensional interval $D$. +The conclusion is achieved by employing the classical Krylov-Bogoliubov +theorem. In contrast to other equations, verifying the hypothesis of the +Krylov-Bogoliubov theorem is not a standard procedure. We employ rough paths +theory to show that the semigroup associated to the equation has the Feller +property in $H^1(D,\mathbb{R}^3)\cap L^2(D,\mathbb{S}^2)$. It does not seem +possible to achieve the same conclusion by the classical Stratonovich calculus. +On the other hand, we employ the classical Stratonovich calculus to prove the +tightness hypothesis. The Krein-Milman theorem implies existence of an ergodic +invariant measure. In case of spatially constant noise, we show that there +exists a unique Gibbs invariant measure and we establish the qualitative +behaviour of the unique stationary solution. In absence of the anisotropic +energy and for a spatially constant noise, we are able to provide a path-wise +long time behaviour result: in particular, every solution synchronises with a +spherical Brownian motion and it is recurrent for large times",2208.02136v2 +2008-07-23,"Damped driven coupled oscillators: entanglement, decoherence and the classical limit","The interaction of (two-level) Rydberg atoms with dissipative QED cavity +fields can be described classically or quantum mechanically, even for very low +temperatures and mean number of photons, provided the damping constant is large +enough. We investigate the quantum-classical border, the entanglement and +decoherence of an analytically solvable model, analog to the atom-cavity +system, in which the atom (field) is represented by a (driven and damped) +harmonic oscillator. The maximum value of entanglement is shown to depend on +the initial state and the dissipation-rate to coupling-constant ratio. While in +the original model the atomic entropy never grows appreciably (for large +dissipation rates), in our model it reaches a maximum before decreasing. +Although both models predict small values of entanglement and dissipation, for +fixed times of the order of the inverse of the coupling constant and large +dissipation rates, these quantities decrease faster, as a function of the ratio +of the dissipation rate to the coupling constant, in our model.",0807.3715v1 +1999-08-26,Oscillator Strengths and Damping Constants for Atomic Lines in the J and H Bands,"We have built a line list in the near-infrared J and H bands (1.00-1.34, +1.49-1.80 um) by gathering a series of laboratory and computed line lists. +Oscillator strengths and damping constants were computed or obtained by fitting +the solar spectrum. + The line list presented in this paper is, to our knowledge, the most complete +one now available, and supersedes previous lists.",9908296v1 +1998-07-02,Linear systems with adiabatic fluctuations,"We consider a dynamical system subjected to weak but adiabatically slow +fluctuations of external origin. Based on the ``adiabatic following'' +approximation we carry out an expansion in \alpha/|\mu|, where \alpha is the +strength of fluctuations and 1/|\mu| refers to the time scale of evolution of +the unperturbed system to obtain a linear differential equation for the average +solution. The theory is applied to the problems of a damped harmonic oscillator +and diffusion in a turbulent fluid. The result is the realization of +`renormalized' diffusion constant or damping constant for the respective +problems. The applicability of the method has been critically analyzed.",9807031v1 +2004-09-15,Rippled Cosmological Dark Matter from Damped Oscillating Newton Constant,"Let the reciprocal Newton 'constant' be an apparently non-dynamical +Brans-Dicke scalar field damped oscillating towards its General Relativistic +VEV. We show, without introducing additional matter fields or dust, that the +corresponding cosmological evolution averagely resembles, in the Jordan frame, +the familiar dark radiation -> dark matter -> dark energy domination sequence. +The fingerprints of our theory are fine ripples, hopefully testable, in the FRW +scale factor; they die away at the General Relativity limit. The possibility +that the Brans-Dicke scalar also serves as the inflaton is favorably examined.",0409059v2 +2009-08-31,Rigorous Theory of Optical Trapping by an Optical Vortex Beam,"We propose a rigorous theory for the optical trapping by optical vortices, +which is emerging as an important tool to trap mesoscopic particles. The common +perception is that the trapping is solely due to the gradient force, and may be +characterized by three real force constants. However, we show that the optical +vortex trap can exhibit complex force constants, implying that the trapping +must be stabilized by ambient damping. At different damping levels, particle +shows remarkably different dynamics, such as stable trapping, periodic and +aperiodic orbital motions.",0908.4504v1 +2009-10-24,Two bodies gravitational system with variable mass and damping-antidamping effect due to star wind,"We study two-bodies gravitational problem where the mass of one of the bodies +varies and suffers a damping-antidamping effect due to star wind during its +motion. A constant of motion, a Lagrangian and a Hamiltonian are given for the +radial motion of the system, and the period of the body is studied using the +constant of motion of the system. An application to the comet motion is given, +using the comet Halley as an example.",0910.4684v2 +2012-03-02,Damping-Antidamping Effect on Comets Motion,"We make an observation about Galilean transformation on a 1-D mass variable +systems which leads us to the right way to deal with mass variable systems. +Then using this observation, we study two-bodies gravitational problem where +the mass of one of the bodies varies and suffers a damping-antidamping effect +due to star wind during its motion. For this system, a constant of motion, a +Lagrangian and a Hamiltonian are given for the radial motion, and the period of +the body is studied using the constant of motion of the system. Our theoretical +results are applied to Halley's comet.",1203.0495v2 +2012-03-09,Collective Light Emission of a Finite Size Atomic Chain,"Radiative properties of collective electronic states in a one dimensional +atomic chain are investigated. Radiative corrections are included with +emphasize put on the effect of the chain size through the dependence on both +the number of atoms and the lattice constant. The damping rates of collective +states are calculated in considering radiative effects for different values of +the lattice constant relative to the atomic transition wave length. Especially +the symmetric state damping rate as a function of the number of the atoms is +derived. The emission pattern off a finite linear chain is also presented. The +results can be adopted for any chain of active material, e.g., a chain of +semiconductor quantum dots or organic molecules on a linear matrix.",1203.2094v1 +2022-11-18,Energy decay estimates for an axially travelling string damped at one end,"We study the small vibrations of an axially travelling string with a +dashpoint damping at one end. The string is modelled by a wave equation in a +time-dependent interval with two endpoints moving at a constant speed $v$. For +the undamped case, we obtain a conserved functional equivalent to the energy of +the solution. We derive precise upper and lower estimates for the exponential +decay of the energy with explicit constants. These estimates do not seem to be +reported in the literature even for the non-travelling case $v=0$.",2211.10537v1 +2023-04-19,Inviscid damping of monotone shear flows for 2D inhomogeneous Euler equation with non-constant density in a finite channel,"We prove the nonlinear inviscid damping for a class of monotone shear flows +with non-constant background density for the two-dimensional ideal +inhomogeneous fluids in $\mathbb{T}\times [0,1]$ when the initial perturbation +is in Gevrey-$\frac{1}{s}$ ($\frac{1}{2} 0$. We further +improve our result for unweighted graphs to $2/3$ using edge degree constrained +subgraphs (EDCS).",2205.14717v1 +2009-10-20,Bifurcation and chaos in spin-valve pillars in a periodic applied magnetic field,"We study the bifurcation and chaos scenario of the macro-magnetization vector +in a homogeneous nanoscale-ferromagnetic thin film of the type used in +spin-valve pillars. The underlying dynamics is described by a generalized +Landau-Lifshitz-Gilbert (LLG) equation. The LLG equation has an especially +appealing form under a complex stereographic projection, wherein the +qualitative equivalence of an applied field and a spin-current induced torque +is transparent. Recently chaotic behavior of such a spin vector has been +identified by Zhang and Li using a spin polarized current passing through the +pillar of constant polarization direction and periodically varying magnitude, +owing to the spin-transfer torque effect. In this paper we show that the same +dynamical behavior can be achieved using a periodically varying applied +magnetic field, in the presence of a constant DC magnetic field and constant +spin current, which is technically much more feasible, and demonstrate +numerically the chaotic dynamics in the system for an infinitely thin film. +Further, it is noted that in the presence of a nonzero crystal anisotropy field +chaotic dynamics occurs at much lower magnitudes of the spin-current and DC +applied field.",0910.3776v1 +2021-11-21,Explicit complex-valued solutions of the 2D eikonal equation,"We present a method to obtain explicit solutions of the complex eikonal +equation in the plane. This equation arises in the approximation of Helmholtz +equation by the WKBJ or EWT methods. We obtain the complex-valued solutions +(called eikonals) as parameterizations in a complex variable. We consider both +the cases of constant and non-constant index of refraction. In both cases, the +relevant parameterizations depend on some holomorphic function. In the case of +non-constant index of refraction, the parametrization also depends on some +extra exponential complex-valued function and on a quasi-conformal +homeomorphism. This is due to the use of the theory of pseudo-analytic +functions and the related similarity principle. The parameterizations give +information about the formation of caustics and the light and shadow regions +for the relevant eikonals.",2111.10852v1 +1996-01-09,Relaxation of Collective Excitations in LJ-13 Cluster,"We have performed classical molecular dynamics simulation of $Ar_{13}$ +cluster to study the behavior of collective excitations. In the solid ``phase'' +of the cluster, the collective oscillation of the monopole mode can be well +fitted to a damped harmonic oscillator. The parameters of the equivalent damped +harmonic oscillator-- the damping coefficient, spring constant, time period of +oscillation and the mass of the oscillator -- all show a sharp change in +behavior at a kinetic temperature of about $7.0^oK$. This marks yet another +characteristic temperature of the system, a temperature $T_s$ below which +collective excitations are very stable, and at higher temperatures the single +particle excitations cause the damping of the collective oscillations. We argue +that so long as the cluster remains confined within the global potential energy +minimum the collective excitations do not decay; and once the cluster comes out +of this well, the local potential energy minima pockets act as single particle +excitation channels in destroying the collective motion. The effect is manifest +in almost all the physical observables of the cluster.",9601026v2 +2005-04-22,Constraint damping in the Z4 formulation and harmonic gauge,"We show that by adding suitable lower-order terms to the Z4 formulation of +the Einstein equations, all constraint violations except constant modes are +damped. This makes the Z4 formulation a particularly simple example of a +lambda-system as suggested by Brodbeck et al. We also show that the Einstein +equations in harmonic coordinates can be obtained from the Z4 formulation by a +change of variables that leaves the implied constraint evolution system +unchanged. Therefore the same method can be used to damp all constraints in the +Einstein equations in harmonic gauge.",0504114v2 +2008-10-21,On Wigner functions and a damped star product in dissipative phase-space quantum mechanics,"Dito and Turrubiates recently introduced an interesting model of the +dissipative quantum mechanics of a damped harmonic oscillator in phase space. +Its key ingredient is a non-Hermitian deformation of the Moyal star product +with the damping constant as deformation parameter. We compare the +Dito-Turrubiates scheme with phase-space quantum mechanics (or deformation +quantization) based on other star products, and extend it to incorporate Wigner +functions. The deformed (or damped) star product is related to a complex +Hamiltonian, and so necessitates a modified equation of motion involving +complex conjugation. We find that with this change the Wigner function +satisfies the classical equation of motion. This seems appropriate since +non-dissipative systems with quadratic Hamiltonians share this property.",0810.3893v1 +2017-09-12,Temperature effects on MIPs in the BGO calorimeters of DAMPE,"In this paper, we presented a study of temperature effects on BGO +calorimeters using proton MIP's collected in the first year operation of DAMPE. +By directly comparing MIP calibration constants used by DAMPE data production +pipe line, we found an experimental relation between temperature and signal +amplitudes of each BGO bar: a general deviation of -1.162%/$^{\circ}$C,and +-0.47%/$^{\circ}$C to -1.60%/$^{\circ}$C statistically for each detector +element. During 2016, DAMPE's temperature changed by about 7 degrees due to +solar elevation angle and the corresponding energy scale bias is about 8%. By +frequent MIP calibration operation, this kind of bias is eliminated to an +acceptable value.",1709.03735v2 +2015-02-01,Nonlocal Damping of Helimagnets in One-Dimensional Interacting Electron Systems,"We investigate the magnetization relaxation of a one-dimensional helimagnetic +system coupled to interacting itinerant electrons. The relaxation is assumed to +result from the emission of plasmons, the elementary excitations of the +one-dimensional interacting electron system, caused by slow changes of the +magnetization profile. This dissipation mechanism leads to a highly nonlocal +form of magnetization damping that is strongly dependent on the +electron-electron interaction. Forward scattering processes lead to a spatially +constant damping kernel, while backscattering processes produce a spatially +oscillating contribution. Due to the nonlocal damping, the thermal fluctuations +become spatially correlated over the entire system. We estimate the +characteristic magnetization relaxation times for magnetic quantum wires and +nuclear helimagnets.",1502.00268v2 +2017-07-08,Nonlinear dynamics of damped DNA systems with long-range interactions,"We investigate the nonlinear dynamics of a damped Peyrard-Bishop DNA model +taking into account long-range interactions with distance dependence |l|^-s on +the elastic coupling constant between different DNA base pairs. Considering +both Stokes and long-range hydrodynamical damping forces, we use the discrete +difference operator technique and show in the short wavelength modes that the +lattice equation can be governed by the complex Ginzburg-Landau equation. We +found analytically that the technique leads to the correct expression for the +breather soliton parameters. We found that the viscosity makes the amplitude of +the breather to damp out. We compare the approximate analytic results with +numerical simulations for the value s = 3 (dipole-dipole interactions).",1707.02425v1 +2019-07-10,Determination of the damping co-efficient of electrons in optically transparent glasses at the true resonance frequency in the ultraviolet from an analysis of the Lorentz-Maxwell model of dispersion,"The Lorentz-Maxwell model of dispersion of light has been analyzed in this +paper to determine the true resonance frequency in the ultraviolet for the +electrons in optically transparent glasses and the damping coefficient at this +frequency. For this we needed the refractive indices of glass in the optical +frequency range. We argue that the true resonance condition in the absorption +region prevails when the frequency at which the absorption coefficient is +maximum is the same as the frequency at which the average energy per cycle of +the electrons is also a maximum. We have simultaneously solved the two +equations obtained from the two maxima conditions numerically to arrive at a +unique solution for the true resonance frequency and the damping coefficient at +this frequency. Assuming the damping coefficient to be constant over a small +frequency range in the absorption region, we have determined the frequencies at +which the extinction coefficient and the reflectance are maxima. These +frequencies match very well with the published data for silica glasses +available from the literature.",1907.04499v1 +2019-07-21,Critical Thresholds in One Dimensional Damped Euler-Poisson Systems,"This paper is concerned with the critical threshold phenomenon for one +dimensional damped, pressureless Euler-Poisson equations with electric force +induced by a constant background, originally studied in [S. Engelberg and H. +Liu and E. Tadmor, Indiana Univ. Math. J., 50:109--157, 2001]. A simple +transformation is used to linearize the characteristic system of equations, +which allows us to study the geometrical structure of critical threshold curves +for three damping cases: overdamped, underdamped and borderline damped through +phase plane analysis. We also derive the explicit form of these critical +curves. These sharp results state that if the initial data is within the +threshold region, the solution will remain smooth for all time, otherwise it +will have a finite time breakdown. Finally, we apply these general results to +identify critical thresholds for a non-local system subjected to initial data +on the whole line.",1907.09039v1 +2022-06-17,Resolvent estimates for the one-dimensional damped wave equation with unbounded damping,"We study the generator $G$ of the one-dimensional damped wave equation with +unbounded damping. We show that the norm of the corresponding resolvent +operator, $\| (G - \lambda)^{-1} \|$, is approximately constant as $|\lambda| +\to +\infty$ on vertical strips of bounded width contained in the closure of +the left-hand side complex semi-plane, $\overline{\mathbb{C}}_{-} := \{\lambda +\in \mathbb{C}: \operatorname{Re} \lambda \le 0\}$. Our proof rests on a +precise asymptotic analysis of the norm of the inverse of $T(\lambda)$, the +quadratic operator associated with $G$.",2206.08820v2 +2023-12-14,Smoluchowski-Kramers diffusion approximation for systems of stochastic damped wave equations with non-constant friction,"We consider systems of damped wave equations with a state-dependent damping +coefficient and perturbed by a Gaussian multiplicative noise. Initially, we +investigate their well-posedness, under quite general conditions on the +friction. Subsequently, we study the validity of the so-called +Smoluchowski-Kramers diffusion approximation. We show that, under more +stringent conditions on the friction, in the small-mass limit the solution of +the system of stochastic damped wave equations converges to the solution of a +system of stochastic quasi-linear parabolic equations. In this convergence, an +additional drift emerges as a result of the interaction between the noise and +the state-dependent friction. The identification of this limit is achieved by +using a suitable generalization of the classical method of perturbed test +functions, tailored to the current infinite dimensional setting.",2312.08925v1 +2024-01-01,Magnon Damping Minimum and Logarithmic Scaling in a Kondo-Heisenberg Model,"Recently, an anomalous temperature evolution of spin wave excitations has +been observed in a van der Waals metallic ferromagnet Fe$_3$GeTe$_2$ (FGT) [S. +Bao, et al., Phys. Rev. X 12, 011022 (2022)], whose theoretical understanding +yet remains elusive. Here we study the spin dynamics of a ferromagnetic +Kondo-Heisenberg lattice model at finite temperature, and propose a mechanism +of magnon damping that explains the intriguing experimental results. In +particular, we find the magnon damping rate $\gamma(T)$ firstly decreases as +temperature lowers, due to the reduced magnon-magnon scatterings. It then +reaches a minimum at $T_{\rm d}^*$, and rises up again following a logarithmic +scaling $\gamma(T) \sim \ln{(T_0/T)}$ (with $T_0$ a constant) for $T < T_{\rm +d}^*$, which can be attributed to electron-magnon scatterings of spin-flip +type. Moreover, we obtain the phase diagram containing the ferromagnetic and +Kondo insulator phases by varying the Kondo coupling, which may be relevant for +experiments on pressured FGT. The presence of a magnon damping minimum and +logarithmic scaling at low temperature indicates the emergence of the Kondo +effect reflected in the collective excitations of local moments in a Kondo +lattice system.",2401.00758v1 +2024-01-19,Upper bound of the lifespan of the solution to the nonlinear fractional wave equations with time-dependent damping,"In this paper, we study the Cauchy problem of the nonlinear wave equation +with fractional Laplacian and time-dependent damping. Firstly, we derive the +weighted Sobolev estimate of the solution operators for the linear wave +equation with the damping of constant coefficient, and prove the local +existence and uniqueness in the weighted Sobolev space for the power-type +nonlinearity and $b(t)\in L^\infty$, by the contraction mapping principle. +Secondly, we consider the case of the source nonlinearity $f(u)\approx |u|^p$. +In the subcritical and critical cases $1 \omega_F dissipation is +enhanced due to magnon generation. The viscosity \eta_M can be extracted from +the surface impedance of the ferromagnetic superconductor. Estimates of the +magnetic force acting on vortices for the U-based ferromagnetic superconductors +and cuprate/manganite superlattices are given.",1311.7620v1 +2019-03-08,Spin-transfer torques for domain walls in antiferromagnetically coupled ferrimagnets,"Antiferromagnetic materials are outstanding candidates for next generation +spintronic applications, because their ultrafast spin dynamics makes it +possible to realize several orders of magnitude higher-speed devices than +conventional ferromagnetic materials1. Though spin-transfer torque (STT) is a +key for electrical control of spins as successfully demonstrated in +ferromagnetic spintronics, experimental understanding of STT in +antiferromagnets has been still lacking despite a number of pertinent +theoretical studies2-5. Here, we report experimental results on the effects of +STT on domain-wall (DW) motion in antiferromagnetically-coupled ferrimagnets. +We find that non-adiabatic STT acts like a staggered magnetic field and thus +can drive DWs effectively. Moreover, the non-adiabaticity parameter {\beta} of +STT is found to be significantly larger than the Gilbert damping parameter +{\alpha}, challenging our conventional understanding of the non-adiabatic STT +based on ferromagnets as well as leading to fast current-induced +antiferromagnetic DW motion. Our study will lead to further vigorous +exploration of STT for antiferromagnetic spin textures for fundamental physics +on spin-charge interaction as wells for efficient electrical control of +antiferromagnetic devices.",1903.03251v1 +2019-03-26,Engineering of spin mixing conductance in Ru/FeCo/Ru interfaces: Effect of Re Doping,"We have deposited polycrystalline Re doped $(Fe_{65}Co_{35})_{100-x}Re_{x}$ +(0 $\leq$ x $\leq$ 12.6 at\%) thin films grown under identical conditions and +sandwiched between thin layers of Ru in order to study the phenomenon of spin +pumping as a function of Re concentration. In-plane and out-of-plane +ferromagnetic resonance spectroscopy results show an enhancement of the Gilbert +damping with an increase in Re doping. We found evidence of an increase in the +real part of effective spin mixing conductance +[Re($g^{\uparrow\downarrow}_{eff}$)] with the increase in Re doping of 6.6 +at\%, while a decrease is evident at higher Re doping. The increase in +Re($g^{\uparrow\downarrow}_{eff}$) can be linked to the Re doping induced +change of the interface electronic structure in the non-magnetic Ru layer and +the effect interfacial spin-orbit coupling has on the effective spin-mixing +conductance. The lowest and highest values of +Re($g^{\uparrow\downarrow}_{eff}$) are found to be 9.883(02) $nm^{-2}$ and +19.697(02) $nm^{-2}$ for 0 at\% and 6.6 at\% Re doping, respectively. The +saturation magnetization decreases with increasing Re doping, from 2.362(13) T +for the undoped film to 1.740(03) T for 12.6 at\% Re doping. This study opens a +new direction of tuning the spin-mixing conductance in magnetic +heterostructures by doping of the ferromagnetic layerr, which is essential for +the realization of energy efficient operation of spintronic devices.",1903.10966v2 +2020-01-09,Role of longitudinal fluctuations in L$1_0$ FePt,"L$1_0$ FePt is a technologically important material for a range of novel data +storage applications. In the ordered FePt structure the normally non-magnetic +Pt ion acquires a magnetic moment, which depends on the local field originating +from the neighboring Fe atoms. In this work a model of FePt is constructed, +where the induced Pt moment is simulated by using combined longitudinal and +rotational spin dynamics. The model is parameterized to include a linear +variation of the moment with the exchange field, so that at the Pt site the +magnetic moment depends on the Fe ordering. The Curie temperature of FePt is +calculated and agrees well with similar models that incorporate the Pt dynamics +through an effective Fe-only Hamiltonian. By computing the dynamic correlation +function the anisotropy field and the Gilbert damping are extracted over a +range of temperatures. The anisotropy exhibits a power-law dependence with +temperature with exponent $n\approx2.1$. This agrees well with what observed +experimentally and it is obtained without including a two-ion anisotropy term +as in other approaches. Our work shows that incorporating longitudinal +fluctuations into spin dynamics calculations is crucial for understanding the +properties of materials with induced moments.",2001.03074v1 +2020-05-07,Effect of interfacial oxidation layer in spin pumping experiments on Ni$_{80}$Fe$_{20}$/SrIrO$_3$ heterostructures,"SrIrO$_3$ with its large spin-orbit coupling and low charge conductivity has +emerged as a potential candidate for efficient spin-orbit torque magnetization +control in spintronic devices. We here report on the influence of an +interfacial oxide layer on spin pumping experiments in Ni$_{80}$Fe$_{20}$ +(NiFe)/SrIrO$_3$ bilayer heterostructures. To investigate this scenario we have +carried out broadband ferromagnetic resonance (BBFMR) measurements, which +indicate the presence of an interfacial antiferromagnetic oxide layer. We +performed in-plane BBFMR experiments at cryogenic temperatures, which allowed +us to simultaneously study dynamic spin pumping properties (Gilbert damping) +and static magnetic properties (such as the effective magnetization and +magnetic anisotropy). The results for NiFe/SrIrO$_3$ bilayer thin films were +analyzed and compared to those from a NiFe/NbN/SrIrO$_3$ trilayer reference +sample, where a spin-transparent, ultra-thin NbN layer was inserted to prevent +oxidation of NiFe. At low temperatures, we observe substantial differences in +the magnetization dynamics parameters of these samples, which can be explained +by an antiferromagnetic interfacial layer in the NiFe/SrIrO$_3$ bilayers.",2005.03727v1 +2020-05-28,Hard antinodal gap revealed by quantum oscillations in the pseudogap regime of underdoped high-$T_{\rm c}$ superconductors,"An understanding of the missing antinodal electronic excitations in the +pseudogap state is essential for uncovering the physics of the underdoped +cuprate high temperature superconductors. The majority of high temperature +experiments performed thus far, however, have been unable to discern whether +the antinodal states are rendered unobservable due to their damping, or whether +they vanish due to their gapping. Here we distinguish between these two +scenarios by using quantum oscillations to examine whether the small Fermi +surface pocket, found to occupy only 2% of the Brillouin zone in the underdoped +cuprates, exists in isolation against a majority of completely gapped density +of states spanning the antinodes, or whether it is thermodynamically coupled to +a background of ungapped antinodal states. We find that quantum oscillations +associated with the small Fermi surface pocket exhibit a signature sawtooth +waveform characteristic of an isolated two-dimensional Fermi surface pocket. +This finding reveals that the antinodal states are destroyed by a hard gap that +extends over the majority of the Brillouin zone, placing strong constraints on +a drastic underlying origin of quasiparticle disappearance over almost the +entire Brillouin zone in the pseudogap regime.",2005.14123v1 +2020-06-01,Enhancement in Thermally Generated Spin Voltage at Pd/NiFe$_2$O$_4$ Interfaces by the Growth on Lattice-Matched Substrates,"Efficient spin injection from epitaxial ferrimagnetic NiFe$_2$O$_4$ thin +films into a Pd layer is demonstrated via spin Seebeck effect measurements in +the longitudinal geometry. The NiFe$_2$O$_4$ films (60 nm to 1 $\mu$m) are +grown by pulsed laser deposition on isostructural spinel MgAl$_2$O$_4$, +MgGa$_2$O$_4$, and CoGa$_2$O$_4$ substrates with lattice mismatch varying +between 3.2% and 0.2%. For the thinner films ($\leq$ 330 nm), an increase in +the spin Seebeck voltage is observed with decreasing lattice mismatch, which +correlates well with a decrease in the Gilbert damping parameter as determined +from ferromagnetic resonance measurements. High resolution transmission +electron microscopy studies indicate substantial decrease of antiphase boundary +and interface defects that cause strain-relaxation, i.e., misfit dislocations, +in the films with decreasing lattice mismatch. This highlights the importance +of reducing structural defects in spinel ferrites for efficient spin injection. +It is further shown that angle-dependent spin Seebeck effect measurements +provide a qualitative method to probe for in-plane magnetic anisotropies +present in the films.",2006.00777v1 +2020-10-17,Multiscale modelling of magnetostatic effects on magnetic nanoparticles with application to hyperthermia,"We extend a renormalization group-based course-graining method for +micromagnetic simulations to include properly scaled magnetostatic +interactions. We apply the method in simulations of dynamic hysteresis loops at +clinically relevant sweep rates and at 310 K of iron oxide nanoparticles (NPs) +of the kind that have been used in preclinical studies of magnetic +hyperthermia. The coarse-graining method, along with a time scaling involving +sweep rate and Gilbert damping parameter, allow us to span length scales from +the unit cell to NPs approximately 50 nm in diameter with reasonable simulation +times. For both NPs and the nanorods composing them, we report effective +uniaxial anisotropy strengths and saturation magnetizations, which differ from +those of the bulk materials magnetite and maghemite of which they are made, on +account of the combined non-trivial effects of temperature, inter-rod exchange, +magnetostatic interactions and the degree of orientational order within the +nanorod composites. The effective parameters allow treating the NPs as single +macrospins, and we find for the test case of calculating loops for two aligned +NPs that using the dipole approximation is sufficient for distances beyond 1.5 +times the NP diameter. We also present a study on relating integration time +step to micromagnetic cell size, finding that the optimal time step size scales +approximately linearly with cell volume.",2010.08848v1 +2021-02-09,Unconventional quantum vortex matter state hosts quantum oscillations in the underdoped high-temperature cuprate superconductors,"A central question in the underdoped cuprates pertains to the nature of the +pseudogap ground state. A conventional metallic ground state of the pseudogap +region has been argued to host quantum oscillations upon destruction of the +superconducting order parameter by modest magnetic fields. Here we use low +applied measurement currents and millikelvin temperatures on ultra-pure single +crystals of underdoped YBa$_2$Cu$_3$O$_{6+x}$ to unearth an unconventional +quantum vortex matter ground state characterized by vanishing electrical +resistivity, magnetic hysteresis, and non-ohmic electrical transport +characteristics beyond the highest laboratory accessible static fields. A new +model of the pseudogap ground state is now required to explain quantum +oscillations that are hosted by the bulk quantum vortex matter state without +experiencing sizeable additional damping in the presence of a large maximum +superconducting gap; possibilities include a pair density wave.",2102.04927v2 +2021-03-08,Emerging magnetic nutation,"Nutation has been recognized as of great significance for spintronics; but +justifying its presence has proven to be a hard problem. In this paper we show +that nutation can be understood as emerging from a systematic expansion of a +kernel that describes the history of the interaction of a magnetic moment with +a bath of colored noise. The parameter of the expansion is the ratio of the +colored noise timescale to the precession period. In the process we obtain the +Gilbert damping from the same expansion. We recover the known results, when the +coefficients of the two terms are proportional to one another, in the white +noise limit; and show how colored noise leads to situations where this simple +relation breaks down, but what replaces it can be understood by the appropriate +generalization of the fluctuation--dissipation theorem. Numerical simulations +of the stochastic equations support the analytic approach. In particular we +find that the equilibration time is about an order of magnitude longer than the +timescale set by the colored noise for a wide range of values of the latter and +we can identify the presence of nutation in the non-uniform way the +magnetization approaches equilibrium.",2103.04787v3 +2021-03-11,Long-range spin transport on the surface of topological Dirac semimetal,"We theoretically propose the long-range spin transport mediated by the +gapless surface states of topological Dirac semimetal (TDSM). Low-dissipation +spin current is a building block of next-generation spintronics devices. While +conduction electrons in metals and spin waves in ferromagnetic insulators +(FMIs) are the major carriers of spin current, their propagation length is +inevitably limited due to the Joule heating or the Gilbert damping. In order to +suppress dissipation and realize long-range spin transport, we here make use of +the spin-helical surface states of TDSMs, such as $\mathrm{Cd_3 As_2}$ and +$\mathrm{Na_3 Bi}$, which are robust against disorder. Based on a junction of +two FMIs connected by a TDSM, we demonstrate that the magnetization dynamics in +one FMI induces a spin current on the TDSM surface flowing to the other FMI. By +both the analytical transport theory on the surface and the numerical +simulation of real-time evolution in the bulk, we find that the induced spin +current takes a universal semi-quantized value that is insensitive to the +microscopic coupling structure between the FMI and the TDSM. We show that this +surface spin current is robust against disorder over a long range, which +indicates that the TDSM surface serves as a promising system for realizing +spintronics devices.",2103.06519v1 +2021-06-23,Spin dynamics of itinerant electrons: local magnetic moment formation and Berry phase,"The state-of-the-art theoretical description of magnetic materials relies on +solving effective Heisenberg spin problems or their generalizations to +relativistic or multi-spin-interaction cases that explicitly assume the +presence of local magnetic moments in the system. We start with a general +interacting fermionic model that is often obtained in ab initio electronic +structure calculations and show that the corresponding spin problem can be +introduced even in the paramagnetic regime, which is characterized by a zero +average value of the magnetization. Further, we derive a physical criterion for +the formation of the local magnetic moment and confirm that the latter exists +already at high temperatures well above the transition to the ordered magnetic +state. The use of path-integral techniques allows us to disentangle spin and +electronic degrees of freedom and to carefully separate rotational dynamics of +the local magnetic moment from Higgs fluctuations of its absolute value. It +also allows us to accurately derive the topological Berry phase and relate it +to a physical bosonic variable that describes dynamics of the spin degrees of +freedom. As the result, we demonstrate that the equation of motion in the case +of a large magnetic moment takes a conventional Landau-Lifshitz form that +explicitly accounts for the Gilbert damping due to itinerant nature of the +original electronic model.",2106.12462v3 +2021-11-20,Skyrmionics in correlated oxides,"While chiral magnets, metal-based magnetic multilayers, or Heusler compounds +have been considered as the material workhorses in the field of skyrmionics, +oxides are now emerging as promising alternatives, as they host special +correlations between the spin-orbital-charge-lattice degrees of freedom and/or +coupled ferroic order parameters. These interactions open new possibilities for +practically exploiting skyrmionics. In this article, we review the recent +advances in the observation and control of topological spin textures in various +oxide systems. We start with the discovery of skyrmions and related +quasiparticles in bulk and heterostructure ferromagnetic oxides. Next, we +emphasize the shortcomings of implementing ferromagnetic textures, which have +led to the recent explorations of ferrimagnetic and antiferromagnetic oxide +counterparts, with higher Curie temperatures, stray-field immunity, low Gilbert +damping, ultrafast magnetic dynamics, and/or absence of skyrmion deflection. +Then, we highlight the development of novel pathways to control the stability, +motion, and detection of topological textures using electric fields and +currents. Finally, we present the outstanding challenges that need to be +overcome to achieve all-electrical, nonvolatile, low-power oxide skyrmionic +devices.",2111.10562v2 +2021-12-01,Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics,"Recently, Kim & Wilkening (Convergence of a mass-lumped finite element method +for the Landau-Lifshitz equation, Quart. Appl. Math., 76, 383-405, 2018) +proposed two novel predictor-corrector methods for the Landau-Lifshitz-Gilbert +equation (LLG) in micromagnetics, which models the dynamics of the +magnetization in ferromagnetic materials. Both integrators are based on the +so-called Landau-Lifshitz form of LLG, use mass-lumped variational formulations +discretized by first-order finite elements, and only require the solution of +linear systems, despite the nonlinearity of LLG. The first(-order in time) +method combines a linear update with an explicit projection of an intermediate +approximation onto the unit sphere in order to fulfill the LLG-inherent +unit-length constraint at the discrete level. In the second(-order in time) +integrator, the projection step is replaced by a linear constraint-preserving +variational formulation. In this paper, we extend the analysis of the +integrators by proving unconditional well-posedness and by establishing a close +connection of the methods with other approaches available in the literature. +Moreover, the new analysis also provides a well-posed integrator for the +Schr\""odinger map equation (which is the limit case of LLG for vanishing +damping). Finally, we design an implicit-explicit strategy for the treatment of +the lower-order field contributions, which significantly reduces the +computational cost of the schemes, while preserving their theoretical +properties.",2112.00451v1 +2022-01-27,Magnon transport and thermoelectric effects in ultrathin Tm3Fe5O12/Pt nonlocal devices,"The possibility of electrically exciting and detecting magnon currents in +magnetic insulators has opened exciting perspectives for transporting spin +information in electronic devices. However, the role of the magnetic field and +the nonlocal thermal gradients on the magnon transport remain unclear. Here, by +performing nonlocal harmonic voltage measurements, we investigate magnon +transport in perpendicularly magnetized ultrathin Tm3Fe5O12 (TmIG) films +coupled to Pt electrodes. We show that the first harmonic nonlocal voltage +captures spin-driven magnon transport in TmIG, as expected, and the second +harmonic is dominated by thermoelectric voltages driven by current-induced +thermal gradients at the detector. The magnon diffusion length in TmIG is found +to be on the order of 0.3 {\mu}m at 0.5 T and gradually decays to 0.2 {\mu}m at +0.8 T, which we attribute to the suppression of the magnon relaxation time due +to the increase of the Gilbert damping with field. By performing current, +magnetic field, and distance dependent nonlocal and local measurements we +demonstrate that the second harmonic nonlocal voltage exhibits five +thermoelectric contributions, which originate from the nonlocal spin Seebeck +effect and the ordinary, planar, spin, and anomalous Nernst effects. Our work +provides a guide on how to disentangle magnon signals from diverse +thermoelectric voltages of spin and magnetic origin in nonlocal magnon devices, +and establish the scaling laws of the thermoelectric voltages in +metal/insulator bilayers.",2201.11353v1 +2022-01-31,Tuning spin-orbit torques across the phase transition in VO$_2$/NiFe heterostructure,"The emergence of spin-orbit torques as a promising approach to +energy-efficient magnetic switching has generated large interest in material +systems with easily and fully tunable spin-orbit torques. Here, current-induced +spin-orbit torques in VO$_2$/NiFe heterostructures were investigated using +spin-torque ferromagnetic resonance, where the VO$_2$ layer undergoes a +prominent insulator-metal transition. A roughly two-fold increase in the +Gilbert damping parameter, $\alpha$, with temperature was attributed to the +change in the VO$_2$/NiFe interface spin absorption across the VO$_2$ phase +transition. More remarkably, a large modulation ($\pm$100%) and a sign change +of the current-induced spin-orbit torque across the VO$_2$ phase transition +suggest two competing spin-orbit torque generating mechanisms. The bulk spin +Hall effect in metallic VO$_2$, corroborated by our first-principles +calculation of spin Hall conductivity, $\sigma_{SH} \approx 10^4 +\frac{\hbar}{e} \Omega^{-1} m^{-1}$, is verified as the main source of the +spin-orbit torque in the metallic phase. The self-induced/anomalous torque in +NiFe, of the opposite sign and a similar magnitude to the bulk spin Hall effect +in metallic VO$_2$, could be the other competing mechanism that dominates as +temperature decreases. For applications, the strong tunability of the torque +strength and direction opens a new route to tailor spin-orbit torques of +materials which undergo phase transitions for new device functionalities.",2201.12984v1 +2022-02-03,Controlling spin pumping into superconducting Nb by proximity-induced spin-triplet Cooper pairs,"Proximity-induced long-range spin-triplet supercurrents, important for the +field of superconducting spintronics, are generated in +superconducting/ferromagnetic heterostructures when interfacial magnetic +inhomogeneities responsible for spin mixing and spin flip scattering are +present. The multilayer stack Nb/Cr/Fe/Cr/Nb has been shown to support such +exotic currents when fabricated into Josephson junction devices. However, +creating pure spin currents controllably in superconductors outside of the +Josephson junction architecture is a bottleneck to progress. Recently, +ferromagnetic resonance was proposed as a possible direction, the signature of +pure supercurrent creation being an enhancement of the Gilbert damping below +the superconducting critical temperature, but the necessary conditions are +still poorly established. Consistent with theoretical prediction, we +demonstrate conclusively that pumping pure spin currents into a superconductor +is only possible when conditions supporting proximity-induced spin-triplet +effects are satisfied. Our study is an important step forward for +superconducting pure spin current creation and manipulation, considerably +advancing the field of superconducting spintronics.",2202.01520v1 +2022-06-17,Multiscale Modelling of the Antiferromagnet Mn2Au: From ab-initio to Micromagnetics,"Antiferromagnets (AFMs) are strong candidates for the future spintronic and +memory applications largely because of their inherently fast dynamics and lack +of stray fields, with Mn2Au being one of the most promising. For the numerical +modelling of magnetic material properties, it is common to use ab-initio +methods, atomistic models and micromagnetics. However, each method alone +describes the physics within certain limits. Multiscale methods bridging the +gap between these three approaches have been already proposed for ferromagnetic +materials. Here, we present a complete multiscale model of the AFM Mn2Au as an +exemplar material, starting with results from ab-initio methods going via +atomistic spin dynamics (ASD) to an AFM Landau-Lifshitz-Bloch (AFM-LLB) model. +Firstly, bulk is modelled using a classical spin Hamiltonian constructed based +on earlier first-principles calculations. Secondly, this spin model is used in +the stochastic Landau-Lifshitz-Gilbert (LLG) to calculate temperature-dependent +equilibrium properties, such as magnetization and magnetic susceptibilities. +Thirdly, the temperature dependent micromagnetic parameters are used in the +AFM-LLB. We validate our approach by comparing the ASD and AFM-LLB models for +three paradigmatic cases; (i) Damped magnetic oscillations, (ii) magnetization +dynamics following a heat pulse resembling pump-probe experiments, (iii) +magnetic domain wall motion under thermal gradients.",2206.08625v1 +2022-10-29,Micromagnetic frequency-domain simulation methods for magnonic systems,"We present efficient numerical methods for the simulation of small +magnetization oscillations in three-dimensional micromagnetic systems. +Magnetization dynamics is described by the Landau-Lifshitz-Gilbert (LLG) +equation, linearized in the frequency domain around a generic equilibrium +configuration, and formulated in a special operator form that allows leveraging +large-scale techniques commonly used to evaluate the effective field in +time-domain micromagnetic simulations. By using this formulation, we derive +numerical algorithms to compute the free magnetization oscillations (i.e., spin +wave eigenmodes) as well as magnetization oscillations driven by ac +radio-frequency fields for arbitrarily shaped nanomagnets. Moreover, +semi-analytical perturbation techniques based on the computation of a reduced +set of eigenmodes are provided for fast evaluation of magnetization frequency +response and absorption spectra as a function of damping and ac field. We +present both finite difference and finite element implementations and +demonstrate their effectiveness on a test case. These techniques open the +possibility to study generic magnonic systems discretized with several hundred +thousand (or even millions) of computational cells in a reasonably short time.",2210.16564v3 +2023-03-07,Magnon currents excited by the spin Seebeck effect in ferromagnetic EuS thin films,"A magnetic insulator is an ideal platform to propagate spin information by +exploiting magnon currents. However, until now, most studies have focused on +Y$_3$Fe$_5$O$_{12}$ (YIG) and a few other ferri- and antiferromagnetic +insulators, but not on pure ferromagnets. In this study, we demonstrate for the +first time that magnon currents can propagate in ferromagnetic insulating thin +films of EuS. By performing both local and non-local transport measurements in +18-nm-thick films of EuS using Pt electrodes, we detect magnon currents arising +from thermal generation by the spin Seebeck effect. By comparing the dependence +of the local and non-local signals with the temperature (< 30 K) and magnetic +field (< 9 T), we confirm the magnon transport origin of the non-local signal. +Finally, we extract the magnon diffusion length in the EuS film (~140 nm), a +short value in good correspondence with the large Gilbert damping measured in +the same film.",2303.03833v2 +2023-04-01,A coupled magneto-structural continuum model for multiferroic $\mathrm{BiFeO}_3$,"A continuum approach to study magnetoelectric multiferroic $\mathrm{BiFeO}_3$ +(BFO) is proposed. Our modeling effort marries the ferroelectric (FE) phase +field method and micromagnetic simulations in order to describe the entire +multiferroic order parameter sector (polarization, oxygen antiphase tilts, +strain, and magnetism) self-consistently on the same time and length scale. In +this paper, we discuss our choice of ferroelectric and magnetic energy terms +and demonstrate benchmarks against known behavior. We parameterize the lowest +order couplings of the structural distortions against previous predictions from +density functional theory calculations giving access to simulations of the FE +domain wall (DW) topology. This allows us to estimate the energetic hierarchy +and thicknesses of the numerous structural DWs. We then extend the model to the +canted antiferromagnetic order and demonstrate how the ferroelectric domain +boundaries influence the resulting magnetic DWs. We also highlight some +capabilities of this model by providing two examples relevant for applications. +We demonstrate spin wave transmission through the multiferroic domain +boundaries which identify rectification in qualitative agreement with recent +experimental observations. As a second example of application, we model +fully-dynamical magnetoelectric switching, where we find a sensitivity on the +Gilbert damping with respect to switching pathways. We envision that this +modeling effort will set the basis for further work on properties of arbitrary +3D nanostructures of BFO (and related multiferroics) at the mesoscale.",2304.00270v1 +2023-10-27,Effect of interfacial Dzyaloshinskii-Moriya interaction in spin dynamics of an Antiferromagnet coupled Ferromagnetic double-barrier Magnetic Tunnel Junction,"In this work, we have studied the spin dynamics of a synthethic +Antiferromagnet (SAFM)$|$Heavy Metal (HM)$|$Ferromagnet (FM) double barrier +magnetic tunnel junction (MTJ) in presence of Ruderman-Kittel-Kasuya-Yoside +interaction (RKKYI), interfacial Dzyaloshinskii-Moriya interaction (iDMI), +N\'eel field and Spin-Orbit Coupling (SOC) with different Spin Transfer Torque +(STT). We employ Landau-Lifshitz-Gilbert-Slonczewski (LLGS) equation to +investigate the AFM dynamics of the proposed system. We found that the system +exhibits a transition from regular to damped oscillations with the increase in +strength of STT for systems with weaker iDMI than RKKYI while display sustained +oscillatons for system having same order of iDMI and RKKYI. On the other hand +the iDMI dominating system exhibits self-similar but aperiodic patterns in +absence of N\'eel field. In the presence of N\'eel field, the RKKYI dominating +systems exhibit chaotic oscillations for low STT but display sustained +oscillation under moderate STT. Our results suggest that the decay time of +oscillations can be controlled via SOC. The system can works as an oscillator +for low SOC but display nonlinear characteristics with the rise in SOC for +systems having weaker iDMI than RKKYI while an opposite characteristic are +noticed for iDMI dominating systems. We found periodic oscillations under low +external magnetic field in RKKYI dominating systems while moderate field are +necessary for sustained oscillation in iDMI dominating systems. Moreover, the +system exhibits saddle-node bifurcation and chaos under moderate N\'eel field +and SOC with suitable iDMI and RKKYI. In addition, our results indicate that +the magnon lifetime can be enhanced by increasing the strength of iDMI for both +optical and acoustic modes.",2310.18175v1 +2024-03-01,Spin current control of magnetism,"Exploring novel strategies to manipulate the order parameter of magnetic +materials by electrical means is of great importance, not only for advancing +our understanding of fundamental magnetism, but also for unlocking potential +practical applications. A well-established concept to date uses gate voltages +to control magnetic properties, such as saturation magnetization, magnetic +anisotropies, coercive field, Curie temperature and Gilbert damping, by +modulating the charge carrier population within a capacitor structure. Note +that the induced carriers are non-spin-polarized, so the control via the +electric-field is independent of the direction of the magnetization. Here, we +show that the magnetocrystalline anisotropy (MCA) of ultrathin Fe films can be +reversibly modified by a spin current generated in Pt by the spin Hall effect. +The effect decreases with increasing Fe thickness, indicating that the origin +of the modification can be traced back to the interface. Uniquely, the change +in MCA due to the spin current depends not only on the polarity of the charge +current but also on the direction of magnetization, i.e. the change in MCA has +opposite sign when the direction of magnetization is reversed. The control of +magnetism by the spin current results from the modified exchange splitting of +majority- and minority-spin bands, and differs significantly from the +manipulation by gate voltages via a capacitor structure, providing a +functionality that was previously unavailable and could be useful in advanced +spintronic devices.",2403.00709v1 +2007-02-12,The Ucsd/Keck Damped Lya Abundance Database: A Decade of High Resolution Spectroscopy,"We publish the Keck/HIRES and Keck/ESI spectra that we have obtained during +the first 10 years of Keck observatory operations. Our full sample includes 42 +HIRES spectra and 39 ESI spectra along 65 unique sightlines providing abundance +measurements on ~85 damped Lya systems. The normalized data can be downloaded +from the journal or from our supporting website: +http://www.ucolick.org/~xavier/DLA/. The database includes all of the +sightlines that have been included in our papers on the chemical abundances, +kinematics, and metallicities of the damped Lya systems. This data has also +been used to argue for variations in the fine-structure constant. We present +new chemical abundance measurements for 10 damped Lya systems and a summary +table of high-resolution metallicity measurements (including values from the +literature) for 153 damped Lya systems at z>1.6. We caution, however, that this +metallicity sample (and all previous ones) is biased to higher N(HI) values +than a random sample.",0702325v1 +1998-06-30,Structure and Spin Dynamics of La$_{0.85}$Sr$_{0.15}$MnO$_3$,"Neutron scattering has been used to study the structure and spin dynamics of +La$_{0.85}$Sr$_{0.15}$MnO$_3$. The magnetic structure of this system is +ferromagnetic below T_C = 235 K. We see anomalies in the Bragg peak intensities +and new superlattice peaks consistent with the onset of a spin-canted phase +below T_{CA} = 205 K, which appears to be associated with a gap at q = (0, 0, +0.5) in the spin-wave spectrum. Anomalies in the lattice parameters indicate a +concomitant lattice distortion. The long-wavelength magnetic excitations are +found to be conventional spin waves, with a gapless (< 0.02 meV) isotropic +dispersion relation $E = Dq^2$. The spin stiffness constant D has a $T^{5/2}$ +dependence at low T, and the damping at small q follows $q^4T^{2}$. An +anomalously strong quasielastic component, however, develops at small wave +vector above 200 K and dominates the fluctuation spectrum as T -> T_C. At +larger q, on the other hand, the magnetic excitations become heavily damped at +low temperatures, indicating that spin waves in this regime are not eigenstates +of the system, while raising the temperature dramatically increases the +damping. The strength of the spin-wave damping also depends strongly on the +symmetry direction in the crystal. These anomalous damping effects are likely +due to the itinerant character of the $e_g$ electrons.",9806381v1 +2008-02-11,Eccentricity of masing disks in Active Galactic Nuclei,"Observations of Keplerian disks of masers in NCG 4258 and other Seyfert +galaxies can be used to obtain geometric distance estimates and derive the +Hubble constant. The ultimate precision of such measurements could be limited +by uncertainties in the disk geometry. Using a time-dependent linear theory +model, we study the evolution of a thin initially eccentric disk under +conditions appropriate to sub-pc scales in Active Galactic Nuclei. The +evolution is controlled by a combination of differential precession driven by +the disk potential and propagating eccentricity waves that are damped by +viscosity. A simple estimate yields a circularization timescale of +approximately 10 Myr at 0.1 pc. Numerical solutions for the eccentricity +evolution confirm that damping commences on this timescale, but show that the +subsequent decay rate of the eccentricity depends upon the uncertain strength +of viscous damping of eccentricity. If eccentricity waves are important further +decay of the eccentricity can be slow, with full circularization requiring up +to 50 Myr for disks at radii of 0.1 pc to 0.2 pc. Observationally, this implies +that it is plausible that enough time has elapsed for the eccentricity of +masing disks to have been substantially damped, but that it may not be +justified to assume vanishing eccentricity. We predict that during the damping +phase the pericenter of the eccentric orbits describes a moderately tightly +wound spiral with radius.",0802.1524v1 +2013-09-26,Non-Landau damping of magnetic excitations in systems with localized and itinerant electrons,"We discuss the form of the damping of magnetic excitations in a metal near a +ferromagnetic instability. The paramagnon theory predicts that the damping term +should have the form $\Omega/\Gamma (q)$ with $\Gamma (q) \propto q$ (the +Landau damping). However, the experiments on uranium metallic compounds UGe$_2$ +and UCoGe showed that $\Gamma (q)$ tends to a constant value at vanishing $q$. +A non-zero $\Gamma (0)$ is impossible in systems with one type of carriers +(either localized or itinerant) because it would violate the spin conservation. +It has been conjectured recently that a non-zero $\Gamma (q)$ in UGe$_2$ and +UCoGe may be due to the presence of both localized and itinerant electrons in +these materials, with ferromagnetism involving predominantly localized spins. +We present microscopic analysis of the damping of near-critical localized +excitations due to interaction with itinerant carriers. We show explicitly how +the presence of two types of electrons breaks the cancellation between the +contributions to $\Gamma (0)$ from self-energy and vertex correction insertions +into the spin polarization bubble and discuss the special role of the +Aslamazov-Larkin processes. We show that $\Gamma (0)$ increases with $T$ both +in the paramagnetic and ferromagnetic regions, but in-between it has a peak at +$T_c$. We compare our theory with the available experimental data.",1309.7065v3 +2016-04-20,Nonlinear wave damping due to multi-plasmon resonances,"For short wavelengths, it is well known that the linearized Wigner-Moyal +equation predicts wave damping due to wave-particle interaction, where the +resonant velocity shifted from the phase velocity by a velocity $v_q = \hbar +k/2m$. Here $\hbar$ is the reduced Planck constant, $k$ is the wavenumber and +$m$ is the electron mass. Going beyond linear theory, we find additional +resonances with velocity shifts $n v_q$, $n = 2, 3, \ldots$, giving rise to a +new wave-damping mechanism that we term \emph{multi-plasmon damping}, as it can +be seen as the simultaneous absorption (or emission) of multiple plasmon +quanta. Naturally this wave damping is not present in classical plasmas. For a +temperature well below the Fermi temperature, if the linear ($n = 1$) resonant +velocity is outside the Fermi sphere, the number of linearly resonant particles +is exponentially small, while the multi-plasmon resonances can be located in +the bulk of the distribution. We derive sets of evolution equations for the +case of two-plasmon and three-plasmon resonances for Langmuir waves in the +simplest case of a fully degenerate plasma. By solving these equations +numerically for a range of wave-numbers we find the corresponding damping +rates, and we compare them to results from linear theory to estimate the +applicability. Finally, we discuss the effects due to a finite temperature.",1604.05983v2 +2017-10-30,Enhancement of intrinsic magnetic damping in defect-free epitaxial Fe3O4 thin films,"We have investigated the magnetic damping of precessional spin dynamics in +defect-controlled epitaxial grown Fe$_3$O$_4$(111)/Yttria-stabilized Zirconia +(YSZ) nanoscale films by all-optical pump-probe measurements. The intrinsic +damping constant of the defect-free Fe$_3$O$_4$ film is found to be strikingly +larger than that of the as-grown Fe$_3$O$_4$ film with structural defects. We +demonstrate that the population of the first-order perpendicular standing spin +wave (PSSW) mode, which is exclusively observed in the defect-free film under +sufficiently high external magnetic fields, leads to the enhancement of the +magnetic damping of the uniform precession (Kittel) mode. We propose a physical +picture in which the PSSW mode acts as an additional channel for the extra +energy dissipation of the Kittel mode. The energy transfer from Kittel mode to +PSSW mode increases as in-plane magnetization precession becomes more uniform, +resulting in the unique intrinsic magnetic damping enhancement in the +defect-free Fe$_3$O$_4$ film.",1710.10938v2 +2022-06-08,Motion control with optimal nonlinear damping: from theory to experiment,"Optimal nonlinear damping control was recently introduced for the +second-order SISO systems, showing some advantages over a classical PD feedback +controller. This paper summarizes the main theoretical developments and +properties of the optimal nonlinear damping controller and demonstrates, for +the first time, its practical experimental evaluation. An extended analysis and +application to more realistic (than solely the double-integrator) motion +systems are also given in the theoretical part of the paper. As comparative +linear feedback controller, a PD one is taken, with the single tunable gain and +direct compensation of the plant time constant. The second, namely +experimental, part of the paper includes the voice-coil drive system with +relatively high level of the process and measurement noise, for which the +standard linear model is first identified in frequency domain. The linear +approximation by two-parameters model forms the basis for designing the PD +reference controller, which fixed feedback gain is the same as for the optimal +nonlinear damping control. A robust sliding-mode based differentiator is used +in both controllers for a reliable velocity estimation required for the +feedback. The reference PD and the proposed optimal nonlinear damping +controller, both with the same single design parameter, are compared +experimentally with respect to trajectory tracking and disturbance rejection.",2206.03802v2 +2023-07-12,Exponential stability of damped Euler-Bernoulli beam controlled by boundary springs and dampers,"In this paper, the vibration model of an elastic beam, governed by the damped +Euler-Bernoulli equation +$\rho(x)u_{tt}+\mu(x)u_{t}$$+\left(r(x)u_{xx}\right)_{xx}=0$, subject to the +clamped boundary conditions $u(0,t)=u_x(0,t)=0$ at $x=0$, and the boundary +conditions $\left(-r(x)u_{xx}\right)_{x=\ell}=k_r u_x(\ell,t)+k_a +u_{xt}(\ell,t)$, $\left(-\left(r(x)u_{xx}\right)_{x}\right )_{x=\ell}$$=- k_d +u(\ell,t)-k_v u_{t}(\ell,t)$ at $x=\ell$, is analyzed. The boundary conditions +at $x=\ell$ correspond to linear combinations of damping moments caused by +rotation and angular velocity and also, of forces caused by displacement and +velocity, respectively. The system stability analysis based on well-known +Lyapunov approach is developed. Under the natural assumptions guaranteeing the +existence of a regular weak solution, uniform exponential decay estimate for +the energy of the system is derived. The decay rate constant in this estimate +depends only on the physical and geometric parameters of the beam, including +the viscous external damping coefficient $\mu(x) \ge 0$, and the boundary +springs $k_r,k_d \ge 0$ and dampers $k_a,k_v \ge 0$. Some numerical examples +are given to illustrate the role of the damping coefficient and the boundary +dampers.",2307.06170v2 +2019-03-07,"Uniaxial anisotropy, intrinsic and extrinsic damping in Co$_{2}$FeSi Heusler alloy thin films","Ferromagnetic resonance (FMR) technique has been used to study the +magnetization relaxation processes and magnetic anisotropy in two different +series of the Co2FeSi (CFS) Heusler alloy thin films, deposited on the Si(111) +substrate by UHV sputtering. While the CFS films of fixed (50 nm) thickness, +deposited at different substrate temperatures (TS) ranging from room +temperature (RT) to 600^C, constitute the series-I, the CFS films with +thickness t varying from 12 nm to 100 nm and deposited at 550^C make up the +series-II. In series-I, the CFS films deposited at TS = RT and 200^C are +completely amorphous, the one at TS = 300^C is partially crystalline, and those +at TS equal 450^C, 550^C and 600^C are completely crystalline with B2 order. By +contrast, all the CFS films in series-II are in the fully-developed B2 +crystalline state. Irrespective of the strength of disorder and film thickness, +angular variation of the resonance field in the film plane unambiguously +establishes the presence of global in-plane uniaxial anisotropy. Angular +variation of the linewidth in the film plane reveals that, in the CFS thin +films of varying thickness, a crossover from the in-plane local four-fold +symmetry (cubic anisotropy) to local two-fold symmetry (uniaxial anisotropy) +occurs as t exceeds 50 nm. Gilbert damping parameter {\alpha} decreases +monotonously from 0.047 to 0.0078 with decreasing disorder strength (increasing +TS) and jumps from 0.008 for the CFS film with t = 50 nm to 0.024 for the film +with t equal 75 nm. Such variations of {\alpha} with TS and t are understood in +terms of the changes in the total (spin-up and spin-down) density of states at +the Fermi level caused by the disorder and film thickness.",1903.02976v1 +2000-09-06,The Cosmological Evolution of Quasar Damped Lyman-Alpha Systems,"We present results from an efficient, non-traditional survey to discover +damped Lyman-alpha (DLA) absorption-line systems with neutral hydrogen column +densities N(HI)>2x10^{20} atoms cm^{-2} and redshifts z<1.65. Contrary to +previous studies at higher redshift that showed a decrease in the cosmological +mass density of neutral gas in DLA absorbers, Omega_{DLA}, with time, our +results indicate that Omega_{DLA} is consistent with remaining constant from +redshifts z \approx 4 to z \approx 0.5. There is no evidence that Omega_{DLA} +is approaching the value at z=0. Other interesting results from the survey are +also presented.",0009098v1 +2005-06-09,Phantom damping of matter perturbations,"Cosmological scaling solutions are particularly important in solving the +coincidence problem of dark energy. We derive the equations of sub-Hubble +linear matter perturbations for a general scalar-field Lagrangian--including +quintessence, tachyon, dilatonic ghost condensate and k-essence--and solve them +analytically for scaling solutions. We find that matter perturbations are +always damped if a phantom field is coupled to dark matter and identify the +cases in which the gravitational potential is constant. This provides an +interesting possibility to place stringent observational constraints on scaling +dark energy models.",0506222v1 +1995-02-10,The influence of structure disorder on mean atomic momentum fluctuations and a spin-wave spectrum,"The relation between atomic momenta fluctuations and density fluctuations is +obtained in frames of mean-field approximation. Using two-time temperature +Green functions within Tyablikov approximation the equations for spin +excitation energy and damping are obtained. The asymptotics of energy and +damping in the long-wave limit are investigated and the anomalous behaviour of +spin-wave stiffness constant is discussed.",9502042v1 +1999-01-19,Damping of Growth Oscillations,"Computer simulations and scaling theory are used to investigate the damping +of oscillations during epitaxial growth on high-symmetry surfaces. The +crossover from smooth to rough growth takes place after the deposition of +(D/F)^\delta monolayers, where D and F are the surface diffusion constant and +the deposition rate, respectively, and the exponent \delta=2/3 on a +two-dimensional surface. At the transition, layer-by-layer growth becomes +desynchronized on distances larger than a layer coherence length proportional +l^2, where l is a typical distance between two-dimensional islands in the +submonolayer region of growth.",9901178v1 +2000-03-27,Effect of memory and dynamical chaos in long Josephson junctions,"A long Josephson junction in a constant external magnetic field and in the +presence of a dc bias current is investigated. It is shown that the system, +simulated by the sine-Gorgon equation, ""remembers"" a rapidly damping initial +perturbation and final asymptotic states are determined exactly with this +perturbation. Numerical solving of the boundary sine-Gordon problem and +calculations of Lyapunov indices show that this system has a memory even when +it is in a state of dynamical chaos, i.e., dynamical chaos does not destroy +initial information having a character of rapidly damping perturbation.",0003421v1 +2003-09-24,Landau Damping in a 2D Electron Gas with Imposed Quantum Grid,"Dielectric properties of semiconductor substrate with imposed two dimensional +(2D) periodic grid of quantum wires or nanotubes (quantum crossbars, QCB) are +studied. It is shown that a capacitive contact between QCB and semiconductor +substrate does not destroy the Luttinger liquid character of the long wave QCB +excitations. However, the dielectric losses of a substrate surface are +drastically modified due to diffraction processes on the QCB superlattice. +QCB-substrate interaction results in additional Landau damping regions of the +substrate plasmons. Their existence, form and the density of losses are +strongly sensitive to the QCB lattice constant.",0309546v2 +2005-11-05,Ratchet Effect in Magnetization Reversal of Stoner Particles,"A new strategy is proposed aimed at substantially reducing the minimal +magnetization switching field for a Stoner particle. Unlike the normal method +of applying a static magnetic field which must be larger than the magnetic +anisotropy, a much weaker field, proportional to the damping constant in the +weak damping regime, can be used to switch the magnetization from one state to +another if the field is along the motion of the magnetization. The concept is +to constantly supply energy to the particle from the time-dependent magnetic +field to allow the particle to climb over the potential barrier between the +initial and the target states.",0511135v1 +1994-09-12,Fermion damping rate in a hot medium,"In principle every excitation acquires a finite lifetime in a hot system. +This nonzero spectral width is calculated self-consistently for massive +fermions coupled to massless scalar, vector and pseudoscalar bosons. It is +shown that the self-consistent summation of the corresponding Fock diagram for +fermions eliminates all infrared divergences although the bosons are not +screened at all. Our solutions for the fermion damping rate are analytical in +the coupling constant, but not analytical in the temperature parameter around +T=0.",9409280v2 +2004-02-06,Critical Behavior of Damping Rate for Plasmon with Finite Momentum in φ^4 Theory,"Applying thermal renormalization group (TRG) equations to $\phi^4$ theory +with spontaneous breaking symmetry, we investigate the critical behavior of the +damping rate for the plasmons with finite momentum at the symmetry-restoring +phase transition. From the TRG equation the IR cutoff provided by the external +momentum leads to that the momentum-dependent coupling constant stops running +in the critical region. As the result, the critical slowing down phenomenon +reflecting the inherently IR effect doesn't take place at the critical point +for the plasmon with finite external momentum.",0402069v2 +2006-11-26,On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator,"Using the modified Prelle- Singer approach, we point out that explicit time +independent first integrals can be identified for the damped linear harmonic +oscillator in different parameter regimes. Using these constants of motion, an +appropriate Lagrangian and Hamiltonian formalism is developed and the resultant +canonical equations are shown to lead to the standard dynamical description. +Suitable canonical transformations to standard Hamiltonian forms are also +obtained. It is also shown that a possible quantum mechanical description can +be developed either in the coordinate or momentum representations using the +Hamiltonian forms.",0611048v1 +2005-02-10,Modulational instabilities in Josephson oscillations of elongated coupled condensates,"We study the Josephson oscillations of two coupled elongated condensates. +Linearized calculations show that the oscillating mode uniform over the length +of the condensates (uniform Josephson mode) is unstable : modes of non zero +longitudinal momentum grow exponentially. In the limit of strong atom +interactions, we give scaling laws for the instability time constant and +unstable wave vectors. Beyond the linearized approach, numerical calculations +show a damped recurrence behavior : the energy in the Josephson mode presents +damped oscillations. Finally, we derive conditions on the confinement of the +condensates to prevent instabilities.",0502050v3 +2007-10-04,Activation of additional energy dissipation processes in the magnetization dynamics of epitaxial chromium dioxide films,"The precessional magnetization dynamics of a chromium dioxide$(100)$ film is +examined in an all-optical pump-probe setup. The frequency dependence on the +external field is used to extract the uniaxial in-plane anisotropy constant. +The damping shows a strong dependence on the frequency, but also on the laser +pump fluency, which is revealed as an important experiment parameter in this +work: above a certain threshold further channels of energy dissipation open and +the damping increases discontinuously. This behavior might stem from spin-wave +instabilities.",0710.0986v2 +2009-02-03,Freezing of spin dynamics in underdoped cuprates,"The Mori's memory function approach to spin dynamics in doped +antiferromagnetic insulator combined with the assumption of temperature +independent static spin correlations and constant collective mode damping leads +to w/T scaling in a broad range. The theory involving a nonuniversal scaling +parameter is used to analyze recent inelastic neutron scattering results for +underdoped cuprates. Adopting modified damping function also the emerging +central peak in low-doped cuprates at low temperatures can be explained within +the same framework.",0902.0546v1 +2011-04-06,Relativistic magnetic reconnection at X-type neutral points,"Relativistic effects in the oscillatory damping of magnetic disturbances near +two-dimensional X-points are investigated. By taking into account displacement +current, we study new features of extremely magnetized systems, in which the +Alfv\'en velocity is almost the speed of light. The frequencies of the +least-damped mode are calculated using linearized relativistic MHD equations +for wide ranges of the Lundquist number S and the magnetization parameter +$\sigma$. These timescales approach constant values in the large resistive +limit: the oscillation time becomes a few times the light crossing time, +irrespective of $\sigma$, and the decay time is proportional to $\sigma$ and +therefore is longer for a highly magnetized system.",1104.1003v1 +2011-11-08,The entropy of large black holes in loop quantum gravity: A combinatorics/analysis approach,"The issue of a possible damping of the entropy periodicity for large black +holes in Loop Quantum Gravity is highly debated. Using a combinatorics/analysis +approach, we give strong arguments in favor of this damping, at least for +prescriptions where the projection constraint is not fully implemented. This +means that black holes in loop gravity exhibit an asymptotic Bekenstein-Hawking +behavior, provided that a consistent choice of the Immirzi constant is made.",1111.1975v1 +2013-04-04,Pais-Uhlenbeck Oscillator with a Benign Friction Force,"It is shown that the Pais-Uhlenbeck oscillator with damping, considered by +Nesterenko, is a special case of a more general oscillator that has not only a +first order, but also a third order friction term. If the corresponding damping +constants, \alpha\ and \beta, are both positive and below certain critical +values, then the system is stable. In particular, if \alpha = - \beta, then we +have the unstable Nesterenko's oscillator",1304.1325v2 +2014-12-05,Exponential dephasing of oscillators in the Kinetic Kuramoto Model,"We study the kinetic Kuramoto model for coupled oscillators with coupling +constant below the synchronization threshold. We manage to prove that, for any +analytic initial datum, if the interaction is small enough, the order parameter +of the model vanishes exponentially fast, and the solution is asymptotically +described by a free flow. This behavior is similar to the phenomenon of Landau +damping in plasma physics. In the proof we use a combination of techniques from +Landau damping and from abstract Cauchy-Kowalewskaya theorem.",1412.1923v1 +2014-12-23,Selftrapping triggered by losses in cavity QED,"In a coupled cavity QED network model, we study the transition from a +localized super fluid like state to a delocalized Mott insulator like state, +triggered by losses. Without cavity losses, the transition never takes place. +Further, if one measures the quantum correlations between the polaritons via +the negativity, we find a critical cavity damping constant, above which the +negativity displays a single peak in the same time region where the transition +takes place. Additionally, we identify two regions in the parameter space, +where below the critical damping, oscillations of the initial localized state +are observed along with a multipeaked negativity, while above the critical +value, the oscillations die out and the transition is witnessed by a neat +single peaked negativity.",1412.7495v1 +2015-11-19,Periodic damping gives polynomial energy decay,"Let $u$ solve the damped Klein--Gordon equation $$ \big( \partial_t^2-\sum +\partial_{x_j}^2 +m \text{Id} +\gamma(x) \partial_t \big) u=0 $$ on +$\mathbb{R}^n$ with $m>0$ and $\gamma\geq 0$ bounded below on a $2 \pi +\mathbb{Z}^n$-invariant open set by a positive constant. We show that the +energy of the solution $u$ decays at a polynomial rate. This is proved via a +periodic observability estimate on $\mathbb{R}^n.$",1511.06144v5 +2016-07-06,Asymptotic profiles of solutions for structural damped wave equations,"In this paper, we obtain several asymptotic profiles of solutions to the +Cauchy problem for structurally damped wave equations $\partial_{t}^{2} u - +\Delta u + \nu (-\Delta)^{\sigma} \partial_{t} u=0$, where $\nu >0$ and $0< +\sigma \le1$. Our result is the approximation formula of the solution by a +constant multiple of a special function as $t \to \infty$, which states that +the asymptotic profiles of the solutions are classified into $5$ patterns +depending on the values $\nu$ and $\sigma$.",1607.01839v1 +2018-01-19,Robust integral action of port-Hamiltonian systems,"Interconnection and damping assignment, passivity-based control (IDA-PBC) has +proven to be a successful control technique for the stabilisation of many +nonlinear systems. In this paper, we propose a method to robustify a system +which has been stabilised using IDA-PBC with respect to constant, matched +disturbances via the addition of integral action. The proposed controller +extends previous work on the topic by being robust against the damping of the +system, a quantity which may not be known in many applications.",1801.06279v1 +2018-04-10,Motion of a superconducting loop in an inhomogeneous magnetic field: a didactic experiment,"We present an experiment conductive to an understanding of both Faraday's law +and the properties of the superconducting state. It consists in the analysis of +the motion of a superconducting loop moving under the influence of gravity in +an inhomogeneous horizontal magnetic field. Gravity, conservation of magnetic +flux, and friction combine to give damped harmonic oscillations. The measured +frequency of oscillation and the damping constant as a function of the magnetic +field strength (the only free parameter) are in good agreement with the +theoretical model.",1804.03553v1 +2010-04-26,Entanglement of a two-particle Gaussian state interacting with a heat bath,"The effect of a thermal reservoir is investigated on a bipartite Gaussian +state. We derive a pre-Lindblad master equation in the non-rotating wave +approximation for the system. We then solve the master equation for a bipartite +harmonic oscillator Hamiltonian with entangled initial state. We show that for +strong damping the loss of entanglement is the same as for freely evolving +particles. However, if the damping is small, the entanglement is shown to +oscillate and eventually tend to a constant nonzero value.",1004.4515v2 +2019-09-11,Remark on global existence of solutions to the 1D compressible Euler equation with time-dependent damping,"In this paper, we consider the 1D compressible Euler equation with the +damping coefficient $\lambda/(1+t)^{\mu}$. Under the assumption that $0\leq \mu +<1$ and $\lambda >0$ or $\mu=1$ and $\lambda > 2$, we prove that solutions +exist globally in time, if initial data are small $C^1$ perturbation near +constant states. In particular, we remove the conditions on the limit +$\lim_{|x| \rightarrow \infty} (u (0,x), v (0,x))$, assumed in previous +results.",1909.05683v1 +2021-04-12,The pressureless damped Euler-Riesz equations,"In this paper, we analyze the pressureless damped Euler-Riesz equations posed +in either $\mathbb{R}^d$ or $\mathbb{T}^d$. We construct the global-in-time +existence and uniqueness of classical solutions for the system around a +constant background state. We also establish large-time behaviors of classical +solutions showing the solutions towards the equilibrium as time goes to +infinity. For the whole space case, we first show the algebraic decay rate of +solutions under additional assumptions on the initial data compared to the +existence theory. We then refine the argument to have the exponential decay +rate of convergence even in the whole space. In the case of the periodic +domain, without any further regularity assumptions on the initial data, we +provide the exponential convergence of solutions.",2104.05153v1 +2021-05-20,On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity,"In this note, we derive a blow-up result for a semilinear generalized Tricomi +equation with damping and mass terms having time-dependent coefficients. We +consider these coefficients with critical decay rates. Due to this threshold +nature of the time-dependent coefficients (both for the damping and for the +mass), the multiplicative constants appearing in these lower-order terms +strongly influence the value of the critical exponent, determining a +competition between a Fujita-type exponent and a Strauss-type exponent.",2105.09879v2 +2016-06-08,Energy Decay in a Wave Guide with Dissipation at Infinity,"We prove local and global energy decay for the wave equation in a wave guide +with damping at infinity. More precisely, the absorption index is assumed to +converge slowly to a positive constant, and we obtain the diffusive phenomenon +typical for the contribution of low frequencies when the damping is effective +at infinity. On the other hand, the usual Geometric Control Condition is not +necessarily satisfied so we may have a loss of regularity for the contribution +of high frequencies. Since our results are new even in the Euclidean space, we +also state a similar result in this case.",1606.02549v2 +2020-10-18,Classical limit of quantum mechanics for damped driven oscillatory systems: Quantum-classical correspondence,"The investigation of quantum-classical correspondence may lead to gain a +deeper understanding of the classical limit of quantum theory. We develop a +quantum formalism on the basis of a linear-invariant theorem, which gives an +exact quantum-classical correspondence for damped oscillatory systems that are +perturbed by an arbitrary force. Within our formalism, the quantum trajectory +and expectation values of quantum observables are precisely coincide with their +classical counterparts in the case where we remove the global quantum constant +h from their quantum results. In particular, we illustrate the correspondence +of the quantum energy with the classical one in detail.",2010.08971v1 +2020-12-28,An efficient method for approximating resonance curves of weakly-damped nonlinear mechanical systems,"A method is presented for tracing the locus of a specific peak in the +frequency response under variation of a parameter. It is applicable to +periodic, steady-state vibrations of harmonically forced nonlinear mechanical +systems. It operates in the frequency domain and its central idea is to assume +a constant phase lag between forcing and response. The method is validated for +a two-degree-of-freedom oscillator with cubic spring and a bladed disk with +shroud contact. The method provides superior computational efficiency, but is +limited to weakly-damped systems. Finally, the capability to reveal isolated +solution branches is highlighted.",2012.14458v1 +2021-02-04,Global existence results for semi-linear structurally damped wave equations with nonlinear convection,"In this paper, we consider the Cauchy problem for semi-linear wave equations +with structural damping term $\nu (-\Delta)^2 u_t$, where $\nu >0$ is a +constant. As being mentioned in [8,10], the linear principal part brings both +the diffusion phenomenon and the regularity loss of solutions. This implies +that, for the nonlinear problems, the choice of solution spaces plays an +important role to obtain global solutions with sharp decay properties in time. +Our main purpose of this paper is to prove the global (in time) existence of +solutions for the small data and their decay properties for the supercritical +nonlinearities.",2102.02445v2 +2022-04-04,Exponential ergodicity for damping Hamiltonian dynamics with state-dependent and non-local collisions,"In this paper, we investigate the exponential ergodicity in a +Wasserstein-type distance for a damping Hamiltonian dynamics with +state-dependent and non-local collisions, which indeed is a special case of +piecewise deterministic Markov processes while is very popular in numerous +modelling situations including stochastic algorithms. The approach adopted in +this work is based on a combination of the refined basic coupling and the +refined reflection coupling for non-local operators. In a certain sense, the +main result developed in the present paper is a continuation of the counterpart +in \cite{BW2022} on exponential ergodicity of stochastic Hamiltonian systems +with L\'evy noises and a complement of \cite{BA} upon exponential ergodicity +for Andersen dynamics with constant jump rate functions.",2204.01372v1 +2022-06-17,On energy-stable and high order finite element methods for the wave equation in heterogeneous media with perfectly matched layers,"This paper presents a stable finite element approximation for the acoustic +wave equation on second-order form, with perfectly matched layers (PML) at the +boundaries. Energy estimates are derived for varying PML damping for both the +discrete and the continuous case. Moreover, a priori error estimates are +derived for constant PML damping. Most of the analysis is performed in Laplace +space. Numerical experiments in physical space validate the theoretical +results.",2206.08507v1 +2022-12-27,Stabilization of the Kawahara-Kadomtsev-Petviashvili equation with time-delayed feedback,"Results of stabilization for the higher order of the Kadomtsev-Petviashvili +equation are presented in this manuscript. Precisely, we prove with two +different approaches that under the presence of a damping mechanism and an +internal delay term (anti-damping) the solutions of the +Kawahara-Kadomtsev-Petviashvili equation are locally and globally exponentially +stable. The main novelty is that we present the optimal constant, as well as +the minimal time, that ensures that the energy associated with this system goes +to zero exponentially.",2212.13552v1 +2014-10-20,Frequency-dependent attenuation and elasticity in unconsolidated earth materials: effect of damping,"We use the Discrete Element Method (DEM) to understand the underlying +attenuation mechanism in granular media, with special applicability to the +measurements of the so-called effective mass developed earlier. We consider +that the particles interact via Hertz-Mindlin elastic contact forces and that +the damping is describable as a force proportional to the velocity difference +of contacting grains. We determine the behavior of the complex-valued normal +mode frequencies using 1) DEM, 2) direct diagonalization of the relevant +matrix, and 3) a numerical search for the zeros of the relevant determinant. +All three methods are in strong agreement with each other. The real and the +imaginary parts of each normal mode frequency characterize the elastic and the +dissipative properties, respectively, of the granular medium. We demonstrate +that, as the interparticle damping, $\xi$, increases, the normal modes exhibit +nearly circular trajectories in the complex frequency plane and that for a +given value of $\xi$ they all lie on or near a circle of radius $R$ centered on +the point $-iR$ in the complex plane, where $R\propto 1/\xi$. We show that each +normal mode becomes critically damped at a value of the damping parameter $\xi +\approx 1/\omega_n^0$, where $\omega_n^0$ is the (real-valued) frequency when +there is no damping. The strong indication is that these conclusions carry over +to the properties of real granular media whose dissipation is dominated by the +relative motion of contacting grains. For example, compressional or shear waves +in unconsolidated dry sediments can be expected to become overdamped beyond a +critical frequency, depending upon the strength of the intergranular damping +constant.",1410.5484v2 +2004-04-15,Is the slope of the intrinsic Baldwin effect constant?,"We investigate the relationship between emission-line strength and continuum +luminosity in the best-studied nearby Seyfert 1 galaxy NGC5548. Our analysis of +13 years of ground-based optical monitoring data reveals significant +year-to-year variations in the observed H-beta emission-line response in this +source. More specifically, we confirm the result of Gilbert and Peterson (2003) +of a non-linear relationship between the continuum and H-beta emission-line +fluxes. Furthermore, we show that the slope of this relation is not constant, +but rather decreases as the continuum flux increases. Both effects are +consistent with photoionisation model predictions of a luminosity-dependent +response in this line.",0404296v1 +1993-04-01,Wavelet transforms versus Fourier transforms,"This note is a very basic introduction to wavelets. It starts with an +orthogonal basis of piecewise constant functions, constructed by dilation and +translation. The ``wavelet transform'' maps each $f(x)$ to its coefficients +with respect to this basis. The mathematics is simple and the transform is fast +(faster than the Fast Fourier Transform, which we briefly explain), but +approximation by piecewise constants is poor. To improve this first wavelet, we +are led to dilation equations and their unusual solutions. Higher-order +wavelets are constructed, and it is surprisingly quick to compute with them --- +always indirectly and recursively. We comment informally on the contest between +these transforms in signal processing, especially for video and image +compression (including high-definition television). So far the Fourier +Transform --- or its 8 by 8 windowed version, the Discrete Cosine Transform --- +is often chosen. But wavelets are already competitive, and they are ahead for +fingerprints. We present a sample of this developing theory.",9304214v1 +2011-02-14,Computing the Ball Size of Frequency Permutations under Chebyshev Distance,"Let $S_n^\lambda$ be the set of all permutations over the multiset +$\{\overbrace{1,...,1}^{\lambda},...,\overbrace{m,...,m}^\lambda\}$ where +$n=m\lambda$. A frequency permutation array (FPA) of minimum distance $d$ is a +subset of $S_n^\lambda$ in which every two elements have distance at least $d$. +FPAs have many applications related to error correcting codes. In coding +theory, the Gilbert-Varshamov bound and the sphere-packing bound are derived +from the size of balls of certain radii. We propose two efficient algorithms +that compute the ball size of frequency permutations under Chebyshev distance. +Both methods extend previous known results. The first one runs in $O({2d\lambda +\choose d\lambda}^{2.376}\log n)$ time and $O({2d\lambda \choose +d\lambda}^{2})$ space. The second one runs in $O({2d\lambda \choose +d\lambda}{d\lambda+\lambda\choose \lambda}\frac{n}{\lambda})$ time and +$O({2d\lambda \choose d\lambda})$ space. For small constants $\lambda$ and $d$, +both are efficient in time and use constant storage space.",1102.2799v2 +2011-07-02,Energy dissipation and switching delay in spin-transfer torque switching of nanomagnets with low-saturation magnetization in the presence of thermal fluctuations,"A common ploy to reduce the switching current and energy dissipation in +spin-transfer-torque driven magnetization switching of shape-anisotropic +single-domain nanomagnets is to employ magnets with low saturation +magnetization $M_s$ and high shape-anisotropy. The high shape-anisotropy +compensates for low $M_s$ to keep the static switching error rate constant. +However, this ploy increases the switching delay, its variance in the presence +of thermal noise, and the dynamic switching error rate. Using the stochastic +Landau-Lifshitz-Gilbert equation with a random torque emulating thermal noise, +we show that pumping some excess spin-polarized current into the nanomagnet +during switching will keep the mean switching delay and its variance constant +as we reduce $M_s$, while still reducing the energy dissipation significantly.",1107.0387v2 +2015-08-11,Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system,"The existence of global weak solutions to a coupled spin drift-diffusion and +Maxwell-Landau-Lifshitz system is proved. The equations are considered in a +two-dimensional magnetic layer structure and are supplemented with +Dirichlet-Neumann boundary conditions. The spin drift-diffusion model for the +charge density and spin density vector is the diffusion limit of a spinorial +Boltzmann equation for a vanishing spin polarization constant. The +Maxwell-Landau-Lifshitz system consists of the time-dependent Maxwell equations +for the electric and magnetic fields and of the Landau-Lifshitz-Gilbert +equation for the local magnetization, involving the interaction between +magnetization and spin density vector. The existence proof is based on a +regularization procedure, $L^2$-type estimates, and Moser-type iterations which +yield the boundedness of the charge and spin densities. Furthermore, the free +energy is shown to be nonincreasing in time if the magnetization-spin +interaction constant in the Landau-Lifshitz equation is sufficiently small.",1508.02660v1 +2015-08-16,The Computational Power of Beeps,"In this paper, we study the quantity of computational resources (state +machine states and/or probabilistic transition precision) needed to solve +specific problems in a single hop network where nodes communicate using only +beeps. We begin by focusing on randomized leader election. We prove a lower +bound on the states required to solve this problem with a given error bound, +probability precision, and (when relevant) network size lower bound. We then +show the bound tight with a matching upper bound. Noting that our optimal upper +bound is slow, we describe two faster algorithms that trade some state +optimality to gain efficiency. We then turn our attention to more general +classes of problems by proving that once you have enough states to solve leader +election with a given error bound, you have (within constant factors) enough +states to simulate correctly, with this same error bound, a logspace TM with a +constant number of unary input tapes: allowing you to solve a large and +expressive set of problems. These results identify a key simplicity threshold +beyond which useful distributed computation is possible in the beeping model.",1508.03859v1 +2016-05-04,Asymptotic behaviors of Landau-Lifshitz flows from $\Bbb R^2$ to Kähler manifolds,"In this paper, we study the asymptotic behaviors of finite energy solutions +to the Landau-Lifshitz flows from $\Bbb R^2$ into K\""ahler manifolds. First, we +prove that the solution with initial data below the critical energy converges +to a constant map in the energy space as $t\to \infty$ for the compact +Riemannian surface targets. In particular, when the target is a two dimensional +sphere, we prove that the solution to the Landau-Lifshitz-Gilbert equation with +initial data having an energy below $4\pi$ converges to some constant map in +the energy space. Second, for general compact K\""ahler manifolds and initial +data of an arbitrary finite energy, we obtain a bubbling theorem analogous to +the Struwe's results on the heat flows.",1605.01245v2 +2018-07-30,Graphs admitting only constant splines,"We study {\em generalized graph splines,} introduced by Gilbert, Viel, and +the last author. For a large class of rings, we characterize the graphs that +only admit constant splines. To do this, we prove that if a graph has a +particular type of cutset (e.g., a bridge), then the space of splines naturally +decomposes as a certain direct sum of submodules. As an application, we use +these results to describe splines on a triangulation studied by Zhou and Lai, +but over a different ring than they used.",1807.11515v2 +2017-06-11,Local List Recovery of High-rate Tensor Codes and Applications,"In this work, we give the first construction of high-rate locally +list-recoverable codes. List-recovery has been an extremely useful building +block in coding theory, and our motivation is to use these codes as such a +building block. In particular, our construction gives the first +capacity-achieving locally list-decodable codes (over constant-sized alphabet); +the first capacity achieving globally list-decodable codes with nearly linear +time list decoding algorithm (once more, over constant-sized alphabet); and a +randomized construction of binary codes on the Gilbert-Varshamov bound that can +be uniquely decoded in near-linear-time, with higher rate than was previously +known. + Our techniques are actually quite simple, and are inspired by an approach of +Gopalan, Guruswami, and Raghavendra (Siam Journal on Computing, 2011) for +list-decoding tensor codes. We show that tensor powers of (globally) +list-recoverable codes are ""approximately"" locally list-recoverable, and that +the ""approximately"" modifier may be removed by pre-encoding the message with a +suitable locally decodable code. Instantiating this with known constructions of +high-rate globally list-recoverable codes and high-rate locally decodable codes +finishes the construction.",1706.03383v1 +2021-04-06,Diffusion of a magnetic skyrmion in 2-dimensional space,"Two-dimensional magnetic skyrmions are particle-like magnetic domains in +magnetic thin films. The kinetic property of the magnetic skyrmions at finite +temperature is well described by the Thiele equation, including a stochastic +field and a finite mass. In this paper, the validity of the constant-mass +approximation is examined by comparing the Fourier spectrum of Brownian motions +described by the Thiele equation and the Landau-Lifshitz-Gilbert equation. +Then, the 4-dimensional Fokker-Planck equation is derived from the Thiele +equation with a mass-term. Consequently, an expression of the diffusion flow +and diffusion constant in a tensor form is derived, extending Chandrasekhar's +method for Thiele dynamics.",2104.02345v2 +2019-02-13,Dynamics of ferromagnetic domain walls under extreme fields,"We report the existence of a new regime for domain wall motion in uniaxial +and near-uniaxial ferromagnetic nanowires, characterised by applied magnetic +fields sufficiently strong that one of the domains becomes unstable. There +appears a new stable solution of the Landau-Lifshitz-Gilbert equation, +describing a nonplanar domain wall moving with constant velocity and precessing +with constant frequency. Even in the presence of thermal noise, the new +solution can propagate for distances on the order of 500 times the field-free +domain wall width before fluctuations in the unstable domain become +appreciable.",1902.04968v3 +2018-10-29,A Graceful Exit for the Cosmological Constant Damping Scenario,"We present a broad and simple class of scalar-tensor scenarios that +successfully realize dynamical damping of the effective cosmological constant, +therefore providing a viable dynamical solution to the fine-tuning or ""old"" +cosmological constant problem. In contrast to early versions of this approach, +pioneered in the works of A. Dolgov in the 1980es, these do not suffer from +unacceptable variations of Newton's constant, as one aims at a small but +strictly positive (rather than zero) late-time curvature. In our approach, the +original fine-tuning issue is traded for a hierarchy of couplings, and we +further suggest a way to naturally generate this hierarchy based on fermion +condensation and softly broken field shift symmetry.",1810.12336v2 +2018-09-13,Active Damping of a DC Network with a Constant Power Load: An Adaptive Passivity-based Control Approach,"This paper proposes a nonlinear, adaptive controller to increase the +stability margin of a direct-current (DC) small-scale electrical network +containing a constant power load, whose value is unknown. Due to their negative +incremental impedance, constant power loads are known to reduce the effective +damping of a network, leading to voltage oscillations and even to network +collapse. To tackle this problem, we consider the incorporation of a controlled +DC-DC power converter between the feeder and the constant power load. The +design of the control law for the converter is based on the use of standard +Passivity-Based Control and Immersion and Invariance theories. The good +performance of the controller is evaluated with numerical simulations.",1809.04920v1 +2020-10-01,Avoiding coherent errors with rotated concatenated stabilizer codes,"Coherent errors, which arise from collective couplings, are a dominant form +of noise in many realistic quantum systems, and are more damaging than oft +considered stochastic errors. Here, we propose integrating stabilizer codes +with constant-excitation codes by code concatenation. Namely, by concatenating +an $[[n,k,d]]$ stabilizer outer code with dual-rail inner codes, we obtain a +$[[2n,k,d]]$ constant-excitation code immune from coherent phase errors and +also equivalent to a Pauli-rotated stabilizer code. When the stabilizer outer +code is fault-tolerant, the constant-excitation code has a positive +fault-tolerant threshold against stochastic errors. Setting the outer code as a +four-qubit amplitude damping code yields an eight-qubit constant-excitation +code that corrects a single amplitude damping error, and we analyze this code's +potential as a quantum memory.",2010.00538v2 +1995-05-17,GRAVITATIONAL LENSING OF QUASARS BY THEIR DAMPED LYMAN-ALPHA ABSORBERS,"Damped Lyman-alpha absorbers are believed to be associated with galactic +disks. We show that gravitational lensing can therefore affect the statistics +of these systems. First, the magnification bias due to lensing raises faint +QSOs above a given magnitude threshold and thereby enhances the probability for +observing damped absorption systems. Second, the bending of light rays from the +source effectively limits the minimum impact parameter of the line-of-sight +relative to the center of the absorber, thus providing an upper cut-off to the +observed neutral hydrogen (HI) column density. The combination of these effects +yields a pronounced peak in the observed abundance of absorbers with high +column densities (>2*10^{21} cm^{-2}) and low redshifts (z<1). The inferred +value of the cosmological density parameter of neutral hydrogen, Omega_{HI}, +increases with increasing redshift and luminosity of the sources even if the +true HI density remains constant. This trend resembles the observed evolution +of Omega_{HI}(z). Damped Lyman-alpha absorbers with column densities >10^{21} +cm^{-2} and redshifts 0.5 F_{cs}$ (static Peierls stress) there are only stable moving wave +fronts. For piecewise linear models, extending an exact method of Atkinson and +Cabrera's to chains with damped dynamics corroborates this description. For +smooth nonlinearities, an approximate analytical description is found by means +of the active point theory. Generically for small or zero damping, stable wave +front profiles are non-monotone and become wavy (oscillatory) in one of their +tails.",0303576v1 +2003-07-22,Classical dynamics of a nano-mechanical resonator coupled to a single-electron transistor,"We analyze the dynamics of a nano-mechanical resonator coupled to a +single-electron transistor (SET) in the regime where the resonator behaves +classically. A master equation is derived describing the dynamics of the +coupled system which is then used to obtain equations of motion for the average +charge state of the SET and the average position of the resonator. We show that +the action of the SET on the resonator is very similar to that of a thermal +bath, as it leads to a steady-state probability-distribution for the resonator +which can be described by mean values of the resonator position, a renormalized +frequency, an effective temperature and an intrinsic damping constant. +Including the effects of extrinsic damping and finite temperature, we find that +there remain experimentally accessible regimes where the intrinsic damping of +the resonator still dominates its behavior. We also obtain the average current +through the SET as a function of the coupling to the resonator.",0307528v1 +2006-05-16,Collective mode damping and viscosity in a 1D unitary Fermi gas,"We calculate the damping of the Bogoliubov-Anderson mode in a one-dimensional +two-component attractive Fermi gas for arbitrary coupling strength within a +quantum hydrodynamic approach. Using the Bethe-Ansatz solution of the 1D +BCS-BEC crossover problem, we derive analytic results for the viscosity +covering the full range from a Luther-Emery liquid of weakly bound pairs to a +Lieb-Liniger gas of strongly bound bosonic dimers. At the unitarity point, the +system is a Tonks-Girardeau gas with a universal constant $\alpha_{\zeta}=0.38$ +in the viscosity $\zeta=\alpha_{\zeta}\hbar n$ for T=0. For the trapped case, +we calculate the Q-factor of the breathing mode and show that the damping +provides a sensitive measure of temperature in 1D Fermi gases.",0605413v2 +1996-03-14,Dissipation and Topologically Massive Gauge Theories in Pseudoeuclidean Plane,"In the pseudo-euclidean metrics Chern-Simons gauge theory in the infrared +region is found to be associated with dissipative dynamics. In the infrared +limit the Lagrangian of 2+1 dimensional pseudo-euclidean topologically massive +electrodynamics has indeed the same form of the Lagrangian of the damped +harmonic oscillator. On the hyperbolic plane a set of two damped harmonic +oscillators, each other time-reversed, is shown to be equivalent to a single +undamped harmonic oscillator. The equations for the damped oscillators are +proven to be the same as the ones for the Lorentz force acting on two particles +carrying opposite charge in a constant magnetic field and in the electric +harmonic potential. This provides an immediate link with Chern-Simons-like +dynamics of Bloch electrons in solids propagating along the lattice plane with +hyperbolic energy surface. The symplectic structure of the reduced theory is +finally discussed in the Dirac constrained canonical formalism.",9603092v1 +2002-02-12,Landau Damping and Coherent Structures in Narrow-Banded 1+1 Deep Water Gravity Waves,"We study the nonlinear energy transfer around the peak of the spectrum of +surface gravity waves by taking into account nonhomogeneous effects. In the +narrow-banded approximation the kinetic equation resulting from a +nonhomogeneous wave field is a Vlasov-Poisson type equation which includes at +the same time the random version of the Benjamin-Feir instability and the +Landau damping phenomenon. We analytically derive the values of the Phillips' +constant $\alpha$ and the enhancement factor $\gamma$ for which the +narrow-banded approximation of the JONSWAP spectrum is unstable. By performing +numerical simulations of the nonlinear Schr\""{o}dinger equation we check the +validity of the prediction of the related kinetic equation. We find that the +effect of Landau damping is to suppress the formation of coherent structures. +The problem of predicting freak waves is briefly discussed.",0202026v1 +2006-07-31,Nonadiabatic Transitions for a Decaying Two-Level-System: Geometrical and Dynamical Contributions,"We study the Landau-Zener Problem for a decaying two-level-system described +by a non-hermitean Hamiltonian, depending analytically on time. Use of a +super-adiabatic basis allows to calculate the non-adiabatic transition +probability P in the slow-sweep limit, without specifying the Hamiltonian +explicitly. It is found that P consists of a ``dynamical'' and a +``geometrical'' factors. The former is determined by the complex adiabatic +eigenvalues E_(t), only, whereas the latter solely requires the knowledge of +\alpha_(+-)(t), the ratio of the components of each of the adiabatic +eigenstates. Both factors can be split into a universal one, depending only on +the complex level crossing points, and a nonuniversal one, involving the full +time dependence of E_(+-)(t). This general result is applied to the +Akulin-Schleich model where the initial upper level is damped with damping +constant $\gamma$. For analytic power-law sweeps we find that Stueckelberg +oscillations of P exist for gamma smaller than a critical value gamma_c and +disappear for gamma > gamma_c. A physical interpretation of this behavior will +be presented by use of a damped harmonic oscillator.",0607221v1 +2007-06-01,The geometrical quantity in damped wave equations on a square,"The energy in a square membrane $\Omega$ subject to constant viscous damping +on a subset $\omega\subset \Omega$ decays exponentially in time as soon as +$\omega$ satisfies a geometrical condition known as the ""Bardos-Lebeau-Rauch"" +condition. The rate $\tau(\omega)$ of this decay satisfies $\tau(\omega)= 2 +\min(-\mu(\omega), g(\omega))$ (see Lebeau [Math. Phys. Stud. 19 (1996) +73-109]). Here $\mu(\omega)$ denotes the spectral abscissa of the damped wave +equation operator and $g(\omega)$ is a number called the geometrical quantity +of $\omega$ and defined as follows. A ray in $\Omega$ is the trajectory +generated by the free motion of a mass-point in $\Omega$ subject to elastic +reflections on the boundary. These reflections obey the law of geometrical +optics. The geometrical quantity $g(\omega)$ is then defined as the upper limit +(large time asymptotics) of the average trajectory length. We give here an +algorithm to compute explicitly $g(\omega)$ when $\omega$ is a finite union of +squares.",0706.0172v1 +2009-10-14,Constraint on the growth factor of the cosmic structure from the damping of the baryon acoustic oscillation signature,"We determine a constraint on the growth factor by measuring the damping of +the baryon acoustic oscillations in the matter power spectrum using the Sloan +Digital Sky Survey luminous red galaxy sample. The damping of the BAO is +detected at the one sigma level. We obtain \sigma_8D_1(z=0.3) = +0.42^{+0.34}_{-0.28} at the 1\sigma statistical level, where \sigma_8 is the +root mean square overdensity in a sphere of radius 8h^{-1}Mpc and D_1(z) is the +growth factor at redshift z. The above result assumes that other parameters are +fixed and the cosmology is taken to be a spatially flat cold dark matter +universe with the cosmological constant.",0910.2513v1 +2011-02-04,A symmetry trip from Caldirola to Bateman damped systems,"For the Caldirola-Kanai system, describing a quantum damped harmonic +oscillator, a couple of constant-of-motion operators generating the Heisenberg +algebra can be found. The inclusion of the standard time evolution symmetry in +this algebra for damped systems, in a unitary manner, requires a non-trivial +extension of this basic algebra and hence the physical system itself. +Surprisingly, this extension leads directly to the so-called Bateman's dual +system, which now includes a new particle acting as an energy reservoir. The +group of symmetries of the dual system is presented, as well as a quantization +that implies, in particular, a first-order Schr\""odinger equation. The usual +second-order equation and the inclusion of the original Caldirola-Kanai model +in Bateman's system are also discussed.",1102.0990v1 +2011-03-08,Steady states of the parametric rotator and pendulum,"We discuss several steady-state rotation and oscillation modes of the planar +parametric rotator and pendulum with damping. We consider a general elliptic +trajectory of the suspension point for both rotator and pendulum, for the +latter at an arbitrary angle with gravity, with linear and circular +trajectories as particular cases. We treat the damped, non-linear equation of +motion of the parametric rotator and pendulum perturbatively for small +parametric excitation and damping, although our perturbative approach can be +extended to other regimes as well. Our treatment involves only ordinary +second-order differential equations with constant coefficients, and provides +numerically accurate perturbative solutions in terms of elementary functions. +Some of the steady-state rotation and oscillation modes studied here have not +been discussed in the previous literature. Other well-known ones, such as +parametric resonance and the inverted pendulum, are extended to elliptic +parametric excitation tilted with respect to gravity. The results presented +here should be accessible to advanced undergraduates, and of interest to +graduate students and specialists in the field of non-linear mechanics.",1103.1413v1 +2011-06-17,Controlling Excitations Inversion of a Cooper Pair Box Interacting with a Nanomechanical Resonator,"We investigate the action of time dependent detunings upon the excitation +inversion of a Cooper pair box interacting with a nanomechanical resonator. The +method employs the Jaynes-Cummings model with damping, assuming different decay +rates of the Cooper pair box and various fixed and t-dependent detunings. It is +shown that while the presence of damping plus constant detunings destroy the +collapse/revival effects, convenient choices of time dependent detunings allow +one to reconstruct such events in a perfect way. It is also shown that the mean +excitation of the nanomechanical resonator is more robust against damping of +the Cooper pair box for convenient values of t-dependent detunings.",1106.3379v1 +2011-07-24,Traveling kinks in cubic nonlinear Ginzburg-Landau equations,"Nonlinear cubic Euler-Lagrange equations of motion in the traveling variable +are usually derived from Ginzburg-Landau free energy functionals frequently +encountered in several fields of physics. Many authors considered in the past +damped versions of such equations with the damping term added by hand +simulating the friction due to the environment. It is known that even in this +damped case kink solutions can exist. By means of a factorization method, we +provide analytic formulas for several possible kink solutions of such equations +of motion in the undriven and constant field driven cases, including the +recently introduced Riccati parameter kinks which were not considered +previously in such a context. The latter parameter controls the delay of the +switching stage of the kinks",1107.4773v4 +2011-12-02,An energy-based computational method in the analysis of the transmission of energy in a chain of coupled oscillators,"In this paper we study the phenomenon of nonlinear supratransmission in a +semi-infinite discrete chain of coupled oscillators described by modified +sine-Gordon equations with constant external and internal damping, and subject +to harmonic external driving at the end. We develop a consistent and +conditionally stable finite-difference scheme in order to analyze the effect of +damping in the amount of energy injected in the chain of oscillators; numerical +bifurcation analyses to determine the dependence of the amplitude at which +supratransmission first occurs with respect to the frequency of the driving +oscillator are carried out in order to show the consequences of damping on +harmonic phonon quenching and the delay of appearance of critical amplitude.",1112.0581v1 +2014-08-25,Spin-Scattering Rates in Metallic Thin Films Measured by Ferromagnetic Resonance Damping Enhanced by Spin-Pumping,"We determined the spin-transport properties of Pd and Pt thin films by +measuring the increase in ferromagnetic resonance damping due to spin-pumping +in ferromagnetic (FM)-nonferromagnetic metal (NM) multilayers with varying NM +thicknesses. The increase in damping with NM thickness depends strongly on both +the spin- and charge-transport properties of the NM, as modeled by diffusion +equations that include both momentum- and spin-scattering parameters. We use +the analytical solution to the spin-diffusion equations to obtain +spin-diffusion lengths for Pt and Pd. By measuring the dependence of +conductivity on NM thickness, we correlate the charge- and spin-transport +parameters, and validate the applicability of various models for +momentum-scattering and spin-scattering rates in these systems: constant, +inverse-proportional (Dyakanov-Perel), and linear-proportional (Elliot-Yafet). +We confirm previous reports that the spin-scattering time can be shorter than +the momentum scattering time in Pt, and the Dyakanov-Perel-like model is the +best fit to the data.",1408.5921v2 +2015-04-09,"Periodic-coefficient damping estimates, and stability of large-amplitude roll waves in inclined thin film flow","A technical obstruction preventing the conclusion of nonlinear stability of +large-Froude number roll waves of the St. Venant equations for inclined thin +film flow is the ""slope condition"" of Johnson-Noble-Zumbrun, used to obtain +pointwise symmetrizability of the linearized equations and thereby +high-frequency resolvent bounds and a crucial H s nonlinear damping estimate. +Numerically, this condition is seen to hold for Froude numbers 2 \textless{} F +3.5, but to fail for 3.5 F. As hydraulic engineering applications typically +involve Froude number 3 F 5, this issue is indeed relevant to practical +considerations. Here, we show that the pointwise slope condition can be +replaced by an averaged version which holds always, thereby completing the +nonlinear theory in the large-F case. The analysis has potentially larger +interest as an extension to the periodic case of a type of weighted +""Kawashima-type"" damping estimate introduced in the asymptotically-constant +coefficient case for the study of stability of large-amplitude viscous shock +waves.",1504.02292v1 +2015-05-08,Existence and general stabilization of the Timoshenko system with a thermo-viscoelastic damping and a delay term in the internal feedback,"In this paper, we consider a Timoshenko system with a thermo-viscoelastic +damping and a delay term in the internal feedback together with initial datum +and boundary conditions of Dirichlet type, where g is a positive non-increasing +relaxation function and {\mu}1, {\mu}2 are positive constants. Under an +hypothesis between the weight of the delay term in the feedback and the the +weight of the friction damping term, using the Faedo-Galerkin approximations +together with some energy estimates, we prove the global existence of the +solutions. Then, by introducing appropriate Lyapunov functionals, under the +imposed constrain on the weights of the two feedbacks and the coefficients, we +establish the general energy decay result from which the exponential and +polynomial types of decay are only special cases.",1505.01899v1 +2016-05-26,Thickness and temperature dependence of the magnetodynamic damping of pulsed laser deposited $\text{La}_{0.7}\text{Sr}_{0.3}\text{MnO}_3$ on (111)-oriented SrTi$\text{O}_3$,"We have investigated the magnetodynamic properties of +$\text{La}_{0.7}\text{Sr}_{0.3}\text{MnO}_3$ (LSMO) films of thickness 10, 15 +and 30 nm grown on (111)-oriented SrTi$\text{O}_3$ (STO) substrates by pulsed +laser deposition. Ferromagnetic resonance (FMR) experiments were performed in +the temperature range 100--300 K, and the magnetodynamic damping parameter +$\alpha$ was extracted as a function of both film thickness and temperature. We +found that the damping is lowest for the intermediate film thickness of 15 nm +with $\alpha \approx 2 \cdot 10^{-3}$, where $\alpha$ is relatively constant as +a function of temperature well below the Curie temperature of the respective +films.",1605.08195v2 +2017-08-30,Convergence to diffusion waves for solutions of Euler equations with time-depending damping on quadrant,"This paper is concerned with the asymptotic behavior of the solution to the +Euler equations with time-depending damping on quadrant $(x,t)\in +\mathbb{R}^+\times\mathbb{R}^+$, \begin{equation}\notag \partial_t v + - + \partial_x u=0, \qquad \partial_t u + + + \partial_x p(v) + =\displaystyle + -\frac{\alpha}{(1+t)^\lambda} u, \end{equation} with null-Dirichlet boundary +condition or null-Neumann boundary condition on $u$. We show that the +corresponding initial-boundary value problem admits a unique global smooth +solution which tends time-asymptotically to the nonlinear diffusion wave. +Compared with the previous work about Euler equations with constant coefficient +damping, studied by Nishihara and Yang (1999, J. Differential Equations, 156, +439-458), and Jiang and Zhu (2009, Discrete Contin. Dyn. Syst., 23, 887-918), +we obtain a general result when the initial perturbation belongs to the same +space. In addition, our main novelty lies in the facts that the cut-off points +of the convergence rates are different from our previous result about the +Cauchy problem. Our proof is based on the classical energy method and the +analyses of the nonlinear diffusion wave.",1708.09127v1 +2017-11-01,Tunable magnetization relaxation of Fe_{2}Cr_{1-x}Co_{x}Si half-metallic Heusler alloys by band structure engineering,"We report a systematic investigation on the magnetization relaxation +properties of iron-based half-metallic Heusler alloy +Fe$_{2}$Cr$_{1-x}$Co_${x}$Si (FCCS) thin films using broadband angular-resolved +ferromagnetic resonance. Band structure engineering through Co doping (x) +demonstrated by first-principles calculations is shown to tune the intrinsic +magnetic damping over an order of magnitude, namely 0.01-0.0008. Notably, the +intrinsic damping constants for samples with high Co concentration are among +the lowest reported for Heusler alloys and even comparable to magnetic +insulator yttrium iron garnet. Furthermore, a significant reduction of both +isotropic and anisotropic contributions of extrinsic damping of the FCCS alloys +was found in the FCCS films with x=0.5-0.75, which is of particular importance +for applications. These results demonstrate a practical recipe to tailor +functional magnetization for Heusler alloy-based spintronics at room +temperature",1711.00406v1 +2018-01-23,The effect of liquid on the vibrational intensity of a wineglass at steady state resonance,"As a liquid is inserted into a wineglass, the natural frequency of the +wineglass decreases. This phenomenon, known as pitch lowering, is well +explained in past papers. However, previous literature have not yet mentioned +that pitch lowering also reduces the resonance intensity of a wineglass. Thus, +this present paper aims to extend the body of research on this topic by +describing the relationship between pitch lowering and its effect on resonation +intensity. To do so, we identify the vibrating wineglass wall as a damped +harmonic oscillator, derive a theoretical model, and find that the resonance +intensity of the wineglass is proportional to the square of its natural +frequency, under the assumption that damping stays constant. However, our +experiments showed the coefficient of damping to increase with respect to the +amount of liquid, which caused the data to deviate from its theoretical +predictions. We conclude by discussing the accuracy and limitation of our +proposed model.",1801.07514v5 +2018-04-11,A global existence result for a semilinear wave equation with scale-invariant damping and mass in even space dimension,"In the present article a semilinear wave equation with scale-invariant +damping and mass is considered. The global (in time) existence of radial +symmetric solutions in even spatial dimension $n$ is proved using weighted +$L^\infty-L^\infty$ estimates, under the assumption that the multiplicative +constants, which appear in the coefficients of damping and of mass terms, +fulfill an interplay condition which yields somehow a ""wave-like"" model. In +particular, combining this existence result with a recently proved blow-up +result, a suitable shift of Strauss exponent is proved to be the critical +exponent for the considered model. Moreover, the still open part of a +conjecture done by D'Abbicco - Lucente - Reissig is proved to be true in the +massless case.",1804.03978v1 +2018-12-21,"Reply to the Comment on ""Negative Landau damping in bilayer graphene""","Here we address the concerns of Svintsov and Ryzhii [arXiv:1812.03764] on our +article on negative Landau damping in graphene [Phys. Rev. Lett. 119, 133901 +(2017)]. We prove that due to the differences between the kinetic and canonical +momenta, the conductivity of drift-current biased graphene is ruled by a +Galilean transformation when the electron-electron interactions predominate and +force the electron gas to move with constant velocity, similar to a moving +medium. Furthermore, it is shown that the nonlocal effects in graphene neither +preclude a negative Landau damping nor the emergence of instabilities in +graphene platforms.",1812.09103v3 +2018-12-30,"Smooth, Time-invariant Regulation of Nonholonomic Systems via Energy Pumping-and-Damping","In this paper we propose an energy pumping-and-damping technique to regulate +nonholonomic systems described by kinematic models. The controller design +follows the widely popular interconnection and damping assignment +passivity-based methodology, with the free matrices partially structured. Two +asymptotic regulation objectives are considered: drive to zero the state or +drive the systems total energy to a desired constant value. In both cases, the +control laws are smooth, time-invariant, state-feedbacks. For the nonholonomic +integrator we give an almost global solution for both problems, with the +objectives ensured for all system initial conditions starting outside a set +that has zero Lebesgue measure and is nowhere dense. For the general case of +higher-order nonholonomic systems in chained form, a local stability result is +given. Simulation results comparing the performance of the proposed controller +with other existing designs are also provided.",1812.11538v2 +2017-03-28,Singularity formation for the 1D compressible Euler equation with variable damping coefficient,"In this paper, we consider some blow-up problems for the 1D Euler equation +with time and space dependent damping. We investigate sufficient conditions on +initial data and the rate of spatial or time-like decay of the coefficient of +damping for the occurrence of the finite time blow-up. In particular, our +sufficient conditions ensure that the derivative blow-up occurs in finite time +with the solution itself and the pressure bounded. Our method is based on +simple estimates with Riemann invariants. Furthermore, we give sharp lower and +upper estimates of the lifespan of solutions, when initial data are small +perturbations of constant states.",1703.09821v3 +2020-03-25,Sharp ultimate velocity bounds for the general solution of some linear second order evolution equation with damping and bounded forcing,"We consider a class of linear second order differential equations with +damping and external force. We investigate the link between a uniform bound on +the forcing term and the corresponding ultimate bound on the velocity of +solutions, and we study the dependence of that bound on the damping and on the +""elastic force"". + We prove three results. First of all, in a rather general setting we show +that different notions of bound are actually equivalent. Then we compute the +optimal constants in the scalar case. Finally, we extend the results of the +scalar case to abstract dissipative wave-type equations in Hilbert spaces. In +that setting we obtain rather sharp estimates that are quite different from the +scalar case, in both finite and infinite dimensional frameworks. + The abstract theory applies, in particular, to dissipative wave, plate and +beam equations.",2003.11579v1 +2020-08-18,"Survey of 360$^{\circ}$ domain walls in magnetic heterostructures: topology, chirality and current-driven dynamics","Chirality and current-driven dynamics of topologically nontrivial +360$^{\circ}$ domain walls (360DWs) in magnetic heterostructures (MHs) are +systematically investigated. For MHs with normal substrates, the static 360DWs +are N\'{e}el-type with no chirality. While for those with heavy-metal +substrates, the interfacial Dzyaloshinskii-Moriya interaction (iDMI) therein +makes 360DWs prefer specific chirality. Under in-plane driving charge currents, +as the direct result of ""full-circle"" topology a certain 360DW does not undergo +the ""Walker breakdown""-type process like a well-studied 180$^{\circ}$ domain +wall as the current density increases. Alternatively, it keeps a fixed +propagating mode (either steady-flow or precessional-flow, depending on the +effective damping constant of the MH) until it collapses or changes to other +types of solition when the current density becomes too high. Similarly, the +field-like spin-orbit torque (SOT) has no effects on the dynamics of 360DWs, +while the anti-damping SOT has. For both modes, modifications to the mobility +of 360DWs by iDMI and anti-damping SOT are provided.",2008.08196v1 +2019-05-20,Quantum parameter-estimation of frequency and damping of a harmonic-oscillator,"We determine the quantum Cram\'er-Rao bound for the precision with which the +oscillator frequency and damping constant of a damped quantum harmonic +oscillator in an arbitrary Gaussian state can be estimated. This goes beyond +standard quantum parameter estimation of a single mode Gaussian state for which +typically a mode of fixed frequency is assumed. We present a scheme through +which the frequency estimation can nevertheless be based on the known results +for single-mode quantum parameter estimation with Gaussian states. Based on +these results, we investigate the optimal measurement time. For measuring the +oscillator frequency, our results unify previously known partial results and +constitute an explicit solution for a general single-mode Gaussian state. +Furthermore, we show that with existing carbon nanotube resonators (see J. +Chaste et al.~Nature Nanotechnology 7, 301 (2012)) it should be possible to +achieve a mass sensitivity of the order of an electron mass $\text{Hz}^{-1/2}$.",1905.08288v1 +2021-11-26,Transition from order to chaos in reduced quantum dynamics,"We study a damped kicked top dynamics of a large number of qubits ($N +\rightarrow \infty$) and focus on an evolution of a reduced single-qubit +subsystem. Each subsystem is subjected to the amplitude damping channel +controlled by the damping constant $r\in [0,1]$, which plays the role of the +single control parameter. In the parameter range for which the classical +dynamics is chaotic, while varying $r$ we find the universal period-doubling +behavior characteristic to one-dimensional maps: period-two dynamics starts at +$r_1 \approx 0.3181$, while the next bifurcation occurs at $ r_2 \approx +0.5387$. In parallel with period-four oscillations observed for $r \leq r_3 +\approx 0.5672$, we identify a secondary bifurcation diagram around $r\approx +0.544$, responsible for a small-scale chaotic dynamics inside the attractor. +The doubling of the principal bifurcation tree continues until $r \leq +r_{\infty} \sim 0.578$, which marks the onset of the full scale chaos +interrupted by the windows of the oscillatory dynamics corresponding to the +Sharkovsky order.",2111.13477v1 +2022-01-12,Local Well-Posedness of the Gravity-Capillary Water Waves System in the Presence of Geometry and Damping,"We consider the gravity-capillary water waves problem in a domain $\Omega_t +\subset \mathbb{T} \times \mathbb{R}$ with substantial geometric features. +Namely, we consider a variable bottom, smooth obstacles in the flow and a +constant background current. We utilize a vortex sheet model introduced by +Ambrose, et. al. in arXiv:2108.01786. We show that the water waves problem is +locally-in-time well-posed in this geometric setting and study the lifespan of +solutions. We then add a damping term and derive evolution equations that +account for the damper. Ultimately, we show that the same well-posedness and +lifespan results apply to the damped system. We primarily utilize energy +methods.",2201.04713v2 +2023-05-09,Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain,"Lifespan estimates for semilinear damped wave equations of the form +$\partial_t^2u-\Delta u+\partial_tu=|u|^p$ in a two dimensional exterior domain +endowed with the Dirichlet boundary condition are dealt with. For the critical +case of the semilinear heat equation $\partial_tv-\Delta v=v^2$ with the +Dirichlet boundary condition and the initial condition $v(0)=\varepsilon f$, +the corresponding lifespan can be estimated from below and above by +$\exp(\exp(C\varepsilon^{-1}))$ with different constants $C$. This paper +clarifies that the same estimates hold even for the critical semilinear damped +wave equation in the exterior of the unit ball under the restriction of radial +symmetry. To achieve this result, a new technique to control $L^1$-type norm +and a new Gagliardo--Nirenberg type estimate with logarithmic weight are +introduced.",2305.05124v1 +2023-09-25,Linearly implicit exponential integrators for damped Hamiltonian PDEs,"Structure-preserving linearly implicit exponential integrators are +constructed for Hamiltonian partial differential equations with linear constant +damping. Linearly implicit integrators are derived by polarizing the polynomial +terms of the Hamiltonian function and portioning out the nonlinearly of +consecutive time steps. They require only a solution of one linear system at +each time step. Therefore they are computationally more advantageous than +implicit integrators. We also construct an exponential version of the +well-known one-step Kahan's method by polarizing the quadratic vector field. +These integrators are applied to one-dimensional damped Burger's, +Korteweg-de-Vries, and nonlinear Schr{\""o}dinger equations. Preservation of the +dissipation rate of linear and quadratic conformal invariants and the +Hamiltonian is illustrated by numerical experiments.",2309.14184v2 +2024-03-10,Linear-in-temperature resistivity and Planckian dissipation arise in a stochastic quantization model of Cooper pairs,"We suppose that a Cooper pair (CP) will experience a damping force exerted by +the condensed matter. A Langevin equation of a CP in two dimensional condensed +matter is established. Following a method similar to Nelson's stochastic +mechanics, generalized Schr\""{o}dinger equation of a CP in condensed matter is +derived. If the CPs move with a constant velocity, then the corresponding +direct current (DC) electrical conductivity can be calculated. Therefore, a +Drude like formula of resistivity of CPs is derived. We suppose that the +damping coefficient of CPs in two dimensional cuprate superconductors is a +linear function of temperature. Then the resistivity and scattering rate of CPs +turn out to be also linear-in-temperature. The origin of linear-in-temperature +resistivity and Planckian dissipation in cuprate superconductors may be the +linear temperature dependence of the damping coefficient of CPs.",2403.09710v1 +2019-11-05,Observation of Nanoscale Opto-Mechanical Molecular Damping; Origin of Spectroscopic Contrast in Photo Induced Force Microscopy,"We experimentally investigated the contrast mechanism of infrared +photoinduced force microscopy (PiFM) for recording vibrational resonances. +Extensive experiments have demonstrated that spectroscopic contrast in PiFM is +mediated by opto-mechanical damping of the cantilever oscillation as the +optical wavelength is scanned through optical resonance. To our knowledge, this +is the first time opto-mechanical damping has been observed in the AFM. We +hypothesize that this damping force is a consequence of the dissipative +interaction between the sample and the vibrating tip; the modulated light +source in PiFM modulates the effective damping constant of the 2nd eigenmode of +the cantilever which in turn generate side-band signals producing the PiFM +signal at the 1st eigenmode. A series of experiments have eliminated other +mechanisms of contrast. By tracking the frequency shift of the PiFM signal at +the 1st cantilever eigenmode as the excitation wavenumber is tuned through a +mid-infrared absorption band, we showed that the near-field optical interaction +is attractive. By using a vibrating piezoelectric crystal to mimic sample +thermal expansion in a PiFM operating in mixing mode, we determined that the +minimum thermal expansion our system can detect is 30 pm limited by system +noise. We have confirmed that van der Waal mediated thermal-expansion forces +have negligible effect on PiFM signals by detecting the resonant response of a +4-methylbenzenethiol mono molecular layer deposited on template-stripped gold, +where thermal expansion was expected to be < 3 pm, i.e., 10 times lower than +our system noise level. Finally, the basic theory for dissipative tip-sample +interactions was introduced to model the photoinduced opto-mechanical damping. +Theoretical simulations are in excellent agreement with experiment.",1911.05190v1 +2024-03-28,Constants of Motion for Conserved and Non-conserved Dynamics,"This paper begins with a dynamical model that was obtained by applying a +machine learning technique (FJet) to time-series data; this dynamical model is +then analyzed with Lie symmetry techniques to obtain constants of motion. This +analysis is performed on both the conserved and non-conserved cases of the 1D +and 2D harmonic oscillators. For the 1D oscillator, constants are found in the +cases where the system is underdamped, overdamped, and critically damped. The +novel existence of such a constant for a non-conserved model is interpreted as +a manifestation of the conservation of energy of the {\em total} system (i.e., +oscillator plus dissipative environment). For the 2D oscillator, constants are +found for the isotropic and anisotropic cases, including when the frequencies +are incommensurate; it is also generalized to arbitrary dimensions. In +addition, a constant is identified which generalizes angular momentum for all +ratios of the frequencies. The approach presented here can produce {\em +multiple} constants of motion from a {\em single}, generic data set.",2403.19418v1 +2003-06-30,Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces,"We study the boundedness problem for maximal operators in 3-dimensional +Euclidean space associated to hypersurfaces given as the graph of $c+f$, where +$f$ is a mixed homogeneous function which is smooth away from the origin and +$c$ is a constant. Our result generalizes a corresponding theorem on mixed +homogeneous polynomial functions by A. Iosevich and E. Sawyer.",0306429v1 +2005-07-26,On simulations of the classical harmonic oscillator equation by difference equations,"We show that any second order linear ordinary diffrential equation with +constant coefficients (including the damped and undumped harmonic oscillator +equation) admits an exact discretization, i.e., there exists a difference +equation whose solutions exactly coincide with solutions of the corresponding +differential equation evaluated at a discrete sequence of points (a lattice). +Such exact discretization is found for an arbitrary lattice spacing.",0507182v1 +2015-11-12,Global weak solutions to 3D compressible Navier-Stokes-Poisson equations with density-dependent viscosity,"Global-in-time weak solutions to the Compressible Navier-Stokes-Poisson +equations in a three-dimensional torus for large data are considered in this +paper. The system takes into account density-dependent viscosity and +non-monotone presseur. We prove the existence of global weak solutions to NSP +equations with damping term by using the Faedo-Galerkin method and the +compactness arguments on the condition that the adiabatic constant satisfies +$\gamma>\frac{4}{3}$.",1511.03841v1 +2017-09-24,Exceptional points in two simple textbook examples,"We propose to introduce the concept of exceptional points in intermediate +courses on mathematics and classical mechanics by means of simple textbook +examples. The first one is an ordinary second-order differential equation with +constant coefficients. The second one is the well known damped harmonic +oscillator. They enable one to connect the occurrence of linearly dependent +exponential solutions with a defective matrix that cannot be diagonalized but +can be transformed into a Jordan canonical form.",1710.00067v1 +2012-09-08,Evidence for anisotropic polar nanoregions in relaxor PMN: A neutron study of the elastic constants and anomalous TA phonon damping,"We use neutron scattering to characterize the acoustic phonons in the relaxor +PMN and demonstrate the presence of an anisotropic damping mechanism directly +related to short-range, polar correlations. For a large range of temperatures +above Tc ~ 210, K, where dynamic polar correlations exist, acoustic phonons +propagating along [1\bar{1}0] and polarized along [110] (TA2 phonons) are +overdamped and softened across most of the Brillouin zone. By contrast, +acoustic phonons propagating along [100] and polarized along [001] (TA1 +phonons) are overdamped and softened for only a limited range of wavevectors. +The anisotropy and temperature dependence of the acoustic phonon energy +linewidth are directly correlated with the elastic diffuse scattering, +indicating that polar nanoregions are the cause of the anomalous behavior. The +damping and softening vanish for q -> 0, i.e. for long-wavelength acoustic +phonons, which supports the notion that the anomalous damping is a result of +the coupling between the relaxational component of the diffuse scattering and +the harmonic TA phonons. Therefore, these effects are not due to large changes +in the elastic constants with temperature because the elastic constants +correspond to the long-wavelength limit. We compare the elastic constants we +measure to those from Brillouin scattering and to values reported for pure PT. +We show that while the values of C44 are quite similar, those for C11 and C12 +are significantly less in PMN and result in a softening of (C11-C12) over PT. +There is also an increased elastic anisotropy (2C44/(C11-C12)) versus that in +PT. These results suggest an instability to TA2 acoustic fluctuations in +relaxors. We discuss our results in the context of the debate over the +""waterfall"" effect and show that they are inconsistent with TA-TO phonon +coupling or other models that invoke the presence of a second optic mode.",1209.1736v1 +2015-12-03,Lieb-Thirring inequalities on the torus,"We consider the Lieb-Thirring inequalities on the d-dimensional torus with +arbitrary periods. In the space of functions with zero average with respect to +the shortest coordinate we prove the Lieb-Thirring inequalities for the +$\gamma$-moments of the negative eigenvalues with constants independent of +ratio of the periods. Applications to the attractors of the damped +Navier-Stokes system are given.",1512.01160v1 +2021-07-21,"Convergence rates for the Heavy-Ball continuous dynamics for non-convex optimization, under Polyak-Łojasiewicz condition","We study convergence of the trajectories of the Heavy Ball dynamical system, +with constant damping coefficient, in the framework of convex and non-convex +smooth optimization. By using the Polyak-{\L}ojasiewicz condition, we derive +new linear convergence rates for the associated trajectory, in terms of +objective function values, without assuming uniqueness of the minimizer.",2107.10123v2 +2022-05-06,Quaternion-based attitude stabilization via discrete-time IDA-PBC,"In this paper, we propose a new sampled-data controller for stabilization of +the attitude dynamics at a desired constant configuration. The design is based +on discrete-time interconnection and damping assignment (IDA) passivity-based +control (PBC) and the recently proposed Hamiltonian representation of +discrete-time nonlinear dynamics. Approximate solutions are provided with +simulations illustrating performances.",2205.03086v1 +2024-04-03,"Comment on ""Machine learning conservation laws from differential equations""","In lieu of abstract, first paragraph reads: Six months after the author +derived a constant of motion for a 1D damped harmonic oscillator [1], a similar +result appeared by Liu, Madhavan, and Tegmark [2, 3], without citing the +author. However, their derivation contained six serious errors, causing both +their method and result to be incorrect. In this Comment, those errors are +reviewed.",2404.02896v1 +1994-05-31,The Behavior of a Spherical Hole in an Infinite Uniform Universe,"In this paper, the behavior of a spherical hole in an otherwise infinite and +uniform universe is investigated. First, the Newtonian theory is developed. The +concept of negative gravity, an outward gravitational force acting away from +the center of the spherical hole, is presented, and the resulting expansion of +the hole is investigated. Then, the same result is derived using the techniques +of Einstein's theory of general relativity. The field equations are solved for +an infinite uniform universe and then for an infinite universe in which matter +is uniformly distributed except for a spherical hole. Negative pressure caused +by negative gravity is utilized. The physical significance of the cosmological +constant is explained, and a new physical concept, that of the gravitational +potential of a hole, is discussed. The relationship between the Newtonian +potential for a hole and the Schwarzschild solution of the field equations is +explored. Finally, the geodesic equations are considered. It is shown that +photons and particles are deflected away from the hole. An application of this +idea is pursued, in which a new cosmology based upon expanding holes in a +uniform universe is developed. The microwave background radiation and Hubble's +Law, among others, are explained. Finally, current astronomical data are used +to compute a remarkably accurate value of Hubble's constant, as well as +estimates of the average mass density of the universe and the cosmological +constant.",9405075v1 +2012-02-21,Making Evildoers Pay: Resource-Competitive Broadcast in Sensor Networks,"Consider a time-slotted, single-hop, wireless sensor network (WSN) consisting +of n correct devices and and t=f*n Byzantine devices where f>=0 is any +constant; that is, the Byzantine devices may outnumber the correct ones. There +exists a trusted sender Alice who wishes to deliver a message m over a single +channel to the correct devices. There also exists a malicious user Carol who +controls the t Byzantine devices and uses them to disrupt the communication +channel. For a constant k>=2, the correct and Byzantine devices each possess a +meager energy budget of O(n^{1/k}), Alice and Carol each possess a limited +budget of \tilde{O}(n^{1/k}), and sending or listening in a slot incurs unit +cost. This general setup captures the inherent challenges of guaranteeing +communication despite scarce resources and attacks on the network. Given this +Alice versus Carol scenario, we ask: Is communication of m feasible and, if so, +at what cost? + We develop a protocol which, for an arbitrarily small constant \epsilon>0, +ensures that at least (1-\epsilon)n correct devices receive m with high +probability. Furthermore, if Carol's devices expend T energy jamming the +channel, then Alice and the correct devices each spend only +\tilde{O}(T^{1/(k+1)}). In other words, delaying the transmission of m forces a +jammer to rapidly deplete its energy supply and, consequently, cease attacks on +the network.",1202.4576v4 +2014-01-13,On List-decodability of Random Rank Metric Codes,"In the present paper, we consider list decoding for both random rank metric +codes and random linear rank metric codes. Firstly, we show that, for arbitrary +$00$ ($\epsilon$ and $R$ are independent), if +$0<\frac{n}{m}\leq \epsilon$, then with high probability a random rank metric +code in $F_{q}^{m\times n}$ of rate $R$ can be list-decoded up to a fraction +$(1-R-\epsilon)$ of rank errors with constant list size $L$ satisfying $L\leq +O(1/\epsilon)$. Moreover, if $\frac{n}{m}\geq\Theta_R(\epsilon)$, any rank +metric code in $F_{q}^{m\times n}$ with rate $R$ and decoding radius +$\rho=1-R-\epsilon$ can not be list decoded in ${\rm poly}(n)$ time. Secondly, +we show that if $\frac{n}{m}$ tends to a constant $b\leq 1$, then every +$F_q$-linear rank metric code in $F_{q}^{m\times n}$ with rate $R$ and list +decoding radius $\rho$ satisfies the Gilbert-Varsharmov bound, i.e., $R\leq +(1-\rho)(1-b\rho)$. Furthermore, for arbitrary $\epsilon>0$ and any $0<\rho<1$, +with high probability a random $F_q$-linear rank metric codes with rate +$R=(1-\rho)(1-b\rho)-\epsilon$ can be list decoded up to a fraction $\rho$ of +rank errors with constant list size $L$ satisfying $L\leq O(\exp(1/\epsilon))$.",1401.2693v2 +2003-03-13,Vibrational sidebands and dissipative tunneling in molecular transistors,"Transport through molecular devices with strong coupling to a single +vibrational mode is considered in the case where the vibration is damped by +coupling to the environment. We focus on the weak tunneling limit, for which a +rate equation approach is valid. The role of the environment can be +characterized by a frictional damping term $\mysig(\omega)$ and corresponding +frequency shift. We consider a molecule that is attached to a substrate, +leading to frequency-dependent frictional damping of the single oscillator mode +of the molecule, and compare it to a reference model with frequency-independent +damping featuring a constant quality factor $Q$. For large values of $Q$, the +transport is governed by tunneling between displaced oscillator states giving +rise to the well-known series of the Frank-Condon steps, while at small $Q$, +there is a crossover to the classical regime with an energy gap given by the +classical displacement energy. Using realistic values for the elastic +properties of the substrate and the size of the molecule, we calculate $I$-$V$ +curves and find qualitative agreement between our theory and recent experiments +on $C_{60}$ single-molecule devices.",0303236v3 +2001-01-16,Nonlinear Landau damping of a plasmino in the quark-gluon plasma,"On the basis of the Blaizot-Iancu equations, which are a local formulation of +the hard thermal loop (HTL) equations of motion for soft fluctuating quark and +gluon fields and their induced sources, the coupled kinetic equations for +plasminos and plasmons are obtained. The equality of matrix elements for +nonlinear scattering of a plasmino by hard particles in covariant and temporal +gauges is established by using effective Ward identities. The model problem of +the interaction of two infinitely narrow packets with fermion and boson quantum +numbers is considered. The kinematical relations between wave vectors of the +plasmino and plasmon are derived, when the effective pumping over of the plasma +excitation energy from the fermion branch of plasma excitations to the boson +branch and vice versa occur. The expression for the nonlinear Landau damping +rate of a plasmino at rest is found, and a comparison with a plasmino damping +constant obtained within the framework of the hard thermal loop approximation +is made. The nonlinear Landau damping rate for normal quark excitations is +shown to diverge like $1/\sqrt{q^2}$ near the light cone where $q$ is a +four-momentum of excitations, and the improved Blaizot-Iancu equations removing +this divergence are proposed.",0101167v2 +2005-10-21,Non-contact atomic force microscopy: Stability criterion and dynamical responses of the shift of frequency and damping signal,"The aim of this article is to provide a complete analysis of the behavior of +a noncontact atomic force microscope (NC-AFM). We start with a review of the +equations of motion of a tip interacting with a surface in which the stability +conditions are first revisited for tapping mode. Adding the equations of +automatic gain control (AGC), which insures constant amplitude of the +oscillations in the NC-AFM, to the equations of motion of the tip, a new +analytical stability criterion that involves proportional and integral gains of +AGC is deduced. Stationary solutions for the shift of frequency and for the +damping signal are obtained. Special attention is paid to the damping signal in +order to clarify its physical origin. The theoretical results are then compared +to those given by a virtual machine. The virtual machine is a set of equations +solved numerically without any approximation. The virtual machine is of great +help in understanding the dynamical behavior of the NC-AFM as images are +recorded. Transient responses of the shift in frequency and of the damping +signal are discussed in relation to the values of proportional and integral +gains of AGC.",0510192v1 +2008-06-09,Relaxation Time and Relaxation Function of Quark-Gluon Plasma with Lattice QCD,"We propose a method which enables a QCD-based calculation of a relaxation +time for a dissipative current in the causal and dissipative hydrodynamic +equation derived by Israel and Stewart. We point out that the Israel-Stewart +equation is not unique as a causal and dissipative hydrodynamic equation, and +the form of the causal and dissipative hydrodynamic equation is determined by +the shape of a spectral function reflecting the properties of elementary +excitations in the system we consider. Our method utilizes a relaxation +function, which can be calculated from QCD using the linear response theory. We +show that the relaxation function can be derived from a spectral function for a +microscopic representation of the dissipative current. We also show that the +Israel-Stewart equation is acceptable only as long as the calculated relaxation +function is approximated well by a exponentially damping function, and the +relaxation time can be obtained as its damping time constant. Taking a +baryon-number dissipative current of a plasma consisting of charm quarks and +gluons as a simple example, we present the first calculation of the relaxation +function with use of the spectral function derived employing the quenched +lattice QCD together with the maximum entropy method. The calculated relaxation +function shows a strongly-oscillation damping behaviour due to the charmed +vector hadron $J/\Psi$ surviving above the deconfinement phase transition +temperature in QCD. This result suggests that the applicability of the +Israel-Stewart equation to the baryon-number dissipative current of the charm +quark-gluon plasma is quite doubtful. We present an idea for the improvement of +the Israel-Stewart equation by deriving the hydrodynamic equation consistent +with the strongly-oscillation damping relaxation function.",0806.1481v1 +2018-02-18,On energy stable discontinuous Galerkin spectral element approximations of the perfectly matched layer for the wave equation,"We develop a provably energy stable discontinuous Galerkin spectral element +method (DGSEM) approximation of the perfectly matched layer (PML) for the three +and two space dimensional (3D and 2D) linear acoustic wave equations, in first +order form, subject to well-posed linear boundary conditions. First, using the +well-known complex coordinate stretching, we derive an efficient un-split modal +PML for the 3D acoustic wave equation. Second, we prove asymptotic stability of +the continuous PML by deriving energy estimates in the Laplace space, for the +3D PML in a heterogeneous acoustic medium, assuming piece-wise constant PML +damping. Third, we develop a DGSEM for the wave equation using physically +motivated numerical flux, with penalty weights, which are compatible with all +well-posed, internal and external, boundary conditions. When the PML damping +vanishes, by construction, our choice of penalty parameters yield an upwind +scheme and a discrete energy estimate analogous to the continuous energy +estimate. Fourth, to ensure numerical stability when PML damping is present, it +is necessary to systematically extend the numerical numerical fluxes, and the +inter-element and boundary procedures, to the PML auxiliary differential +equations. This is critical for deriving discrete energy estimates analogous to +the continuous energy estimates. Finally, we propose a procedure to compute PML +damping coefficients such that the PML error converges to zero, at the optimal +convergence rate of the underlying numerical method. Numerical experiments are +presented in 2D and 3D corroborating the theoretical results.",1802.06388v1 +2018-11-15,Damping rate of a fermion in ultradegenerate chiral matter,"We compute the damping rate of a fermion propagating in a chiral plasma when +there is an imbalance between the densities of left- and right-handed fermions, +after generalizing the hard thermal loop resummation techniques for these +systems. In the ultradegenerate limit, for very high energies the damping rate +of this external fermion approaches a constant value. Closer to the two Fermi +surfaces, however, we find that the rate depends on both the energy and the +chirality of the fermion, being higher for the predominant chirality. This +comes out as a result of its scattering with the particles of the plasma, +mediated by the exchange of Landau damped photons. In particular, we find that +the chiral imbalance is responsible for a different propagation of the left and +right circular polarised transverse modes of the photon, and that a chiral +fermion interacts differently with these two transverse modes. We argue that +spontaneous radiation of energetic fermions is kinematically forbidden, and +discuss the time regime where our computation is valid.",1811.06394v3 +2020-07-19,Global existence and convergence to the modified Barenblatt solution for the compressible Euler equations with physical vacuum and time-dependent damping,"In this paper, the smooth solution of the physical vacuum problem for the one +dimensional compressible Euler equations with time-dependent damping is +considered. Near the vacuum boundary, the sound speed is $C^{1/2}$-H\""{o}lder +continuous. The coefficient of the damping depends on time, given by this form +$\frac{\mu}{(1+t)^\lambda}$, $\lambda$, $\mu>0$, which decays by order +$-\lambda$ in time. Under the assumption that $0<\lambda<1$, $0<\mu$ or +$\lambda=1$, $2<\mu$, we will prove the global existence of smooth solutions +and convergence to the modified Barenblatt solution of the related porous media +equation with time-dependent dissipation and the same total mass when the +initial data of the Euler equations is a small perturbation of that of the +Barenblatt solution. The pointwise convergence rates of the density, velocity +and the expanding rate of the physical vacuum boundary are also given. The +proof is based on space-time weighted energy estimates, elliptic estimates and +Hardy inequality in the Lagrangian coordinates. Our result is an extension of +that in Luo-Zeng [Comm. Pure Appl. Math. 69 (2016), no. 7, 1354-1396], where +the authors considered the physical vacuum free boundary problem of the +compressible Euler equations with constant-coefficient damping.",2007.14802v2 +2020-11-16,Thresholds for loss of Landau damping in longitudinal plane,"Landau damping mechanism plays a crucial role in providing single-bunch +stability in LHC, High-Luminosity LHC, other existing as well as previous and +future (like FCC) circular hadron accelerators. In this paper, the thresholds +for the loss of Landau damping (LLD) in the longitudinal plane are derived +analytically using the Lebedev matrix equation (1968) and the concept of the +emerged van Kampen modes (1983). We have found that for the commonly-used +particle distribution functions from a binomial family, the LLD threshold +vanishes in the presence of the constant inductive impedance Im$Z/k$ above +transition energy. Thus, the effect of the cutoff frequency or the resonant +frequency of a broad-band impedance on beam dynamics is studied in detail. The +findings are confirmed by direct numerical solutions of the Lebedev equation as +well as using the Oide-Yokoya method (1990). Moreover, the characteristics, +which are important for beam operation, as the amplitude of residual +oscillations and the damping time after a kick (or injection errors) are +considered both above and below the threshold. Dependence of the threshold on +particle distribution in the longitudinal phase space is also analyzed, +including some special cases with a non-zero threshold for Im$Z/k = const$. All +main results are confirmed by macro-particle simulations and consistent with +available beam measurements in the LHC.",2011.07985v1 +2021-11-15,"Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters","A second order accurate, linear numerical method is analyzed for the +Landau-Lifshitz equation with large damping parameters. This equation describes +the dynamics of magnetization, with a non-convexity constraint of unit length +of the magnetization. The numerical method is based on the second-order +backward differentiation formula in time, combined with an implicit treatment +of the linear diffusion term and explicit extrapolation for the nonlinear +terms. Afterward, a projection step is applied to normalize the numerical +solution at a point-wise level. This numerical scheme has shown extensive +advantages in the practical computations for the physical model with large +damping parameters, which comes from the fact that only a linear system with +constant coefficients (independent of both time and the updated magnetization) +needs to be solved at each time step, and has greatly improved the numerical +efficiency. Meanwhile, a theoretical analysis for this linear numerical scheme +has not been available. In this paper, we provide a rigorous error estimate of +the numerical scheme, in the discrete $\ell^{\infty}(0,T; \ell^2) \cap +\ell^2(0,T; H_h^1)$ norm, under suitable regularity assumptions and reasonable +ratio between the time step-size and the spatial mesh-size. In particular, the +projection operation is nonlinear, and a stability estimate for the projection +step turns out to be highly challenging. Such a stability estimate is derived +in details, which will play an essential role in the convergence analysis for +the numerical scheme, if the damping parameter is greater than 3.",2111.07537v1 +1991-08-22,On the Perturbations of String-Theoretic Black Holes,"The perturbations of string-theoretic black holes are analyzed by +generalizing the method of Chandrasekhar. Attention is focussed on the case of +the recently considered charged string-theoretic black hole solutions as a +representative example. It is shown that string-intrinsic effects greatly alter +the perturbed motions of the string-theoretic black holes as compared to the +perturbed motions of black hole solutions of the field equations of general +relativity, the consequences of which bear on the questions of the scattering +behavior and the stability of string-theoretic black holes. The explicit forms +of the axial potential barriers surrounding the string-theoretic black hole are +derived. It is demonstrated that one of these, for sufficiently negative values +of the asymptotic value of the dilaton field, will inevitably become negative +in turn, in marked contrast to the potentials surrounding the static black +holes of general relativity. Such potentials may in principle be used in some +cases to obtain approximate constraints on the value of the string coupling +constant. The application of the perturbation analysis to the case of +two-dimensional string-theoretic black holes is discussed.",9108012v1 +1992-10-31,All Or Nothing: On the Small Fluctuations of Two-Dimensional String-Theoretic Black Holes,"A comprehensive analysis of small fluctuations about two-dimensional +string-theoretic and string-inspired black holes is presented. It is shown with +specific examples that two-dimensional black holes behave in a radically +different way from all known black holes in four dimensions. For both the +$SL(2,R)/U(1)$ black hole and the two-dimensional black hole coupled to a +massive dilaton with constant field strength, it is shown that there are a {\it +continuous infinity} of solutions to the linearized equations of motion, which +are such that it is impossible to ascertain the classical linear response. It +is further shown that the two-dimensional black hole coupled to a massive, +linear dilaton admits {\it no small fluctuations at all}. We discuss possible +implications of our results for the Callan-Giddings-Harvey-Strominger black +hole.",9210165v3 +2005-12-19,More on the Asymmetric Infinite Square Well: Energy Eigenstates with Zero Curvature,"We extend the standard treatment of the asymmetric infinite square well to +include solutions that have zero curvature over part of the well. This type of +solution, both within the specific context of the asymmetric infinite square +well and within the broader context of bound states of arbitrary +piecewise-constant potential energy functions, is not often discussed as part +of quantum mechanics texts at any level. We begin by outlining the general +mathematical condition in one-dimensional time-independent quantum mechanics +for a bound-state wave function to have zero curvature over an extended region +of space and still be a valid wave function. We then briefly review the +standard asymmetric infinite square well solutions, focusing on zero-curvature +solutions as represented by energy eigenstates in position and momentum space.",0512156v1 +2007-12-01,On Precision - Redundancy Relation in the Design of Source Coding Algorithms,"We study the effects of finite-precision representation of source's +probabilities on the efficiency of classic source coding algorithms, such as +Shannon, Gilbert-Moore, or arithmetic codes. In particular, we establish the +following simple connection between the redundancy $R$ and the number of bits +$W$ necessary for representation of source's probabilities in computer's memory +($R$ is assumed to be small): \begin{equation*} W \lesssim \eta \log_2 +\frac{m}{R}, \end{equation*} where $m$ is the cardinality of the source's +alphabet, and $\eta \leqslant 1$ is an implementation-specific constant. In +case of binary alphabets ($m=2$) we show that there exist codes for which $\eta += 1/2$, and in $m$-ary case ($m > 2$) we show that there exist codes for which +$\eta = m/(m+1)$. In general case, however (which includes designs relying on +progressive updates of frequency counters), we show that $\eta = 1$. Usefulness +of these results for practical designs of source coding algorithms is also +discussed.",0712.0057v1 +2008-04-07,"Energy equilibriation processes of electrons, magnons and phonons on the femtosecond timescale","By means of time-resolved Kerr spectroscopy experiments we relate the energy +dissipation processes on the femtosecond (electron-spin relaxation time +$\tau_{el-sp}$) and nanosecond timescale (Gilbert relaxation $\tau_{\alpha}$) +and compare the results to the first microscopic model, which was proposed by +Koopmans. For both energy dissipation processes, Elliot-Yafet scattering is +proposed as the dominant contributor. We controllably manipulate the energy +dissipation processes by transition metal doping (Pd) and rare earth doping +(Dy) of a Permalloy film and find that while a change of $\tau_{\alpha}$ of +more than a factor two is observed, \tau_{el-sp}$ remains constant, contrary to +the predictions of the model. We explain the discrepancies by relaxation +channels not considered in the original microscopic model and identify thereby +the applicability of the model and possible necessary extensions to the model.",0804.0985v1 +2008-07-10,Mechanical and Electronic Properties of Ferromagnetic GaMnAs Using Ultrafast Coherent Acoustic Phonons,"Ultrafast two-color pump-probe measurements, involving coherent acoustic +phonon (CAP) waves, have provided information simultaneously on the mechanical +properties and on the electronic structure of ferromagnetic GaMnAs. The elastic +constant C11 of Ga1-xMnxAs (0.03