diff --git "a/spin_orbit_coupling_-_abstract.csv" "b/spin_orbit_coupling_-_abstract.csv" new file mode 100644--- /dev/null +++ "b/spin_orbit_coupling_-_abstract.csv" @@ -0,0 +1,110281 @@ +publicationDate,title,abstract,id +2019-11-27,How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator,"The concept of the entanglement between spin and orbital degrees of freedom +plays a crucial role in understanding various phases and exotic ground states +in a broad class of materials, including orbitally ordered materials and spin +liquids. We investigate how the spin-orbital entanglement in a Mott insulator +depends on the value of the spin-orbit coupling of the relativistic origin. To +this end, we numerically diagonalize a 1D spin-orbital model with the +'Kugel-Khomskii' exchange interactions between spins and orbitals on different +sites supplemented by the on-site spin-orbit coupling. In the regime of small +spin-orbit coupling w.r.t. the spin-orbital exchange, the ground state to a +large extent resembles the one obtained in the limit of vanishing spin-orbit +coupling. On the other hand, for large spin-orbit coupling the ground state +can, depending on the model parameters, either still show negligible +spin-orbital entanglement, or can evolve to a highly spin-orbitally entangled +phase with completely distinct properties that are described by an effective +XXZ model. The presented results suggest that: (i) the spin-orbital +entanglement may be induced by large on-site spin-orbit coupling, as found in +the 5d transition metal oxides, such as the iridates; (ii) for Mott insulators +with weak spin-orbit coupling of Ising-type, such as e.g. the alkali +hyperoxides, the effects of the spin-orbit coupling on the ground state can, in +the first order of perturbation theory, be neglected.",1911.12180v2 +2016-09-11,Spin-Orbit Coupling Induced Spin Squeezing in Three-Component Bose Gases,"We observe spin squeezing in three-component Bose gases where all three +hyperfine states are coupled by synthetic spin-orbit coupling. This phenomenon +is a direct consequence of spin-orbit coupling, as can be seen clearly from an +effective spin Hamiltonian. By solving this effective model analytically with +the aid of a Holstein-Primakoff transformation for spin-1 system in the low +excitation limit, we conclude that the spin-nematic squeezing, a novel category +of spin squeezing existing exclusively in large spin systems, is enhanced with +increasing spin-orbit intensity and effective Zeeman field, which correspond to +Rabi frequency and two-photon detuning within the Raman scheme for synthetic +spin-orbit coupling, respectively. These trends of dependence are in clear +contrast to spin-orbit coupling induced spin squeezing in spin-1/2 systems. We +also analyze the effects of harmonic trap and interaction with realistic +experimental parameters numerically, and find that a strong harmonic trap +favors spin-nematic squeezing. We further show spin-nematic squeezing can be +interpreted as two-mode entanglement or two-spin squeezing at low excitation. +Our findings can be observed in ^{87}Rb gases with existing techniques of +synthetic spin-orbit coupling and spin-selectively imaging.",1609.03141v1 +2020-09-24,Evolution of Spin-Orbital Entanglement with Increasing Ising Spin-Orbit Coupling,"Several realistic spin-orbital models for transition metal oxides go beyond +the classical expectations and could be understood only by employing the +quantum entanglement. Experiments on these materials confirm that spin-orbital +entanglement has measurable consequences. Here, we capture the essential +features of spin-orbital entanglement in complex quantum matter utilizing 1D +spin-orbital model which accommodates SU(2)xSU(2) symmetric Kugel-Khomskii +superexchange as well as the Ising on-site spin-orbit coupling. Building on the +results obtained for full and effective models in the regime of strong +spin-orbit coupling, we address the question whether the entanglement found on +superexchange bonds always increases when the Ising spin-orbit coupling is +added. We show that (i) quantum entanglement is amplified by strong spin-orbit +coupling and, surprisingly, (ii) almost classical disentangled states are +possible. We complete the latter case by analyzing how the entanglement +existing for intermediate values of spin-orbit coupling can disappear for +higher values of this coupling.",2009.11773v1 +2011-08-31,Curvature-induced spin-orbit coupling and spin relaxation in a chemically clean single-layer graphene,"The study of spin-related phenomena in materials requires knowledge on the +precise form of effective spin-orbit coupling of conducting carriers in the +solid-states systems. We demonstrate theoretically that curvature induced by +corrugations or periodic ripples in single-layer graphenes generates two types +of effective spin-orbit coupling. In addition to the spin-orbit coupling +reported previously that couples with sublattice pseudospin and corresponds to +the Rashba-type spin-orbit coupling in a corrugated single-layer graphene, +there is an additional spin-orbit coupling that does not couple with the +pseudospin, which can not be obtained from the extension of the +curvature-induced spin-orbit coupling of carbon nanotubes. Via numerical +calculation we show that both types of the curvature-induced spin-orbit +coupling make the same order of contribution to spin relaxation in chemically +clean single-layer graphene with nanoscale corrugation. The spin relaxation +dependence on the corrugation roughness is also studied.",1108.6128v3 +2007-01-31,Coupled spin-charge drift-diffusion approach for a two-dimensional electron gas with Rashba spin-orbit coupling,"Based on kinetic equations for the density matrix, drift-diffusion equations +are derived for a two-dimensional electron gas with Rashba spin-orbit coupling. +Universal results are obtained for the weak coupling case. Most interesting is +the observation that with increasing spin-orbit coupling strengths there is a +sharp transition between spin diffusion and ballistic spin transport. For +strong spin-orbit coupling, when the elastic scattering time is much larger +than the spin relaxation time, undamped spin-coherent waves are identified. The +existence of these long-lived spin-coherent states is confirmed by exact +analytical results obtained from microscopic kinetic equations valid in the +ballistic regime.",0701782v1 +2015-05-28,Intrinsic spin Hall effect in systems with striped spin-orbit coupling,"The Rashba spin-orbit coupling arising from structure inversion asymmetry +couples spin and momentum degrees of freedom providing a suitable (and very +intensively investigated) environment for spintronic effects and devices. Here +we show that in the presence of strong disorder, non-homogeneity in the +spin-orbit coupling gives rise to a finite spin Hall conductivity in contrast +with the corresponding case of a homogeneous linear spin-orbit coupling. In +particular, we examine the inhomogeneity arising from a striped structure for a +two-dimensional electron gas, affecting both density and Rashba spin-orbit +coupling. We suggest that this situation can be realized at oxide interfaces +with periodic top gating.",1505.07667v1 +2018-05-25,Generation of Spin Current from Lattice Distortion Dynamics: Spin-Orbit Routes,"Generation of spin current from lattice distortion dynamics in metals is +studied with special attention on the effect of spin-orbit coupling. Treating +the lattice distortion by local coordinate transformation, we calculate spin +current and spin accumulation with the linear response theory. It is found that +there are two routes to the spin-current generation, one via the spin Hall +effect and the other via the spin accumulation. The present effect due to +spin-orbit coupling can be comparable to, or even larger than, the one based on +the spin-vorticity coupling in systems with strong spin-orbit coupling.",1805.10328v2 +2009-10-16,Current-induced spin polarization for a general two-dimensional electron system,"In this paper, current-induced spin polarization for two-dimensional electron +gas with a general spin-orbit interaction is investigated. For isotropic energy +spectrum, the in-plane current-induced spin polarization is found to be +dependent on the electron density for non-linear spin-orbit interaction and +increases with the increment of sheet density, in contrast to the case for $\bm +k$-linear spin-orbit coupling model. The numerical evaluation is performed for +InAs/InSb heterojunction with spin-orbit coupling of both linear and cubic +spin-orbit coupling types. For $\delta$-type short-range electron-impurity +scattering, it is found that the current-induced spin polarization increases +with increasing the density when cubic spin-orbit couplings are considered. +However, for remote disorders, a rapid enhancement of current-induced spin +polarization is always observed at high electron density, even in the case +without cubic spin-orbit coupling. This result demonstrates the +collision-related feature of current-induced spin polarization. The effects of +different high order spin-orbit couplings on spin polarization can be +comparable.",0910.3050v1 +2018-10-08,Zeeman spin-orbit coupling in antiferromagnetic conductors,"This article is a brief review of Zeeman spin-orbit coupling, arising in a +low-carrier commensurate N\'eel antiferromagnet subject to magnetic field. The +field tends to lift the degeneracy of the electron spectrum. However, a hidden +symmetry protects double degeneracy of Bloch eigenstates at special momenta in +the Brillouin zone. The effective transverse $g$-factor vanishes at such +points, thus acquiring a substantial momentum dependence, which turns a +textbook Zeeman term into a spin-orbit coupling. After describing the symmetry +underpinnings of the Zeeman spin-orbit coupling, I compare it with its +intrinsic counterparts such as Rashba coupling, and then show how Zeeman +spin-orbit coupling may survive in the presence of intrinsic spin-orbit +coupling. Finally, I outline some of the likely experimental manifestations of +Zeeman spin-orbit coupling, and compare it with similar phenomena in other +settings such as semiconducting quantum wells.",1810.03720v1 +2021-01-27,Spin-memory loss induced by bulk spin-orbit coupling at ferromagnet/heavy-metal interfaces,"A spin current through a ferromagnet/heavy-metal interface may shrink due to +the spin-flip at the interface, resulting in the spin-memory loss. Here we +propose a mechanism of the spin-memory loss. In contrast to other mechanisms +based on interfacial spin-orbit coupling, our mechanism is based on the bulk +spin-orbit coupling in a heavy-metal. We demonstrate that the bulk spin-orbit +coupling induces the entanglement between the spin and orbital degrees of +freedom and this spin-orbital entanglement can give rise to sizable spin-flip +at the interface even when the interfacial spin-orbit coupling is weak. Our +mechanism emphasizes crucial roles of the atomic orbital degree of freedom and +induces the strong spin-memory loss near band crossing points between bands of +different orbital characters.",2101.11438v1 +2023-10-07,"Orbital diffusion, polarization and swapping in centrosymmetric metals","We propose a general theory of charge, spin and orbital diffusion based on +Keldysh formalism. Our findings indicate that the diffusivity of orbital +angular momentum in metals is much lower than that of spin or charge due to the +strong orbital intermixing in crystals. Furthermore, our theory introduces the +concept of spin-orbit polarization by which a pure orbital (spin) current +induces a longitudinal spin (orbital) current, a process as efficient as spin +polarization in ferromagnets. Finally, we find that orbital currents undergo +momentum swapping, even in the absence of spin-orbit coupling. This theory +establishes several key parameters for orbital transport of direct importance +to experiments.",2310.04763v1 +2018-04-28,Spin-1 Bosons in the Presence of Spin-orbit Coupling,"In this paper, I'm going to talk about the theoretical and experimental +progress in studying spin-orbit coupled spin-1 bosons. Realization of +spin-orbit coupled quantum gases opens a new avenue in cold atom physics. In +particular, the interplay between spin-orbit coupling and inter-atomic +interaction leads to many intriguing phenomena. Moreover, the non-zero momentum +of ground states can be controlled by external fields, which allows for good +quantum control.",1805.00001v1 +2021-03-10,Magnetic phases for two $t_{2g}$ holes with spin-orbit coupling and crystal field,"We investigate two holes in the the $t_{2g}$ levels of a square-lattice Mott +insulator with strong spin-orbit coupling. Exact diagonalization of a +spin-orbital model valid at strong onsite interactions, but arbitrary +spin-orbit coupling and crystal field is complemented by an effective triplon +model (valid for strong spin-orbit coupling) and by a semiclassical variant of +the model. We provide the magnetic phase diagram depending on crystal field and +spin-orbit coupling, which largely agrees for the semiclassical and quantum +models, as well as excitation spectra characterizing the various phases.",2103.06033v1 +2007-10-28,Some symmetry properties of spin currents and spin polarizations in multi-terminal mesoscopic spin-orbit coupled systems,"We study theoretically some symmetry properties of spin currents and spin +polarizations in multi-terminal mesoscopic spin-orbit coupled systems. Based on +a scattering wave function approach, we show rigorously that in the equilibrium +state no finite spin polarizations can exist in a multi-terminal mesoscopic +spin-orbit coupled system (both in the leads and in the spin-orbit coupled +region) and also no finite equilibrium terminal spin currents can exist. By use +of a typical two-terminal mesoscopic spin-orbit coupled system as the example, +we show explicitly that the nonequilibrium terminal spin currents in a +multi-terminal mesoscopic spin-orbit coupled system are non-conservative in +general. This non-conservation of terminal spin currents is not caused by the +use of an improper definition of spin current but is intrinsic to +spin-dependent transports in mesoscopic spin-orbit coupled systems. We also +show that the nonequilibrium lateral edge spin accumulation induced by a +longitudinal charge current in a thin strip of \textit{finite} length of a +two-dimensional electronic system with intrinsic spin-orbit coupling may be +non-antisymmetric in general, which implies that some cautions may need to be +taken when attributing the occurrence of nonequilibrium lateral edge spin +accumulation induced by a longitudinal charge current in such a system to an +intrinsic spin Hall effect.",0710.5316v1 +2023-11-18,Thermal Spin Orbit Torque with Dresselhaus Spin Orbit Coupling,"Based on the spinor Boltzmann equation, we obtain a temperature dependent +thermal spin-orbit torque in terms of the local equilibrium distribution +function in a two dimensional ferromagnet with Dresselhaus spin-orbit coupling. +We also derive the continuity equation of spin accumulation and spin current, +the spin diffusion equation in Dresselhaus ferromagnet, which contains the +thermal spin orbit torque under local equilibrium assumption. This temperature +dependent thermal spin-orbit torque originates from the temperature gradient +applied to the system. it is also sensitive to temperature due to the local +equilibrium distribution function therein. In the spin diffusion equation, we +can single out the usual spin-orbit torque as well as the spin transfer torque, +which is conceded to our previous results. Finally, we illustrate them by an +example of spin-polarized transport through a ferromagnet with Dresselhaus +spin-orbit coupling driven by temperature gradient, those torques including +thermal spin-orbit torque are demonstrated numerically.",2311.14719v1 +2017-12-15,Large spin relaxation anisotropy and valley-Zeeman spin-orbit coupling in WSe2/Gr/hBN heterostructures,"Large spin-orbital proximity effects have been predicted in graphene +interfaced with a transition metal dichalcogenide layer. Whereas clear evidence +for an enhanced spin-orbit coupling has been found at large carrier densities, +the type of spin-orbit coupling and its relaxation mechanism remained unknown. +We show for the first time an increased spin-orbit coupling close to the charge +neutrality point in graphene, where topological states are expected to appear. +Single layer graphene encapsulated between the transition metal dichalcogenide +WSe$_2$ and hBN is found to exhibit exceptional quality with mobilities as high +as 100000 cm^2/V/s. At the same time clear weak anti-localization indicates +strong spin-orbit coupling and a large spin relaxation anisotropy due to the +presence of a dominating symmetric spin-orbit coupling is found. Doping +dependent measurements show that the spin relaxation of the in-plane spins is +largely dominated by a valley-Zeeman spin-orbit coupling and that the intrinsic +spin-orbit coupling plays a minor role in spin relaxation. The strong +spin-valley coupling opens new possibilities in exploring spin and valley +degree of freedom in graphene with the realization of new concepts in spin +manipulation.",1712.05678v2 +2007-01-05,Deformation of SU(4) singlet spin-orbital state due to Hund's rule coupling,"We investigate the ground-state property and the excitation gap of a +one-dimensional spin-orbital model with isotropic spin and anisotropic orbital +exchange interactions, which represents the strong-coupling limit of a +two-orbital Hubbard model including the Hund's rule coupling ($J$) at quarter +filling, by using a density-matrix renormalization group method. At J=0, spin +and orbital correlations coincide with each other with a peak at $q=\pi/2$, +corresponding to the SU(4) singlet state. On the other hand, spin and orbital +states change in a different way due to the Hund's rule coupling. With +increasing $J$, the peak position of orbital correlation changes to $q=\pi$, +while that of spin correlation remains at $q=\pi/2$. In addition, orbital dimer +correlation becomes robust in comparison with spin dimer correlation, +suggesting that quantum orbital fluctuation is enhanced by the Hund's rule +coupling. Accordingly, a relatively large orbital gap opens in comparison with +a spin gap, and the system is described by an effective spin system on the +background of the orbital dimer state.",0701092v1 +2010-04-08,Coupling of bonding and antibonding electron orbitals in double quantum dots by spin-orbit interaction,"We perform a systematic exact diagonalization study of spin-orbit coupling +effects for stationary few-electron states confined in quasi two-dimensional +double quantum dots. We describe the spin-orbit-interaction induced coupling +between bonding and antibonding orbitals and its consequences for +magneto-optical absorption spectrum. The spin-orbit coupling for odd electron +numbers (one, three) %only weakly perturbs the ground-state wave functions. +%Nevertheless, %the spin-orbit interaction opens avoided crossings between low +energy excited levels of opposite spin orientation and opposite spatial parity. +For two-electrons the spin-orbit coupling allows for low-energy optical +transitions that are otherwise forbidden by spin and parity selection rules. We +demonstrate that the energies of optical transitions can be significantly +increased by an in-plane electric field but only for odd electron numbers. +Occupation of single-electron orbitals and effects of spin-orbit coupling on +electron distribution between the dots are also discussed.",1004.1250v1 +2021-11-22,Particle and spin transports of spin-orbit coupled Fermi gas through a Quantum Point Contact,"The particle and spin transport through a quantum point contact between two +Fermi gases with Raman-induced spin-orbit coupling are investigated. We show +that the particle and spin conductances both demonstrate the structure of +plateau due to the mesoscopic scale of the quantum point contact. Compared with +the normal Fermi gases the particle conductance can be significantly enhanced +by the spin-orbit coupling effect. Furthermore, the conversion of the particle +and spin currents can take place in the spin-orbit coupled system, and we find +that it is controlled by the parameter of two-photon detuning. When the +parameter of two-photon detuning vanishes the particle and spin currents +decouple.",2111.11054v1 +2017-01-25,Direct Mapping of Spin and Orbital Entangled Wavefunction under Interband Spin-Orbit coupling of Rashba Spin-Split Surface States,"We use spin- and angle-resolved photoemission spectroscopy (SARPES) combined +with polarization-variable laser and investigate the spin-orbit coupling effect +under interband hybridization of Rashba spin-split states for the surface +alloys Bi/Ag(111) and Bi/Cu(111). In addition to the conventional band mapping +of photoemission for Rashba spin-splitting, the different orbital and spin +parts of the surface wavefucntion are directly imaged into energy-momentum +space. It is unambiguously revealed that the interband spin-orbit coupling +modifies the spin and orbital character of the Rashba surface states leading to +the enriched spin-orbital entanglement and the pronounced momentum dependence +of the spin-polarization. The hybridization thus strongly deviates the spin and +orbital characters from the standard Rashba model. The complex spin texture +under interband spin-orbit hybridyzation proposed by first-principles +calculation is experimentally unraveled by SARPES with a combination of p- and +s-polarized light.",1701.07269v1 +2002-11-05,"SU(4) Spin-Orbital Two-Leg Ladder, Square and Triangle Lattices","Based on the generalized valence bond picture, a Schwinger boson mean field +theory is applied to the symmetric SU(4) spin-orbital systems. For a two-leg +SU(4) ladder, the ground state is a spin-orbital liquid with a finite energy +gap, in good agreement with recent numerical calculations. In two-dimensional +square and triangle lattices, the SU(4) Schwinger bosons condense at +(\pi/2,\pi/2) and (\pi/3,\pi/3), respectively. Spin, orbital, and coupled +spin-orbital static susceptibilities become singular at the wave vectors, twice +of which the bose condensation arises at. It is also demonstrated that there +are spin, orbital, and coupled spin-orbital long-range orderings in the ground +state.",0211074v1 +2013-08-29,Spin-orbit coupling and spin Hall effect for neutral atoms without spin-flips,"We propose a scheme which realizes spin-orbit coupling and the spin Hall +effect for neutral atoms in optical lattices without relying on near resonant +laser light to couple different spin states. The spin-orbit coupling is created +by modifying the motion of atoms in a spin-dependent way by laser recoil. The +spin selectivity is provided by Zeeman shifts created with a magnetic field +gradient. Alternatively, a quantum spin Hamiltonian can be created by +all-optical means using a period- tripling, spin-dependent superlattice.",1308.6349v1 +2003-01-28,Spin-orbital gapped phase with least symmetry breaking in the one-dimensional symmetrically coupled spin-orbital model,"To describe the spin-orbital energy gap formation in the one-dimensional +symmetrically coupled spin-orbital model, we propose a simple mean field theory +based on an SU(4) constraint fermion representation of spins and orbitals. A +spin-orbital gapped phase is formed due to a marginally relevant spin-orbital +valence bond pairing interaction. The energy gap of the spin and orbital +excitations grows extremely slowly from the SU(4) symmetric point up to a +maximum value and then decreases rapidly. By calculating the spin, orbital, and +spin-orbital tensor static susceptibilities at zero temperature, we find a +crossover from coherent to incoherent magnetic excitations as the spin-orbital +coupling decreasing from large to small values.",0301533v2 +2013-12-11,Spin-orbit coupling in quantum gases,"Spin-orbit coupling links a particle's velocity to its quantum mechanical +spin, and is essential in numerous condensed matter phenomena, including +topological insulators and Majorana fermions. In solid-state materials, +spin-orbit coupling originates from the movement of electrons in a crystal's +intrinsic electric field, which is uniquely prescribed. In contrast, for +ultracold atomic systems, the engineered ""material parameters"" are tuneable: a +variety of synthetic spin-orbit couplings can be engineered on demand using +laser fields. Here we outline the current experimental and theoretical status +of spin-orbit coupling in ultracold atomic systems, discussing unique features +that enable physics impossible in any other known setting.",1312.3292v1 +2012-08-28,Spin-orbit coupled particle in a spin bath,"We consider a spin-orbit coupled particle confined in a quantum dot in a bath +of impurity spins. We investigate the consequences of spin-orbit coupling on +the interactions that the particle mediates in the spin bath. We show that in +the presence of spin-orbit coupling, the impurity-impurity interactions are no +longer spin-conserving. We quantify the degree of this symmetry breaking and +show how it relates to the spin-orbit coupling strength. We identify several +ways how the impurity ensemble can in this way relax its spin by coupling to +phonons. A typical resulting relaxation rate for a self-assembled Mn-doped ZnTe +quantum dot populated by a hole is 1 $\mu$s. We also show that decoherence +arising from nuclear spins in lateral quantum dots is still removable by a spin +echo protocol, even if the confined electron is spin-orbit coupled.",1208.5606v1 +2023-10-08,Vortex Lattice Formation in Spin-Orbit-Coupled Spin-2 Bose-Einstein Condensate Under Rotation,"We investigate the vortex lattice configuration in a rotating spin +orbit-coupled spin-2 Bose-Einstein condensate confined in a +quasi-two-dimensional harmonic trap. By considering the interplay between +rotation frequency, spin-orbit couplings, and inter atomic interactions, we +explore a variety of vortex lattice structures emerging as a ground state +solution. Our study focuses on the combined effects of spin-orbit coupling and +rotation, analyzed by using the variational method for the single-particle +Hamiltonian. We observe that the interplay between rotation and Rashba +spin-orbit coupling gives rise to different effective potentials for the +bosons. Specifically, at higher rotation frequencies, isotropic spin-orbit +coupling leads to an effective toroidal potential, while fully anisotropic +spin-orbit coupling results in a symmetric double-well potential. To obtain +these findings, we solve the five coupled Gross-Pitaevskii equations for the +spin-2 BEC with spin-orbit coupling under rotation. Notably, we find that the +antiferromagnetic, cyclic, and ferromagnetic phases exhibit similar behavior at +higher rotation.",2310.05160v1 +2007-09-21,Weak and strong coupling limits of the two-dimensional Fröhlich polaron with spin-orbit Rashba interaction,"The continuous progress in fabricating low-dimensional systems with large +spin-orbit couplings has reached a point in which nowadays materials may +display spin-orbit splitting energies ranging from a few to hundreds of meV. +This situation calls for a better understanding of the interplay between the +spin-orbit coupling and other interactions ubiquitously present in solids, in +particular when the spin-orbit splitting is comparable in magnitude with +characteristic energy scales such as the Fermi energy and the phonon frequency. + In this article, the two-dimensional Fr\""ohlich electron-phonon problem is +reformulated by introducing the coupling to a spin-orbit Rashba potential, +allowing for a description of the spin-orbit effects on the electron-phonon +interaction. The ground state of the resulting Fr\""ohlich-Rashba polaron is +studied in the weak and strong coupling limits of the electron-phonon +interaction for arbitrary values of the spin-orbit splitting. The weak coupling +case is studied within the Rayleigh-Schr\""odinger perturbation theory, while +the strong-coupling electron-phonon regime is investigated by means of +variational polaron wave functions in the adiabatic limit. It is found that, +for both weak and strong coupling polarons, the ground state energy is +systematically lowered by the spin-orbit interaction, indicating that the +polaronic character is strengthened by the Rashba coupling. It is also shown +that, consistently with the lowering of the ground state, the polaron effective +mass is enhanced compared to the zero spin-orbit limit. Finally, it is argued +that the crossover between weakly and strongly coupled polarons can be shifted +by the spin-orbit interaction.",0709.3429v2 +2021-02-02,"Coupled spin-orbital fluctuations in a three orbital model for $4d$ and $5d$ oxides with electron fillings $n=3,4,5$ -- Application to $\rm NaOsO_3$, $\rm Ca_2RuO_4$, and $\rm Sr_2IrO_4$","A unified approach is presented for investigating coupled spin-orbital +fluctuations within a realistic three-orbital model for strongly spin-orbit +coupled systems with electron fillings $n=3,4,5$ in the $t_{2g}$ sector of +$d_{yz},d_{xz},d_{xy}$ orbitals. A generalized fluctuation propagator is +constructed which is consistent with the generalized self-consistent +Hartree-Fock approximation where all Coulomb interaction contributions +involving orbital diagonal and off-diagonal spin and charge condensates are +included. Besides the low-energy magnon, intermediate-energy orbiton and +spin-orbiton, and high-energy spin-orbit exciton modes, the generalized +spectral function also shows other high-energy excitations such as the Hund's +coupling induced gapped magnon modes. We relate the characteristic features of +the coupled spin-orbital excitations to the complex magnetic behavior resulting +from the interplay between electronic bands, spin-orbit coupling, Coulomb +interactions, and structural distortion effects, as realized in the compounds +$\rm NaOsO_3$, $\rm Ca_2RuO_4$, and $\rm Sr_2IrO_4$.",2102.01400v2 +2023-07-27,Spin-orbit torque emerging from orbital textures in centrosymmetric materials,"We unveil a hitherto concealed spin-orbit torque mechanism driven by orbital +degrees of freedom in centrosymmetric two-dimensional transition metal +dichalcogenides (focusing on PtSe${}_2$ ). Using first-principles simulations, +tight-binding models and large-scale quantum transport calculations, we show +that such a mechanism fundamentally stems from a spatial localization of +orbital textures at opposite sides of the material, which imprints their +symmetries onto spin-orbit coupling effects, further producing efficient and +tunable spin-orbit torque. Our study suggests that orbital-spin entanglement at +play in centrosymmetric materials can be harnessed as a resource for +outperforming conventional spin-orbit torques generated by the Rashba-type +effects.",2307.14673v1 +2001-08-01,The Rashba Effect within the Coherent Scattering Formalism,"The influence of spin-orbit coupling in two-dimensional systems is +investigated within the framework of the Landauer-Buettiker coherent scattering +formalism. This formalism usually deals with spin-independent stationary states +and, therefore, it does not include a spin-orbit contribution to the current. +In this article, we will rederive the coherent scattering formalism, accounting +for the changes brought about by the spin-orbit coupling. After a short review +of the features of spin-orbit coupling in two-dimensional electron gases, we +define the creation/annihilaton operators in the stationary states of the +spin-orbit coupling Hamiltonian and use them to calculate the current operator +within the Landauer-Buettiker formalism. The current is expressed as it is in +the standard spin-independent case, but with the spin label replaced by a new +label which we call the spin-orbit coupling label. The spin-orbit coupling +effects can then be represented in a scattering matrix which relates the +spin-orbit coupling stationary states in different leads. This scattering +matrix is calculated in the case of a four-port beamsplitter, and it is shown +to mix states with different spin-orbit coupling labels in a manner that +depends on the angle between the leads. The formalism is then used to calculate +the effect of spin-orbit coupling on the current and noise in two examples of +electron collision.",0108021v1 +2006-06-22,"Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps","A continuum model for the effective spin orbit interaction in graphene is +derived from a tight-binding model which includes the $\pi$ and $\sigma$ bands. +We analyze the combined effects of the intra-atomic spin-orbit coupling, +curvature, and applied electric field, using perturbation theory. We recover +the effective spin-orbit Hamiltonian derived recently from group theoretical +arguments by Kane and Mele. We find, for flat graphene, that the intrinsic +spin-orbit coupling $\Hi \propto \Delta^ 2$ and the Rashba coupling due to a +perpendicular electric field ${\cal E}$, $\Delta_{\cal E} \propto \Delta$, +where $\Delta$ is the intra-atomic spin-orbit coupling constant for carbon. +Moreover we show that local curvature of the graphene sheet induces an extra +spin-orbit coupling term $\Delta_{\rm curv} \propto \Delta$. For the values of +$\cal E$ and curvature profile reported in actual samples of graphene, we find +that $\Hi < \Delta_{\cal E} \lesssim \Delta_{\rm curv}$. The effect of +spin-orbit coupling on derived materials of graphene, like fullerenes, +nanotubes, and nanotube caps, is also studied. For fullerenes, only $\Hi$ is +important. Both for nanotubes and nanotube caps $\Delta_{\rm curv}$ is in the +order of a few Kelvins. We reproduce the known appearance of a gap and +spin-splitting in the energy spectrum of nanotubes due to the spin-orbit +coupling. For nanotube caps, spin-orbit coupling causes spin-splitting of the +localized states at the cap, which could allow spin-dependent field-effect +emission.",0606580v3 +2014-01-18,Position and Spin Control by Dynamical Ultrastrong Spin-Orbit Coupling,"Focusing on the efficient probe and manipulation of single-particle spin +states, we investigate the coupled spin and orbital dynamics of a spin 1/2 +particle in a harmonic potential subject to ultrastrong spin-orbit interaction +and external magnetic field. The advantage of these systems is the clear +visualization of the strong spin-orbit coupling in the orbital dynamics. We +also investigate the effect of a time-dependent coupling: Its nonadiabatic +change causes an interesting interplay of spin and orbital motion which is +related to the direction and magnitude of the applied magnetic field. This +result suggests that orbital state manipulation can be realized through +ultrastrong spin-orbit interactions, becoming a useful tool for handling +entangled spin and orbital degrees of freedom to produce, for example, spin +desirable polarizations in time interesting for spintronics implementations.",1401.4554v1 +2005-10-03,Spin relaxation in quantum dots with random spin-orbit coupling,"We investigate the longitudinal spin relaxation arising due to spin-flip +transitions accompanied by phonon emission in quantum dots where the strength +of the Rashba spin-orbit coupling is a random function of the lateral +(in-plane) coordinate on the spatial nanoscale. In this case the Rashba +contribution to the spin-orbit coupling cannot be completely removed by +applying a uniform external bias across the quantum dot plane. Due to the +remnant random contribution, the spin relaxation rate cannot be decreased by +more than two orders of magnitude even when the external bias fully compensates +the regular part of the spin-orbit coupling.",0510050v1 +2009-05-05,Transport through a band insulator with Rashba spin-orbit coupling: metal-insulator transition and spin-filtering effects,"We calculate the current-voltage characteristic of a one-dimensional band +insulator with magnetic field and Rashba spin-orbit coupling which is connected +to nonmagnetic leads. Without spin-orbit coupling we find a complete +spin-filtering effect, meaning that the electric transport occurs in one spin +channel only. For a large magnetic field which closes the band gap, we show +that spin-orbit coupling leads to a transition from metallic to insulating +behavior. The oscillations of the different spin-components of the current with +the length of the transport channel are studied as well.",0905.0611v1 +2013-04-11,Large spin-orbit coupling in carbon nanotubes,"It has recently been recognized that the strong spin-orbit interaction +present in solids can lead to new phenomena, such as materials with non-trivial +topological order. Although the atomic spin-orbit coupling in carbon is weak, +the spin-orbit coupling in carbon nanotubes can be significant due to their +curved surface. Previous works have reported spin-orbit couplings in reasonable +agreement with theory, and this coupling strength has formed the basis of a +large number of theoretical proposals. Here we report a spin-orbit coupling in +three carbon nanotube devices that is an order of magnitude larger than +measured before. We find a zero-field spin splitting of up to 3.4 meV, +corresponding to a built-in effective magnetic field of 29 T aligned along the +nanotube axis. While the origin of the large spin-orbit coupling is not +explained by existing theories, its strength is promising for applications of +the spin-orbit interaction in carbon nanotubes devices.",1304.3234v1 +2020-02-18,Majorana-like localized spin density without bound states in topologically trivial spin-orbit coupled nanowires,"In the topological phase of spin-orbit coupled nanowires Majorana bound +states are known to localize at the nanowire edges and to exhibit a spin +density orthogonal to both the magnetic field and the spin-orbit field. By +investigating a nanowire exposed to a uniform magnetic field with an interface +between regions with different spin-orbit couplings, we find that the +orthogonal spin density is pinned at the interface even when both interface +sides are in the topologically trivial phase, and even when no bound state is +present at all. A trivial bound state may additionally appear at the interface, +especially if the spin-orbit coupling takes opposite signs across the +interface. However, it can be destroyed by a smoothening of the spin-orbit +profile or by a magnetic field component parallel to the spin-orbit field. In +contrast, the orthogonal spin density persists in various and realistic +parameter ranges. We also show that, while the measurement of bulk equilibrium +spin currents has been elusive so far, such robust orthogonal spin density peak +may provide a way to detect spin current variations across interfaces.",2002.07779v2 +2014-11-12,Fermi Gases with Synthetic Spin-Orbit Coupling,"We briefly review recent progress on ultracold atomic Fermi gases with +different types of synthetic spin-orbit coupling, including the one-dimensional +(1D) equal weight Rashba-Dresselhaus and two-dimensional (2D) Rasbha spin-orbit +couplings. Theoretically, we show how the single-body, two-body and many-body +properties of Fermi gases are dramatically changed by spin-orbit coupling. In +particular, the interplay between spin-orbit coupling and interatomic +interaction may lead to several long-sought exotic superfluid phases at low +temperatures, such as anisotropic superfluid, topological superfluid and +inhomogeneous superfluid. Experimentally, only the first type - equal weight +combination of Rasbha and Dresselhaus spin-orbit couplings - has been realized +very recently using a two-photon Raman process. We show how to characterize a +normal spin-orbit coupled atomic Fermi gas in both non-interacting and +strongly-interacting limits, using particularly momentum-resolved +radio-frequency spectroscopy. The experimental demonstration of a +strongly-interacting spin-orbit coupled Fermi gas opens a promising way to +observe various exotic superfluid phases in the near future.",1411.3043v1 +2024-01-19,Extremely strong spin-orbit coupling effect in light element altermagnetic materials,"Spin-orbit coupling is a key to realize many novel physical effects in +condensed matter physics, but the mechanism to achieve strong spin-orbit +coupling effect in light element antiferromagnetic compounds has not been +explored. In this work, based on symmetry analysis and the first-principles +electronic structure calculations, we demonstrate that strong spin-orbit +coupling effect can be realized in light element altermagnetic materials, and +propose a mechanism for realizing the corresponding effective spin-orbit +coupling. This mechanism reveals the cooperative effect of crystal symmetry, +electron occupation, electronegativity, electron correlation, and intrinsic +spin-orbit coupling. Our work not only promotes the understanding of light +element compounds with strong spin-orbit coupling effect, but also provides an +alternative for realizing light element compounds with an effective strong +spin-orbit coupling.",2401.11065v1 +2012-11-09,Spin-orbit Coupled Bose-Einstein Condensates in Spin-dependent Optical Lattices,"We investigate the ground-state properties of spin-orbit coupled +Bose-Einstein condensates in spin-dependent optical lattices. The competition +between the spin-orbit coupling strength and the depth of the optical lattice +leads to a rich phase diagram. Without spin-orbit coupling, the spin-dependent +optical lattices separate the condensates into alternating spin domains with +opposite magnetization directions. With relatively weak spin-orbit coupling, +the spin domain wall is dramatically changed from N\'{e}el wall to Bloch wall. +For sufficiently strong spin-orbit coupling, vortex chains and antivortex +chains are excited in the spin-up and spin-down domains respectively, +corresponding to the formation of a lattice composed of meron-pairs and +antimeron-pairs in the pseudospin representation. We also discuss how to +observe these phenomena in real experiments.",1211.2097v3 +2015-04-11,Collapse of spin-orbit coupled Bose-Einstein condensates,"A finite-size quasi two-dimensional Bose-Einstein condensate collapses if the +attraction between atoms is sufficiently strong. Here we present a theory of +collapse for condensates with the interatomic attraction and spin-orbit +coupling. We consider two realizations of spin-orbit coupling: the axial Rashba +coupling and balanced, effectively one-dimensional, Rashba-Dresselhaus one. In +both cases spin-dependent ""anomalous"" velocity, proportional to the spin-orbit +coupling strength, plays a crucial role. For the Rashba coupling, this velocity +forms a centrifugal component in the density flux opposite to that arising due +to the attraction between particles and prevents the collapse at a sufficiently +strong coupling. For the balanced Rashba-Dresselhaus coupling, the +spin-dependent velocity can spatially split the initial state in one dimension +and form spin-projected wavepackets, reducing the total condensate density. +Depending on the spin-orbit coupling strength, interatomic attraction, and the +initial state, this splitting either prevents the collapse or modifies the +collapse process. These results show that the collapse can be controlled by a +spin-orbit coupling, thus, extending the domain of existence of condensates of +attracting atoms.",1504.02860v1 +2015-05-16,Dynamics of a macroscopic spin qubit in spin-orbit coupled Bose-Einstein condensates,"We consider a macroscopic spin qubit based on spin-orbit coupled +Bose-Einstein condensates, where, in addition to the spin-orbit coupling, spin +dynamics strongly depends on the interaction between particles. The evolution +of the spin for freely expanding, trapped, and externally driven condensates is +investigated. For condensates oscillating at the frequency corresponding to the +Zeeman splitting in the synthetic magnetic field, the spin Rabi frequency does +not depend on the interaction between the atoms since it produces only internal +forces and does not change the total momentum. However, interactions and +spin-orbit coupling bring the system into a mixed spin state, where the total +spin is inside rather than on the Bloch sphere. This greatly extends the +available spin space making it three-dimensional, but imposes limitations on +the reliable spin manipulation of such a macroscopic qubit. The spin dynamics +can be modified by introducing suitable spin-dependent initial phases, +determined by the spin-orbit coupling, in the spinor wave function.",1505.04301v1 +2005-07-01,Spin-orbit coupling and spin transport,"Recent achievements in semiconductor spintronics are discussed. Special +attention is paid to spin-orbit interaction, coupling of electron spins to +external electric fields, and spin transport in media with spin-orbit coupling, +including the mechanisms of spin-Hall effect. Importance of spin-transport +parameters at spin-precession wave vector $k_{\rm so}$ is emphasized, and +existence of an universal relation between spin currents and spin accumulation +at the spatial scale of $\ell_{\rm so}\approx k_{\rm so}^{-1}$ is conjectured.",0507007v2 +2015-05-14,Spatiotemporal spin fluctuations caused by spin-orbit-coupled Brownian motion,"We develop a theory of thermal fluctuations of spin density emerging in a +two-dimensional electron gas. The spin fluctuations probed at spatially +separated spots of the sample are correlated due to Brownian motion of +electrons and spin-obit coupling. We calculate the spatiotemporal correlation +functions of the spin density for both ballistic and diffusive transport of +electrons and analyze them for different types of spin-orbit interaction +including the isotropic Rashba model and persistent spin helix regime. The +measurement of spatial spin fluctuations provides direct access to the +parameters of spin-orbit coupling and spin transport in conditions close to the +thermal equilibrium.",1505.03826v1 +2022-07-13,Jahn-Teller states mixed by spin-orbit coupling in an electromagnetic field,"Spin-orbit coupling plays a pivotal role in condensed matter physics. For +instance, spin-orbit interactions affect the magnetization and transport +dynamics in solids, while spins and momenta are locked in topological matter. +Alternatively, spin-orbit entanglement may play an important role in exotic +phenomena, like quantum spin liquids in 4d and 5d systems. An interesting +question is how electronic states mixed by spin orbit coupling interact with +electromagnetic fields, which may hold potential to tune their properties and +reveal interesting physics. Motivated by our recent discovery of large +gyrotropic signals in some Jahn-Teller manganites, here we explore the +interaction of light with spin-mixed states in a d4 transition metal. We show +that spin-orbit mixing enables electronic transitions that are sensitive to +circularly polarized light, giving rise to a gyrotropic response that increases +with spin-orbit coupling. Interestingly, photoexcited transitions that involve +spin reversal are behind such gyrotropic resonances. Additionally, we find that +the interaction with the electromagnetic field depends strongly on the relative +orientation of the propagation of light with respect to Jahn-Teller distortions +and spin quantization. We suggest that such interactions offer the opportunity +to use electromagnetic waves at optical wavelengths to entangle orbital and +spin degrees of freedom. Our approach, which includes a group-theoretical +treatment of spin-orbit coupling, has wide applicability and provides a +versatile tool to explore the interaction of electromagnetic fields with +electronic states in transition metals with arbitrary spin-orbit coupling +strength and pointgroup symmetries.",2207.06501v1 +2016-06-27,Nonreciprocal Transverse Photonic Spin and Magnetization-Induced Electromagnetic Spin-Orbit Coupling,"A study of nonreciprocal transverse-spin angular-momentum-density shifts for +evanescent waves in magneto-optic waveguide media is presented. Their +functional relation to electromagnetic spin- and orbital-momenta is presented +and analyzed. It is shown that the magneto-optic gyrotropy can be +re-interpreted as the nonreciprocal electromagnetic spin-density shift per unit +energy flux, thus providing an interesting alternative physical picture for the +magneto-optic gyrotropy. The transverse spin-density shift is found to be +thickness-dependent in slab optical waveguides. This dependence is traceable to +the admixture of minority helicity components in the transverse spin angular +momentum. It is also shown that the transverse spin is magnetically tunable. A +formulation of electromagnetic spin-orbit coupling in magneto-optic media is +presented, and an alternative source of spin-orbit coupling to non-paraxial +optics vortices is proposed. It is shown that magnetization-induced +electromagnetic spin-orbit coupling is possible, and that it leads to spin to +orbital angular momentum conversion in magneto-optic media evanescent waves.",1606.08334v2 +2022-06-10,Quantum heat engine based on a spin-orbit and Zeeman-coupled Bose-Einstein condensate,"We explore the potential of a spin-orbit coupled Bose-Einstein condensate for +thermodynamic cycles. For this purpose we propose a quantum heat engine based +on a condensate with spin-orbit and Zeeman coupling as a working medium. The +cooling and heating are simulated by contacts of the condensate with an +external magnetized media and demagnetized media. We examine the condensate +ground state energy and its dependence on the strength of the synthetic +spin-orbit and Zeeman couplings and interatomic interaction. Then we study the +efficiency of the proposed engine. The cycle has a critical value of spin-orbit +coupling related to the engine maximum efficiency.",2206.05041v1 +2005-06-23,Spin properties of single electron states in coupled quantum dots,"Spin properties of single electron states in laterally coupled quantum dots +in the presence of a perpendicular magnetic field are studied by exact +numerical diagonalization. Dresselhaus (linear and cubic) and Bychkov-Rashba +spin-orbit couplings are included in a realistic model of confined dots based +on GaAs. Group theoretical classification of quantum states with and without +spin orbit coupling is provided. Spin-orbit effects on the g-factor are rather +weak. It is shown that the frequency of coherent oscillations (tunneling +amplitude) in coupled dots is largely unaffected by spin-orbit effects due to +symmetry requirements. The leading contributions to the frequency involves the +cubic term of the Dresselhaus coupling. Spin-orbit coupling in the presence of +magnetic field leads to a spin-dependent tunneling amplitude, and thus to the +possibility of spin to charge conversion, namely spatial separation of spin by +coherent oscillations in a uniform magnetic field. It is also shown that spin +hot spots exist in coupled GaAs dots already at moderate magnetic fields, and +that spin hot spots at zero magnetic field are due to the cubic Dresselhaus +term only.",0506610v1 +2012-11-05,Spin-orbital Texture in Topological Insulators,"Relativistic spin-orbit coupling plays an essential role in the field of +topological insulators and quantum spintronics. It gives rise to the +topological non-trivial band structure and enables electric manipulation of the +spin degree of freedom. Because of the spin-orbit coupling, rich spin-orbital +coupled textures can exist both in momentum and in real space. For three +dimensional topological insulators in the Bi$_2$Se$_3$ family, topological +surface states with p$_z$ orbitals have a left-handed spin texture for the +upper Dirac cone and a right-handed spin texture for the lower Dirac cone. In +this work, we predict a new form of the spin-orbital texture associated with +the p$_x$ and p$_y$ orbitals. For the upper Dirac cone, a left-handed +(right-handed) spin texture is coupled to the ""radial"" (""tangential"") orbital +texture, whereas for the lower Dirac cone, the coupling of spin and orbital +textures is the exact opposite. The ""tangential"" (""radial"") orbital texture is +dominant for the upper (lower) Dirac cone, leading to the right-handed spin +texture for the in-plane orbitals of both the upper and lower Dirac cones. A +spin-resovled and photon polarized angle-resolved photoemission spectroscopy +experiment is proposed to observe this novel spin-orbital texture.",1211.0762v1 +2012-06-14,Magnetic ordering phenomena of interacting quantum spin Hall models,"The two-dimensional Hubbard model defined for topological band structures +exhibiting a quantum spin Hall effect poses fundamental challenges in terms of +phenomenological characterization and microscopic classification. In the limit +of infinite coupling U at half filling, the spin model Hamiltonians resulting +from a strong coupling expansion show various forms of magnetic ordering +phenomena depending on the underlying spin-orbit coupling terms. We investigate +the infinite U limit of the Kane-Mele Hubbard model with z-axis intrinsic +spin-orbit coupling as well as its generalization to a generically +multi-directional spin orbit term which has been claimed to account for the +physical scenario in monolayer Na2IrO3. We find that the axial spin symmetry +which is kept in the former but broken in the latter has a fundamental impact +on the magnetic phase diagram as we vary the spin orbit coupling strength. +While the Kane-Mele spin model shows a continuous evolution from conventional +honeycomb Neel to XY antiferromagnetism which avoids the frustration imposed by +the increased spin-orbit coupling, the multi-directional spin-orbit term +induces a commensurate to incommensurate transition at intermediate coupling +strength, and yields a complex spiral state with a 72 site unit cell in the +limit of infinite spin-orbit coupling. From our findings, we conjecture that in +the case of broken axial spin symmetry there is a large propensity for an +additional phase at sufficiently large spin-orbit coupling and intermediate U.",1206.3103v2 +2010-12-27,The multi-state CASPT2 spin-orbit method,"We propose the multi-state complete-active-space second-order perturbation +theory spin-orbit method (MS-CASPT2-SO) for electronic structure calculations. +It is a two-step spin-orbit coupling method that does not make use of energy +shifts and that intrinsically guarantees the correct characters of the small +space wave functions that are used to calculate the spin-orbit couplings, in +contrast with previous two-step methods.",1012.5572v1 +2011-06-21,Effective one body Hamiltonian of two spinning black-holes with next-to-next-to-leading order spin-orbit coupling,"Building on the recently computed next-to-next-to-leading order (NNLO) +post-Newtonian (PN) spin-orbit Hamiltonian for spinning binaries +\cite{Hartung:2011te} we extend the effective-one-body (EOB) description of the +dynamics of two spinning black-holes to NNLO in the spin-orbit interaction. The +calculation that is presented extends to NNLO the next-to-leading order (NLO) +spin-orbit Hamiltonian computed in Ref. \cite{Damour:2008qf}. The present EOB +Hamiltonian reproduces the spin-orbit coupling through NNLO in the +test-particle limit case. In addition, in the case of spins parallel or +antiparallel to the orbital angular momentum, when circular orbits exist, we +find that the inclusion of NNLO spin-orbit terms moderates the effect of the +NLO spin-orbit coupling.",1106.4349v3 +2014-07-13,Orbital angular momentum driven intrinsic spin Hall effect,"We propose a mechanism of intrinsic spin Hall effect (SHE). In this +mechanism, local orbital angular momentum (OAM) induces electron position shift +and couples with the bias electric field to generate orbital Hall effect (OHE). +SHE then emerges as a concomitant effect of OHE through the atomic spin-orbit +coupling. Spin Hall conductivity due to this mechanism is estimated to be +comparable to experimental values for heavy metals. This mechanism predicts the +sign change of the spin Hall conductivity as the spin-orbit polarization +changes its sign, and also correlation between the spin Hall conductivity and +the splitting of the Rashba-type spin splitting at surfaces.",1407.3446v1 +2010-04-08,Spin-charge and spin-orbital coupling effects on spin dynamics in ferromagnetic manganites,"Correlation-induced spin-charge and spin-orbital coupling effects on spin +dynamics in ferromagnetic manganites are calculated with realistic parameters +in order to provide a quantitative comparison with experimental results for +spin stiffness, magnon dispersion, magnon damping, anomalous zone-boundary +magnon softening, and Curie temperature. The role of orbital degeneracy, +orbital ordering, and orbital correlations on spin dynamics in different doping +regimes is highlighted.",1004.1352v2 +2016-07-29,Twisted spin vortices in a spinor-dipolar Bose-Einstein condensate with Rashba spin-orbit coupling,"We consider a spin-1 Bose-Einstein condensate with Rashba spin-orbit coupling +and dipole-dipole interaction confined in a cigar-shaped trap. Due to the +combined effects of spin-orbit coupling, dipole-dipole interaction, and trap +geometry, the system exhibits a rich variety of ground-state spin structures, +including twisted spin vortices. The ground-state phase diagram is determined +with respect to the strengths of the spin-orbit coupling and dipole-dipole +interaction.",1607.08724v1 +2021-06-09,Chiral control of quantum states in non-Hermitian spin-orbit-coupled fermions,"Spin-orbit coupling is an essential mechanism underlying quantum phenomena +such as the spin Hall effect and topological insulators. It has been widely +studied in well-isolated Hermitian systems, but much less is known about the +role dissipation plays in spin-orbit-coupled systems. Here, we implement +dissipative spin-orbit-coupled bands filled with ultracold fermions, and +observe parity-time symmetry breaking as a result of the competition between +the spin-orbit coupling and dissipation. Tunable dissipation, introduced by +state-selective atom loss, enables us to tune the energy gap and close it at +the critical dissipation value, the so-called exceptional point. In the +vicinity of the critical point, the state evolution exhibits a chiral response, +which enables us to tune the spin-orbit coupling and dissipation dynamically, +revealing topologically robust chiral spin transfer when the quantum state +encircles the exceptional point. This demonstrates that we can explore +non-Hermitian topological states with spin-orbit coupling.",2106.04874v2 +2013-10-15,Vanishing of interband light absorption in a persistent spin helix state,"Spin-orbit coupling plays an important role in various properties of very +different materials. Moreover efforts are underway to control the degree and +quality of spin-orbit coupling in materials with a concomitant control of +transport properties. We calculate the frequency dependent optical conductivity +in systems with both Rashba and Dresselhaus spin-orbit coupling. We find that +when the linear Dresselhaus spin-orbit coupling is tuned to be equal to the +Rashba spin-orbit coupling, the interband optical conductivity disappears. This +is taken to be the signature of the recovery of SU(2) symmetry. The presence of +the cubic Dresselhaus spin-orbit coupling modifies the dispersion relation of +the charge carriers and the velocity operator. Thus the conductivity is +modified, but the interband contribution remains suppressed at most but not all +photon energies for a cubic coupling of reasonable magnitude. Hence, such a +measurement can serve as a diagnostic probe of engineered spin-orbit coupling.",1310.3916v1 +2010-07-28,Current-induced torques in the presence of spin-orbit coupling,"In systems with strong spin-orbit coupling, the relationship between +spin-transfer torque and the divergence of the spin current is generalized to a +relation between spin transfer torques, total angular momentum current, and +mechanical torques. In ferromagnetic semiconductors, where the spin-orbit +coupling is large, these considerations modify the behavior of the spin +transfer torques. One example is a persistent spin transfer torque in a spin +valve: the spin transfer torque does not decay away from the interface, but +approaches a constant value. A second example is a mechanical torque at single +ferromagnetic-nonmagnetic interface.",1007.5037v1 +2021-02-10,Suppression of effective spin-orbit coupling by thermal fluctuations in spin-orbit coupled antiferromagnets,"We apply the finite-temperature variational cluster approach to a strongly +correlated and spin-orbit coupled model for four electrons (i.e. two holes) in +the $t_{2g}$ subshell. We focus on parameters suitable for antiferromagnetic +Mott insulators, in particular Ca$_2$RuO$_4$, and identify a crossover from the +low-temperature regime, where spin-orbit coupling is essential, to the +high-temperature regime where it leaves few signatures. The crossover is seen +in one-particle spectra, where $xz$ and $yz$ spectra are almost one dimensional +(as expected for weak spin-orbit coupling) at high temperature. At lower +temperature, where spin-orbit coupling mixes all three orbitals, they become +more two dimensional. However, stronger effects are seen in two-particle +observables like the weight in states with definite onsite angular momentum. We +thus identify the enigmatic intermediate-temperature 'orbital-order phase +transition', which has been reported in various X-ray diffraction and +absorption experiments at $T\approx 260\;K$, as the signature of the onset of +spin-orbital correlations.",2102.05489v1 +2016-04-20,Second post-Newtonian Lagrangian dynamics of spinning compact binaries,"The leading-order spin-orbit coupling is included in a post-Newtonian +Lagrangian formulation of spinning compact binaries, which consists of the +Newtonian term, first post-Newtonian (1PN) and 2PN non-spin terms and 2PN +spin-spin coupling. This makes a 3PN spin-spin coupling occur in the derived +Hamiltonian. The spin-spin couplings are mainly responsible for chaos in the +Hamiltonians. However, the 3PN spin-spin Hamiltonian is small and has different +signs, compared with the 2PN spin-spin Hamiltonian equivalent to the 2PN +spin-spin Lagrangian. As a result, the probability of the occurrence of chaos +in the Lagrangian formulation without the spin-orbit coupling is larger than +that in the Lagrangian formulation with the spin-orbit coupling. Numerical +evidences support the claim.",1604.05810v2 +2001-09-13,Formation of energy gap in higher dimensional spin-orbital liquids,"A Schwinger boson mean field theory is developed for spin liquids in a +symmetric spin-orbital model in higher dimensions. Spin, orbital and coupled +spin-orbital operators are treated equally. We evaluate the dynamic correlation +functions and collective excitations spectra. As the collective excitations +have a finite energy gap, we conclude that the ground state is a spin-orbital +liquid with a two-fold degeneracy, which breaks the discrete spin-orbital +symmetry. Possible relevence of this spin liquid state to several realistic +systems, such as CaV$_4$V$_9$ and Na$_2$Sb$_2$Ti$_2$O, are discussed.",0109234v1 +2018-09-20,Multiple-$Q$ magnetic orders in Rashba-Dresselhaus metals,"We study magnetic textures realized in noncentrosymmetric Kondo lattice +models, in which localized magnetic moments weakly interact with itinerant +electrons subject to Rashba and Dresselhaus spin-orbit couplings. By virtue of +state-of-the-art numerical simulations as well as variational calculations, we +uncover versatile multiple-$Q$ orderings under zero magnetic field, which are +found to originate in the instabilities of the Fermi surface whose spin +degeneracy is lifted by the spin-orbit couplings. In the case with +equally-strong Rashba and Dresselhaus spin-orbit couplings, which is known to +realize a persistent spin helix in semiconductor quantum wells, we discover a +sextuple-$Q$ magnetic ordering with a checkerboard-like spatial pattern of the +spin scalar chirality. In the presence of either Rashba or Dresselhaus +spin-orbit coupling, we find out another multiple-$Q$ ordering, which is +distinct from Skyrmion crystals discussed under the same symmetry. Our results +indicate that the cooperation of the spin-charge and spin-orbit couplings +brings about richer magnetic textures than those studied within effective spin +models. The situations would be experimentally realized, e.g., in +noncentrosymmetric heavy-fermion compounds and heterostructures of spin-orbit +coupled metals and magnetic insulators.",1809.07582v1 +2007-01-11,Some exact identities connecting one- and two-particle Green's functions in spin-orbit coupling systems,"Some exact identities connecting the one- and two-particle Green's functions +in the presence of spin-orbit coupling have been derived. These identities is +similar to the usual Ward identity in the particle or charge transport theory +and a satisfying spin transport theory in spin-orbit coupling system should +also preserve these identities.",0701227v1 +2015-07-25,Quantum entanglement in the one-dimensional spin-orbital SU(2)$\otimes XXZ$ model,"We investigate the phase diagram and the spin-orbital entanglement of a +one-dimensional SU(2)$\otimes XXZ$ model with SU(2) spin exchange and +anisotropic $XXZ$ orbital exchange interactions and negative exchange coupling. +As a unique feature, the spin-orbital entanglement entropy in the entangled +ground states increases here linearly with system size. In the case of Ising +orbital interactions we identify an emergent phase with long-range spin-singlet +dimer correlations triggered by a quadrupling of correlations in the orbital +sector. The peculiar translational invariant spin-singlet dimer phase has +finite von Neumann entanglement entropy and survives when orbital quantum +fluctuations are included. It even persists in the isotropic +SU(2)$\otimes$SU(2) limit. Surprisingly, for finite transverse orbital coupling +the long-range spin singlet correlations also coexist in the antiferromagnetic +spin and alternating orbital phase making this phase also unconventional. +Moreover we also find a complementary orbital singlet phase that exists in the +isotropic case but does not extend to the Ising limit. The nature of +entanglement appears essentially different from that found in the frequently +discussed model with positive coupling. Furthermore we investigate the +collective spin and orbital wave excitations of the disentangled +ferromagnetic-spin/ferro-orbital ground state and explore the continuum of +spin-orbital excitations. Interestingly one finds among the latter excitations +two modes of exciton bound states. Their spin-orbital correlations differ from +the remaining continuum states and exhibit logarithmic scaling of the von +Neumann entropy with increasing system size.",1507.07103v1 +2015-11-16,Drude weight and optical conductivity of a two-dimensional heavy-hole gas with $k$-cubic spin-orbit interactions,"We present detailed theoretical study on zero-frequency Drude weight and +optical conductivity of a two-dimensional heavy-hole gas(2DHG) with $k$-cubic +Rashba and Dresselhaus spin-orbit interactions. The presence of $k$-cubic +spin-orbit couplings strongly modifies the Drude weight in comparison to the +electron gas with $k$-linear spin-orbit couplings. For large hole density and +strong $k$-cubic spin-orbit couplings, the density dependence of Drude weight +deviates from the linear behavior. We establish a relation between optical +conductivity and the Berry connection. Unlike two-dimensional electron gas with +$k$-linear spin-orbit couplings, we explicitly show that the optical +conductivity does not vanish even for equal strength of the two spin-orbit +couplings. We attribute this fact to the non-zero Berry phase for equal +strength of $k$-cubic spin-orbit couplings. The least photon energy needed to +set in the optical transition in hole gas is one order of magnitude smaller +than that of electron gas. Types of two van Hove singularities appear in the +optical spectrum are also discussed.",1511.04917v3 +2017-04-03,Inverse spin galvanic effect in the presence of impurity spin-orbit scattering: a diagrammatic approach,"Spin-charge interconversion is currently the focus of intensive experimental +and theoretical research both for its intrinsic interest and for its potential +exploitation in the realization of new spintronic functionalities. Spin-orbit +coupling is one of the key microscopic mechanisms to couple charge currents and +spin polarizations. The Rashba spin-orbit coupling in a two-dimensional +electron gas has been shown to give rise to the inverse spin galvanic effect, +i.e. the generation of a non-equilibrium spin polarization by a charge current. +Whereas the Rashba model may be applied to the interpretation of experimental +results in many cases, in general in a given real physical system spin-orbit +coupling also occurs due other mechanisms such as Dresselhaus bulk inversion +asymmetry and scattering from impurities. In this work we consider the inverse +spin galvanic effect in the presence of Rashba, Dresselhaus and impurity +spin-orbit scattering. We find that the size and form of the inverse spin +galvanic effect is greatly modified by the presence of the various sources of +spin-orbit coupling. Indeed, spin-orbit coupling affects the spin relaxation +time by adding the Elliott-Yafet mechanism to the Dyakonov-Perel and, +furthermore, it changes the non-equilibrium value of the current-induced spin +polarization by introducing a new spin generation torque. We use a diagrammatic +Kubo formula approach to evaluate the spin polarization-charge current response +function. We finally comment about the relevance of our results for the +interpretation of experimental results.",1704.00532v1 +2010-03-08,Spin-orbit coupling in a graphene bilayer and in graphite,"The intrinsic spin-orbit interactions in bilayer graphene and in graphite are +studied, using a tight binding model, and an intraatomic LS coupling. The +spin-orbit interactions in bilayer graphene and graphite are larger, by about +one order of magnitude, than the interactions in single layer graphene, due to +the mixing of pi and sigma bands by interlayer hopping. Their value is in the +range 0.1 - 1K. The spin-orbit coupling opens a gap in bilayer graphene, and it +also gives rise to two edge modes. The spin-orbit couplings are largest, 1-4K, +in orthorhombic graphite, which does not have a center of inversion.",1003.1618v1 +2022-02-28,Observation of long-range orbital transport and giant orbital torque,"Modern spintronics relies on the generation of spin currents through +spin-orbit coupling. The spin-current generation has been believed to be +triggered by current-induced orbital dynamics, which governs the angular +momentum transfer from the lattice to the electrons in solids. The fundamental +role of the orbital response in the angular momentum dynamics suggests the +importance of the orbital counterpart of spin currents: orbital currents. +However, evidence for its existence has been elusive. Here, we demonstrate the +generation of giant orbital currents and uncover fundamental features of the +orbital response. We experimentally and theoretically show that orbital +currents propagate over longer distances than spin currents by more than an +order of magnitude in a ferromagnet and nonmagnets. Furthermore, we find that +the orbital current enables electric manipulation of magnetization with +efficiencies significantly higher than the spin counterpart. These findings +open the door to orbitronics that exploits orbital transport and spin-orbital +coupled dynamics in solid-state devices.",2202.13896v2 +2005-01-09,Electron Spin Dynamics in Impure Quantum Wells for Arbitrary Spin-Orbit Coupling,"Strong interest has arisen recently on low-dimensional systems with strong +spin-orbit interaction due to their peculiar properties of interest for some +spintronic applications. Here, the time evolution of the electron spin +polarization of a disordered two-dimensional electron gas is calculated exactly +within the Boltzmann formalism for arbitrary couplings to a Rashba spin-orbit +field. The classical Dyakonov-Perel mechanism of spin relaxation is shown to +fail for sufficiently strong Rashba fields, in which case new regimes of spin +decay are identified. These results suggest that spin manipulation can be +greatly improved in strong spin-orbit interaction materials.",0501174v3 +2007-09-21,Spin-orbit mediated anisotropic spin interaction in interacting electron systems,"We investigate interactions between spins of strongly correlated electrons +subject to the spin-orbit interaction. Our main finding is that of a novel, +spin-orbit mediated anisotropic spin-spin coupling of the van der Waals type. +Unlike the standard exchange, this interaction does not require the wave +functions to overlap. We argue that this ferromagnetic interaction is important +in the Wigner crystal state where the exchange processes are severely +suppressed. We also comment on the anisotropy of the exchange between spins +mediated by the spin-orbital coupling.",0709.3521v2 +2012-03-06,Short-range correlations in dilute atomic Fermi gases with spin-orbit coupling,"We study the short-range correlation strength of three dimensional spin half +dilute atomic Fermi gases with spin-orbit coupling. The interatomic interaction +is modeled by the contact pseudopotential. In the high temperature limit, we +derive the expression for the second order virial expansion of the +thermodynamic potential via the ladder diagrams. We further evaluate the second +order virial expansion in the limit that the spin-orbit coupling constants are +small, and find that the correlation strength between the fermions increases as +the forth power of the spin-orbit coupling constants. At zero temperature, we +consider the cases in which there are symmetric spin-orbit couplings in two or +three directions. In such cases, there is always a two-body bound state of zero +net momentum. In the limit that the average interparticle distance is much +larger than the dimension of the two-body bound state, the system primarily +consists of condensed bosonic molecules that fermions pair to form; we find +that the correlation strength also becomes bigger compared to that in the +absence of spin-orbit coupling. Our results indicate that generic spin-orbit +coupling enhances the short-range correlations of the Fermi gases. Measurement +of such enhancement by photoassociation experiment is also discussed.",1203.1159v1 +2018-02-01,Spin Seebeck effect and thermal spin galvanic effect in Ni80Fe20/p-Si bilayers,"The development of spintronics and spin-caloritronics devices need efficient +generation, detection and manipulation of spin current. The thermal spin +current from spin-Seebeck effect has been reported to be more energy efficient +than the electrical spin injection methods. But, spin detection has been the +one of the bottlenecks since metals with large spin-orbit coupling is an +essential requirement. In this work, we report an efficient thermal generation +and interfacial detection of spin current. We measured a spin-Seebeck effect in +Ni80Fe20 (25 nm)/p-Si (50 nm) (polycrystalline) bilayers without heavy metal +spin detector. The p-Si, having the centosymmetric crystal structure, has +insignificant intrinsic spin-orbit coupling leading to negligible spin-charge +conversion. We report a giant inverse spin-Hall effect, essential for detection +of spin-Seebeck effect, in the Ni80Fe20/p-Si bilayer structure, which +originates from Rashba spin orbit coupling due to structure inversion asymmetry +at the interface. In addition, the thermal spin pumping in p-Si leads to spin +current from p-Si to Ni80Fe20 layer due to thermal spin galvanic effect and +spin-Hall effect causing spin-orbit torques. The thermal spin-orbit torques +leads to collapse of magnetic hysteresis of 25 nm thick Ni80Fe20 layer. The +thermal spin-orbit torques can be used for efficient magnetic switching for +memory applications. These scientific breakthroughs may give impetus to the +silicon spintronics and spin-caloritronics devices.",1802.00132v1 +2017-03-18,Spin-orbit scattering visualized in quasiparticle interference,"In the presence of spin-orbit coupling, electron scattering off impurities +depends on both spin and orbital angular momentum of electrons -- spin-orbit +scattering. Although some transport properties are subject to spin-orbit +scattering, experimental techniques directly accessible to this effect are +limited. Here we show that a signature of spin-orbit scattering manifests +itself in quasiparticle interference (QPI) imaged by spectroscopic-imaging +scanning tunneling microscopy. The experimental data of a polar semiconductor +BiTeI are well reproduced by numerical simulations with the $T$-matrix +formalism that include not only scalar scattering normally adopted but also +spin-orbit scattering stronger than scalar scattering. To accelerate the +simulations, we extend the standard efficient method of QPI calculation for +momentum-independent scattering to be applicable even for spin-orbit +scattering. We further identify a selection rule that makes spin-orbit +scattering visible in the QPI pattern. These results demonstrate that +spin-orbit scattering can exert predominant influence on QPI patterns and thus +suggest that QPI measurement is available to detect spin-orbit scattering.",1703.06234v1 +2011-11-17,Intrinsic Spin Swapping,"Here, we study diffusive spin transport in two dimensions and demonstrate +that an intrinsic analog to a previously predicted extrinsic spin swapping +effect, where the spin polarization and the direction of flow are interchanged +due to spin-orbit coupling at extrinsic impurities, can be induced by intrinsic +(Rashba) spin-orbit coupling. The resulting accumulation of intrinsically +spin-swapped polarizations is shown to be much larger than for the extrinsic +effect. Intrinsic spin swapping is particularly strong when the system +dimensions exceed the spin-orbit precession length and the generated transverse +spin currents are of the order of the injected primary spin currents. In +contrast, spin accumulations and spin currents caused by extrinsic spin +swapping are proportional to the spin-orbit coupling. We present numerical and +analytical results for the secondary spin currents and accumulations generated +by intrinsic spin swapping, and we derive analytic expressions for the induced +spin accumulation at the edges of a narrow strip, where a long-range +propagation of spin polarizations takes place.",1111.4072v2 +2017-10-09,Tunable superconducting critical temperature in ballistic hybrid structures with strong spin-orbit coupling,"We present a theoretical description and numerical simulations of the +superconducting transition in hybrid structures including strong spin-orbit +interactions. The spin-orbit coupling is taken to be of Rashba type for +concreteness, and we allow for an arbitrary magnitude of the spin-orbit +strength as well as an arbitrary thickness of the spin-orbit coupled layer. +This allows us to make contact with the experimentally relevant case of +enhanced interfacial spin-orbit coupling via atomically thin heavy metal +layers. We consider both interfacial spin-orbit coupling induced by inversion +asymmetry in an S/F-junction, as well as in-plane spin-orbit coupling in the +ferromagnetic region of an S/F/S- and an S/F-structure. Both the pair +amplitudes, local density of states and critical temperature show dependency on +the Rashba strength and, importantly, the orientation of the exchange field. In +general, spin-orbit coupling increases the critical temperature of a proximity +system where a magnetic field is present, and enhances the superconducting gap +in the density of states. We perform a theoretical derivation which explains +these results by the appearance of long-ranged singlet correlations. Our +results suggest that $T_c$ in ballistic spin-orbit coupled superconducting +structures may be tuned by using only a single ferromagnetic layer.",1710.03228v2 +2021-04-14,Spin-orbit gaps in the s and p orbital bands of an artificial honeycomb lattice,"Muffin-tin methods have been instrumental in the design of honeycomb lattices +that show, in contrast to graphene, separated s and in-plane p bands, a p +orbital Dirac cone, and a p orbital flat band. Recently, such lattices have +been experimentally realized using the 2D electron gas on Cu(111). A possible +next avenue is the introduction of spin-orbit coupling to these systems. +Intrinsic spin-orbit coupling is believed to open topological gaps, and create +a topological flat band. Although Rashba coupling is straightforwardly +incorporated in the muffin-tin approximation, intrinsic spin-orbit coupling has +only been included either for a very specific periodic system, or only close to +the Dirac point. Here, we introduce general intrinsic and Rashba spin-orbit +terms in the Hamiltonian for both periodic and finite-size systems. We observe +a strong band opening over the entire Brillouin zone between the p orbital flat +band and Dirac cone hosting a pronounced edge state, robust against the effects +of Rashba spin-orbit coupling.",2104.06912v1 +2007-10-15,Intersubband spin-orbit coupling and spin splitting in symmetric quantum wells,"In semiconductors with inversion asymmetry, spin-orbit coupling gives rise to +the well-known Dresselhaus and Rashba effects. If one considers quantum wells +with two or more conduction subbands, an additional, intersubband-induced +spin-orbit term appears whose strength is comparable to the Rashba coupling, +and which remains finite for symmetric structures. We show that the conduction +band spin splitting due to this intersubband spin-orbit coupling term is +negligible for typical III-V quantum wells.",0710.2866v1 +2009-02-19,Impurity induced spin-orbit coupling in graphene,"We study the effect of impurities in inducing spin-orbit coupling in +graphene. We show that the sp3 distortion induced by an impurity can lead to a +large increase in the spin-orbit coupling with a value comparable to the one +found in diamond and other zinc-blende semiconductors. The spin-flip scattering +produced by the impurity leads to spin scattering lengths of the order found in +recent experiments. Our results indicate that the spin-orbit coupling can be +controlled via the impurity coverage.",0902.3244v1 +2011-10-04,Spin-orbit-coupled dipolar Bose-Einstein condensates,"We propose an experimental scheme to create spin-orbit coupling in spin-3 Cr +atoms using Raman processes. Employing linear Zeeman effect and optical Stark +shift, two spin states within the ground electronic manifold are selected, +which results in a pseudo-spin-1/2 model. We further study the ground state +structures of a spin-orbit-coupled Cr condensate. We show that, in addition to +the stripe structures induced by the spin-orbit coupling, the magnetic +dipole-dipole interaction gives rise to the vortex phase, in which spontaneous +spin vortex is formed.",1110.0558v3 +2016-01-26,Double-Quantum Spin Vortices in SU(3) Spin-Orbit Coupled Bose Gases,"We show that double-quantum spin vortices, which are characterized by doubly +quantized circulating spin currents and unmagnetized filled cores, can exist in +the ground states of SU(3) spin-orbit coupled Bose gases. It is found that the +SU(3) spin-orbit coupling and spin-exchange interaction play important roles in +determining the ground-state phase diagram. In the case of effective +ferromagnetic spin interaction, the SU(3) spin-orbit coupling induces a +three-fold degeneracy to the magnetized ground state, while in the +antiferromagnetic spin interaction case, the SU(3) spin-orbit coupling breaks +the ordinary phase rule of spinor Bose gases, and allows the spontaneous +emergence of double-quantum spin vortices. This exotic topological defect is in +stark contrast to the singly quantized spin vortices observed in existing +experiments, and can be readily observed by the current magnetization-sensitive +phase-contrast imaging technique.",1601.06935v2 +2021-10-14,Thermalization in a Spin-Orbit coupled Bose gas by enhanced spin Coulomb drag,"An important component of the structure of the atom, the effects of +spin-orbit coupling are present in many sub-fields of physics. Most of these +effects are present continuously. We present a detailed study of the dynamics +of changing the spin-orbit coupling in an ultra-cold Bose gas, coupling the +motion of the atoms to their spin. We find that the spin-orbit coupling greatly +increases the damping towards equilibrium. We interpret this damping as spin +drag, which is enhanced by spin-orbit coupling rate, scaled by a remarkable +factor of $8.9(6)$~s. We also find that spin-orbit coupling lowers the final +temperature of the Bose gas after thermalization.",2110.07094v3 +2012-04-10,Spin-current absorption by inhomogeneous spin-orbit coupling,"We investigate the spin-current absorption induced by an inhomogeneous +spin-orbit coupling due to impurities in metals. We consider the system with +spin currents driven by the electric field or the spin accumulation. The +resulting diffusive spin currents, including the gradient of the spin-orbit +coupling strength, indicate the spin-current absorption at the interface, which +is exemplified with experimentally relevant setups.",1204.2189v2 +2014-03-19,Spin-orbit coupling effects on spin-dependent inelastic electronic lifetimes in ferromagnets,"For the 3d ferromagnets iron, cobalt and nickel we compute the spin-dependent +inelastic electronic lifetimes due to carrier-carrier Coulomb interaction +including spin-orbit coupling. We find that the spin-dependent +density-of-states at the Fermi energy does not, in general, determine the spin +dependence of the lifetimes because of the effective spin-flip transitions +allowed by the spin mixing. The majority and minority electron lifetimes +computed including spin-orbit coupling for these three 3-d ferromagnets do not +differ by more than a factor of 2, and agree with experimental results.",1403.4728v1 +2013-06-27,Meron Ground State of Rashba Spin-Orbit-Coupled Dipolar Bosons,"We study the effects of dipolar interactions on a Bose-Einstein condensate +with synthetically generated Rashba spin-orbit coupling. The dipolar +interaction we consider includes terms that couple spin and orbital angular +momentum in a way perfectly congruent with the single-particle Rashba coupling. +We show that this internal spin-orbit coupling plays a crucial role in the rich +ground-state phase diagram of the trapped condensate. In particular, we predict +the emergence of a thermodynamically stable ground state with a meron spin +configuration.",1306.6610v2 +2007-01-25,Spin-Hall effect and spin-coherent excitations in a strongly confined two-dimensional hole gas,"Based on a rigorous quantum-kinetic approach, spin-charge coupled +drift-diffusion equations are derived for a strongly confined two-dimensional +hole gas. An electric field leads to a coupling between the spin and charge +degrees of freedom. For weak spin-orbit interaction, this coupling gives rise +to the intrinsic spin-Hall effect. There exists a threshold value of the +spin-orbit coupling constant that separates spin diffusion from ballistic spin +transport. In the latter regime, undamped spin-coherent oscillations are +observed. This result is confirmed by an exact microscopic approach valid in +the ballistic regime.",0701612v1 +2020-06-05,Intrinsic and extrinsic spin-orbit coupling and spin relaxation in monolayer PtSe$_2$,"Monolayer PtSe$_2$ is a semiconducting transition metal dichalcogenide +characterized by an indirect band gap, space inversion symmetry, and high +carrier mobility. Strong intrinsic spin-orbit coupling and the possibility to +induce extrinsic spin-orbit fields by gating make PtSe$_2$ attractive for +fundamental spin transport studies as well as for potential spintronics +applications. We perform a systematic theoretical study of the spin-orbit +coupling and spin relaxation in this material. Specifically, we employ first +principles methods to obtain the basic orbital and spin-orbital properties of +PtSe$_2$, also in the presence of an external transverse electric field. We +calculate the spin mixing parameters $b^2$ and the spin-orbit fields $\Omega$ +for the Bloch states of electrons and holes. This information allows us to +predict the spin lifetimes due to the Elliott-Yafet and D'yakonov-Perel +mechanisms. We find that $b^2$ is rather large, on the order of $10^{-2}$ and +$10^{-1}$, while $\Omega$ varies strongly with doping, being about $10^{3} - +10^{4}$\,ns$^{-1}$ for %typical Fermi levels in the interval $(10-100)$ meV, +carrier density in the interval $10^{13}-10^{14}$\,cm$^{-2}$ at the electric +field of 1 V/nm. We estimate the spin lifetimes to be on the picosecond level.",2006.03384v1 +2016-11-06,Effective magnetic interactions in spin-orbit coupled $d^4$ Mott insulators,"Transition metal compounds with the $(t_{2g})^4$ electronic configuration are +expected to be nonmagnetic atomic singlets both in the weakly interacting +regime due to spin-orbit coupling, as well as in the Coulomb dominated regime +with oppositely aligned $L=1$ and $S=1$ angular momenta. However, starting with +the full multi-orbital electronic Hamiltonian, we show the low energy effective +magnetic Hamiltonian contains isotropic superexchange spin interactions but +anisotropic orbital interactions. By tuning the ratio of superexchange to +spin-orbit coupling $J_\mathrm{SE}/\lambda$, we obtain a phase transition from +nonmagnetic atomic singlets to novel magnetic phases depending on the strength +of Hund's coupling, the crystal structure and the number of active orbitals. +Spin-orbit coupling plays a non-trivial role in generating a triplon condensate +of weakly interacting excitations at antiferromagnetic ordering vector $\vec +k=\vec \pi$, regardless of whether the local spin interactions are +ferromagnetic or antiferromagnetic. In the large $J_\mathrm{SE} / \lambda$ +regime, the localized spin and orbital moments produce anisotropic orbital +interactions that are frustrated or constrained even in the absence of +geometric frustration. Orbital frustration leads to frustration in the spin +channel opening up the possibility of spin-orbital liquids with both spin and +orbital entanglement.",1611.01840v1 +2021-06-04,Efficient conversion of orbital Hall current to spin current for spin-orbit torque switching,"Spin Hall effect, an electric generation of spin current, allows for +efficient control of magnetization. Recent theory revealed that orbital Hall +effect creates orbital current, which can be much larger than spin Hall-induced +spin current. However, orbital current cannot directly exert a torque on a +ferromagnet, requiring a conversion process from orbital current to spin +current. Here, we report two effective methods of the conversion through +spin-orbit coupling engineering, which allows us to unambiguously demonstrate +orbital-current-induced spin torque, or orbital Hall torque. We find that +orbital Hall torque is greatly enhanced by introducing either a rare-earth +ferromagnet Gd or a Pt interfacial layer with strong spin-orbit coupling in +Cr/ferromagnet structures, indicating that the orbital current generated in Cr +is efficiently converted into spin current in the Gd or Pt layer. Furthermore, +we show that the orbital Hall torque can facilitate the reduction of switching +current of perpendicular magnetization in spin-orbit-torque-based spintronic +devices.",2106.02286v2 +2014-12-17,Energy spectra of two interacting fermions with spin-orbit coupling in a harmonic trap,"We explore the two-body spectra of spin-$1/2$ fermions in isotropic harmonic +traps with external spin-orbit potentials and short range two-body +interactions. Using a truncated basis of total angular momentum eigenstates, +non-perturbative results are presented for experimentally realistic forms of +the spin-orbit coupling: a pure Rashba coupling, Rashba and Dresselhaus +couplings in equal parts, and a Weyl-type coupling. The technique is easily +adapted to bosonic systems and other forms of spin-orbit coupling.",1412.5634v2 +2017-09-20,Superfluid transition temperature of spin-orbit and Rabi coupled fermions with tunable interactions,"We obtain the superfluid transition temperature of equal Rashba-Dresselhaus +spin-orbit and Rabi coupled Fermi superfluids, from the +Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensate (BEC) regimes in +three dimensions. Spin-orbit coupling enhances the critical temperature in the +BEC limit, and can convert a first order phase transition in the presence of +Rabi coupling into second order, as a function of the Rabi coupling for fixed +interactions. We derive the Ginzburg-Landau equation to sixth power in the +superfluid order parameter to describe both first and second order transitions +as a function of spin-orbit and Rabi couplings.",1709.07042v1 +2012-12-03,Normal state properties of spin-orbit coupled Fermi gases in the upper branch of energy spectrum,"We investigate normal state properties of spin-orbit coupled Fermi gases with +repulsive s-wave interaction, in the absence of molecule formation, i.e., in +the so-called ""upper branch"". Within the framework of random phase +approximation, we derive analytical expressions for the quasi-particle lifetime +$\tau_s$, the effective mass $m_s^*$, and the Green's function renormalization +factor $Z_s$ in the presence of Rashba spin-orbit coupling. In contrast to +spin-orbit coupled electron gas with Coulomb interaction, we show that the +modifications are dependent on the Rashba band index s, and occur in the first +order of the spin-orbit coupling strength. We also calculate experimental +observable such as spectral weight, density of state and specific heat, which +exhibit significant differences from their counterparts without spin-orbit +coupling. We expect our microscopic calculations of these Fermi liquid +parameters would have the immediate applications to the spin-orbit coupled +Fermi gases in the upper branch of the energy spectrum.",1212.0420v5 +2016-10-07,The Role of Interaction in the Pairing of Two Spin-orbit Coupled Fermions,"We investigate the role of a repulsive s-wave interaction in the two-body +problem in the presence of spin orbit couplings, motivated by current interests +in exploring exotic superfluid phases in spin-orbit coupled Fermi gases. For +weak spin orbit coupling where the density of states is not significantly +altered, we analytically show that the high-energy states become more important +in determining the binding energy when the interaction strength decreases. +Consequently, tuning the interaction gives rise to a rich ground state +behavior, including a zigzag of the ground state momentum or inducing +transitions among the meta-stable states. By exactly solving the two-body +problem for a spin-orbit coupled Fermi mixture, we demonstrate that our +analysis can also apply to the case when the density of states is significantly +modified by the spin-orbit coupling. Our findings pave the way for +understanding and controlling the paring of fermions in the presence of spin +orbit couplings.",1610.02927v2 +2018-07-17,Effects of spin-orbit coupling on the optical response of a material,"We investigate the effects of spin-orbit coupling on the optical response of +materials. In particular, we study the effects of the commutator between the +spin-orbit coupling part of the potential and the position operator on the +optical matrix elements. Using a formalism that separates a fullyrelativistic +Kleinman-Bylander pseudopotential into the scalar-relativistic and +spin-orbit-coupling parts, we calculate the contribution of the commutator +arising from spin-orbit coupling to the squared optical matrix elements of +isolated atoms, monolayer transition metal dichalcogenides, and topological +insulators. In the case of isolated atoms from H ($Z = 1$) to Bi ($Z = 83$), +the contribution of spin-orbit coupling to the squared matrix elements can be +as large as 14 %. On the other hand, in the cases of monolayer transition metal +dichalcogenides and topological insulators, we find that this contribution is +less than 1 % and that it is sufficient to calculate the optical matrix +elements and subsequent physical quantities without considering the commutator +arising from spin-orbit coupling.",1807.06669v1 +2011-10-31,Spin-Orbit Coupled Quantum Gases,"In this review we will discuss the experimental and theoretical progresses in +studying spin-orbit coupled degenerate atomic gases during the last two years. +We shall first review a series of pioneering experiments in generating +synthetic gauge potentials and spin-orbit coupling in atomic gases by +engineering atom-light interaction. Realization of spin-orbit coupled quantum +gases opens a new avenue in cold atom physics, and also brings out a lot of new +physical problems. In particular, the interplay between spin-orbit coupling and +inter-atomic interaction leads to many intriguing phenomena. Here, by reviewing +recent theoretical studies of both interacting bosons and fermions with +isotropic Rashba spin-orbit coupling, the key message delivered here is that +spin-orbit coupling can enhance the interaction effects, and make the +interaction effects much more dramatic even in the weakly interacting regime.",1110.6798v1 +2010-02-02,Spin-resolved scattering through spin-orbit nanostructures in graphene,"We address the problem of spin-resolved scattering through spin-orbit +nanostructures in graphene, i.e., regions of inhomogeneous spin-orbit coupling +on the nanometer scale. We discuss the phenomenon of spin-double refraction and +its consequences on the spin polarization. Specifically, we study the +transmission properties of a single and a double interface between a normal +region and a region with finite spin-orbit coupling, and analyze the +polarization properties of these systems. Moreover, for the case of a single +interface, we determine the spectrum of edge states localized at the boundary +between the two regions and study their properties.",1002.0441v2 +2014-09-19,Angular dependence of spin-orbit spin transfer torques,"In ferromagnet/heavy metal bilayers, an in-plane current gives rise to +spin-orbit spin transfer torque which is usually decomposed into field-like and +damping-like torques. For two-dimensional free-electron and tight-binding +models with Rashba spin-orbit coupling, the field-like torque acquires +nontrivial dependence on the magnetization direction when the Rashba spin-orbit +coupling becomes comparable to the exchange interaction. This nontrivial +angular dependence of the field-like torque is related to the Fermi surface +distortion, determined by the ratio of the Rashba spin-orbit coupling to the +exchange interaction. On the other hand, the damping-like torque acquires +nontrivial angular dependence when the Rashba spin-orbit coupling is comparable +to or stronger than the exchange interaction. It is related to the combined +effects of the Fermi surface distortion and the Fermi sea contribution. The +angular dependence is consistent with experimental observations and can be +important to understand magnetization dynamics induced by spin-orbit spin +transfer torques",1409.5600v1 +2006-08-18,Electric Dipole Spin Resonance for Heavy Holes in Quantum Dots,"We propose and analyze a new method for manipulation of a heavy hole spin in +a quantum dot. Due to spin-orbit coupling between states with different orbital +momenta and opposite spin orientations, an applied rf electric field induces +transitions between spin-up and spin-down states. This scheme can be used for +detection of heavy-hole spin resonance signals, for the control of the spin +dynamics in two-dimensional systems, and for determining important parameters +of heavy-holes such as the effective $g$-factor, mass, spin-orbit coupling +constants, spin relaxation and decoherence times.",0608410v1 +2007-05-25,Interplay of the Rashba and Dresselhaus spin-orbit coupling in the optical spin susceptibility of 2D electron systems,"We present calculations of the frequency-dependent spin susceptibility tensor +of a two-dimensional electron gas with competing Rashba and Dresselhaus +spin-orbit interaction. It is shown that the interplay between both types of +spin-orbit coupling gives rise to an anisotropic spectral behavior of the spin +density response function which is significantly different from that of +vanishing Rashba or Dresselhaus case. Strong resonances are developed in the +spin susceptibility as a consequence of the angular anisotropy of the energy +spin-splitting. This characteristic optical modulable response may be useful to +experimentally probe spin accumulation and spin density currents in such +systems.",0705.3849v1 +2008-07-23,Dynamics of coupled spins in quantum dots with strong spin-orbit interaction,"We investigated the time dependence of two-electron spin states in a double +quantum dot fabricated in an InAs nanowire. In this system, spin-orbit +interaction has substantial influence on the spin states of confined electrons. +Pumping single electrons through a Pauli spin-blockade configuration allowed to +probe the dynamics of the two coupled spins via their influence on the pumped +current. We observed spin-relaxation with a magnetic field dependence different +from GaAs dots, which can be explained by spin-orbit interaction. Oscillations +were detected for times shorter than the relaxation time, which we attribute to +coherent evolution of the spin states.",0807.3654v1 +2010-12-21,Spin dephasing and pumping in graphene due to random spin-orbit interaction,"We consider spin effects related to the random spin-orbit interaction in +graphene. Such a random interaction can result from the presence of ripples +and/or other inhomogeneities at the graphene surface. We show that the random +spin-orbit interaction generally reduces the spin dephasing (relaxation) time, +even if the interaction vanishes on average. Moreover, the random spin-orbit +coupling also allows for spin manipulation with an external electric field. Due +to the spin-flip interband as well as intraband optical transitions, the spin +density can be effectively generated by periodic electric field in a relatively +broad range of frequencies.",1012.4757v1 +2015-05-11,Current-induced spin polarization and spin-orbit torque in graphene,"Using the Green function formalism we calculate a current-induced spin +polarization of weakly magnetized graphene with Rashba spin-orbit interaction. +In a general case, all components of the current-induced spin polarization are +nonzero, contrary to the nonmagnetic limit, where the only nonvanishing +component of spin polarization is that in the graphene plane and normal to +electric field. When the induced spin polarization is exchange-coupled to the +magnetization, it exerts a spin-orbit torque on the latter. Using the Green +function method we have derived some analytical formulas for the spin +polarization and also determined the corresponding spin-orbit torque +components.",1505.02530v2 +2012-04-25,Spin freezing by Anderson localization in one-dimensional semiconductors,"One-dimensional quantum wires are considered as prospective elements for spin +transport and manipulation in spintronics. We study spin dynamics in +semiconductor GaAs-like nanowires with disorder and spin-orbit interaction by +using a rotation in the spin subspace gauging away the spin-orbit field. If the +disorder is sufficiently strong, the spin density after a relatively short +relaxation time reaches a plateau. This effect is a manifestation of the +Anderson localization and depends in a universal way on the disorder and the +spin-orbit coupling strength. As a result, at a given disorder, semiconductor +nanowires can permit a long-term spin polarization tunable with the spin-orbit +interactions.",1204.5597v1 +2024-01-17,Spin Orbit Torque on a Curved Surface,"We provide a general formulation of the spin-orbit coupling on a 2D curved +surface. Considering the wide applicability of spin-orbit effect in +spinor-based condensed matter physics, a general spin-orbit formulation could +aid the study of spintronics, Dirac graphene, topological systems, and quantum +information on curved surfaces. Particular attention is then devoted to the +development of an important spin-orbit quantity known as the spin-orbit torque. +As devices trend smaller in dimension, the physics of local geometries on +spin-orbit torque, hence spin and magnetic dynamics shall not be neglected. We +derived the general expression of a spin-orbit anisotropy field for the curved +surfaces and provided explicit solutions in the special contexts of the +spherical, cylindrical and flat coordinates. Our expressions allow spin-orbit +anisotropy fields and hence spin-orbit torque to be computed over the entire +surfaces of devices of any geometry.",2401.08966v1 +2014-06-10,"Weak Localization, Spin Relaxation, and Spin-Diffusion: The Crossover Between Weak and Strong Rashba Coupling Limits","Disorder scattering and spin-orbit coupling are together responsible for the +diffusion and relaxation of spin-density in time-reversal invariant systems. We +study spin-relaxation and diffusion in a two-dimensional electron gas with +Rashba spin-orbit coupling and spin-independent disorder, focusing on the role +of Rashba spin-orbit coupling in transport. Spin-orbit coupling contributes to +spin relaxation, transforming the quantum interference contribution to +conductivity from a negative weak localization (WL) correction to a positive +weak anti-localization (WAL) correction. The importance of spin channel mixing +in transport is largest in the regime where the Bloch state energy uncertainty +$\hbar/\tau$ and the Rashba spin-orbit splitting $\Delta_\mathrm{SO}$ are +comparable. We find that as a consequence of this spin channel mixing, the +WL-WAL crossover is non-monotonic in this intermediate regime, and use our +results to address recent experimental studies of transport at two-dimensional +oxide interfaces.",1406.2715v2 +2011-04-04,Topological phase transitions between chiral and helical spin textures in a lattice with spin-orbit coupling and a magnetic field,"We consider the combined effects of large spin-orbit couplings and a +perpendicular magnetic field in a 2D honeycomb fermionic lattice. This system +provides an elegant setup to generate versatile spin textures propagating along +the edge of a sample. The spin-orbit coupling is shown to induce topological +phase transitions between a helical quantum spin Hall phase and a chiral +spin-imbalanced quantum Hall state. Besides, we find that the spin orientation +of a single topological edge state can be tuned by a Rashba spin-orbit +coupling, opening an interesting route towards quantum spin manipulation. We +discuss the possible realization of our results using cold atoms trapped in +optical lattices, where large synthetic magnetic fields and spin-orbit +couplings can be engineered and finely tuned. In particular, this system would +lead to the observation of a time-reversal-symmetry-broken quantum spin Hall +phase.",1104.0643v2 +2005-02-14,Orbitronics: the Intrinsic Orbital Hall Effect in p-Doped Silicon,"The spin Hall effect depends crucially on the intrinsic spin-orbit coupling +of the energy band. Because of the smaller spin-orbit coupling in silicon, the +spin Hall effect is expected to be much reduced. We show that the electric +field in p-doped silicon can induce a dissipationless orbital current in a +fashion reminiscent of the spin Hall effect. The vertex correction due to +impurity scattering vanishes and the effect is therefore robust against +disorder. The orbital Hall effect can lead to the accumulation of local orbital +momentum at the edge of the sample, and can be detected by the Kerr effect.",0502345v1 +2018-03-09,Spin-vorticity coupling in viscous electron fluids,"We consider spin-vorticity coupling - the generation of spin polarization by +vorticity - in viscous two-dimensional electron systems with spin-orbit +coupling. We first derive hydrodynamic equations for spin and momentum +densities in which their mutual coupling is determined by the rotational +viscosity. We then calculate the rotational viscosity microscopically in the +limits of weak and strong spin-orbit coupling. We provide estimates that show +that the spin-orbit coupling achieved in recent experiments is strong enough +for the spin-vorticity coupling to be observed. On the one hand, this coupling +provides a way to image viscous electron flows by imaging spin densities. On +the other hand, we show that the spin polarization generated by spin-vorticity +coupling in the hydrodynamic regime can, in principle, be much larger than that +generated, e.g. by the spin Hall effect, in the diffusive regime.",1803.03549v1 +2013-10-29,Self-Quenching of Nuclear Spin Dynamics in Central Spin Problem,"We consider, in the framework of the central spin $s=1/2$ model, driven +dynamics of two electrons in a double quantum dot subject to hyperfine +interaction with nuclear spins and spin-orbit coupling. The nuclear subsystem +dynamically evolves in response to Landau-Zener singlet-triplet transitions of +the electronic subsystem controlled by external gate voltages. Without noise +and spin-orbit coupling, subsequent Landau-Zener transitions die out after +about $10^4$ sweeps, the system self-quenches, and nuclear spins reach one of +the numerous glassy dark states. We present an analytical model that captures +this phenomenon. We also account for the multi-nuclear-specie content of the +dots and numerically determine the evolution of around $10^7$ nuclear spins in +up to $2\times10^5$ Landau-Zener transitions. Without spin-orbit coupling, +self-quenching is robust and sets in for arbitrary ratios of the nuclear spin +precession times and the waiting time between Landau-Zener sweeps as well as +under moderate noise. In presence of spin-orbit coupling of a moderate +magnitude, and when the waiting time is in resonance with the precession time +of one of the nuclear species, the dynamical evolution of nuclear polarization +results in stroboscopic screening of spin-orbit coupling. However, small +deviations from the resonance or strong spin-orbit coupling destroy this +screening. We suggest that the success of the feedback loop technique for +building nuclear gradients is based on the effect of spin-orbit coupling.",1310.7847v1 +2015-11-11,Spin Swapping Transport and Torques in Ultrathin Magnetic Bilayers,"Planar spin transport in disordered ultrathin magnetic bilayers comprising a +ferromagnet and a normal metal (typically used for spin pumping, spin Seebeck +and spin-orbit torque experiments) is investigated theoretically. Using a +tight-binding model that treats extrinsic spin Hall effect, spin swapping and +spin relaxation on equal footing, we show that the nature of spin-orbit coupled +transport dramatically depends on ratio between the layers thickness $d$ and +the mean free path $\lambda$. While spin Hall effect dominates in the diffusive +limit ($d\gg\lambda$), spin swapping dominates in Knudsen regime +($d\lesssim\lambda$). A remarkable consequence is that the symmetry of the +spin-orbit torque exerted on the ferromagnet is entirely different in these two +regimes.",1511.03454v1 +2007-08-20,Manipulating the spin texture in spin-orbit superlattice by terahertz radiation,"The spin texture in a gate-controlled superlattice with Rashba spin-orbit +coupling is studied in the presence of external terahertz radiation causing the +superlattice miniband transitions. It is shown that the local distribution of +spin density can be flipped by tuning the radiation intensity, allowing the +controlled coupling of spins and photons with different polarizations.",0708.2595v2 +2012-01-20,Josephson dynamics of a spin-orbit coupled Bose-Einstein condensate in a double well potential,"We investigate the quantum dynamics of an experimentally realized spin-orbit +coupled Bose-Einstein condensate in a double well potential. The spin-orbit +coupling can significantly enhance the atomic inter-well tunneling. We find the +coexistence of internal and external Josephson effects in the system, which are +moreover inherently coupled in a complicated form even in the absence of +interatomic interactions. Moreover, we show that the spin-dependent tunneling +between two wells can induce a net atomic spin current referred as spin +Josephson effects. Such novel spin Josephson effects can be observable for +realistically experimental conditions.",1201.4306v1 +2014-08-27,Spin-orbit Coupling and Multiple Phases in Spin-triplet Superconductor Sr$_2$RuO$_4$,"We study the spin-orbit coupling in spin-triplet Cooper pairs and clarify +multiple superconducting (SC) phases in Sr$_2$RuO$_4$. Based on the analysis of +the three-orbital Hubbard model with atomic LS coupling, we show some selection +rules of the spin-orbit coupling in Cooper pairs. The spin-orbit coupling is +small when the two-dimensional $\gamma$-band is the main cause of the +superconductivity, although the LS coupling is much larger than the SC gap. +Considering this case, we investigate multiple SC transitions in the magnetic +fields for both H // [001] and H // [100] using the Ginzburg-Landau theory and +the quasi-classical theory. Rich phase diagrams are obtained because the spin +degree of freedom in Cooper pairs is not quenched by the spin-orbit coupling. +Experimental indications for the multiple phases in Sr$_2$RuO$_4$ are +discussed.",1408.6353v1 +2009-08-20,Theory of anisotropic exchange in laterally coupled quantum dots,"The effects of spin-orbit coupling on the two-electron spectra in lateral +coupled quantum dots are investigated analytically and numerically. It is +demonstrated that in the absence of magnetic field the exchange interaction is +practically unaffected by spin-orbit coupling, for any interdot coupling, +boosting prospects for spin-based quantum computing. The anisotropic exchange +appears at finite magnetic fields. A numerically accurate effective spin +Hamiltonian for modeling spin-orbit-induced two-electron spin dynamics in the +presence of magnetic field is proposed.",0908.2961v2 +2013-10-30,Spin-orbital state induced by strong spin-orbit coupling,"To clarify a crucial role of a spin-orbit coupling in the emergence of novel +spin-orbital states in $5d$-electron compounds such as Sr$_{2}$IrO$_{4}$, we +investigate ground state properties of a $t_{\rm 2g}$-orbital Hubbard model on +a square lattice by Lanczos diagonalization. In the absence of the spin-orbit +coupling, the ground state is spin singlet. When the spin-orbit coupling is +strong enough, the ground state turns into a weak ferromagnetic state. The weak +ferromagnetic state is a singlet state in terms of an effective total angular +momentum. Regarding the orbital state, we find the so-called complex orbital +state, in which real $xy$, $yz$, and $zx$ orbital states are mixed with complex +coefficients.",1310.8016v1 +2015-12-05,Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: II. RPA response functions and collective modes,"The spin and density response functions in the random phase approximation +(RPA) are derived by linearizing the kinetic equation including a magnetic +field, the spin-orbit coupling, and mean fields with respect to an external +electric field. Different polarization functions appear describing various +precession motions showing Rabi satellites due to an effective Zeeman field. +The latter turns out to consist of the mean-field magnetization, the magnetic +field, and the spin-orbit vector. The collective modes for charged and neutral +systems are derived and a threefold splitting of the spin waves dependent on +the polarization and spin-orbit coupling is shown. The dielectric function +including spin-orbit coupling, polarization and magnetic fields is presented +analytically for long wave lengths and in the static limit. The dynamical +screening length as well as the long-wavelength dielectric function shows an +instability in charge modes, which are interpreted as spin segregation and +domain formation. The spin response describes a crossover from damped +oscillatory behavior to exponentially damped behavior dependent on the +polarization and collision frequency. The magnetic field causes ellipsoidal +trajectories of the spin response to an external electric field and the +spin-orbit coupling causes a rotation of the spin axes. The spin-dephasing +times are extracted and discussed in dependence on the polarization, magnetic +field, spin-orbit coupling and single-particle relaxation times.",1512.01661v1 +2013-07-09,Multi-Orbital Superconductivity in SrTiO3 /LaAlO3 Interface and SrTiO3 Surface,"We investigate the superconductivity in two-dimensional electron systems +formed in SrTiO3 nanostructures. Our the- oretical analysis is based on the +three-orbital model, which takes into account t2g orbitals of Ti ions. Because +of the interfacial breaking of mirror symmetry, a Rashba-type antisymmetric +spin-orbit coupling arises from the cooperation of intersite and interorbital +hybridyzation and atomic LS coupling. This model shows a characteristic spin +texture and carrier density dependence of Rashba spin-orbit coupling through +the orbital degree of freedom. Superconductivity is mainly caused by heavy +quasiparticles consisting of dyz and dzx orbitals at high carrier densities. We +find that the Rashba spin-orbit coupling stabilizes a quasi-one-dimensional +superconducting phase caused by one of the dyz or dzx orbitals at high magnetic +fields along interfaces. This quasi-one-dimensional superconducting phase is +protected against para- magnetic depairing effects by the Rashba spin-orbit +coupling and realizes a large upper critical field Hc2 beyond the +Pauli-Clogston-Chandrasekhar limit. This finding is consistent with an +extraordinarily large upper critical field observed in SrTiO3 /LaAlO3 +interfaces and its carrier density dependence. The possible coexistence of +superconductivity and fer- romagnetism in SrTiO3 /LaAlO3 interfaces may also be +attributed to this quasi-one-dimensional superconducting phase.",1307.2363v1 +2020-09-15,Spin-orbital polarization of Majorana edge states in oxides nanowires,"We investigate a paradigmatic case of topological superconductivity in a +one-dimensional nanowire with $d-$orbitals and a strong interplay of +spin-orbital degrees of freedom due to the competition of orbital Rashba +interaction, atomic spin-orbit coupling, and structural distortions. We +demonstrate that the resulting electronic structure exhibits an orbital +dependent magnetic anisotropy which affects the topological phase diagram and +the character of the Majorana bound states (MBSs). The inspection of the +electronic component of the MBSs reveals that the spin-orbital polarization +generally occurs along the direction of the applied Zeeeman magnetic field, and +transverse to the magnetic and orbital Rashba fields. The competition of +symmetric and antisymmetric spin-orbit coupling remarkably leads to a +misalignment of the spin and orbital moments transverse to the orbital Rashba +fields, whose manifestation is essentially orbital dependent. The behavior of +the spin-orbital polarization along the applied Zeeman field reflects the +presence of multiple Fermi points with inequivalent orbital character in the +normal state. Additionally, the response to variation of the electronic +parameters related with the degree of spin-orbital entanglement leads to +distinctive evolution of the spin-orbital polarization of the MBSs. These +findings unveil novel paths to single-out hallmarks relevant for the +experimental detection of MBSs.",2009.06956v1 +2021-03-30,Numerical analysis of the spin-orbit coupling parameters in III-V quantum wells using 8-band Kane model and finite-difference method,"By means the envelope function approximation, 8-band Kane model and a +finite-difference scheme with the coordinate space discretization, we +numerically performed calculations of the spin-orbit coupling parameters for 2D +electron gas confined in both symmetric and asymmetric [0 0 1] quantum wells +based on zinc-blende III-V semiconductors. Influence of the quantum well band +parameters and width as well as the magnitude of the external electric field +applied along the growth direction on the Dresselhaus and Rashba spin-orbit +coupling parameters is investigated. It has been found that in the symmetric +InGaAs/GaAs quantum wells linear-in-momentum spin-orbit coupling disappears for +the third electron subband at certain values of well width and the indium +content. It is also shown that in asymmetric InGaAs/GaAs structures the +spin-orbit coupling parameters can be equal at a certain electric field that is +the condition for the realization of the SU(2) spin symmetry and formation of +persistent spin helices. Besides, we calculated the spin-orbit coupling in the +persistent spin helix regime as a function of the well width, indium content +and external field. The proposed approach for the calculation of the spin-orbit +coupling parameters can be applied to other 2D structures with the spin-orbit +coupling.",2103.16721v1 +2011-02-11,Chiral spin states in polarized kagome spin systems with spin-orbit coupling,"We study quantum spin systems with a proper combination of geometric +frustration, spin-orbit coupling and ferromagnetism. We argue that such a +system is likely to be in a chiral spin state, a fractional quantum Hall (FQH) +state for bosonic spin degrees of freedom. The energy scale of the bosonic FQH +state is of the same order as the spin-orbit coupling and ferromagnetism --- +overall much higher than the energy scale of FQH states in semiconductors.",1102.2406v1 +2013-04-30,Can electrostatic field lift spin degeneracy?,"There are two well known mechanisms which lead to lifting of energy spin +degeneracy of single electron systems - magnetic field and spin-orbit coupling. +We investigate the possibility for existence of a third mechanism in which +electrostatic field can lead to lifting of spin-degeneracy directly without the +mediation of spin-orbit coupling. A novel argument is provided for the need of +spin-orbit coupling different from the usual relativistic considerations. It is +shown that due to preserved translational invariance spin splitting purely by +electrostatic field is not possible for Bloch states. A possible lifting of +spin degeneracy by electrostatic field characterized by broken inversion and +translational invariance is considered.",1304.7968v2 +2011-09-22,Intrinsic coupling of orbital excitations to spin fluctuations in Mott insulators,"We show how the general and basic asymmetry between two fundamental degrees +of freedom present in strongly correlated oxides, spin and orbital, has very +profound repercussions on the elementary spin and orbital excitations. Whereas +the magnons remain largely unaffected, orbitons become inherently coupled with +spin fluctuations in spin-orbital models with antiferromagnetic and +ferroorbital ordered ground states. The composite orbiton-magnon modes that +emerge fractionalize again in one dimension, giving rise to spin-orbital +separation in the peculiar regime where spinons are faster than orbitons.",1109.4745v1 +2012-11-05,Tailoring spin-orbit torque in diluted magnetic semiconductors,"We study the spin orbit torque arising from an intrinsic linear Dresselhaus +spin-orbit coupling in a single layer III-V diluted magnetic semiconductor. We +investigate the transport properties and spin torque using the linear response +theory and we report here : (1) a strong correlation exists between the angular +dependence of the torque and the anisotropy of the Fermi surface; (2) the spin +orbit torque depends nonlinearly on the exchange coupling. Our findings suggest +the possibility to tailor the spin orbit torque magnitude and angular +dependence by structural design.",1211.0867v2 +2015-06-02,Spin-orbit coupling rule in bound fermions systems,"Spin-orbit coupling characterizes quantum systems such as atoms, nuclei, +hypernuclei, quarkonia, etc., and is essential for understanding their +spectroscopic properties. Depending on the system, the effect of spin-orbit +coupling on shell structure is large in nuclei, small in quarkonia, +perturbative in atoms. In the standard non-relativistic reduction of the +single-particle Dirac equation, we derive a universal rule for the relative +magnitude of the spin-orbit effect that applies to very different quantum +systems, regardless of whether the spin-orbit coupling originates from the +strong or electromagnetic interaction. It is shown that in nuclei the near +equality of the mass of the nucleon and the difference between the large +repulsive and attractive potentials explains the fact that spin-orbit +splittings are comparable to the energy spacing between major shells. For a +specific ratio between the particle mass and the effective potential whose +gradient determines the spin-orbit force, we predict the occurrence of giant +spin-orbit energy splittings that dominate the single-particle excitation +spectrum.",1506.00911v2 +2006-06-07,An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System,"Spin-orbit coupled systems generally break the spin rotation symmetry. +However, for a model with equal Rashba and Dresselhauss coupling constant (the +ReD model), and for the $[110]$ Dresselhauss model, a new type of SU(2) spin +rotation symmetry is discovered. This symmetry is robust against +spin-independent disorder and interactions, and is generated by operators whose +wavevector depends on the coupling strength. It renders the spin lifetime +infinite at this wavevector, giving rise to a Persistent Spin Helix (PSH). We +obtain the spin fluctuation dynamics at, and away, from the symmetry point, and +suggest experiments to observe the PSH.",0606196v1 +2010-08-09,Gate-dependent spin-orbit coupling in multi-electron carbon nanotubes,"Understanding how the orbital motion of electrons is coupled to the spin +degree of freedom in nanoscale systems is central for applications in +spin-based electronics and quantum computation. We demonstrate this coupling of +spin and orbit in a carbon nanotube quantum dot in the general multi-electron +regime in presence of finite disorder. Further, we find a strong systematic +dependence of the spin-orbit coupling on the electron occupation of the quantum +dot. This dependence, which even includes a sign change is not demonstrated in +any other system and follows from the curvature-induced spin-orbit split +Dirac-spectrum of the underlying graphene lattice. Our findings unambiguously +show that the spin-orbit coupling is a general property of nanotube quantum +dots which provide a unique platform for the study of spin-orbit effects and +their applications.",1008.1600v2 +2006-03-23,Intense terahertz laser fields on a quantum dot with Rashba spin-orbit coupling,"We investigate the effects of the intense terahertz laser field and the +spin-orbit coupling on single electron spin in a quantum dot. The laser field +and the spin-orbit coupling can strongly affect the electron density of states +and can excite a magnetic moment. + The direction of the magnetic moment depends on the symmetries of the system, +and its amplitude can be tuned by the strength and frequency of the laser field +as well as the spin-orbit coupling.",0603614v2 +2008-10-30,Berry Phase in a Single Quantum Dot with Spin-Orbit Interaction,"Berry phase in a single quantum dot with Rashba spin-orbit coupling is +investigated theoretically. Berry phases as functions of magnetic field +strength, dot size, spin-orbit coupling and photon-spin coupling constants are +evaluated. It is shown that the Berry phase will alter dramatically from 0 to +$2\pi$ as the magnetic field strength increases. The threshold of magnetic +field depends on the dot size and the spin-orbit coupling constant.",0810.5405v1 +2011-06-28,Phase separation in a polarized Fermi gas with spin-orbit coupling,"We study the phase separation of a spin polarized Fermi gas with spin-orbit +coupling near a wide Feshbach resonance. As a result of the competition between +spin-orbit coupling and population imbalance, the phase diagram for a uniform +gas develops a rich structure of phase separation involving gapless superfluid +states which are topologically non-trivial. We find that these novel gapless +phases can be stabilized by intermediate spin-orbit coupling strengths. We then +demonstrate the phase separation induced by an external trapping potential and +discuss the optimal parameter region for the experimental observation of the +gapless superfluid phases.",1106.5667v2 +2013-12-09,The Pairing of Spin-orbit Coupled Fermi Gas in Optical Lattice,"We investigate Rashba spin-orbit coupled Fermi gases in square optical +lattice by using the determinant quantum Monte Carlo (DQMC) simulations which +is free of the sign-problem. We show that the Berezinskii-Kosterlitz-Thoules +phase transition temperature is firstly enhanced and then suppressed by +spin-orbit coupling in the strong attraction region. In the intermediate +attraction region, spin-orbit coupling always suppresses the transition +temperature. We also show that the spin susceptibility becomes anisotropic and +retains finite values at zero temperature.",1312.2292v1 +2020-12-27,Microwave spectroscopy of spin-orbit coupled states: energy detuning versus interdot coupling modulation,"We study the AC field induced current peaks of a spin blockaded double +quantum dot with spin-orbit interaction. The AC field modulates either the +interdot tunnel coupling or the energy detuning, and we choose the AC field +frequency range to induce two singlet-triplet transitions giving rise to two +current peaks. We show that for a large detuning the two current peaks can be +significantly stronger when the AC field modulates the tunnel coupling, thus +making the detection of the spin-orbit gap more efficient. We also demonstrate +the importance of the time dependence of the spin-orbit interaction.",2012.13914v1 +2020-10-05,Detection of the Orbital Hall Effect by the Orbital-Spin Conversion,"The intrinsic orbital Hall effect (OHE), the orbital counterpart of the spin +Hall effect, was predicted and studied theoretically for more than one decade, +yet to be observed in experiments. Here we propose a strategy to convert the +orbital current in OHE to the spin current via the spin-orbit coupling from the +contact. Furthermore, we find that OHE can induce large nonreciprocal +magnetoresistance when employing magnetic contact. Both the generated spin +current and the orbital Hall magnetoresistance can be applied to probe the OHE +in experiments and design orbitronic devices.",2010.01970v1 +2018-12-19,Manifestations of spin-orbit coupling in a cuprate superconductor,"Exciting new work on Bi2212 shows the presence of non-trivial spin-orbit +coupling effects as seen in spin resolved ARPES data [Gotlieb et al., Science, +362, 1271-1275 (2018)]. Motivated by these observations we consider how the +picture of spin-orbit coupling through local inversion symmetry breaking might +be observed in cuprate superconductors. Furthermore, we examine two spin-orbit +driven effects, the spin-Hall effect and the Edelstein effect, focusing on the +details of their realizations within both the normal and superconducting +states.",1812.07949v2 +2014-08-08,Spin-Orbital Order Modified by Orbital Dilution in Transition Metal Oxides: From Spin Defects to Frustrated Spins Polarizing Host Orbitals,"We study the $3d$ substitution in $4d$ transition metal oxides in the cases +of $3d^3$ doping at either $3d^2$ or $4d^4$ sites which realize orbital +dilution. We derive the effective $3d-4d$ (or $3d-3d$) superexchange in a Mott +insulator with different ionic valencies, underlining the emerging structure of +the spin-orbital coupling between the impurity and the host sites and +demonstrate that it is qualitatively different from that encountered in the +host itself. This derivation shows that the interaction between the host and +the impurity depends in a crucial way on the type of doubly occupied $t_{2g}$ +orbital. One finds that in some cases, due to the quench of the orbital degree +of freedom at the $3d$ impurity, the spin and orbital order within the host is +drastically modified by doping. The impurity acts either as a spin defect +accompanied by an orbital vacancy in the spin-orbital structure when the +host-impurity coupling is weak, or it favors doubly occupied active orbitals +(orbital polarons) along the $3d-4d$ bond leading to antiferromagnetic or +ferromagnetic spin coupling. This competition between different magnetic +couplings leads to quite different ground states. We find that magnetic +frustration and spin degeneracy can be lifted by the quantum orbital flips of +the host but they are robust in special regions of the incommensurate phase +diagram. The spin-orbit coupling can lead to anisotropic spin and orbital +patterns along the symmetry directions and cause a radical modification of the +order imposed by the spin-orbital superexchange. Our findings are expected to +be of importance for future theoretical understanding of experimental results +for doped $4d$ transition metal oxides doped with $3d^3$ ions. We suggest how +the local or global changes of the spin-orbital order induced by such +impurities could be detected experimentally.",1408.1838v3 +2014-04-21,Graphene with wedge disclination in the presence of intrinsic and Rashba spin orbit couplings,"In this article, the modified Kane-Mele Hamiltonian is derived for graphene +with wedge disclination and spin orbit couplings (intrinsic and Rashba). The +wedge disclination changes the flat lattice into the conical lattice and hence +modifies the spin orbit couplings. The Hamiltonian is exactly solved for the +intrinsic spin orbit interaction and perturbatively for the Rashba spin orbit +interaction. It is shown that there exists the Kramer's degenerate midgap +localized spin separated fluxon states around the defect. These zero energy +spin separated states occur at the external magnetic flux value +$\Phi\pm\Delta\Phi$. The external magnetic flux $\Phi$ is introduced to make +the wave-function periodic when the electron circulates around the defect. It +is found that this separation occurs due to the effect of the conical curvature +on the spin orbit coupling. Further, we find these results are robust to the +addition of the Rashba spin orbit interaction which is important for the +application to spintronics and nanoelectronics.",1404.5150v2 +2004-08-18,Hole dynamics in spin and orbital ordered vanadium perovskites,"Hole dynamics in spin and orbital ordered vanadates with perovskite structure +is investigated. A mobile hole coupled to the spin excitation (magnon) in the +spin G-type and orbital C-type (SG/OC) ordered phase, and that to the orbital +excitation (orbiton) in the spin C-type and orbital G-type (SC/OG) one are +formulated on an equal footing. The observed fragile character of the (SG/OC) +order is attributed to the orbiton softening caused by a reduction of the +taggered magnetic order parameter. It is proposed that the qualitatively +different hole dynamics in the two spin-orbital ordered phases in vanadates can +be probed by the optical spectra.",0408395v1 +2020-02-05,Correlated motion of particle-hole excitations across the renormalized spin-orbit gap in $\rm Sr_2 Ir O_4$,"The high-energy collective modes of particle-hole excitations across the +spin-orbit gap in $\rm Sr_2IrO_4$ are investigated using the transformed +Coulomb interaction terms in the pseudo-spin-orbital basis constituted by the +$J=1/2$ and $3/2$ states arising from spin-orbit coupling. With appropriate +interaction strengths and renormalized spin-orbit gap, these collective modes +yield two well-defined propagating spin-orbit exciton modes, with energy scale +and dispersion in excellent agreement with resonant inelastic X-ray scattering +(RIXS) measurements.",2002.02415v1 +2006-11-06,Spin relaxation in a generic two-dimensional spin-orbit coupled system,"We study the relaxation of a spin density injected into a two-dimensional +electron system with generic spin-orbit interactions. Our model includes the +Rashba as well as linear and cubic Dresselhaus terms. We explicitly derive a +general spin-charge coupled diffusion equation. Spin diffusion is characterized +by just two independent dimensionless parameters which control the interplay +between different spin-orbit couplings. The real-time representation of the +diffuson matrix (Green's function of the diffusion equation) is evaluated +analytically. The diffuson describes space-time dynamics of the injected spin +distribution. We explicitly study two regimes: The first regime corresponds to +negligible spin-charge coupling and is characterized by standard charge +diffusion decoupled from the spin dynamics. It is shown that there exist +several qualitatively different dynamic behaviors of the spin density, which +correspond to various domains in the spin-orbit coupling parameter space. We +discuss in detail a few interesting phenomena such as an enhancement of the +spin relaxation times, real space oscillatory dynamics, and anisotropic +transport. In the second regime, we include the effects of spin-charge +coupling. It is shown that the spin-charge coupling leads to an enhancement of +the effective charge diffusion coefficient. We also find that in the case of +strong spin-charge coupling, the relaxation rates formally become complex and +the spin/charge dynamics is characterized by real time oscillations. These +effects are qualitatively similar to those observed in spin-grating experiments +[Weber et al., Nature 437, 1330 (2005)].",0611165v1 +2011-10-06,Spin and pseudospin symmetry along with orbital dependency of the Dirac-Hulthen problem,"The role of the Hulthen potential on the spin and pseudospin symmetry +solutions is investigated systematically by solving the Dirac equation with +attractive scalar S(r) and repulsive vector V(r) potentials. The spin and +pseudospin symmetry along with orbital dependency (pseudospin-orbit and +spin-orbit dependent couplings) of the Dirac equation are included to the +solution by introducing the Hulthen-square approximation. This effective +approach is based on forming the spin and pseudo-centrifugal kinetic energy +term from the square of the Hulthen potential. The analytical solutions of the +Dirac equation for the Hulthen potential with the spin-orbit and +pseudospin-orbit-dependent couplings are obtained by using the Nikiforov-Uvarov +(NU) method. The energy eigenvalue equations and wave functions for various +degenerate states are presented for several spin-orbital, pseudospin-orbital +and radial quantum numbers under the condition of the spin and pseudospin +symmetry. Keywords: Spin and pseudospin symmetry; orbital dependency; Dirac +equation; Hulthen potential; Nikiforov-Uvarov Method.",1110.1225v1 +2013-11-07,Spin-Orbit Torques and Anisotropic Magnetization Damping in Skyrmion Crystals,"The length scale of the magnetization gradients in chiral magnets is +determined by the relativistic Dzyaloshinskii-Moriya interaction. Thus, even +conventional spin-transfer torques are controlled by the relativistic +spin-orbit coupling in these systems, and additional relativistic corrections +to the current-induced torques and magnetization damping become important for a +complete understanding of the current-driven magnetization dynamics. We +theoretically study the effects of reactive and dissipative homogeneous +spin-orbit torques and anisotropic damping on the current-driven skyrmion +dynamics in cubic chiral magnets. Our results demonstrate that spin-orbit +torques play a significant role in the current-induced skyrmion velocity. The +dissipative spin-orbit torque generates a relativistic Magnus force on the +skyrmions, whereas the reactive spin-orbit torque yields a correction to both +the drift velocity along the current direction and the transverse velocity +associated with the Magnus force. The spin-orbit torque corrections to the +velocity scale linearly with the skyrmion size, which is inversely proportional +to the spin-orbit coupling. Consequently, the reactive spin-orbit torque +correction can be the same order of magnitude as the non-relativistic +contribution. More importantly, the dissipative spin-orbit torque can be the +dominant force that causes a deflected motion of the skyrmions if the torque +exhibits a linear or quadratic relationship with the spin-orbit coupling. In +addition, we demonstrate that the skyrmion velocity is determined by +anisotropic magnetization damping parameters governed by the skyrmion size.",1311.1778v1 +2016-02-15,Effects of Dephasing on Spin Lifetime in Ballistic Spin-Orbit Materials,"We theoretically investigate spin dynamics in spin-orbit-coupled materials. +In the ballistic limit, the spin lifetime is dictated by dephasing that arises +from energy broadening plus a non-uniform spin precession. For the case of +clean graphene, we find a strong anisotropy with spin lifetimes that can be +short even for modest energy scales, on the order of a few ns. These results +offer deeper insight into the nature of spin dynamics in graphene, and are also +applicable to the investigation of other systems where spin-orbit coupling +plays an important role.",1602.04611v1 +2018-12-20,Non-local Spin-charge Conversion via Rashba Spin-Orbit Interaction,"We show theoretically that conversion between spin and charge by spin-orbit +interaction in metals occurs even in a non-local setup where magnetization and +spin-orbit interaction are spatially separated if electron diffusion is taken +into account. Calculation is carried out for the Rashba spin-orbit interaction +treating the coupling with a ferromagnet perturbatively. The results indicate +the validity of the concept of effective spin gauge field (spin motive force) +in the non-local configuration. The inverse Rashba-Edelstein effect observed +for a trilayer of a ferromagnet, a normal metal and a heavy metal can be +explained in terms of the non-local effective spin gauge field.",1812.08884v1 +2003-09-24,Orbital Wave and its Observation in Orbital Ordered Titanates and Vanadates,"We present a theory of the collective orbital excitation termed orbital wave +in perovskite titanates and vanadates with the triply degenerate $t_{2g}$ +orbitals. The dispersion relations of the orbital waves for the orbital ordered +LaVO$_3$, YVO$_3$ and YTiO$_3$ are examined in the effective spin-orbital +coupled Hamiltonians associated with the Jahn-Teller type couplings. We propose +possible scattering processes for the Raman and inelastic neutron scatterings +from the orbital wave and calculate the scattering spectra for titanates and +vanadates. It is found that both the excitation spectra and the observation +methods of the orbital wave are distinct qualitatively from those for the $e_g$ +orbital ordered systems.",0309538v2 +2013-12-31,Anisotropic exchange coupling in a nanowire double quantum dot with strong spin-orbit coupling,"A spin-orbit qubit is a hybrid qubit that contains both orbital and spin +degrees of freedom of an electron in a quantum dot. Here we study the exchange +coupling between two spin-orbit qubits in a nanowire double quantum dot (DQD) +with strong spin-orbit coupling (SOC). We find that while the total tunneling +in the DQD is irrelevant to the SOC, both the spin-conserved and spin-flipped +tunnelings are SOC dependent and can compete with each other in the strong SOC +regime. Moreover, the Coulomb repulsion between electrons can combine with the +SOC-dependent tunnelings to yield an anisotropic exchange coupling between the +two spin-orbit qubits. Also, we give an explicit physical mechanism for this +anisotropic exchange coupling.",1401.0101v2 +2023-11-15,Chirality-induced emergent spin-orbit coupling in topological atomic lattices,"Spin-orbit coupled dynamics are of fundamental interest in both quantum +optical and condensed matter systems alike. In this work, we show that photonic +excitations in pseudospin-1/2 atomic lattices exhibit an emergent spin-orbit +coupling when the geometry is chiral. This spin-orbit coupling arises naturally +from the electric dipole interaction between the lattice sites and leads to +spin polarized excitation transport. Using a general quantum optical model, we +determine analytically the conditions that give rise to spin-orbit coupling and +characterize the behavior under various symmetry transformations. We show that +chirality-induced spin textures are associated with a topologically nontrivial +Zak phase that characterizes the chiral setup. Our results demonstrate that +chiral atom arrays are a robust platform for realizing spin-orbit coupled +topological states of matter.",2311.09303v1 +2012-05-15,Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas,"The coupling of the spin of electrons to their motional state lies at the +heart of recently discovered topological phases of matter. Here we create and +detect spin-orbit coupling in an atomic Fermi gas, a highly controllable form +of quantum degenerate matter. We reveal the spin-orbit gap via spin-injection +spectroscopy, which characterizes the energy-momentum dispersion and spin +composition of the quantum states. For energies within the spin-orbit gap, the +system acts as a spin diode. To fully inhibit transport, we open an additional +spin gap, thereby creating a spin-orbit coupled lattice whose spinful band +structure we probe. In the presence of s-wave interactions, such systems should +display induced p-wave pairing, topological superfluidity, and Majorana edge +states.",1205.3483v1 +1998-12-02,Theory of Orbital Excitation and Resonant Inelastic X-ray Scattering in Manganites,"We study theoretically the collective orbital excitation named orbital wave +in the orbital ordered manganites.The dispersion relation of the orbital wave +is affected by the static spin structure through the coupling between spin and +orbital degrees of freedom. As a probe to detect the dispersion relation, we +propose two possible methods by utilizing resonant inelastic x-ray scattering. +The transition probability of the orbital wave scattering is formulated, and +the momentum and polarization dependences of the structure factor are +calculated in several types of the orbital and spin structures. The elastic +x-ray scattering in the L-edge case to observe the orbital ordering is also +discussed.",9812028v1 +2016-04-29,Tunable spin-charge conversion through topological phase transitions in zigzag nanoribbons,"We study spin-orbit torques and charge pumping in magnetic quasi-one +dimensional zigzag nanoribbons with hexagonal lattice, in the presence of large +intrinsic spin-orbit coupling. Such a system experiences topological phase +transition from a trivial band insulator to a quantum spin Hall insulator +either by tuning the magnetization direction or the intrinsic spin-orbit +coupling. We find that spin-charge conversion efficiency (i.e. spin-orbit +torque and charge pumping) is dramatically enhanced at the topological +transition, displaying a substantial angular anisotropy.",1604.08782v1 +2014-02-24,Low-Energy Effective Hamiltonian for Giant-Gap Quantum Spin Hall Insulators in Honeycomb X-Hydride/Halide (X=N-Bi) Monolayers,"Using the tight-binding method in combination with first-principles +calculations, we systematically derive a low-energy effective Hilbert subspace +and Hamiltonian with spin-orbit coupling for two-dimensional hydrogenated and +halogenated group-V monolayers. These materials are proposed to be giant-gap +quantum spin Hall insulators with record huge bulk band gaps opened by the +spin-orbit coupling at the Dirac points, e.g., from 0.74 to 1.08 eV in +Bi\textit{X} (\textit{X} = H, F, Cl, and Br) monolayers. We find that the +low-energy Hilbert subspace mainly consists of $p_{x}$ and $p_{y}$ orbitals +from the group-V elements, and the giant first-order effective intrinsic +spin-orbit coupling is from the on-site spin-orbit interaction. These features +are quite distinct from those of group-IV monolayers such as graphene and +silicene. There, the relevant orbital is $p_z$ and the effective intrinsic +spin-orbit coupling is from the next-nearest-neighbor spin-orbit interaction +processes. These systems represent the first real 2D honeycomb lattice +materials in which the low-energy physics is associated with $p_{x}$ and +$p_{y}$ orbitals. A spinful lattice Hamiltonian with an on-site spin-orbit +coupling term is also derived, which could facilitate further investigations of +these intriguing topological materials.",1402.5817v2 +2002-08-27,Conductance of a quantum point contact in the presence of spin-orbit interaction,"A recursive Green's function technique is developed to calculate the +spin-dependent conductance in mesoscopic structures. Using this technique, we +study the spin-dependent electronic transport of quantum point contacts in the +presence of the Rashba spin-orbit interaction. We observed that some +oscillations in the `quantized' conductance are induced by the spin-orbit +interaction, and indicated that the oscillations may stem from the spin-orbit +coupling associated multiple reflections. It is also indicated that the 0.7 +structure of the conductance observed in mesoscopic experiments would not stem +from the spin-orbit interaction.",0208506v1 +2022-01-27,Superfluid transition temperature and fluctuation theory of spin-orbit and Rabi-coupled fermions with tunable interactions,"We obtain the superfluid transition temperature of equal Rashba-Dresselhaus +spin-orbit and Rabi-coupled Fermi superfluids, from the +Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensate (BEC) regimes in +three dimensions for tunable $s$-wave interactions. In the presence of Rabi +coupling, we find that spin-orbit coupling enhances (reduces) the critical +temperature in the BEC (BCS) limit. For fixed interactions, we show that +spin-orbit coupling can convert a first-order (discontinuous) phase transition +into a second-order (continuous) phase transition, as a function of Rabi +coupling. We derive the Ginzburg-Landau free energy to sixth power in the +superfluid order parameter to describe both continuous and discontinuous phase +transitions as a function of spin-orbit and Rabi couplings. Lastly, we develop +a time-dependent Ginzburg-Landau fluctuation theory for an arbitrary mixture of +Rashba and Dresselhaus spin-orbit couplings at any interaction strength.",2201.11823v2 +2009-05-12,Pauli Spin Blockade in the Presence of Strong Spin-Orbit Coupling,"We study electron transport in a double quantum dot in the Pauli spin +blockade regime, in the presence of strong spin-orbit coupling. The effect of +spin-orbit coupling is incorporated into a modified interdot tunnel coupling. +We elucidate the role of the external magnetic field, the nuclear fields in the +dots, and spin relaxation. We find qualitative agreement with experimental +observations, and we propose a way to extend the range of magnetic fields in +which blockade can be observed.",0905.1818v1 +2012-09-21,Adiabatic pumping through an interacting quantum dot with spin-orbit coupling,"We study adiabatic pumping through a two-level quantum dot with spin-orbit +coupling. Using a diagrammatic real-time approach, we calculate both the pumped +charge and spin for a periodic variation of the dot's energy levels in the +limit of weak tunnel coupling. Thereby, we compare the two limits of vanishing +and infinitely large charging energy on the quantum dot. We discuss the +dependence of the pumped charge and pumped spin on gate voltages, the symmetry +in the tunnel-matrix elements and spin-orbit coupling strength. We identify the +possibility to generate pure spin currents in the absence of charge currents.",1209.4770v2 +2017-07-14,Insights into the orbital magnetism of noncollinear magnetic systems,"The orbital magnetic moment is usually associated with the relativistic +spin-orbit interaction, but recently it has been shown that noncollinear +magnetic structures can also be its driving force. This is important not only +for magnetic skyrmions, but also for other noncollinear structures, either +bulk-like or at the nanoscale, with consequences regarding their experimental +detection. In this work we present a minimal model that contains the effects of +both the relativistic spin-orbit interaction and of magnetic noncollinearity on +the orbital magnetism. A hierarchy of models is discussed in a step-by-step +fashion, highlighting the role of time-reversal symmetry breaking for +translational and spin and orbital angular motions. Couplings of spin-orbit and +orbit-orbit type are identified as arising from the magnetic noncollinearity. +We recover the atomic contribution to the orbital magnetic moment, and a +nonlocal one due to the presence of circulating bound currents, exploring +different balances between the kinetic energy, the spin exchange interaction, +and the relativistic spin-orbit interaction. The connection to the scalar spin +chirality is examined. The orbital magnetism driven by magnetic noncollinearity +is mostly unexplored, and the presented model contributes to laying its +groundwork.",1707.04518v1 +2023-11-22,Effects of magnetic fields and orbital angular momentum on excitonic condensation in two-orbital Hubbard model,"We investigate the magnetic-field effects on a two-orbital Hubbard model that +describes multiple spin states. Cobalt oxides have been investigated as +materials possessing spin-state degrees of freedom due to the interplay between +the Hund coupling interaction and crystalline field effect. In the competing +region, quantum hybridizations between distinct spin states are expected to +emerge, corresponding to excitonic condensation. Applied magnetic fields could +also induce such a competition. To understand magnetic-field effects on +excitonic condensation in multi-orbital systems, it is crucial to account for +contributions from both spin and orbital degrees of freedom to magnetic +properties. Here, we study field-induced phenomena in the two-orbital Hubbard +model by focusing on the role of the orbital angular momentum. We +comprehensively analyze this model on a square lattice employing the +Hartree-Fock approximation. Omitting contributions from the orbital moment, we +find that an applied magnetic field gives rise to two excitonic phases, besides +the spin-state ordered phase, between the nonmagnetic low-spin and +spin-polarized high-spin phases. One of these excitonic phases manifests a +staggered-type spin-state order, interpreted as an excitonic supersolid state. +Conversely, the other phase is not accompanied by it and exhibits only a spin +polarization due to the applied magnetic field. When spin-orbit coupling is +present, this phase displays a ferrimagnetic spin alignment attributed to spin +anisotropy. Our analysis also reveals that incorporating the contribution of +the orbital magnetic moment to the Zeeman term significantly alters the overall +structure of the phase diagram. Notably, the orbital magnetization destabilizes +the excitonic phase in contrast to scenarios without this contribution. We also +discuss the relevance of our findings to real materials, such as cobalt oxides.",2311.13191v1 +2016-06-27,Supercurrent-Induced Spin-Orbit Torques,"We theoretically investigate the supercurrent-induced magnetization dynamics +of a two-dimensional lattice of ferromagnetically ordered spins placed on a +conventional superconductor with broken spatial inversion symmetry and strong +spin-orbit coupling. We develop a phenomenological description of the coupled +dynamics of the superconducting condensate and the spin system, and demonstrate +that supercurrents produce a reactive spin-orbit torque on the magnetization. +By performing a microscopic self-consistent calculation, we show that the +spin-orbit torque originates from a spin-polarization of the Cooper pairs due +to current-induced spin-triplet correlations. Interestingly, we find that there +exists an intrinsic limitation for the maximum achievable spin-orbit torque, +which is determined by the coupling strength between the condensate and the +spin system. In proximitized hole-doped semiconductors, the maximum achievable +spin-orbit torque field is estimated to be on the order of $0.16$ mT, which is +comparable to the critical field for current-induced magnetization switching in +ferromagnetic semiconductors.",1606.08470v1 +2005-08-02,Spin Accumulation in the Extrinsic Spin Hall Effect,"The drift-diffusion formalism for spin-polarized carrier transport in +semiconductors is generalized to include spin-orbit coupling. The theory is +applied to treat the extrinsic spin Hall effect using realistic boundary +conditions. It is shown that carrier and spin diffusion lengths are modified by +the presence of spin-orbit coupling and that spin accumulation due to the +extrinsic spin Hall effect is strongly and qualitatively influenced by boundary +conditions. Analytical formulas for the spin-dependent carrier recombination +rates and inhomogeneous spin densities and currents are presented.",0508076v1 +2021-08-13,Coupling the Higgs mode and ferromagnetic resonance in spin-split superconductors with Rashba spin-orbit coupling,"We consider the Higgs mode at nonzero momentum in superconductors and +demonstrate that in the presence of Rashba spin-orbit coupling, it couples +linearly with an external exchange field. The Higgs-spin coupling dramatically +modifies the spin susceptibility near the superconducting critical temperature +and consequently enhances the spin pumping effect in a ferromagnetic +insulator/superconductor bilayer system. We show that this effect can be +detected by measuring the magnon-induced voltage generated by the inverse spin +Hall effect.",2108.06202v2 +2020-06-03,"Magnetic reorientation transition in a three orbital model for $\rm Ca_2 Ru O_4$ -- Interplay of spin-orbit coupling, tetragonal distortion, and Coulomb interactions","Including the orbital off-diagonal spin and charge condensates in the self +consistent determination of magnetic order within a realistic three-orbital +model for the $4d^4$ compound $\rm Ca_2 Ru O_4$, reveals a host of novel +features including strong and anisotropic spin-orbit coupling (SOC) +renormalization, coupling of strong orbital magnetic moments to orbital fields, +and a magnetic reorientation transition. Highlighting the rich interplay +between orbital geometry and overlap, spin-orbit coupling, Coulomb +interactions, tetragonal distortion, and staggered octahedral tilting and +rotation, our investigation yields a planar antiferromagnetic (AFM) order for +moderate tetragonal distortion, with easy $a-b$ plane and easy $b$ axis +anisotropies, along with small canting of the dominantly $yz,xz$ orbital +moments. With decreasing tetragonal distortion, we find a magnetic +reorientation transition from the dominantly planar AFM order to a dominantly +$c$ axis ferromagnetic (FM) order with significant $xy$ orbital moment.",2006.02114v2 +2019-12-11,Selective tuning of spin-orbital Kondo contributions in parallel-coupled quantum dots,"We use co-tunneling spectroscopy to investigate spin-, orbital-, and +spin-orbital Kondo transport in a strongly confined system of InAs double +quantum dots (QDs) parallel-coupled to source and drain. In the one-electron +transport regime, the higher symmetry spin-orbital Kondo effect manifests at +orbital degeneracy and no external magnetic field. We then proceed to show that +the individual Kondo contributions can be isolated and studied separately; +either by orbital detuning in the case of spin-Kondo transport, or by spin +splitting in the case of orbital Kondo transport. By varying the inter-dot +tunnel coupling, we show that lifting of the spin degeneracy is key to +confirming the presence of an orbital degeneracy, and to detecting a small +orbital hybridization gap. Finally, in the two-electron regime, we show that +the presence of a spin-triplet ground state results in spin-Kondo transport at +zero magnetic field.",1912.05181v2 +2018-01-25,Spin-relaxation anisotropy in a nanowire quantum dot with strong spin-orbit coupling,"We study the impacts of the magnetic field direction on the spin-manipulation +and the spin-relaxation in a one-dimensional quantum dot with strong spin-orbit +coupling. The energy spectrum and the corresponding eigenfunctions in the +quantum dot are obtained exactly. We find that no matter how large the +spin-orbit coupling is, the electric-dipole spin transition rate as a function +of the magnetic field direction always has a $\pi$ periodicity. However, the +phonon-induced spin relaxation rate as a function of the magnetic field +direction has a $\pi$ periodicity only in the weak spin-orbit coupling regime, +and the periodicity is prolonged to $2\pi$ in the strong spin-orbit coupling +regime.",1801.08349v2 +2012-05-10,"3D quaternionic condensations, Hopf invariants, and skyrmion lattices with synthetic spin-orbit coupling","We study the topological configurations of the two-component condensates of +bosons with the $3$D $\vec{\sigma}\cdot \vec{p}$ Weyl-type spin-orbit coupling +subject to a harmonic trapping potential. The topology of the condensate +wavefunctions manifests in the quaternionic representation. In comparison to +the $U(1)$ complex phase, the quaternionic phase manifold is $S^3$ and the spin +orientations form the $S^2$ Bloch sphere through the 1st Hopf mapping. The +spatial distributions of the quaternionic phases exhibit the 3D skyrmion +configurations, and the spin distributions possess non-trivial Hopf invariants. +Spin textures evolve from the concentric distributions at the weak spin-orbit +coupling regime to the rotation symmetry breaking patterns at the intermediate +spin-orbit coupling regime. In the strong spin-orbit coupling regime, the +single-particle spectra exhibit the Landau-level type quantization. In this +regime, the three-dimensional skyrmion lattice structures are formed when +interactions are below the energy scale of Landau level mixings. Sufficiently +strong interactions can change condensates into spin-polarized plane-wave +states, or, superpositions of two plane-waves exhibiting helical spin spirals.",1205.2162v3 +2013-01-21,Spin-orbit-induced bound state and molecular signature of the degenerate Fermi gas in a narrow Feshbach resonance,"In this paper we explore the spin-orbit-induced bound state and molecular +signature of the degenerate Fermi gas in a narrow Feshbach resonance based on a +generalized two-channel model. Without the atom-atom interactions, only one +bound state can be found even if spin-orbit coupling exists. Moreover, the +corresponding bound-state energy depends strongly on the strength of spin-orbit +coupling, but is influenced slightly by its type. In addition, we find that +when increasing the strength of spin-orbit coupling, the critical point at +which the molecular fraction vanishes shifts from zero to the negative +detuning. In the weak spin-orbit coupling, this shifting is proportional to the +square of its strength. Finally, we also show that the molecular fraction can +be well controlled by spin-orbit coupling.",1301.4718v2 +2015-12-08,Multi-orbital quantum antiferromagnetism in iron pnictides --- effective spin couplings and quantum corrections to sublattice magnetization,"Towards understanding the multi-orbital quantum antiferromagnetism in iron +pnictides, effective spin couplings and spin fluctuation induced quantum +corrections to sublattice magnetization are obtained in the $(\pi,0)$ AF state +of a realistic three band interacting electron model involving $xz$, $yz$, and +$xy$ Fe 3d orbitals. The $xy$ orbital is found to be mainly responsible for the +generation of strong ferromagnetic spin coupling in the $b$ direction, which is +critically important to fully account for the spin wave dispersion as measured +in inelastic neutron scattering experiments. The ferromagnetic spin coupling is +strongly suppressed as the $xy$ band approaches half filling, and is ascribed +to particle-hole exchange in the partially filled $xy$ band. The strongest AF +spin coupling in the $a$ direction is found to be in the orbital off diagonal +sector involving the $xz$ and $xy$ orbitals. First order quantum corrections to +sublattice magnetization are evaluated for the three orbitals, and yield a +significant $37\%$ average reduction from the Hartree-Fock value.",1512.02398v1 +2003-10-01,Rashba coupling in quantum dots: exact solution,"We present an analytic solution to the problem of the Rashba spin-orbit +coupling in semiconductor quantum dots. We calculate the exact energy spectrum, +wave-functions, and spin--flip relaxation times. We discuss various effects +inaccessible via perturbation theory. In particular, we find that the effective +gyromagnetic ratio is strongly suppressed by the spin-orbit coupling. The +spin-flip relaxation rate has a maximum as a function of the spin-orbit +coupling and is therefore suppressed in both the weak- and strong coupling +limits.",0310024v2 +2003-05-30,Mesoscopic effects in adiabatic spin pumping,"We show that temporal shape modulations (pumping) of a quantum dot in the +presence of spin-orbital coupling lead to a finite dc spin current. Depending +on the strength of the spin-orbit coupling, the spin current is polarized +perpendicular to the plane of the two-dimensional electron gas, or has an +arbitrary direction subject to mesoscopic fluctuations. We analyze the +statistics of the spin and charge currents in the adiabatic limit for the full +cross-over from weak to strong spin-orbit coupling.",0306001v2 +2003-10-06,Spin Current in Spin-Orbit Coupling Systems,"We present a simple and pedagogical derivation of the spin current as the +linear response to an external electric field for both Rashba and Luttinger +spin-orbital coupling Hamiltonians. Except for the adiabatic approximation, our +derivation is exact to the linear order of the electric field for both models. +The spin current is a direct result of the difference in occupation levels +between different bands. Moreover, we show a general topological spin current +can be defined for a broad class of spin-orbit coupling systems.",0310093v2 +2006-04-21,Dissipationless spin-current between Heisenberg ferromagnets with spin-orbit coupling,"A system exhibiting multiple simultaneously broken symmetries offers the +opportunity to influence physical phenomena such as tunneling currents by means +of external control parameters. Time-reversal symmetry and inversion symmetry +are both absent in ferromagnetic metals with substantial spin-orbit coupling. +We here study transport of spin in a system consisting of two ferromagnets with +spin-orbit coupling separated by an insulating tunneling junction. A persistent +spin-current across the junction is found, which can be controlled in a +well-defined manner by external magnetic and electric fields. The behavior of +the spin-current for important geometries and limits is studied.",0604510v1 +2007-08-27,Diffusive-Ballistic Crossover and the Persistent Spin Helix,"Conventional transport theory focuses on either the diffusive or ballistic +regimes and neglects the crossover region between the two. In the presence of +spin-orbit coupling, the transport equations are known only in the diffusive +regime, where the spin precession angle is small. In this paper, we develop a +semiclassical theory of transport valid throughout the diffusive - ballistic +crossover of a special SU(2) symmetric spin-orbit coupled system. The theory is +also valid in the physically interesting regime where the spin precession angle +is large. We obtain exact expressions for the density and spin structure +factors in both 2 and 3 dimensional samples with spin-orbit coupling.",0708.3618v1 +2014-03-17,Single-parameter spin-pumping in driven metallic rings with spin-orbit coupling,"We consider the generation of a pure spin-current at zero bias voltage with a +single time-dependent potential. To such end we study a device made of a +mesoscopic ring connected to electrodes and clarify the interplay between a +magnetic flux, spin-orbit coupling and non-adiabatic driving in the production +of a spin and electrical current. By using Floquet theory, we show that the +generated spin to charge current ratio can be controlled by tuning the +spin-orbit coupling.",1403.4265v1 +2005-03-07,Topological Orbital Angular Momentum Hall Current,"We show that there is a fundamental difference between spin Hall current and +orbital angular momentum Hall current in Rashba- Dresselhaus spin orbit +coupling systems. The orbital angular momentum Hall current has a pure +topological contribution which is originated from the existence of magnetic +flux in momentum space while there is no such topological nature for the spin +Hall current. Moreover, we show that the orbital Hall conductance is always +larger than the spin Hall conductance in the presence of both couplings. The +topological part is expected to be free from the effect of disorder due to the +topological nature. Therefore, the orbital angular momentum Hall current should +be the major effect in real experiments.",0503149v2 +2016-07-19,Emergent spin-valley-orbital physics by spontaneous parity breaking,"The spin-orbit coupling in the absence of spatial inversion symmetry plays an +important role in realizing intriguing electronic states in solids, such as +topological insulators and unconventional superconductivity. Usually, the +inversion symmetry breaking is inherent in the lattice structures, and hence, +it is not easy to control these interesting properties by external parameters. +We here theoretically investigate the possibility of generating the +spin-orbital entanglement by spontaneous electronic ordering caused by electron +correlations. In particular, we focus on the centrosymmetric lattices with +local asymmetry at the lattice sites, e.g., zig-zag, honeycomb, and diamond +structures. In such systems, conventional staggered orders, such as charge +order and antiferromagnetic order, break the inversion symmetry and activate +the antisymmetric spin-orbit coupling, which is hidden in a +sublattice-dependent form in the paramagnetic state. Considering a minimal +two-orbital model on a honeycomb lattice, we scrutinize the explicit form of +the antisymmetric spin-orbit coupling for all the possible staggered charge, +spin, orbital, and spin-orbital orders. We show that the complete table is +useful for understanding of spin-valley-orbital physics, such as spin and +valley splitting in the electronic band structure and generalized +magnetoelectric responses in not only spin but also orbital and spin-orbital +channels, reflecting in peculiar magnetic, elastic, and optical properties in +solids.",1607.05782v1 +2022-07-21,"Spin-orbit transitions in the N$^+$($^3P_{J_A}$) + H$_2$ $\rightarrow$ NH$^+$($X^2Π$, $^4Σ^-$)+ H($^2S$) reaction, using adiabatic and mixed quantum-adiabatic statistical approaches","The cross section and rate constants for the title reaction are calculated +for all the spin-orbit states of N$^+$($^3P_{J_A}$) using two statistical +approaches, one purely adiabatic and the other one mixing quantum capture for +the entrance channel and adiabatic treatment for the products channel. This is +made by using a symmetry adapted basis set combining electronic (spin and +orbital) and nuclear angular momenta in the reactants channel. To this aim, +accurate {\it ab initio} calculations are performed separately for reactants +and products. In the reactants channel, the three lowest electronic states +(without spin-orbit couplings) have been diabatized, and the spin-orbit +couplings have been introduced through a model localizing the spin-orbit +interactions in the N$^+$ atom, which yields accurate results as compared to +{\it ab initio} calculations including spin-orbit couplings. For the products, +eleven purely adiabatic spin-orbit states have been determined with {\it ab +initio} calculations. The reactive rate constants thus obtained are in very +good agreement with the available experimental data for several ortho-H$_2$ +fractions, assuming a thermal initial distribution of spin-orbit states. The +rate constants for selected spin-orbit $J_A$ states are obtained, to provide a +proper validation of the spin-orbit effects to obtain the experimental rate +constants.",2207.10360v1 +2016-01-28,Interfacial spin-orbit torque without bulk spin-orbit coupling,"An electric current in the presence of spin-orbit coupling can generate a +spin accumulation that exerts torques on a nearby magnetization. We demonstrate +that, even in the absence of materials with strong bulk spin-orbit coupling, a +torque can arise solely due to interfacial spin-orbit coupling, namely +Rashba-Eldestein effects at metal/insulator interfaces. In magnetically soft +NiFe sandwiched between a weak spin-orbit metal (Ti) and insulator +(Al$_2$O$_3$), this torque appears as an effective field, which is +significantly larger than the Oersted field and sensitive to insertion of an +additional layer between NiFe and Al$_2$O$_3$. Our findings point to new routes +for tuning spin-orbit torques by engineering interfacial electric dipoles.",1601.07687v2 +2023-06-05,Accurate and efficient treatment of spin-orbit coupling via second variation employing local orbitals,"A new method is presented that allows for efficient evaluation of spin-orbit +coupling (SOC) in density-functional theory calculations. In the so-called +second-variational scheme, where Kohn-Sham functions obtained in a +scalar-relativistic calculation are employed as a new basis for the +spin-orbit-coupled problem, we introduce a rich set of local orbitals as +additional basis functions. Also relativistic local orbitals can be used. The +method is implemented in the all-electron full-potential code \exciting. We +show that, for materials with strong SOC effects, this approach can reduce the +overall basis-set size and thus computational costs tremendously.",2306.02965v1 +2011-06-26,Intrinsic spin-orbit coupling in superconducting δ-doped SrTiO3 heterostructures,"We report the violation of the Pauli limit due to intrinsic spin-orbit +coupling in SrTiO3 heterostructures. Via selective doping down to a few +nanometers, a two-dimensional superconductor is formed, geometrically +suppressing orbital pair-breaking. The spin-orbit scattering is exposed by the +robust in-plane superconducting upper critical field, exceeding the Pauli limit +by a factor of 4. Transport scattering times several orders of magnitude higher +than for conventional thin film superconductors enables a new regime to be +entered, where spin-orbit coupling effects arise non-perturbatively.",1106.5193v1 +2020-01-23,Bright solitons in a spin-tensor-momentum-coupled Bose-Einstein condensate,"Synthetic spin-tensor-momentum coupling has recently been proposed to realize +in atomic Bose-Einstein condensates. Here we study bright solitons in +Bose-Einstein condensates with spin-tensor-momentum coupling and spin-orbit +coupling. The properties and dynamics of spin-tensor-momentum-coupled and +spin-orbit-coupled bright solitons are identified to be different. We +contribute the difference to the different symmetries.",2001.08794v1 +2022-01-17,Spin-orbit-coupled superconductivity with spin-singlet non-unitary pairing,"An unconventional superconductor is distinguished with two types of gap +functions: unitary and non-unitary. This core subject has been concentrated on +purely spin-triplet or singlet-triplet mixed superconductors. However, the +generalization to a purely spin-singlet superconductor has remained primarily +of theoretical interest, which requires at least a multi-orbital correlated +electronic systems. In this work, we present a possible establishment of both +unitary and non-unitary pairings for spin-singlet superconductors with two +atomic orbitals. Then we investigate the effects of atomic spin-orbit coupling +and find a new spin-orbit-coupled non-unitary superconductor that supports +exotic phenomena. Remarkably, there are mainly three features. Firstly, the +atomic spin-orbit coupling locks the electron spins to be out-of-plane, which +could give birth to the Type II Ising superconductivity with a large in-plane +upper critical field compared to the Pauli limit. Secondly, topological chiral +or helical Majorana edge state could be realized even in the absence of +external magnetic fields or Zeeman fields. In addition, a spin-polarized +superconducting state could even be generated by spin-singlet non-unitary +pairings with spontaneous time-reversal breaking, which severs as a smoking gun +to detect this exotic state by measuring the spin-resolved density of states. +Therefore, our work might pave a new avenue to spin-orbit-coupled +superconductors with spin-singlet non-unitary pairing symmetries.",2201.06265v2 +2017-12-08,Spin-orbit coupling induced valley Hall effects in transition-metal dichalcogenides,"In transition-metal dichalcogenides, electrons in the K-valleys can +experience both Ising and Rashba spin-orbit couplings. In this work, we show +that the coexistence of Ising and Rashba spin-orbit couplings leads to a +special type of valley Hall effect, which we call spin-orbit coupling induced +valley Hall effect. Importantly, near the conduction band edge, the +valley-dependent Berry curvatures generated by spin-orbit couplings are highly +tunable by external gates and dominate over the intrinsic Berry curvatures +originating from orbital degrees of freedom under accessible experimental +conditions. We show that the spin-orbit coupling induced valley Hall effect is +manifested in the gate dependence of the valley Hall conductivity, which can be +detected by Kerr effect experiments.",1712.02942v2 +2003-06-27,Orbital moment in CoO and in NiO,"The total, orbital and spin moment of the Co2+ ion in CoO has been calculated +within the quasi-atomic approach with taking into account strong correlations, +crystal-field interactions and the intra-atomic spin-orbit coupling. The +orbital moment of 1.39 \mu B amounts at 0 K, in the magnetically-ordered state, +to more than 34% of the total moment (4.01 \mu B). The same calculations yield +for NiO the orbital and total moment of 0.46 \mu B and 2.45 \mu B, +respectively. + PACS No: 71.70.E; 75.10.D + Keywords: 3d magnetism, crystal field, spin-orbit coupling, orbital moment, +CoO, NiO",0306695v2 +2008-02-10,Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes,"Electrons in atoms possess both spin and orbital degrees of freedom. In +non-relativistic quantum mechanics, these are independent, resulting in large +degeneracies in atomic spectra. However, relativistic effects couple the spin +and orbital motion leading to the well-known fine structure in their spectra. +The electronic states in defect-free carbon nanotubes (NTs) are widely believed +to be four-fold degenerate, due to independent spin and orbital symmetries, and +to also possess electron-hole symmetry. Here we report measurements +demonstrating that in clean NTs the spin and orbital motion of electrons are +coupled, thereby breaking all of these symmetries. This spin-orbit coupling is +directly observed as a splitting of the four-fold degeneracy of a single +electron in ultra-clean quantum dots. The coupling favours parallel alignment +of the orbital and spin magnetic moments for electrons and anti-parallel +alignment for holes. Our measurements are consistent with recent theories that +predict the existence of spin-orbit coupling in curved graphene and describe it +as a spin-dependent topological phase in NTs. Our findings have important +implications for spin-based applications in carbon-based systems, entailing new +design principles for the realization of qubits in NTs and providing a +mechanism for all-electrical control of spins in NTs.",0802.1351v1 +2013-09-16,Spin Hot Spots in Single-Electron GaAs-based Quantum Dots,"Spin relaxation of a single electron in a weakly coupled double quantum dot +is calculated numerically. The phonon assisted spin flip is allowed by the +presence of the linear and cubic spin-orbit couplings and nuclear spins. The +rate is calculated as a function of the interdot coupling, the magnetic field +strength and orientation, and the dot bias. In an in-plane magnetic field, the +rate is strongly anisotropic with respect to the magnetic field orientation, +due to the anisotropy of the spin-orbit interactions. The nuclear spin +influence is negligible. In an out-of-plane field, the nuclear spins play a +more important role due selection rules imposed on the spin-orbit couplings. +Our theory shows a very good agreement with data measured in [Srinivasa, et +al., PRL 110, 196803 (2013)], allowing us to extract information on the linear +spin-orbit interactions strengths in that experiment. We estimate that they +correspond to spin-orbit lengths of about 5-15 $\mu$m.",1309.3852v1 +2015-02-18,Quenching of dynamic nuclear polarization by spin-orbit coupling in GaAs quantum dots,"The central-spin problem, in which an electron spin interacts with a nuclear +spin bath, is a widely studied model of quantum decoherence. Dynamic nuclear +polarization (DNP) occurs in central spin systems when electronic angular +momentum is transferred to nuclear spins and is exploited in spin-based quantum +information processing for coherent electron and nuclear spin control. However, +the mechanisms limiting DNP remain only partially understood. Here, we show +that spin-orbit coupling quenches DNP in a GaAs double quantum dot, even though +spin-orbit coupling in GaAs is weak. Using Landau-Zener sweeps, we measure the +dependence of the electron spin-flip probability on the strength and direction +of in-plane magnetic field, allowing us to distinguish effects of the +spin-orbit and hyperfine interactions. To confirm our interpretation, we +measure high-bandwidth correlations in the electron spin-flip probability and +attain results consistent with a significant spin-orbit contribution. We +observe that DNP is quenched when the spin-orbit component exceeds the +hyperfine, in agreement with a theoretical model. Our results shed new light on +the surprising competition between the spin-orbit and hyperfine interactions in +central-spin systems.",1502.05400v1 +2003-10-08,Efficient electron spin manipulation in a quantum well by an in-plane electric field,"Electron spins in a semiconductor quantum well couple to an electric field +{\it via} spin-orbit interaction. We show that the standard spin-orbit coupling +mechanisms can provide extraordinary efficient electron spin manipulation by an +in-plane ac electric field.",0310192v1 +2007-07-26,Quasiclassical approach and spin-orbit coupling,"We discuss the quasiclassical Green function method for a two-dimensional +electron gas in the presence of spin-orbit coupling, with emphasis on the +meaning of the $\xi$-integration procedure. As an application of our approach, +we demonstrate how the spin-Hall conductivity, in the presence of spin-flip +scattering, can be easily obtained from the spin-density continuity equation.",0707.3908v1 +2007-06-04,Kinetic investigation on extrinsic spin Hall effect induced by skew scattering,"The kinetics of the extrinsic spin Hall conductivity induced by the skew +scattering is performed from the fully microscopic kinetic spin Bloch equation +approach in $(001)$ GaAs symmetric quantum well. In the steady state, the +extrinsic spin Hall current/conductivity vanishes for the linear-$\mathbf k$ +dependent spin-orbit coupling and is very small for the cubic-$\mathbf k$ +dependent spin-orbit coupling. The spin precession induced by the +Dresselhaus/Rashba spin-orbit coupling plays a very important role in the +vanishment of the extrinsic spin Hall conductivity in the steady state. An +in-plane spin polarization is induced by the skew scattering, with the help of +the spin-orbit coupling. This spin polarization is very different from the +current-induced spin polarization.",0706.0370v2 +2013-02-05,Inertial effect on spin orbit coupling and spin transport,"We theoretically study the renormalization of inertial effects on the spin +dependent transport of conduction electrons in a semiconductor by taking into +account the interband mixing on the basis of k.p perturbation theory. In our +analysis, for the generation of spin current we have used the extended Drude +model where the spin orbit coupling plays an important role. We predict +enhancement of the spin current resulting from the rerormalized spin orbit +coupling effective in our model in cubic and non cubic crystal. Attention has +been paid to clarify the importance of gauge fields in the spin transport of +this inertial system. A theoretical proposition of a perfect spin filter has +been done through the Aharanov Casher like phase corresponding to this inertial +system. For a time dependent acceleration, effect of $\vec{k} . \vec{p}$ +perturbation on the spin current and spin polarization has also been addressed. +Furthermore, achievement of a tunable source of polarized spin current through +the non uniformity of the inertial spin orbit coupling strength has also been +discussed.",1302.1063v3 +2020-02-04,Isotropic All-electric Spin analyzer based on a quantum ring with spin-orbit coupling,"Here we propose an isotropic all electrical spin analyzer in a quantum ring +with spin-orbit coupling by analytically and numerically modeling how the +charge transmission rates depend on the polarization of the incident spin. The +formalism of spin transmission and polarization rates in an arbitrary direction +is also developed by analyzing the Aharonov-Bohm and the Aharonov-Casher +effects. The topological spin texture induced by the spin-orbit couplings +essentially contributes to the dynamic phase and plays an important role in +spin transport. The spin transport features derived analytically has been +confirmed numerically. This interesting two-dimensional electron system can be +designed as a spin filter, spin polarizer and general analyzer by simply tuning +the spin-orbit couplings, which paves the way for realizing the tunable and +integrable spintronics device.",2002.01151v1 +2006-02-23,Spin-orbit interaction in quantum dots in the presence of exchange correlations,"We discuss the problem of spin-orbit interaction in a 2D chaotic or diffusive +quantum dot in the presence of exchange correlations. Spin-orbit scattering +breaks spin rotation invariance, and in the crossover regime between different +symmetries of the spin-orbit coupling, the problem has no closed solution. A +conventional choice of a many-particle basis in a numerical diagonalization is +the set of Slater determinants built from the single-particle eigenstates of +the one-body Hamiltonian (including the spin-orbit terms). We develop a +different approach based on the use of a good-spin many-particle basis that is +composed of the eigenstates of the universal Hamiltonian in the absence of +spin-orbit scattering. We introduce a complete labelling of this good-spin +basis and use angular momentum algebra to calculate in closed form the matrix +elements of the spin-orbit interaction in this basis. Spin properties, such as +the ground-state spin distribution and the spin excitation function, are easily +calculated in this basis.",0602552v1 +2011-10-30,Quasiparticle velocities in 2D electron/hole liquids with spin-orbit coupling,"We study the influence of spin-orbit interactions on quasiparticle +dispersions in two-dimensional electron and heavy-hole liquids in III-V +semiconductors. To obtain closed-form analytical results, we restrict ourselves +to spin-orbit interactions with isotropic spectrum and work within the screened +Hartree-Fock approximation, valid in the high-density limit. For electrons +having a linear-in-momentum Rashba (or, equivalently, Dresselhaus) spin-orbit +interaction, we show that the screened Hartree-Fock approximation recovers +known results based on the random-phase approximation and we extend those +results to higher order in the spin-orbit coupling. While the well-studied case +of electrons leads only to a weak modification of quasiparticle properties in +the presence of the linear-in-momentum spin-orbit interaction, we find two +important distinctions for hole systems (with a leading nonlinear-in-momentum +spin-orbit interaction). First, the group velocities associated with the two +hole-spin branches acquire a significant difference in the presence of +spin-orbit interactions, allowing for the creation of spin-polarized +wavepackets in zero magnetic field. Second, we find that the interplay of +Coulomb and spin-orbit interactions is significantly more important for holes +than for electrons and can be probed through the quasiparticle group +velocities. These effects should be directly observable in magnetotransport, +Raman scattering, and femtosecond-resolved Faraday rotation measurements. Our +results are in agreement with a general argument on the velocities, which we +formulate for an arbitrary choice of the spin-orbit coupling.",1110.6661v2 +2003-11-04,Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling,"We study theoretically the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction +in one- and two-dimensions in presence of a Rashba spin-orbit (SO) coupling. We +show that rotation of the spin of conduction electrons due to SO coupling +causes a twisted RKKY interaction between localized spins which consists of +three different terms: Heisenberg, Dzyaloshinsky-Moriya, and Ising +interactions. We also show that the effective spin Hamiltonian reduces to the +usual RKKY interaction Hamiltonian in the twisted spin space where the spin +quantization axis of one localized spin is rotated.",0311054v1 +2005-07-13,Role of spin-orbit coupling on the spin triplet pairing in Na_{x}CoO_{2}yH_{2}O I: d-vector under zero magnetic field,"The d-vector in possibile spin triplet superconductor Na_{x}CoO_{2}yH_{2}O is +microscopically investigated on the basis of the multi-orbital Hubbard model +including the atomic spin-orbit coupling. As a result of the perturbation +theory, we obtain the stable spin triplet superconductivity where the p-wave +and f-wave states can be stabilized. If we neglect the spin-orbit coupling, +superconducting state has 6-fold (3-fold) degeneracy in the p-wave (f-wave) +state. This degeneracy is lifted by the spin-orbit coupling. We determine the +d-vector within the linearlized Dyson-Gorkov equation. It is shown that the +d-vector is always along the plane when the pairing symmetry is p-wave, while +it depends on the parameters in case of the f-wave state. The lifting of +degeneracy is significant in the p-wave state while it is very small in the +f-wave state. This is because the first order term with respect to the +spin-orbit coupling is effective in the former case, while it is ineffective in +the latter case. The consistency of these results with NMR and \muSR +measurements are discussed.",0507305v1 +2015-03-02,The Kondo Temperature of a Two-dimensional Electron Gas with Rashba Spin-orbit Coupling,"We use the Hirsch-Fye quantum Monte Carlo method to study the single magnetic +impurity problem in a two-dimensional electron gas with Rashba spin-orbit +coupling. We calculate the spin susceptibility for various values of spin-orbit +coupling, Hubbard interaction, and chemical potential. The Kondo temperatures +for different parameters are estimated by fitting the universal curves of spin +susceptibility. We find that the Kondo temperature is almost a linear function +of Rashba spin-orbit energy when the chemical potential is close to the edge of +the conduction band. When the chemical potential is far away from the band +edge, the Kondo temperature is independent of the spin-orbit coupling. These +results demonstrate that, for single impurity problem in this system, the most +important reason to change the Kondo temperature is the divergence of density +of states near the band edge, and the divergence is induced by the Rashba +spin-orbit coupling.",1503.00449v2 +2013-09-05,Current-induced torques and interfacial spin-orbit coupling,"In bilayer systems consisting of an ultrathin ferromagnetic layer adjacent to +a metal with strong spin-orbit coupling, an applied in-plane current induces +torques on the magnetization. The torques that arise from spin-orbit coupling +are of particular interest. Here, we calculate the current-induced torque in a +Pt-Co bilayer to help determine the underlying mechanism using first principles +methods. We focus exclusively on the analogue to the Rashba torque, and do not +consider the spin Hall effect. The details of the torque depend strongly on the +layer thicknesses and the interface structure, providing an explanation for the +wide variation in results found by different groups. The torque depends on the +magnetization direction in a way similar to that found for a simple Rashba +model. Artificially turning off the exchange spin splitting and separately the +spin-orbit coupling potential in the Pt shows that the primary source of the +""field-like"" torque is a proximate spin-orbit effect on the Co layer induced by +the strong spin-orbit coupling in the Pt.",1309.1356v1 +2022-04-25,Harmonic generation in bent graphene with artificially-enhanced spin-orbit coupling,"We theoretically investigate the nonlinear response of bent graphene, in the +presence of artificially-enhanced spin-orbit coupling, which can occur either +via adatom deposition, or by placing the sheet of bent graphene in contact with +a spin-orbit active substrate. We discuss the interplay between the spin-orbit +coupling and the artificial magnetic field generated by the bending, for both +the cases of Rashba and intrinsic spin-orbit coupling. For the latter, we +introduce a spin-field interaction Hamiltonian addressing directly the electron +spin as a degree of freedom. Our findings reveal that in this case, by +controlling the amount of spin-orbit coupling, it is possible to significantly +tune the spectrum of the nonlinear signal, achieving, in principle, efficient +conversion of light from THz to UV region.",2204.11664v3 +2009-04-07,Curvature-enhanced spin-orbit coupling in a carbon nanotube,"Structure of the spin-orbit coupling varies from material to material and +thus finding the correct spin-orbit coupling structure is an important step +towards advanced spintronic applications. We show theoretically that the +curvature in a carbon nanotube generates two types of the spin-orbit coupling, +one of which was not recognized before. In addition to the topological +phase-related contribution of the spin-orbit coupling, which appears in the +off-diagonal part of the effective Dirac Hamiltonian of carbon nanotubes, there +is another contribution that appears in the diagonal part. The existence of the +diagonal term can modify spin-orbit coupling effects qualitatively, an example +of which is the electron-hole asymmetric spin splitting observed recently, and +generate four qualitatively different behavior of energy level dependence on +parallel magnetic field. It is demonstrated that the diagonal term applies to a +curved graphene as well. This result should be valuable for spintronic +applications of graphitic materials.",0904.1185v2 +2020-03-23,Spin-orbit-coupling-assisted roton softening and superstripes in a Rydberg-dressed Bose-Einstein Condensate,"Rotons can exist in ultracold atomic gases either with long-range +interactions or with spin-orbitcoupled dispersions. We find that two different +kinds of rotons coexist in a joint system combining long-range interactions and +spin-orbit coupling. One roton originates from spin-orbit coupling and two +others come from long-range interactions. Their softening can be controlled +separately. The interesting new phenomenon which we find is that +spin-orbit-coupled roton can push down the energy of one long-range-interaction +roton. The spin-orbit coupling accelerates the softening of this roton. The +post phase of spin-orbit-coupling-assisted roton softening and instability is +identified as a superstripe.",2003.10090v2 +2022-04-14,Double version of the Rashba and Dresselhaus spin-orbit coupling,"The Rashba and Dresselhaus types of spin-orbit coupling are two typical +linear coupling forms. We establish the fundamental physics of a model which +can be viewed as the double version of the Rashba and Dresselhaus spin-orbit +coupling. This model describes the low energy physics of a class of massless +Dirac fermions in spin-orbit systems. The physical properties of the massless +Dirac fermions are determined by the mathematical relations of spin-orbit +coefficients. For equal Rashba and Dresselhauss coupling constants, +k-independent eigenspinors and a persistent spin helix combined with massless +birefringent Dirac fermions emerge in this model. The spin-orbit coupled +systems described by this model have potential technological applications from +spintronics to quantum computation.",2204.06680v1 +2019-04-01,Spin-charge coupled transport in van der Waals systems with random tunneling,"We study the electron and spin transport in a van der Waals system formed by +one layer with strong spin-orbit coupling and a second layer without spin-orbit +coupling, in the regime when the interlayer tunneling is random. We find that +in the layer without intrinsic spin-orbit coupling spin-charge coupled +transport can be induced by two distinct mechanisms. First, the gapless +diffusion modes of the two isolated layers hybridize in the presence of +tunneling, which constitutes a source of spin-charge coupled transport in the +second layer. Second, the random tunneling introduces spin-orbit coupling in +the effective disorder-averaged single-particle Hamiltonian of the second +layer. This results in non-trivial spin transport and, for sufficiently strong +tunneling, in spin-charge coupling. As an example, we consider a van der Waals +system formed by a two-dimensional electron gas (2DEG)--such as graphene--and +the surface of a topological insulator (TI) and show that the proximity of the +TI induces a coupling of the spin and charge transport in the 2DEG. In +addition, we show that such coupling can be tuned by varying the doping of the +TI's surface. We then obtain, for a simple geometry, the current-induced +non-equilibrium spin accumulation (Edelstein effect) caused in the 2DEG by the +coupling of charge and spin transport.",1904.01015v1 +2014-11-14,Spin-orbit coupling and chaotic rotation for eccentric coorbital bodies,"The presence of a co-orbital companion induces the splitting of the well +known Keplerian spin-orbit resonances. It leads to chaotic rotation when those +resonances overlap.",1411.3950v1 +2017-01-03,Universal Absence of Walker Breakdown and Linear Current-Velocity Relation via Spin-Orbit Torques in Coupled and Single Domain Wall Motion,"We consider theoretically domain wall motion driven by spin-orbit and spin +Hall torques. We find that it is possible to achieve universal absence of +Walker breakdown for all spin-orbit torques using experimentally relevant +spin-orbit coupling strengths. For spin-orbit torques other than the pure +Rashba spin-orbit torque, this gives a linear current-velocity relation instead +of a saturation of the velocity at high current densities. The effect is very +robust and is found in both soft and hard magnetic materials, as well as in the +presence of the Dzyaloshinskii-Moriya interaction and in coupled domain walls +in synthetic antiferromagnets, where it leads to very high domain wall +velocities. Moreover, recent experiments have demonstrated that the switching +of a synthetic antiferromagnet does not obey the usual spin Hall +angle-dependence, but that domain expansion and contraction can be selectively +controlled toggling only the applied in-plane magnetic field magnitude and not +its sign. We show for the first time that the combination of spin Hall torques +and interlayer exchange coupling produces the necessary relative velocities for +this switching to occur.",1701.00786v2 +2024-04-09,Hydrostatic pressure control of the spin-orbit proximity effect and spin relaxation in a phosphorene-WSe$_2$ heterostructure,"Effective control of interlayer interactions is a key element in modifying +the properties of van der Waals heterostructures and the next step toward their +practical applications. Focusing on the phosphorene-WSe$_2$ heterostructure, we +demonstrate, using first-principles calculations, how the spin-orbit coupling +can be transferred from WSe$_2$, a strong spin-orbit coupling material, to +phosphorene and further amplified by applying vertical pressure. We simulate +external pressure by changing the interlayer distance between bilayer +constituents and show that it is possible to tune the spin-orbit field of +phosphorene holes in a controllable way. By fitting effective electronic states +of the proposed Hamiltonian to the first principles data, we reveal that the +spin-orbit coupling in phosphorene hole bands is enhanced more than two times +for experimentally accessible pressures up to 17 kbar. Finally, we find that +the pressure-enhanced spin-orbit coupling boosts the Dyakonov-Perel spin +relaxation mechanism, reducing the spin lifetime of phosphorene holes by factor +4.",2404.06097v1 +2019-03-08,Intra- and inter-orbital correlated electron spin dynamics in $\rm Sr_2 Ir O_4$: spin-wave gap and spin-orbit exciton,"Transformation of Coulomb interaction terms to the pseudo-orbital basis +constituted by $J=1/2$ and $3/2$ states arising from spin-orbit coupling +provides a versatile tool. This formalism is applied to investigate magnetic +anisotropy effects on low-energy spin-wave excitations as well as high-energy +spin-orbit exciton modes in $\rm Sr_2 Ir O_4$. The Hund's coupling term +explictly yields easy-plane anisotropy, resulting in gapless (in-plane) and +gapped (out-of-plane) modes, in agreement with recent resonant inelastic x-ray +scattering (RIXS) measurements. The collective mode of inter-orbital, +spin-flip, particle-hole excitations with appropriate interaction strengths and +renormalized spin-orbit gap yields two well-defined propagating spin-orbit +exciton modes, with energy scale and dispersion in good agreement with RIXS +studies.",1903.03360v1 +2005-11-22,Entanglement production in chaotic quantum dots subject to spin-orbit coupling,"We study numerically the production of orbital and spin entangled states in +chaotic quantum dots for non-interacting electrons. The introduction of +spin-orbit coupling permit us to identify signatures of time-reversal symmetry +correlations in the entanglement production previously unnoticed, resembling +weak-(anti)localization quantum corrections to the conductance. We find the +entanglement to be strongly dependent on spin-orbit coupling, showing universal +features for broken time-reversal and spin-rotation symmetries.",0511555v3 +2007-07-30,Temperature Dependence of Rashba Spin-orbit Coupling in Quantum Wells,"We perform an all-optical spin-dynamic measurement of the Rashba spin-orbit +interaction in (110)-oriented GaAs/AlGaAs quantum wells. The crystallographic +direction of quantum confinement allows us to disentangle the contributions to +spin-orbit coupling from the structural inversion asymmetry (Rashba term) and +the bulk inversion asymmetry. We observe an unexpected temperature dependence +of the Rashba spin-orbit interaction strength that signifies the importance of +the usually neglected higher-order terms of the Rashba coupling.",0707.4493v1 +2007-08-19,Coupling of electron rotation with spin in semiconductors,"Account of an intrinsic spin-orbit coupling in the valence bands of common +semiconductors yields the scalar spin-orbit-rotation term in the effective-mass +Hamiltonian of the conduction-band electron. This result is obtained within the +multiband envelope function approximation. Fundamentally, the +spin-orbit-rotation coupling can be described in purely geometric terms as a +consequence of the difference in the Berry phase acquired by the components of +the spin-orbitally mixed Kramers-doublet during its cyclic evolution in the +reciprocal momentum space.",0708.2565v2 +2019-09-01,Switchable Josephson current in junctions with spin-orbit coupling,"We study the Josephson current in two types of lateral junctions with +spin-orbit coupling and an exchange field. The first system (type 1 junction) +consists of superconductors with heavy metal interlayers linked by a +ferromagnetic bridge, such that the spin-orbit coupling is finite only at the +superconductor/heavy metal interface. In the second type (type 2) of system we +assume that the spin orbit coupling is finite in the bridge region. The length +of both junctions is larger than the magnetic decay length such that the +Josephson current is carried uniquely by the long-range triplet component of +the condensate. The latter is generated by the spin-orbit coupling via two +mechanisms, spin precession and inhomogeneous spin-relaxation. We show that the +current can be controlled by rotating the magnetization of the bridge or by +tuning the strength of the spin-orbit coupling in type 2 junctions., and also +discuss how the ground-state of the junction can be tuned from a $0$ to a $\pi$ +phase difference between the superconducting electrodes. In leading order in +the spin-orbit coupling, the spin precession dominates the behavior of the +triplet component and both + junctions behave similarly. However, when spin relaxation effects are +included junction of type 2 offers a wider parameter range in which $0$-$\pi$ +transitions take place.",1909.00401v1 +2004-06-29,Spin current and polarization in impure 2D electron systems with spin-orbit coupling,"We derive the transport equations for two-dimensional electron systems with +spin-orbit interaction and short-range spin-independent disorder. In the limit +of slow spatial variations of the electron distribution we obtain coupled +diffusion equations for the electron density and spin. Using these equations we +calculate electric-field induced spin accumulation in a finite-size sample for +arbitrary ratio between spin-orbit energy splitting and elastic scattering +rate. We demonstrate that the spin-Hall conductivity vanishes in an infinite +system independent of this ratio.",0406730v2 +2011-11-23,Rashba spin torque in an ultrathin ferromagnetic metal layer,"In a two-dimensional ferromagnetic metal layer lacking inversion symmetry, +the itinerant electrons mediate the interaction between the Rashba spin-orbit +interaction and the ferromagnetic order parameter, leading to a Rashba spin +torque exerted on the magnetization. Using Keldysh technique, in the presence +of both magnetism and a spin-orbit coupling, we derive a spin diffusion +equation that provides a coherent description to the diffusive spin dynamics. +The characteristics of the spin torque and its implication on magnetization +dynamics are discussed in the limits of large and weak spin-orbit coupling.",1111.5466v1 +2016-08-07,Spin-orbit coupling in Fe-based superconductors,"We study the spin resonance peak in recently discovered iron-based +superconductors. The resonance peak observed in inelastic neutron scattering +experiments agrees well with predicted results for the extended $s$-wave +($s_\pm$) gap symmetry. Recent neutron scattering measurements show that there +is a disparity between longitudinal and transverse components of the dynamical +spin susceptibility. Such breaking of the spin-rotational invariance in the +spin-liquid phase can occur due to spin-orbit coupling. We study the role of +the spin-orbit interaction in the multiorbital model for Fe-pnictides and show +how it affects the spin resonance feature.",1608.02230v1 +1995-11-26,Spin-flip scattering in the quantum Hall regime,"We present a microscopic theory of spin-orbit coupling in the integer quantum +Hall regime. The spin-orbit scattering length is evaluated in the limit of +long-range random potential. The spin-flip rate is shown to be determined by +rare fluctuations of anomalously high electric field. A mechanism of strong +spin-orbit scattering associated with exchange-induced spontaneous +spin-polarization is suggested. Scaling of the spin-splitting of the +delocalization transition with the strength of spin-orbit and exchange +interactions is also discussed.",9511123v2 +2013-04-09,Spin-orbital liquids in non-Kramers magnet on Kagome lattice,"Localized magnetic moments with crystal-field doublet or pseudo-spin 1/2 may +arise in correlated insulators with even number of electrons and strong +spin-orbit coupling. Such a non-Kramers pseudo-spin 1/2 is the consequence of +crystalline symmetries as opposed to the Kramers doublet arising from +time-reversal invariance, and is necessarily a composite of spin and orbital +degrees of freedom. We investigate possible spin-orbital liquids with fermionic +spinons for such non-Kramers pseudo-spin 1/2 systems on the Kagome lattice. +Using the projective symmetry group analysis, we find {\it ten} new phases that +are not allowed in the corresponding Kramers systems. These new phases are +allowed due to unusual action of the time reversal operation on non-Kramers +pseudo-spins. We compute the spin-spin dynamic structure factor that shows +characteristic features of these non-Kramers spin-orbital liquids arising from +their unusual coupling to neutrons, which is therefore relevant for neutron +scattering experiments. We also point out possible anomalous broadening of +Raman scattering intensity that may serve as a signature experimental feature +for gapless non-Kramers spin-orbital liquids.",1304.2766v1 +2019-06-11,Spin imbalance of charge carriers induced by an electric current,"We analyze the contribution of the inhomogeneous magnetic field induced by an +electrical current to the spin Hall effect in metals. The Zeeman coupling +between the field and the electron spin leads to a spin dependent force, and to +spin accumulation at the edges. We compare the effect of this relativistic +correction to the electron dynamics to the features induced by the spin-orbit +interaction. The effect of current induced magnetic fields on the spin Hall +effect can be comparable to the extrinsic contribution from the spin-orbit +interaction, although it does not require the presence of heavy elements with a +strong spin-orbit interaction. The induced spins are oriented normal to the +metal slab.",1906.04851v1 +2011-10-24,Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique,"The spin of a single electron in an electrically defined quantum dot in a +2DEG can be manipulated by moving the quantum dot adiabatically in a closed +loop in the 2D plane under the influence of applied gate potentials. In this +paper we present analytical expressions and numerical simulations for the +spin-flip probabilities during the adiabatic evolution in the presence of the +Rashba and Dresselhaus linear spin-orbit interactions. We use the Feynman +disentanglement technique to determine the non-Abelian Berry phase and we find +exact analytical expressions for three special cases: (i) the pure Rashba +spin-orbit coupling, (ii) the pure Dresselhause linear spin-orbit coupling, and +(iii) the mixture of the Rashba and Dresselhaus spin-orbit couplings with equal +strength. For a mixture of the Rashba and Dresselhaus spin-orbit couplings with +unequal strengths, we obtain simulation results by solving numerically the +Riccati equation originating from the disentangling procedure. We find that the +spin-flip probability in the presence of the mixed spin-orbit couplings is +generally larger than those for the pure Rashba case and for the pure +Dresselhaus case, and that the complete spin-flip takes place only when the +Rashba and Dresselhaus spin-orbit couplings are mixed symmetrically.",1110.5366v1 +2022-02-10,Local breaking of the spin degeneracy in the vortex states of Ising superconductors: Induced antiphase ferromagnetic order,"Ising spin-orbital coupling is usually easy to identify in the Ising +superconductors via an in-plane critical field enhancement, but we show that +the Ising spin-orbital coupling also manifests in the vortex physics for +perpendicular magnetic fields. By self-consistently solving the Bogoliubov-de +Gennes equations of a model Hamiltonian built on the honeycomb lattice with the +Ising spin-orbital coupling pertinent to the transition metal dichalcogenides, +we numerically investigate the local breaking of the spin and sublattice +degeneracies in the presence of a perpendicular magnetic field. It is revealed +that the ferromagnetic orders are induced inside the vortex core region by the +Ising spin-orbital coupling. The induced magnetic orders are antiphase in terms +of their opposite polarizations inside the two nearest-neighbor vortices with +one of the two polarizations coming dominantly from one sublattice sites, +implying the local breaking of the spin and sublattice degeneracies. The +finite-energy peaks of the local-density-of-states for spin-up and spin-down +in-gap states are split and shifted oppositely by the Ising spin-orbital +coupling, and the relative shifts of them on sublattices $A$ and $B$ are also +of opposite algebraic sign. The calculated results and the proposed scenario +may not only serve as experimental signatures for identifying the Ising +spin-orbital coupling in the Ising superconductors, but also be prospective in +manipulation of electron spins in motion through the orbital effect in the +superconducting vortex states.",2202.04797v1 +2011-01-27,Magnetic excitations in one-dimensional spin-orbital models,"We study the dynamics and thermodynamics of one-dimensional spin-orbital +models relevant for transition metal oxides. We show that collective spin, +orbital, and combined spin-orbital excitations with infinite lifetime can +exist, if the ground state of both sectors is ferromagnetic. Our main focus is +the case of effectively ferromagnetic (antiferromagnetic) exchange for the spin +(orbital) sector, respectively, and we investigate the renormalization of spin +excitations via spin-orbital fluctuations using a boson-fermion representation. +We contrast a mean-field decoupling approach with results obtained by treating +the spin-orbital coupling perturbatively. Within the latter self-consistent +approach we find a significant increase of the linewidth and additional +structures in the dynamical spin structure factor as well as Kohn anomalies in +the spin-wave dispersion caused by the scattering of spin excitations from +orbital fluctuations. Finally, we analyze the specific heat c(T) by comparing a +numerical solution of the model obtained by the density-matrix renormalization +group with perturbative results. At low temperatures T we find numerically c(T) +T pointing to a low-energy effective theory with dynamical critical exponent +z=1.",1101.5301v1 +2016-10-05,Exotic orbits due to spin-spin coupling around Kerr black holes,"We report exotic orbital phenomena of spinning test particles orbiting around +a Kerr black hole, i.e., some orbits of spinning particles are asymmetrical +about the equatorial plane. When a nonspinning test particle orbits around a +Kerr black hole in a strong field region, due to relativistic orbital +precessions, the pattern of trajectories is symmetrical about the equatorial +plane of the Kerr black hole. However, the patterns of the spinning particles' +orbit are no longer symmetrical about the equatorial plane for some orbital +configurations and large spins. We argue that these asymmetrical patterns come +from the spin-spin interactions between spinning particles and Kerr black +holes, because the directions of spin-spin forces can be arbitrary, and +distribute asymmetrically about the equatorial plane.",1610.01534v3 +2023-11-01,Theory of Orbital Pumping,"We develop a theory of orbital pumping, which corresponds to the emission of +orbital currents from orbital dynamics. This phenomenon exhibits two distinct +characteristics compared to spin pumping. Firstly, while spin pumping generates +solely spin (angular momentum) currents, orbital pumping yields both orbital +angular momentum currents and orbital angular position currents. Secondly, +lattice vibrations induce orbital dynamics and associated orbital pumping as +the orbital angular position is directly coupled to the lattice. These pumped +orbital currents can be detected as transverse electric voltages via the +inverse orbital(-torsion) Hall effect, stemming from orbital textures. Our work +proposes a new avenue for generating orbital currents and provides a broader +understanding of angular momentum dynamics encompassing spin, orbital, and +phonon.",2311.00362v1 +2016-06-18,Spin Transport at Interfaces with Spin-Orbit Coupling: Formalism,"We generalize magnetoelectronic circuit theory to account for spin transfer +to and from the atomic lattice via interfacial spin-orbit coupling. This +enables a proper treatment of spin transport at interfaces between a +ferromagnet and a heavy-metal non-magnet. This generalized approach describes +spin transport in terms of drops in spin and charge accumulations across the +interface (as in the standard approach), but additionally includes the +responses from in-plane electric fields and offsets in spin accumulations. A +key finding is that in-plane electric fields give rise to spin accumulations +and spin currents that can be polarized in any direction, generalizing the +Rashba-Edelstein and spin Hall effects. The spin accumulations exert torques on +the magnetization at the interface when they are misaligned from the +magnetization. The additional out-of-plane spin currents exert torques via the +spin-transfer mechanism on the ferromagnetic layer. To account for these +phenomena we also describe spin torques within the generalized circuit theory. +The additional effects included in this generalized circuit theory suggest +modifications in the interpretations of experiments involving spin orbit +torques, spin pumping, spin memory loss, the Rashba-Edelstein effect, and the +spin Hall magnetoresistance.",1606.05758v1 +2020-03-27,Generalized magnetoelectronic circuit theory and spin relaxation at interfaces in magnetic multilayers,"Spin transport at metallic interfaces is an essential ingredient of various +spintronic device concepts, such as giant magnetoresistance, spin-transfer +torque, and spin pumping. Spin-orbit coupling plays an important role in many +such devices. In particular, spin current is partially absorbed at the +interface due to spin-orbit coupling. We develop a general magnetoelectronic +circuit theory and generalize the concept of the spin mixing conductance, +accounting for various mechanisms responsible for spin-flip scattering. For the +special case when exchange interactions dominate, we give a simple expression +for the spin mixing conductance in terms of the contributions responsible for +spin relaxation (i.e., spin memory loss), spin torque, and spin precession. The +spin-memory loss parameter $\delta$ is related to spin-flip transmission and +reflection probabilities. There is no straightforward relation between spin +torque and spin memory loss. We calculate the spin-flip scattering rates for +N|N, F|N, F|F interfaces using the Landauer-B\""uttiker method within the linear +muffin-tin orbital method and determine the values of $\delta$ using circuit +theory.",2003.12221v1 +2015-11-03,Spin-Orbit Coupling Induced Back-action Cooling in Cavity-Optomechanics with a Bose-Einstein Condensate,"We report a spin-orbit coupling induced back-action cooling in an +optomechanical system, composed of a spin-orbit coupled Bose-Einstein +condensate trapped in an optical cavity with one movable end mirror, by +suppressing heating effects of quantum noises. The collective density +excitations of the spin-orbit coupling mediated hyperfine states - serving as +atomic oscillators equally coupled to the cavity field - trigger strongly +driven atomic back-action. We find that the back-action not only revamps +low-temperature dynamics of its own but also provides an opportunity to cool +the mechanical mirror to its quantum mechanical ground state. Further, we +demonstrate that the strength of spin-orbit coupling also superintends dynamic +structure factor and squeezes nonlinear quantum noises, like thermo-mechanical +and photon shot noise, which enhances optomechanical features of hybrid cavity +beyond the previous investigations. Our findings are testable in a realistic +setup and enhance the functionality of cavity-optomechanics with spin-orbit +coupled hyperfine states in the field of quantum optics and quantum +computation.",1511.01109v2 +2008-06-03,Spin-Orbit Coupling in an f-electron Tight-Binding Model,"We extend a tight-binding method to include the effects of spin-orbit +coupling, and apply it to the study of the electronic properties of the +actinide elements Th, U, and Pu. These tight-binding parameters are determined +for the fcc crystal structure using the equivalent equilibrium volumes. In +terms of the single particle energies and the electronic density of states, the +overall quality of the tight-binding representation is excellent and of the +same quality as without spin-orbit coupling. The values of the optimized +tight-binding spin-orbit coupling parameters are comparable to those determined +from purely atomic calculations.",0806.0420v1 +2011-07-04,Anomalous Hall conductivity from the dipole mode of spin-orbit-coupled cold-atom systems,"Motivated by recent experiments [Lin {\it et al.}, Nature {\bf 417}, 83 +(2011)] that engineered spin-orbit coupling in ultra-cold mixtures of bosonic +atoms, we study the dipole oscillation of trapped spin-orbit-coupled +non-condensed Bose and Fermi gases. We find that different directions of +oscillation are coupled by the spin-orbit interactions. The phase difference +between oscillatory motion in orthogonal directions and the trapping +frequencies of the modes are shown to be related to the anomalous Hall +conductivity. Our results can be used to experimentally determine the anomalous +Hall conductivity for cold-atom systems.",1107.0578v1 +2011-08-10,"Erratum: Engineering a p+ip Superconductor: Comparison of Topological Insulator and Rashba Spin-Orbit Coupled Materials [Phys. Rev. B 83, 184520 (2011)]","In this erratum, we revisit the issue of bulk-disorder on proposals to +realize an effective p+ip superconductor from spin-orbit coupled materials. +Contrary to the claim in [Phys. Rev. B 83, 184520 (2011)], we show that the +pair breaking effects of bulk-disorder are negligible, and that bulk disorder +does not suppress the induced superconductivity. This argument does not apply +to our conclusions regarding impurities residing in the spin-orbit coupled +material or disorder at the interface to the bulk superconductor, both of which +tend to suppress superconductivity unless spin-orbit coupling is large.",1108.2260v1 +2013-01-16,Vortex lattice solutions to the Gross-Pitaevskii equation with spin-orbit coupling in optical lattices,"Effective spin-orbit coupling can be created in cold atom systems using +atom-light interaction. We study the BECs in an optical lattice using the +Gross-Pitaevskii equation with spin-orbit coupling. Bloch states for the linear +equation are numerically obtained, and compared with stationary solutions to +the Gross-Pitaevskii equation with nonlinear terms. Various vortex lattice +states are found when the spin-orbit coupling is strong.",1301.3565v1 +2018-11-22,Enhanced Rashba spin-orbit coupling in core-shell nanowires by the interfacial effect,"We report on $\vec{k}\cdot\vec{p}$ calculations of Rashba spin-orbit coupling +controlled by external gates in InAs/InAsP core-shell nanowires. We show that +charge spilling in the barrier material allows for a stronger symmetry breaking +than in homoegenous nano-materials, inducing a specific interface-related +contribution to spin-orbit coupling. Our results qualitatively agree with +recent experiments [S. Futhemeier \textit{et al.}, Nat. Commun. \textbf{7}, +12413 (2016)] and suggest additional wavefunction engineering strategies to +enhance and control spin-orbit coupling.",1811.09088v1 +2017-01-17,Vortex pairs in a spin-orbit coupled Bose-Einstein condensate,"Static and dynamic properties of vortices in a two-component Bose-Einstein +condensate with Rashba spin-orbit coupling are investigated. The mass current +around a vortex core in the plane-wave phase is found to be deformed by the +spin-orbit coupling, and this makes the dynamics of the vortex pairs quite +different from those in a scalar Bose-Einstein condensate. The velocity of a +vortex-antivortex pair is much smaller than that without spin-orbit coupling, +and there exist stationary states. Two vortices with the same circulation move +away from each other or unite to form a stationary state.",1701.04591v1 +2023-07-22,Spin-orbit-coupling-induced phase separation in trapped Bose gases,"In a trapped spin-1/2 Bose-Einstein condensate with miscible interactions, a +two-dimensional spin-orbit coupling can introduce an unconventional spatial +separation between the two components. We reveal the physical mechanism of such +a spin-orbit-coupling-induced phase separation. Detailed features of the phase +separation are identified in a trapped Bose-Einstein condensate. We further +analyze differences of phase separation in Rashba and anisotropic +spin-orbit-coupled Bose gases. An adiabatic splitting dynamics is proposed as +an application of the phase separation.",2307.12177v2 +2000-06-30,On a q-analogue of the spin-orbit coupling,"Based on the tensor method, a q-analoque of the spin-orbit coupling is +introduced in a q-deformed Schroedinger equation, previously derived for a +central potential. Analytic expressions for the matrix elemnets of the +representation j=l\pm 1/2 are derived. The spectra of the harmonic oscillator +and the Coulomb potential are calculated numerically as a function of the +deformation parameter, without and with the spin-orbit coupling. The harmonic +oscillator spectrum presents strong analogies with the bound spectrum of an +Woods-Saxon potential customarily used in nuclear physics. The Coulomb spectrum +simulates relativistic effects. The addition of the spin-orbit coupling +reinforces this picture.",0006081v1 +2011-10-28,Artificial spin-orbit coupling in ultra-cold Fermi superfluids,"We develop a theory for interacting fermions in the presence of spin-orbit +coupling and Zeeman fields, and show that many new superfluids phases, which +are topological in nature, emerge. Depending on values of spin-orbit coupling, +Zeeman fields, and interactions, initially gapped s-wave superfluids acquire +p-wave, d-wave, f-wave and higher angular momentum components, which produce +zeros in the excitation spectrum, rendering the superfluid gapless. Several +multi-critical points, which separate topological superfluid phases from normal +or non-uniform, are accessible depending on spin-orbit coupling, Zeeman fields +or interactions, setting the stage for the study of tunable topological +superfluids.",1110.6364v1 +2014-01-03,Spin-Orbit Coupled Bose Gases at Finite Temperatures,"Spin-orbit coupling is predicted to have dramatic effects on thermal +properties of a two-component atomic Bose gas. We show that in three spatial +dimensions it lowers the critical temperature of condensation and enhances +thermal depletion of the condensate fraction. In two dimensions we show that +spin-orbit coupling destroys superfluidity at any finite temperature, modifying +dramatically the cerebrated Berezinskii-Kosterlitz-Thouless scenario. We +explain this by the increase of the number of low energy states induced by +spin-orbit coupling, enhancing the role of quantum fluctuations.",1401.0575v1 +2021-09-07,Creating moving gap solitons in spin-orbit-coupled Bose-Einstein condensates,"A simple and efficient method to create gap solitons is proposed in a +spin-orbit-coupled spin-1 Bose-Einstein condensate. We find that a free +expansion along the spin-orbit coupling dimension can generate two moving gap +solitons, which are identified from a generalized massive Thirring model. The +dynamics of gap solitons can be controlled by adjusting spin-orbit coupling +parameters.",2109.02871v1 +2023-02-10,Patterning by dynamically unstable spin-orbit-coupled Bose-Einstein condensates,"In a two-dimensional atomic Bose-Einstein condensate, we demonstrate Rashba +spin-orbit coupling can always introduce dynamical instability into specific +zero-quasimomentum states in all parameter regimes. During the evolution of the +zero-quasimomentum states, such spin-orbit-coupling-induced instability can +fragment the states and lead to a dynamically patterning process. + The features of formed patterns are identified from the symmetries of the +Bogoliubov-de Gennes Hamiltonian. We show that spin-orbit-coupled Bose-Einstein +condensates provide an interesting platform for the investigation of pattern +formations.",2302.05101v2 +2017-05-12,Analytical slave-spin mean-field approach to orbital selective Mott insulators,"We use the slave-spin mean-field approach to study particle-hole symmetric +one- and two-band Hubbard models in presence of Hund's coupling interaction. By +analytical analysis of Hamiltonian, we show that the locking of the two +orbitals vs.\,orbital-selective Mott transition can be formulated within a +Landau-Ginzburg framework. By applying the slave-spin mean-field to impurity +problem, we are able to make a correspondence between impurity and lattice. We +also consider the stability of the orbital selective Mott phase to the +hybridization between the orbitals and study the limitations of the slave-spin +method for treating inter-orbital tunnellings in the case of multi-orbital +Bethe lattices with particle-hole symmetry.",1705.04427v1 +2014-11-11,Striped Ferronematic ground states in a spin-orbit coupled $S=1$ Bose gas,"We theoretically establish the mean-field phase diagram of a homogeneous +spin-$1$, spin-orbit coupled Bose gas as a function of the spin-dependent +interaction parameter, the Raman coupling strength and the quadratic Zeeman +shift. We find that the interplay between spin-orbit coupling and +spin-dependent interactions leads to the occurrence of ferromagnetic or +ferronematic phases which also break translational symmetry. For weak Raman +coupling, increasing attractive spin-dependent interactions (as in $^{87}$Rb or +$^7$Li) induces a transition from a uniform to a stripe XY ferromagnet (with no +nematic order). For repulsive spin-dependent interactions however (as in +$^{23}$Na), we find a transition from an $XY$ spin spiral phase ($= 0$ +and uniform total density) with uniaxial nematic order, to a biaxial +ferronematic, where the total density, spin vector and nematic director +oscillate in real space. We investigate the stability of these phases against +the quadratic Zeeman effect, which generally tends to favor uniform phases with +either ferromagnetic or nematic order but not both. We discuss the relevance of +our results to ongoing experiments on spin-orbit coupled, spinor Bose gases.",1411.2990v1 +2018-12-21,Influence of spin-orbit and spin-Hall effects on the spin Seebeck current beyond linear response,"We study the spin transport theoretically in heterostructures consisting of a +ferromagnetic metallic thin film sandwiched between heavy-metal and oxide +layers. The spin current in the heavy metal layer is generated via the spin +Hall effect, while the oxide layer induces at the interface with the +ferromagnetic layer a spin-orbital coupling of the Rashba type. Impact of the +spin Hall effect and Rashba spin-orbit coupling on the spin Seebeck current is +explored with a particular emphasis on nonlinear effects. Technically, we +employ the Fokker-Planck approach and contrast the analytical expressions with +full numerical micromagnetic simulations. We show that when an external +magnetic field is aligned parallel (antiparallel) to the Rashba field, the +spin-orbit coupling enhances (reduces) the spin pumping current. In turn, the +spin Hall effect and the Dzyaloshinskii-Moriya interaction are shown to +increase the spin pumping current.",1812.09270v1 +1998-12-16,Elementary excitations of magnetically ordered systems with orbital degeneracy,"The Holstein-Primakoff transformation is generalized to develop a quantum +flavor wave theory for spin systems with orbital degeneracy. Elementary +excitations consist of spin, orbital, and spin-orbital waves. Spin and +spin-orbital waves couple each other due to orbital anisotropy and Hund's rule, +resulting in new modes observable by inelastic neutron scattering. In the SU(4) +limit, flavor waves are dispersionless along one or more directions, and give +rise to quantum fluctuations of reduced dimensionality.",9812289v1 +2011-10-01,Spin-orbital phase synchronization in the magnetic field-driven electron dynamics in a double quantum dot,"We study the dynamics of an electron confined in a one-dimensional double +quantum dot in the presence of driving external magnetic fields. The orbital +motion of the electron is coupled to the spin dynamics by spin orbit +interaction of the Dresselhaus type. We derive an effective time-dependent +Hamiltonian model for the orbital motion of the electron and obtain a +synchronization condition between the orbital and the spin dynamics. From this +model we deduce an analytical expression for the Arnold tongue and propose an +experimental scheme for realizing the synchronization of the orbital and spin +dynamics.",1110.0114v1 +2013-01-16,Mechanical generation of spin current by spin-rotation coupling,"Spin-rotation coupling, which is responsible for angular momentum conversion +between the electron spin and rotational deformations of elastic media, is +exploited for generating spin current. This method requires neither magnetic +moments nor spin-orbit interaction. The spin current generated in nonmagnets is +calculated in presence of surface acoustic waves. We solve the spin diffusion +equation, extended to include spin-rotation coupling, and find that larger spin +currents can be obtained in materials with longer spin lifetimes. Spin +accumulation induced on the surface is predicted to be detectable by +time-resolved Kerr spectroscopy.",1301.3596v1 +2009-10-30,Gravitational waveforms from unequal-mass binaries with arbitrary spins under leading order spin-orbit coupling,"The paper generalizes the structure of gravitational waves from orbiting +spinning binaries under leading order spin-orbit coupling, as given in the work +by K\""onigsd\""orffer and Gopakumar [PRD 71, 024039 (2005)] for single-spin and +equal-mass binaries, to unequal-mass binaries and arbitrary spin +configurations. The orbital motion is taken to be quasi-circular and the +fractional mass difference is assumed to be small against one. The emitted +gravitational waveforms are given in analytic form.",0910.5931v2 +2022-04-15,Quantum phases of spin-orbital-angular-momentum coupled bosonic gases in optical lattices,"Spin-orbit coupling plays an important role in understanding exotic quantum +phases. In this work, we present a scheme to combine +spin-orbital-angular-momentum (SOAM) coupling and strong correlations in +ultracold atomic gases. Essential ingredients of this setting is the interplay +of SOAM coupling and Raman-induced spin-flip hopping, engineered by lasers that +couples different hyperfine spin states. In the presence of SOAM coupling only, +we find rich quantum phases in the Mott-insulating regime, which support +different types of spin defects such as spin vortex and composite vortex with +antiferromagnetic core surrounded by the outer spin vortex. Based on an +effective exchange model, we find that these competing spin textures are a +result of the interplay of Dzyaloshinskii-Moriya and Heisenberg exchange +interactions. In the presence of both SOAM coupling and Raman-induced spin-flip +hopping, more many-body phases appear, including canted-antiferromagnetic and +stripe phases. Our prediction suggests that SOAM coupling could induce rich +exotic many-body phases in the strongly interacting regime.",2204.07323v2 +2017-08-24,Strong influence of spin-orbit coupling on magnetotransport in two-dimensional hole systems,"With a view to electrical spin manipulation and quantum computing +applications, recent significant attention has been devoted to semiconductor +hole systems, which have very strong spin-orbit interactions. However, +experimentally measuring, identifying, and quantifying spin-orbit coupling +effects in transport, such as electrically-induced spin polarizations and +spin-Hall currents, are challenging. Here we show that the magnetotransport +properties of two dimensional (2D) hole systems display strong signatures of +the spin-orbit interaction. Specifically, the low-magnetic field Hall +coefficient and longitudinal conductivity contain a contribution that is second +order in the spin-orbit interaction coefficient and is non-linear in the +carrier number density. We propose an appropriate experimental setup to probe +these spin-orbit dependent magnetotransport properties, which will permit one +to extract the spin-orbit coefficient directly from the magnetotransport.",1708.07247v2 +2018-07-13,Spin-orbit coupling and correlations in three-orbital systems,"We investigate the influence of spin-orbit coupling $\lambda$ in +strongly-correlated multiorbital systems that we describe by a three-orbital +Hubbard-Kanamori model on a Bethe lattice. We solve the problem at all integer +fillings $N$ with the dynamical mean-field theory using the continuous-time +hybridization expansion Monte Carlo solver. We investigate how the +quasiparticle renormalization $Z$ varies with the strength of spin-orbit +coupling. The behavior can be understood for all fillings except $N=2$ in terms +of the atomic Hamiltonian (the atomic charge gap) and the polarization in the +$j$-basis due to spin-orbit induced changes of orbital degeneracies and the +associated kinetic energy. At $N=2$, $\lambda$ increases $Z$ at small $U$ but +suppresses it at large $U$, thus eliminating the characteristic Hund's metal +tail in $Z(U)$. We also compare the effects of the spin-orbit coupling to the +effects of a tetragonal crystal field. Although this crystal field also lifts +the orbital degeneracy, its effects are different, which can be understood in +terms of the different form of the interaction Hamiltonian expressed in the +respective diagonal single-particle basis.",1807.05106v2 +2013-06-28,"The role of orbital order in the stabilization of the $(π,0)$ ordered magnetic state in a minimal two-band model for iron pnictides","Spin wave excitations and stability of the ($\pi,0$) ordered magnetic state +are investigated in a minimal two-band itinerant-electron model for iron +pnictides. Presence of hopping anisotropy generates a strong ferro-orbital +order in the $d_{xz}$ and $d_{yz}$ Fe orbitals. The orbital order sign is as +observed in experiments. The induced ferro-orbital order strongly enhances the +spin wave energy scale and stabilizes the magnetic state by optimizing the +strength of the emergent AF and F spin couplings through optimal band fillings +in the two orbitals. The calculated spin-wave dispersion is in quantitative +agreement with neutron scattering measurements. Finite inter-orbital Hund's +coupling is shown to further enhance the spin wave energies state by coupling +the two magnetic sub-systems. A more realistic two-band model with less hopping +anisotropy is also considered which yields not only the circular hole pockets, +also correct ferro-orbital order and emergent F spin coupling.",1306.6727v2 +2024-02-02,Photonic Spin-Orbit Coupling Induced by Deep-Subwavelength Structured Light,"We demonstrate both theoretically and experimentally beam-dependent photonic +spin-orbit coupling in a two-wave mixing process described by an equivalent of +the Pauli equation in quantum mechanics. The considered structured light in the +system is comprising a superposition of two orthogonal spin-orbit-coupled +states defined as spin up and spin down equivalents. The spin-orbit coupling is +manifested by prominent pseudo spin precession as well as +spin-transport-induced orbital angular momentum generation in a photonic +crystal film of wavelength thickness. The coupling effect is significantly +enhanced by using a deep-subwavelength carrier envelope, different from +previous studies which depend on materials. The beam-dependent coupling effect +can find intriguing applications; for instance, it is used in precisely +measuring variation of light with spatial resolution up to 15 nm.",2402.01080v1 +2018-01-09,Inverse engineering for fast transport and spin control of spin-orbit-coupled Bose-Einstein condensates in moving harmonic traps,"We investigate fast transport and spin manipulation of tunable +spin-orbit-coupled Bose-Einstein condensates in a moving harmonic trap. +Motivated by the concept of ""shortcuts to adiabaticity"", we design inversely +the time-dependent trap position and spin-orbit coupling strength. By choosing +appropriate boundary conditions we obtain fast transport and spin flip +simultaneously. The non-adiabatic transport and relevant spin dynamics are +illustrated with numerical examples, and compared with the adiabatic transport +with constant spin-orbit-coupling strength and velocity. Moreover, the +influence of nonlinearity induced by interatomic interaction is discussed in +terms of the Gross-Pitaevskii approach, showing the robustness of the proposed +protocols. With the state-of-the-art experiments, such inverse engineering +technique paves the way for coherent control of spin-orbit-coupled +Bose-Einstein condensates in harmonic traps.",1801.02887v1 +2019-08-03,Experimental evidence for Zeeman spin-orbit coupling in layered antiferromagnetic conductors,"Most of solid-state spin physics arising from spin-orbit coupling, from +fundamental phenomena to industrial applications, relies on symmetry-protected +degeneracies. So does the Zeeman spin-orbit coupling, expected to manifest +itself in a wide range of antiferromagnetic conductors. Yet, experimental proof +of this phenomenon has been lacking. Here, we demonstrate that the N\'eel state +of the layered organic superconductor $\kappa$-(BETS)$_2$FeBr$_4$ shows no spin +modulation of the Shubnikov-de Haas oscillations, contrary to its paramagnetic +state. This is unambiguous evidence for the spin degeneracy of Landau levels, a +direct manifestation of the Zeeman spin-orbit coupling. Likewise, we show that +spin modulation is absent in electron-doped Nd$_{1.85}$Ce$_{0.15}$CuO$_4$, +which evidences the presence of N\'eel order in this cuprate superconductor +even at optimal doping. Obtained on two very different materials, our results +demonstrate the generic character of the Zeeman spin-orbit coupling.",1908.01236v2 +2018-03-14,Inter-orbital topological superconductivity in spin-orbit coupled superconductors with inversion symmetry breaking,"We study the superconducting state of multi-orbital spin-orbit coupled +systems in the presence of an orbitally driven inversion asymmetry assuming +that the inter-orbital attraction is the dominant pairing channel. Although the +inversion symmetry is absent, we show that superconducting states that avoid +mixing of spin-triplet and spin-singlet configurations are allowed, and +remarkably, spin-triplet states that are topologically nontrivial can be +stabilized in a large portion of the phase diagram. The orbital-dependent +spin-triplet pairing generally leads to topological superconductivity with +point nodes that are protected by a nonvanishing winding number. We demonstrate +that the disclosed topological phase can exhibit Lifshitz-type transitions upon +different driving mechanisms and interactions, e.g., by tuning the strength of +the atomic spin-orbit and inversion asymmetry couplings or by varying the +doping and the amplitude of order parameter. Such distinctive signatures of the +nodal phase manifest through an extraordinary reconstruction of the low-energy +excitation spectra both in the bulk and at the edge of the superconductor.",1803.05158v2 +2011-12-02,The contribution of spin torque to spin Hall coefficient and spin motive force in spin-orbit coupling system,"We derive rigorously the relativistic angular momentum conservation equation +by means of quantum electrodynamics. The novel nonrelativistic spin current and +torque in the spin-orbit coupling system, up to the order of $1/c^{4}$, are +exactly investigated by using Foldy-Wouthuysen transformation. We find a +perfect spin Hall coefficient including the contribution of spin torque dipole. +A novel spin motive force, analogue to the Lorentz force, is also obtained for +understanding of the spin Hall effect.",1112.0394v1 +2005-09-23,Physical Limits of the ballistic and non-ballistic Spin-Field-Effect Transistor: Spin Dynamics in Remote Doped Structures,"We investigate the spin dynamics and relaxation in remotely-doped two +dimensional electron systems where the dopants lead to random fluctuations of +the Rashba spin-orbit coupling. Due to the resulting random spin precession, +the spin relaxation time is limited by the strength and spatial scale of the +random contribution to the spin-orbit coupling. We concentrate on the role of +the randomness for two systems where the direction of the spin-orbit field does +not depend on the electron momentum: the spin field-effect transistor with +balanced Rashba and Dresselhaus couplings and the (011) quantum well. Both of +these systems are considered as promising for the spintronics applications +because of the suppression of the Dyakonov-Perel' mechanism there makes the +realization of a spin field effect transistor in the diffusive regime possible. +We demonstrate that the spin relaxation through the randomness of spin-orbit +coupling imposes important physical limitations on the operational properties +of these devices.",0509611v1 +2016-08-23,The effect of spin-orbit coupling on the effective-spin correlation in YbMgGaO4,"Motivated by the recent experiments on the triangular lattice spin liquid +YbMgGaO$_4$, we explore the effect of spin-orbit coupling on the effective-spin +correlation of the Yb local moments. We point out the anisotropic interaction +between the effective-spins on the nearest neighbor bonds is sufficient to +reproduce the spin-wave dispersion of the fully polarized state in the presence +of strong magnetic field normal to the triangular plane. We further evaluate +the effective-spin correlation within the mean-field spherical approximation. +We explicitly demonstrate that, the nearest-neighbor anisotropic effective-spin +interaction, originating from the strong spin-orbit coupling, enhances the +effective-spin correlation at the M points in the Brillouin zone. We identify +these results as the strong evidence for the anisotropic interaction and the +strong spin-orbit coupling in YbMgGaO$_4$.",1608.06445v2 +2024-01-27,Interplay of altermagnetism and weak ferromagnetism in two-dimensional RuF$_4$,"Gaining growing attention in spintronics is a class of magnets displaying +zero net magnetization and spin-split electronic bands called altermagnets. +Here, by combining density functional theory and symmetry analysis, we show +that RuF$_4$ monolayer is a two-dimensional $d$-wave altermagnet. Spin-orbit +coupling leads to pronounced spin splitting of the electronic bands at the +$\Gamma$ point by $\sim 100$ meV and turns the RuF$_4$ into a weak ferromagnet +due to non trivial spin-momentum locking that cants the Ru magnetic moments. +The net magnetic moment scales linearly with the spin-orbit coupling strength. +Using group theory we derive an effective spin Hamiltonian capturing the +spin-splitting and spin-momentum locking of the electronic bands. +Disentanglement of the altermagnetic and spin-orbit coupling induced spin +splitting uncovers to which extent the altermagnetic properties are affected by +the spin-orbit coupling. Our results move the spotlight to the non trivial +spin-momentum locking and weak ferromagnetism in the two-dimensional +altermagnets relevant for novel venues in this emerging field of material +science research.",2401.15424v1 +2012-11-09,Interaction induced staggered spin-orbit order in two-dimensional electron gas,"We propose and formulate an interaction induced staggered spin-orbit order as +a new emergent phase of two-dimensional Fermi gases. We show that when some +form of inherent spin-splitting via Rashba-type spin-orbit coupling renders two +helical Fermi surfaces to become significantly `nested', a Fermi surface +instability arises. To lift this degeneracy, a spontaneous symmetry breaking +spin-orbit density wave develops, causing a surprisingly large quasiparticle +gapping with chiral electronic states. Since the staggered spin-orbit order is +associated with a condensation energy, quantified by the gap value, destroying +such spin-orbit interaction costs sufficiently large perturbation field or +temperature or de-phasing time. BiAg$_2$ surface state is shown to be a +representative system for realizing such novel spin-orbit interaction with +tunable and large strength, and the spin-splitting is decoupled from charge +excitations. These functional properties are relevant for spin-electronics, +spin-caloritronics, and spin-Hall effect applications.",1211.2018v1 +2011-07-13,BCS-BEC crossover in spin-orbit coupled two-dimensional Fermi gases,"The recent experimental realization of spin-orbit coupling for ultra-cold +atoms has generated much interest in the physics of spin-orbit coupled +degenerate Fermi gases. Although recently the BCS-BEC crossover in +three-dimensional (3D) spin-orbit coupled Fermi gases has been intensively +studied, the corresponding two-dimensional (2D) crossover physics has remained +unexplored. In this paper, we investigate, both numerically and analytically, +the BCS-BEC crossover physics in 2D degenerate Fermi gases in the presence of a +Rashba type of spin-orbit coupling. We derive the mean field gap and atom +number equations suitable for the 2D spin-orbit coupled Fermi gases and solve +them numerically and self-consistently, from which the dependence of the ground +state properties (chemical potential, superfluid pairing gap, ground state +energy per atom) on the system parameters (e.g., binding energy, spin-orbit +coupling strength) is obtained. Furthermore, we derive analytic expressions for +these ground state quantities, which agree well with our numerical results +within a broad parameter region. Such analytic expressions also agree +qualitatively with previous numerical results for the 3D spin-orbit coupled +Fermi gases, where analytic results are lacked. We show that with an increasing +SOC strength, the chemical potential is shifted by a constant determined by the +SOC strength. The superfluid pairing gap is enhanced significantly in the BCS +limit for strong SOC, but only increases slightly in the BEC limit.",1107.2627v3 +2018-07-19,Three-boson spectrum in the presence of 1D spin-orbit coupling: Efimov's generalized radial scaling law,"Spin-orbit coupled cold atom systems, governed by Hamiltonians that contain +quadratic kinetic energy terms typical for a particle's motion in the usual +Schr\""odinger equation and linear kinetic energy terms typical for a particle's +motion in the usual Dirac equation, have attracted a great deal of attention +recently since they provide an alternative route for realizing fractional +quantum Hall physics, topological insulators, and spintronics physics. The +present work focuses on the three-boson system in the presence of 1D spin-orbit +coupling, which is most relevant to ongoing cold atom experiments. In the +absence of spin-orbit coupling terms, the three-boson system exibits the Efimov +effect: the entire energy spectrum is uniquely determined by the $s$-wave +scattering length and a single three-body parameter, i.e., using one of the +energy levels as input, the other energy levels can be obtained via Efimov's +radial scaling law, which is intimately tied to a discrete scaling symmetry. It +is demonstrated that the discrete scaling symmetry persists in the presence of +1D spin-orbit coupling, implying the validity of a generalized radial scaling +law in five-dimensional space. The dependence of the energy levels on the +scattering length, spin-orbit coupling parameters, and center-of-mass momentum +is discussed. It is conjectured that three-body systems with other types of +spin-orbit coupling terms are also governed by generalized radial scaling laws, +provided the system exhibits the Efimov effect in the absence of spin-orbit +coupling.",1807.07653v1 +2020-10-05,Terrestrial Orbit-Spin Coupling Torque Episodes in Late 2020,"Orbit-spin coupling torques on the Earth in November 2020 are larger than at +any other time between 2000 and 2050. This affords an opportunity to observe +the terrestrial atmospheric response to the putative torque in near real time.",2010.02289v1 +2006-01-30,Electric Dipole Induced Spin Resonance in Quantum Dots,"An alternating electric field, applied to a quantum dot, couples to the +electron spin via the spin-orbit interaction. We analyze different types of +spin-orbit coupling known in the literature and find two efficient mechanisms +of spin control in quantum dots. The linear in momentum Dresselhaus and Rashba +spin-orbit couplings give rise to a fully transverse effective magnetic field +in the presence of a Zeeman splitting at lowest order in the spin-orbit +interaction. The cubic in momentum Dresselhaus terms are efficient in a quantum +dot with non-harmonic confining potential and give rise to a spin-electric +coupling proportional to the orbital magnetic field. We derive an effective +spin Hamiltonian, which can be used to implement spin manipulation on a +timescale of $10 {\rm ns}$ with the current experimental setups.",0601674v2 +2001-11-22,Theory for high spin systems with orbital degeneracy,"High-spin systems with orbital degeneracy are studied in the large spin +limit. In the absence of Hund's coupling, the classical spin model is mapped +onto disconnected orbital systems with spins up and down, respectively. The +ground state of the isotropic model is an orbital valence bond state where each +bond is an orbital singlet with parallel spins, and neighbouring bonds interact +antiferromagnetically. The possible relevance to the transition metal oxides +are discussed.",0111426v1 +2015-03-23,Spin-Orbit Torques in Two-Dimensional Rashba Ferromagnets,"Magnetization dynamics in single-domain ferromagnets can be triggered by +charge current if spin-orbit coupling is sufficiently strong. We apply +functional Keldysh theory to investigate Rashba spin-orbit torques in metallic +two-dimensional ferromagnets. A reactive, anti-damping-like spin-orbit torque +as well as a dissipative, field-like torque are calculated microscopically, to +the leading order in the spin-orbit interaction strength. By calculating the +first vertex correction we show that the intrinsic anti-damping-like torque +vanishes unless the scattering rates are spin-dependent.",1503.06872v2 +2024-03-11,Spin-orbit coupling in symmetric and mixed spin-symmetry,"Synthetically spin-orbit coupling in cold atoms couples the pseudo-spin and +spatial degrees of freedom, and therefore the inherent spin symmetry of the +system plays an important role. In systems of two pseudo-spin degrees, two +particles configure symmetric states and anti-symmetric states, but the spin +symmetry can be mixed for more particles. We study the role of mixed spin +symmetry in the presence of spin-orbit coupling and consider the system of +three bosons with two hyper-fine states trapped in a harmonic potential. We +investigate the ground state and the energy spectrum by implementing exact +diagonalization. It is found that the interplay between spin-orbit coupling and +repulsive interactions between anti-aligned pseudo-spins increases the +population of the unaligned spin components in the ground state. The emergence +of the mixed spin symmetric states compensates for the rise of the interaction +energy. With the aligned interaction on, the avoided crossing between the +ground state and the first excited state is observed only for small +interaction, and this causes shape changes in the spin populations. +Furthermore, we find that the pair correlation of the ground state shows +similarly to that of Tonks-Girardeau gas even for relatively small contact +interactions and such strong interaction feature is enhanced by the spin-orbit +coupling.",2403.07188v1 +2012-06-04,Von Neumann Entropy Spectra and Entangled Excitations in Spin-Orbital Models,"We consider the low-energy excitations of one-dimensional spin-orbital models +which consist of spin waves, orbital waves, and joint spin-orbital excitations. +Among the latter we identify strongly entangled spin-orbital bound states which +appear as peaks in the von Neumann entropy (vNE) spectral function introduced +in this work. The strong entanglement of bound states is manifested by a +universal logarithmic scaling of the vNE with system size, while the vNE of +other spin-orbital excitations saturates. We suggest that spin-orbital +entanglement can be experimentally explored by the measurement of the dynamical +spin-orbital correlations using resonant inelastic x-ray scattering, where +strong spin-orbit coupling associated with the core hole plays a role.",1206.1062v1 +2004-07-16,Influences of spin accumulation on the intrinsic spin Hall effect in two dimensional electron gases with Rashba spin-orbit coupling,"In a two dimensional electron gas with Rashba spin-orbit coupling, the +external electric field may cause a spin Hall current in the direction +perpendicular to the electric field. This effect was called the intrinsic spin +Hall effect. In this paper, we investigate the influences of spin accumulation +on this intrinsic spin Hall effect. We show that due to the existence of +boundaries in a real sample, the spin Hall current generated by the intrinsic +spin Hall effect will cause spin accumulation near the edges of the sample, and +in the presence of spin accumulation, the spin Hall conductivity will not have +a universal value. The influences of spin accumulation on the intrinsic spin +Hall effect in narrow strips of two dimensional electron gases with Rashba +spin-orbit coupling are investigated in detail.",0407419v1 +2020-08-03,Interfacial spin-orbit torques,"Spin-orbit torques offer a promising mechanism for electrically controlling +magnetization dynamics in nanoscale heterostructures. While spin-orbit torques +occur predominately at interfaces, the physical mechanisms underlying these +torques can originate in both the bulk layers and at interfaces. Classifying +spin-orbit torques based on the region that they originate in provides clues as +to how to optimize the effect. While most bulk spin-orbit torque contributions +are well studied, many of the interfacial contributions allowed by symmetry +have yet to be fully explored theoretically and experimentally. To facilitate +progress, we review interfacial spin-orbit torques from a semiclassical +viewpoint and relate these contributions to recent experimental results. Within +the same model, we show the relationship between different interface transport +parameters. For charges and spins flowing perpendicular to the interface, +interfacial spin-orbit coupling both modifies the mixing conductance of +magnetoelectronic circuit theory and gives rise to spin memory loss. For +in-plane electric fields, interfacial spin-orbit coupling gives rise to torques +described by spin-orbit filtering, spin swapping and precession. In addition, +these same interfacial processes generate spin currents that flow into the +non-magnetic layer. For in-plane electric fields in trilayer structures, the +spin currents generated at the interface between one ferromagnetic layer and +the non-magnetic spacer layer can propagate through the non-magnetic layer to +produce novel torques on the other ferromagnetic layer.",2008.01182v1 +2019-08-02,Two-dimensional orbital Hall insulators,"The orbital-Hall effect (OHE), similarly to the spin-Hall effect (SHE), +refers to the creation of a transverse flow of orbital angular momentum that is +induced by a longitudinally applied electric field. For systems in which the +spin-orbit coupling (SOC) is sizeable, the orbital and spin angular momentum +degrees of freedom are coupled, and an interrelationship between charge, spin +and orbital angular momentum excitations is naturally established. The OHE has +been explored mostly in metallic systems, where it can be quite strong. +However, several of its features remain unexplored in two-dimensional (2D) +materials. Here, we investigate the role of orbital textures for the OHE +displayed by multi-orbital 2D materials. We predict the appearance of a rather +large orbital Hall effect in these systems both in their metallic and +insulating phases. In some cases, the orbital Hall currents are larger than the +spin Hall ones, and their use as information carriers widens the development +possibilities of novel spin-orbitronic devices.",1908.00927v2 +2023-05-10,Inverse orbital Hall effect and orbitronic terahertz emission observed in the materials with weak spin-orbit coupling,"The Orbital Hall effect, which originates from materials with weak spin-orbit +coupling, has attracted considerable interest for spin-orbitronic applications. +Here, we demonstrate the inverse effect of the orbital Hall effect and observe +orbitronic terahertz emission in the Ti and Mn materials. Through spin-orbit +transition in the ferromagnetic layer, the generated orbital current can be +converted to charge current in the Ti and Mn layers via the inverse orbital +Hall effect. Furthermore, the inserted W layer provides an additional +conversion of the orbital-charge current in the Ti and Mn layers, significantly +enhancing the orbitronic terahertz emission. Moreover, the orbitronic terahertz +emission can be manipulated by cooperating with the inverse orbital Hall effect +and the inverse spin Hall effect in the different sample configurations. Our +results not only discover the physical mechanism of condensed matter physics +but also pave the way for designing promising spin-orbitronic devices and +terahertz emitters.",2305.05830v1 +2024-01-11,Orbital Hanle Magnetoresistance in a 3d Transition Metal,"The Hanle magnetoresistance is a telltale signature of spin precession in +nonmagnetic conductors, in which strong spin-orbit coupling generates edge spin +accumulation via the spin Hall effect. Here, we report the existence of a large +Hanle magnetoresistance in single layers of Mn with weak spin-orbit coupling, +which we attribute to the orbital Hall effect. The simultaneous observation of +a sizable Hanle magnetoresistance and vanishing small spin Hall +magnetoresistance in BiYIG/Mn bilayers corroborates the orbital origin of both +effects. We estimate an orbital Hall angle of 0.016, an orbital relaxation time +of 2 ps and diffusion length of the order of 2 nm in disordered Mn. Our +findings indicate that current-induced orbital moments are responsible for +magnetoresistance effects comparable to or even larger than those determined by +spin moments, and provide a tool to investigate nonequilibrium orbital +transport phenomena.",2401.05703v1 +2020-03-01,Spin-orbit interaction and spin selectivity for tunneling electron transfer in DNA,"Electron transfer (ET) in biological molecules such as peptides and proteins +consists of electrons moving between well defined localized states (donors to +acceptors) through a tunneling process. Here we present an analytical model for +ET by tunneling in DNA, in the presence of Spin-Orbit (SO) interaction, to +produce a strong spin asymmetry with the intrinsic atomic SO strength in meV +range. We obtain a Hamiltonian consistent with charge transport through $\pi$ +orbitals on the DNA bases and derive the behavior of ET as a function of the +injection state momentum, the spin-orbit coupling and barrier length and +strength. A highly consistent scenario arises where two concomitant mechanisms +for spin selection arises; spin interference and differential spin amplitude +decay. High spin filtering can take place at the cost of reduced amplitude +transmission assuming realistic values for the spin-orbit coupling. The spin +filtering scenario is completed by addressing the spin dependent torque under +the barrier, with a consistent conserved definition for the spin current.",2003.00582v2 +2013-05-16,Interplay between spin-orbit interactions and a time-dependent electromagnetic field in monolayer graphene,"We apply a circularly and linearly polarized terahertz field on a monolayer +of graphene taking into account spin-orbit interactions of the intrinsic and +Rashba type. It turns out that the field can not only be used to induce a gap +in the energy spectrum, but also to close an existing gap due to the different +reaction of the spin components on circularly polarized light. Signatures of +spin-orbit coupling on the density of states of the driven system can be +observed even for energies where the static density of states is independent of +spin-orbit interactions. Furthermore it is shown that the time evolution of the +spin polarization and the orbital dynamics of an initial wave packet can be +modulated by varying the ratio of the spin-orbit coupling parameters. Assuming +that the system acquires a quasi stationary state, the optical conductivity of +the irradiated sample is calculated. Our results confirm the multi step nature +of the conductivity obtained recently, where the number of intermediate steps +can be changed by adjusting the spin-orbit coupling parameters and the +orientation of the field.",1305.3810v2 +2024-03-14,Spin-Orbit Coupled Insulators and Metals on the Verge of Kitaev Spin Liquids in Ilmenite Heterostructures,"Competition and cooperation between electron correlation and relativistic +spin-orbit coupling give rise to diverse exotic quantum phenomena in solids. An +illustrative example is spin-orbit entangled quantum liquids, which exhibit +remarkable features such as topological orders and fractional excitations. The +Kitaev honeycomb model realizes such interesting states, called the Kitaev spin +liquids, but its experimental feasibility is still challenging. Here we +theoretically investigate hexagonal heterostructures including a candidate for +the Kitaev magnets, MgIrO$_3$, to actively manipulate the electronic and +magnetic properties toward realizing the Kitaev spin liquids. For three +different structure types of ilmenite bilayers MgIrO$_3$/$A$TiO$_3$ with $A$ = +Mn, Fe, Co, and Ni, we obtain the optimized lattice structures, the electronic +band structures, the stable magnetic orders, and the effective magnetic +couplings. We find that the spin-orbital coupled bands characterized by the +pseudospin $j_{\rm eff}=$ 1/2 are retained in the MgIrO$_3$ layer for all the +heterostructures, but the magnetic state and the band gap depend on the types +of heterostructures as well as the $A$ atoms. In particular, one type becomes +metallic irrespective of $A$, while the other two are mostly insulating. We +show that the insulating cases provide spin-orbit coupled Mott insulating +states with dominant Kitaev-type interactions, accompanied by different +combinations of subdominant interactions depending on the heterostructural type +and $A$, while the metallic cases realize spin-orbit coupled metals with +various doping rates. Our results indicate that these hexagonal +heterostructures are a good platform for engineering electronic and magnetic +properties of the spin-orbital coupled correlated materials, including the +possibility of Majorana Fermi surfaces and topological superconductivity.",2403.09112v1 +2013-08-15,Spintronics and Pseudospintronics in Graphene and Topological Insulators,"The two-dimensional electron systems in graphene and in topological +insulators are described by massless Dirac equations. Although the two systems +have similar Hamiltonians, they are polar opposites in terms of spin-orbit +coupling strength. We briefly review the status of efforts to achieve long spin +relaxation times in graphene with its weak spin-orbit coupling, and to achieve +large current-induced spin polarizations in topological-insulator surface +states that have strong spin-orbit coupling. We also comment on differences +between the magnetic responses and dilute-moment coupling properties of the two +systems, and on the pseudospin analog of giant magnetoresistance in bilayer +graphene.",1308.3428v1 +2012-06-05,Spin-Orbit Coupling in LaAlO$_3$/SrTiO$_3$ interfaces: Magnetism and Orbital Ordering,"The combination of Rashba spin-orbit coupling and electron correlations can +induce unusual phenomena in the metallic interface between SrTiO$_3$ and +LaAlO$_3$. We consider effects of Rashba spin-orbit coupling at this interface +in the context of the recent observation of anisotropic magnetism. Firstly, we +show how Rashba spin-orbit coupling in a system near a band-edge can account +for the observed magnetic anisotropy. Secondly, we investigate the coupling +between in-plane magnetic-moment anisotropy and nematicity in the form of an +orbital imbalance between d$_{xz}$ / d$_{yz}$ orbitals. We estimate this +coupling to be substantial in the low electron density regime. Such an orbital +ordering can affect magneto transport.",1206.1060v2 +2016-06-24,Low-energy physics of three-orbital impurity model with Kanamori interaction,"We discuss the low-energy physics of the three-orbital Anderson impurity +model with the Coulomb interaction term of the Kanamori form which has orbital +SO(3) and spin SU(2) symmetry and describes systems with partially occupied +$t_{2g}$ shells. We focus on the case with two electrons in the impurity that +is relevant to Hund's metals. Using the Schrieffer-Wolff transformation we +derive an effective Kondo model with couplings between the bulk and impurity +electrons expressed in terms of spin, orbital, and orbital quadrupole +operators. The bare spin-spin Kondo interaction is much smaller than the +orbit-orbit and spin-orbital couplings or is even ferromagnetic. Furthermore, +the perturbative scaling equations indicate faster renormalization of the +couplings related to orbital degrees of freedom compared to spin degrees of +freedom. Both mechanisms lead to a slow screening of the local spin moment. The +model thus behaves similarly to the related quantum impurity problem with a +larger SU(3) orbital symmetry (Dworin-Narath interaction) where this was first +observed. We find that the two problems actually describe the same low-energy +physics since the SU(3) symmetry is dynamically established through the +renormalization of the splittings of coupling constants to zero. The +perturbative renormalization group results are corroborated with the +numerical-renormalization group (NRG) calculations. The dependence of spin +Kondo temperatures and orbital Kondo temperatures as a function of interaction +parameters, the hybridization, and the impurity occupancy is calculated and +discussed.",1606.07654v1 +2016-05-16,Characteristics of persistent spin current components in a quasi-periodic Fibonacci ring with spin-orbit interactions: Prediction of spin-orbit coupling and on-site energy,"In the present work we investigate the behavior of all three components of +persistent spin current in a quasi-periodic Fibonacci ring subjected to Rashba +and Dresselhaus spin-orbit interactions. Analogous to persistent charge current +in a conducting ring where electrons gain a Berry phase in presence of magnetic +flux, spin Berry phase is associated during the motion of electrons in presence +of a spin-orbit field which is responsible for the generation of spin current. +The interplay between two spin-orbit fields along with quasi-periodic Fibonacci +sequence on persistent spin current is described elaborately, and from our +analysis, we can estimate the strength of any one of two spin-orbit couplings +together with on-site energy, provided the other is known.",1605.04716v2 +2013-01-27,Kondo Effect in the Presence of Spin-Orbit Coupling,"Recently, a series of noncentrosymmetric superconductors has been a subject +of considerable interest since the discovery of superconductivity in CePt_3Si. +In noncentrosymmetric materials, the degeneracy of bands is lifted in the +presence of spin-orbit coupling. This will bring about new effects in the Kondo +effect since the band degeneracy plays an important role in the scattering of +electrons by localized spins. We investigate the single-impurity Kondo problem +in the presence of spin-orbit coupling. We examine the effect of spin-orbit +coupling on the scattering of conduction electrons, by using the Green's +function method, for the s-d Hamiltonian, with employing a decoupling +procedure. As a result, we obtain a closed system of equations of Green's +functions, from which we can calculate physical quantities. The Kondo +temperature T_K is estimated from a singularity of Green's functions. We show +that T_K is reduced as the spin-orbit coupling constant \alpha is increased. +When 2\alpha k_F is comparable to or greater than k_BT_K(\alpha=0), T_K shows +an abrupt decrease as a result of the band splitting. This suggests a Kondo +collapse accompanied with a sharp decrease of T_K. The log T-dependence of the +resistivity will be concealed by the spin-orbit interaction.",1301.6355v1 +2002-06-20,Spin switching in semiconductor quantum dots through spin-orbit coupling,"The spin-orbit coupling influences the total spin of semiconductor quantum +dots. We analyze the theoretical prediction for the combined effects of +spin-orbit coupling, weak vertical magnetic fields and deformation of the dot. +Our results allow the characterization of the quantum dots as spin switches, +controllable with electric gates.",0206387v2 +2002-08-22,Electronic spin precession in semiconductor quantum dots with spin-orbit coupling,"The electronic spin precession in semiconductor dots is strongly affected by +the spin-orbit coupling. We present a theory of the electronic spin resonance +at low magnetic fields that predicts a strong dependence on the dot occupation, +the magnetic field and the spin-orbit coupling strength. Coulomb interaction +effects are also taken into account in a numerical approach.",0208425v1 +2005-02-16,Vanishing of the Dissipationless Spin Hall Effect in a Diffusive Two-Dimensional Electron Gas with Spin-Orbit Coupling,"We propose a nonequilibrium Green's function approach to study the spin-Hall +effect in a two-dimensional electron system with both the Rashba and +Dresselhaus spin-orbit couplings. By taking into account the long-range +electron-impurity scattering, the derived kinetic equations are solved +numerically. It is found the vanishing of the total zero-temperature +dissipationless spin-Hall effect, contributing from the intrinsic and +disorder-mediated processes. This result has been examined in the wide ranges +of spin-orbit coupling constants and electron density.",0502392v1 +2012-03-29,Soliton Magnetization Dynamics in Spin-Orbit Coupled Bose-Einstein Condensates,"Ring-trapped Bose-Einstein condensates subject to spin-orbit coupling support +localized dark soliton excitations that show periodic density dynamics in real +space. In addition to the density feature, solitons also carry a localized +pseudo-spin magnetization that exhibits a rich and tunable dynamics. Analytic +results for Rashba-type spin-orbit coupling and spin-invariant interactions +predict a conserved magnitude and precessional motion for the soliton +magnetization that allows for the simulation of spin-related geometric phases +recently seen in electronic transport measurements.",1203.6684v1 +2012-03-19,Spin-orbit couplings between distant electrons trapped individually on liquid helium,"We propose an approach to entangle spins of electrons floating on liquid +helium by coherently manipulating their spin-orbit interactions. The +configuration consists of single electrons, confined individually on liquid +helium by the microelectrodes, moving along the surface as the harmonic +oscillators. It has been known that the spin of an electron could be coupled to +its orbit (i.e., the vibrational motion) by properly applying a magnetic field. +Based on this single electron spin-orbit coupling, here we show that a +Jaynes-Cummings (JC) type interaction between the spin of an electron and the +orbit of another electron at a distance could be realized via the strong +Coulomb interaction between the electrons. Consequently, the proposed JC +interaction could be utilized to realize a strong orbit-mediated spin-spin +coupling and implement the desirable quantum information processing between the +distant electrons trapped individually on liquid helium.",1203.4079v2 +2012-01-08,Spin-orbit coupled Fermi liquid theory of ultra-cold magnetic dipolar fermions,"We investigate Fermi liquid states of the ultra-cold magnetic dipolar Fermi +gases in the simplest two-component case including both thermodynamic +instabilities and collective excitations. The magnetic dipolar interaction is +invariant under the simultaneous spin-orbit rotation, but not under either the +spin or the orbit one. Therefore, the corresponding Fermi liquid theory is +intrinsically spin-orbit coupled. This is a fundamental feature of magnetic +dipolar Fermi gases different from electric dipolar ones. The Landau +interaction matrix is calculated and is diagonalized in terms of the spin-orbit +coupled partial-wave channels of the total angular momentum J. The leading +thermodynamic instabilities lie in the channels of ferromagnetism hybridized +with the ferronematic order with J = 1+ and the spin-current mode with J = 1-, +where + and - represent even and odd parities, respectively. An exotic +propagating collective mode is identified as spin-orbit coupled Fermi surface +oscillations in which spin distribution on the Fermi surface exhibits a +topologically nontrivial hedgehog configuration.",1201.1607v3 +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 +2018-09-28,Spin-orbit crossed susceptibility in topological Dirac semimetals,"We theoretically study the spin-orbit crossed susceptibility of topological +Dirac semimetals. Because of strong spin-orbit coupling, the orbital motion of +electrons is modulated by Zeeman coupling, which contributes to orbital +magnetization. We find that the spin-orbit crossed susceptibility is +proportional to the separation of the Dirac points and it is highly +anisotropic. The orbital magnetization is induced only along the rotational +symmetry axis. We also study the conventional spin susceptibility. The spin +susceptibility exhibits anisotropy and the spin magnetization is induced only +along the perpendicular to the rotational symmetry axis in contrast to the +spin-orbit crossed susceptibility. We quantitatively compare the two +susceptibilities and find that they can be comparable.",1809.10852v2 +2019-03-29,Spin-Orbital Hallmarks of Unconventional Superconductors Without Inversion Symmetry,"The spin-orbital polarization of superconducting excitations in momentum +space is shown to provide distinctive marks of unconventional pairing in the +presence of inversion symmetry breaking.Taking the prototypical example of an +electronic system with atomic spin-orbit and orbital-Rashba couplings, we +provide a general description of the spin-orbital textures and their most +striking changeover moving from the normal to the superconducting state. We +find that the variation of the spin-texture is strongly imprinted by the +combination of the misalignment of spin-triplet d-vector with the inversion +asymmetry g-vector coupling and the occurrence of superconducting nodal +excitations. Remarkably, the multi-orbital character of the superconducting +state allows to unveil a unique type of topological transition for the +spin-winding around the nodal points. This finding indicates the fundamental +topological relation between chiral and spin-winding in nodal superconductors. +By analogy between spin- and orbital-triplet pairing we point out how orbital +polarization patterns can be also employed to assess the character of the +superconducting state.",1903.12379v2 +2024-03-21,Spin-orbit interaction with large spin in the semi-classical regime,"We consider the time dependent Schr\""odinger equation with a coupling +spin-orbit in the semi-classical regime $\hbar\searrow 0$ and large spin number +$\spin\rightarrow +\infty$ such that $\hbar^\delta\spin=c$ where $c>0$ and +$\delta>0$ are constant. The initial state $\Psi(0)$ is a product of an orbital +coherent state in $L^2(\R^d)$ and a spin coherent state in a spin irreducible +representation space ${\mathcal H}_{2\spin +1}$. For $\delta <1$, at the +leading order in $\hbar$, the time evolution $\Psi(t)$ of $ \Psi(0)$ is well +approximated by the product of an orbital and a spin coherent state. +Nevertheless for $1/2<\delta<1$ the quantum orbital leaves the classical +orbital. For $\delta=1$ we prove that this last claim is no more true when the +interaction depends on the orbital variables. + For the Dicke model, we prove that the orbital partial trace of the projector +on $\Psi(t)$ is a mixed state in $L^2(\R)$ for small $t>0$.",2403.14408v1 +2011-12-19,Counterflow of spontaneous mass currents in trapped spin-orbit coupled Fermi gases,"We use the Bogoliubov-de Gennes formalism and study the ground-state phases +of trapped spin-orbit coupled Fermi gases in two dimensions. Our main finding +is that the presence of a symmetric (Rashba type) spin-orbit coupling +spontaneously induces counterflowing mass currents in the vicinity of the trap +edge, i.e. $\uparrow$ and $\downarrow$ particles circulate in opposite +directions with equal speed. These currents flow even in noninteracting +systems, but their strength decreases toward the molecular BEC limit, which can +be achieved either by increasing the spin-orbit coupling or the interaction +strength. These currents are also quite robust against the effects of +asymmetric spin-orbit couplings in $x$ and $y$ directions, gradually reducing +to zero as the spin-orbit coupling becomes one dimensional. We compare our +results with those of chiral p-wave superfluids/superconductors.",1112.4468v2 +2012-03-13,Impact of Dresselhaus vs. Rashba spin-orbit coupling on the Holstein polaron,"We utilize an exact variational numerical procedure to calculate the ground +state properties of a polaron in the presence of Rashba and linear Dresselhaus +spin-orbit coupling. We find that when the linear Dresselhaus spin-orbit +coupling approaches the Rashba spin-orbit coupling, the Van-Hove singularity in +the density of states will be shifted away from the bottom of the band and +finally disappear when the two spin-orbit couplings are tuned to be equal. The +effective mass will be suppressed; the trend will become more significant for +low phonon frequency. The presence of two dominant spin-orbit couplings will +make it possible to tune the effective mass with more varied observables.",1203.2795v1 +2012-11-09,Metal-insulator transition in three-band Hubbard model with strong spin-orbit interaction,"Recent investigations suggest that both spin-orbit coupling and electron +correlation play very crucial roles in the $5d$ transition metal oxides. By +using the generalized Gutzwiller variational method and dynamical mean-field +theory with the hybridization expansion continuous time quantum Monte Carlo as +impurity solver, the three-band Hubbard model with full Hund's rule coupling +and spin-orbit interaction terms, which contains the essential physics of +partially filled $t_{2g}$ sub-shell of $5d$ materials, is studied +systematically. The calculated phase diagram of this model exhibits three +distinct phase regions, including metal, band insulator and Mott insulator +respectively. We find that the spin-orbit coupling term intends to greatly +enhance the tendency of the Mott insulator phase. Furthermore, the influence of +the electron-electron interaction on the effective strength of spin-orbit +coupling in the metallic phase is studied in detail. We conclude that the +electron correlation effect on the effective spin-orbit coupling is far beyond +the mean-field treatment even in the intermediate coupling region.",1211.2055v1 +2013-07-05,Spin-orbit coupled fermions in ladder-like optical lattices at half-filling,"We study the ground-state phase diagram of two-component fermions loaded in a +ladder-like lattice at half filling in the presence of spin-orbit coupling. For +repulsive fermions with unidirectional spin-orbit coupling along the legs we +identify a N\'{e}el state which is separated from rung-singlet and +ferromagnetic states by Ising phase transition lines. These lines cross for +maximal spin-orbit coupling and a direct Gaussian phase transition between +rung-singlet and ferro phases is realized. For the case of Rashba-like +spin-orbit coupling, besides the rung singlet phases two distinct striped +ferromagnetic phases are formed. In case of attractive fermions with spin-orbit +coupling at half-filling for decoupled chains we identify a dimerized state +that separates a singlet superconductor and a ferromagnetic states.",1307.1607v1 +2015-04-19,Hydrodynamics of Normal Atomic Gases with Spin-orbit Coupling,"Successful realization of spin-orbit coupling in atomic gases by the NIST +scheme opens the prospect of studying the effects of spin-orbit coupling on +many-body physics in an unprecedentedly controllable way. Here we derive the +linearized hydrodynamic equations for the normal atomic gases of the spin-orbit +coupling by the NIST scheme with zero detuning. We show that the hydrodynamics +of the system crucially depends on the momentum susceptibilities which can be +modified by the spin-orbit coupling. We reveal the effects of the spin-orbit +coupling on the sound velocities and the dipole mode frequency of the gases by +applying our formalism to the ideal Fermi gas. We also discuss the +generalization of our results to other situations.",1504.04786v2 +2017-10-29,Contact theory for spin-orbit-coupled Fermi gases,"We develop the contact theory for spin-orbit-coupled Fermi gases. By using a +perturbation method, we derive analytically the universal two-body behavior at +short distance, which does not depend on the short-range details of interatomic +potentials. We find that two new scattering parameters need to be introduced +because of spin-orbit coupling, besides the traditional $s$- and $p$-wave +scattering length (volume) and effective ranges. This is a general and unique +feature for spin-orbit-coupled systems. Consequently, two new adiabatic energy +relations with respect to the new scattering parameters are obtained, in which +a new contact is involved because of spin-orbit coupling. In addition, we +derive the asymptotic behavior of the large-momentum distribution, and find +that the subleading tail is corrected by the new contact. This work paves the +way for exploring the profound properties of spin-orbit-coupled many-body +systems, according to two-body solutions.",1710.10579v2 +2018-10-16,Induced spin-orbit coupling in silicon thin films by bismuth doping,"We demonstrate an enhancement of the spin-orbit coupling in silicon (Si) thin +films by doping with bismuth (Bi), a heavy metal, using ion implantation. +Quantum corrections to conductance at low temperature in phosphorous-doped Si +before and after Bi implantation is measured to probe the increase of the +spin-orbit coupling, and a clear modification of magnetoconductance signals is +observed: Bi doping changes magnetoconductance from weak localization to the +crossover between weak localization and weak antilocalization. The elastic +diffusion length, phase coherence length and spin-orbit coupling length in Si +with and without Bi implantation are estimated, and the spin-orbit coupling +length after the Bi doping becomes the same order of magnitude (Lso = 54 nm) +with the phase coherence length (L{\phi} = 35 nm) at 2 K. This is an +experimental proof that the spin-orbit coupling strength in Si thin film is +tunable by doping with heavy metals.",1810.06878v1 +2011-01-06,Quantum phase transitions in a strongly entangled spin-orbital chain: A field-theoretical approach,"Motivated by recent experiments on quasi-1D vanadium oxides, we study quantum +phase transitions in a one-dimensional spin-orbital model describing a Haldane +chain and a classical Ising chain locally coupled by the relativistic +spin-orbit interaction. By employing a field-theoretical approach, we analyze +the topology of the ground-state phase diagram and identify the nature of the +phase transitions. In the strong coupling limit, a long-range N\'eel order of +entangled spin and orbital angular momentum appears in the ground state. We +find that, depending on the relative scales of the spin and orbital gaps, the +linear chain follows two distinct routes to reach the N\'eel state. First, when +the orbital exchange is the dominating energy scale, a two-stage ordering takes +place in which the magnetic transition is followed by melting of the orbital +Ising order; both transitions belong to the two-dimensional Ising universality +class. In the opposite limit, the low-energy orbital modes undergo a continuous +reordering transition which represents a line of Gaussian critical points. On +this line the orbital degrees of freedom form a Tomonaga-Luttinger liquid. We +argue that the emergence of the Gaussian criticality results from merging of +the two Ising transitions in the strong hybridization region where the +characteristic spin and orbital energy scales become comparable. Finally, we +show that, due to the spin-orbit coupling, an external magnetic field acting on +the spins can induce an orbital Ising transition.",1101.1268v3 +2015-03-23,Critical Temperature and Tunneling Spectroscopy of Superconductor-Ferromagnet Hybrids with Intrinsic Rashba-Dresselhaus Spin-Orbit Coupling,"We investigate theoretically how the proximity effect in +superconductor/ferromagnet hybrid structures with intrinsic spin-orbit coupling +manifests in the density of states and critical temperature. To describe a +general scenario, we allow for both Rashba and Dresselhaus type spin-orbit +coupling. Our results are obtained via the quasiclassical theory of +superconductivity, extended to include spin-orbit coupling in the Usadel +equation and Kupriyanov--Lukichev boundary conditions. Unlike previous works, +we have derived a Riccati parametrization of the Usadel equation with +spin-orbit coupling which allows us to address the full proximity regime. +First, we consider the density of states in both SF bilayers and SFS trilayers, +where the spectroscopic features in the latter case are sensitive to the phase +difference between the two superconductors. We find that the presence of +spin-orbit coupling leaves clear spectroscopic fingerprints in the density of +states due to its role in creating spin-triplet Cooper pairs. Unlike SF and SFS +structures without spin-orbit coupling, the density of states in the present +case depends strongly on the direction of magnetization. We show that the +spin-orbit coupling can stabilize singlet superconductivity even in the +presence of a strong exchange field $h \gg \Delta$. This leads to the +possibility of a magnetically tunable minigap: changing the direction of the +exchange field opens and closes the minigap. We also determine how the critical +temperature $T_c$ of an SF bilayer is affected by spin-orbit coupling and +demonstrate that one can achieve a spin-valve effect with a single ferromagnet. +We find that $T_c$ displays highly non-monotonic behavior both as a function of +the magnetization direction and the type and direction of the spin-orbit +coupling, offering a new way to exert control over the superconductivity of +proximity structures.",1503.06835v2 +2019-03-17,Sensing Kondo correlations in a suspended carbon nanotube mechanical resonator with spin-orbit coupling,"We study electron mechanical coupling in a suspended carbon nanotube (CNT) +quantum dot device. Electron spin couples to the flexural vibration mode due to +spin-orbit coupling in the electron tunneling processes. In the weak coupling +limit, i.e. electron-vibration coupling is much smaller than the electron +energy scale, the damping and resonant frequency shift of the CNT resonator can +be obtained by calculating the dynamical spin susceptibility. We find that +strong spin-flip scattering processes in Kondo regime significantly affect the +mechanical motion of the carbon nanotube: Kondo effect induces strong damping +and frequency shift of the CNT resonator.",1903.07049v1 +2017-11-19,SU($N$) spin-wave theory: Application to spin-orbital Mott insulators,"We present the application of the SU($N$) ($N>2$) spin-wave theory to +spin-orbital Mott insulators whose ground states exhibit magnetic orders. When +taking both the spin and orbital degrees of freedom into account rather than +projecting onto the Kramers doublet, the lowest spin-orbital locking energy +levels, due to the inevitable spin-orbital multipole exchange interactions, the +SU($N$) spin-wave theory should take the place of the SU($2$) one. To implement +the application, we introduce an efficient general local mean field approach +which involves all the local fluctuations into the SU($N$) linear spin-wave +theory. Our approach is tested firstly by calculating the multipolar spin-wave +spectra of the SU($4$) antiferromagnetic model. Then we apply it to +spin-orbital Mott insulators. It is revealed that the Hund's coupling would +influence the effectiveness of the isospin-$1/2$ representation when the spin +orbital coupling is not large enough. Besides, we also calculate the spin-wave +spectra based on the first principle calculations for two concrete materials, +$\alpha$-RuCl$_3$ and Sr$_2$IrO$_4$. The SU($N$) spin-wave theory appropriately +depicts the low-energy magnons and the spin-orbital excitations qualitatively.",1711.07041v1 +2020-06-24,Landau levels in spin-orbit coupling proximitized graphene: bulk states,"We study the magnetic-field dependence of Landau levels in graphene +proximitized by large spin-orbit coupling materials, such as transition-metal +dichalcogenides or topological insulators. In addition to the Rashba coupling, +two types of intrinsic spin-orbit interactions, uniform (Kane-Mele type) and +staggered (valley Zeeman type), are included, to resolve their interplay with +magnetic orbital effects. Employing a continuum model approach, we derive +analytic expressions for low-energy Landau levels, which can be used to extract +local orbital and spin-orbit coupling parameters from scanning probe +spectroscopy experiments. We compare different parameter regimes to identify +fingerprints of relative and absolute magnitudes of intrinsic spin-orbit +coupling in the spectra. The inverted band structure of graphene proximitized +by WSe$_2$ leads to an interesting crossing of Landau states across the bulk +gap at a crossover field, providing insights into the size of Rashba spin-orbit +coupling. Landau level spectroscopy can help to resolve the type and signs of +the intrinsic spin-orbit coupling by analyzing the symmetry in energy and +number of crossings in the Landau fan chart. Finally, our results suggest that +the strong response to the magnetic field of Dirac electrons in proximitized +graphene can be associated with extremely large self-rotating magnetic moments.",2006.13651v1 +2023-03-21,Intrinsic Magnon Orbital Hall Effect in Honeycomb Antiferromagnets,"We theoretically investigate the transport of magnon orbitals in a honeycomb +antiferromagnet. We find that the magnon orbital Berry curvature is finite even +without spin-orbit coupling and thus the resultant magnon orbital Hall effect +is an intrinsic property of the honeycomb antiferromagnet rooted only in the +exchange interaction and the lattice structure. Due to the intrinsic nature of +the magnon orbital Hall effect, the magnon orbital Nernst conductivity is +estimated to be orders of magnitude larger than the predicted values of the +magnon spin Nernst conductivity that requires finite spin-orbit coupling. For +the experimental detection of the predicted magnon orbital Hall effect, we +invoke the magnetoelectric effect that couples the magnon orbital and the +electric polarization, which allows us to detect the magnon orbital +accumulation through the local voltage measurement. Our results pave a way for +a deeper understanding of the topological transport of the magnon orbitals and +also its utilization for low-power magnon-based orbitronics, namely magnon +orbitronics.",2303.11687v1 +2010-03-13,Motion and gravitational wave forms of eccentric compact binaries with orbital-angular-momentum-aligned spins under next-to-leading order in spin-orbit and leading order in spin(1)-spin(2) and spin-squared couplings,"A quasi-Keplerian parameterisation for the solutions of second post-Newtonian +(PN) accurate equations of motion for spinning compact binaries is obtained +including leading order spin-spin and next-to-leading order spin-orbit +interactions. Rotational deformation of the compact objects is incorporated. +For arbitrary mass ratios the spin orientations are taken to be parallel or +anti-parallel to the orbital angular momentum vector. The emitted gravitational +wave forms are given in analytic form up to 2PN point particle, 1.5PN spin +orbit and 1PN spin-spin contributions, where the spins are counted of 0PN +order.",1003.2735v4 +2010-04-18,Spin Orbit Coupling and Spin Waves in Ultrathin Ferromagnets: The Spin Wave Rashba Effect,"We present theoretical studies of the influence of spin orbit coupling on the +spin wave excitations of the Fe monolayer and bilayer on the W(110) surface. +The Dzyaloshinskii-Moriya interaction is active in such films, by virtue of the +absence of reflection symmetry in the plane of the film. When the magnetization +is in plane, this leads to a linear term in the spin wave dispersion relation +for propagation across the magnetization. The dispersion relation thus assumes +a form similar to that of an energy band of an electron trapped on a +semiconductor surfaces with Rashba coupling active. We also show SPEELS +response functions that illustrate the role of spin orbit coupling in such +measurements. In addition to the modifications of the dispersion relations for +spin waves, the presence of spin orbit coupling in the W substrate leads to a +substantial increase in the linewidth of the spin wave modes. The formalism we +have developed applies to a wide range of systems, and the particular system +explored in the numerical calculations provides us with an illustration of +phenomena which will be present in other ultrathin ferromagnet/substrate +combinations.",1004.3066v1 +2019-06-27,Extrinsic Spin-Orbit Coupling and Spin Relaxation in Phosphorene,"An effective Hamiltonian is derived to describe the conduction band of +monolayer black phosphorus (phosphorene) in the presence of spin-orbit coupling +and external electric field. Envelope function approximation along with +symmetry arguments and Lowdin partitioning are utilized to derive extrinsic +spin-orbit coupling. The resulting spin splitting appears in fourth order +perturbation terms and is shown to be linear in both the magnitude of the +external electric field and the strength of the atomic spin-orbit coupling, +similar to the Bychkov-Rashba expression but with an in-plane anisotropy. The +anisotropy depends on the coupling between conduction band and other bands both +close and distant in energy. The spin relaxation of conduction electrons is +then calculated within the Dyakonov-Perel mechanism where momentum scattering +randomizes the polarization of a spin ensemble. We show how the anisotropic +Fermi contour and the anisotropic extrinsic spin splitting contribute to the +anisotropy of spin-relaxation time. Scattering centers in the substrate are +considered to be charged impurities with screened Coulomb potential.",1906.11939v2 +2017-07-31,Spin-orbit torques from interfacial spin-orbit coupling for various interfaces,"We use a perturbative approach to study the effects of interfacial spin-orbit +coupling in magnetic multilayers by treating the two-dimensional Rashba model +in a fully three-dimensional description of electron transport near an +interface. This formalism provides a compact analytic expression for +current-induced spin-orbit torques in terms of unperturbed scattering +coefficients, allowing computation of spin-orbit torques for various contexts, +by simply substituting scattering coefficients into the formulas. It applies to +calculations of spin-orbit torques for magnetic bilayers with bulk magnetism, +those with interface magnetism, a normal metal/ferromagnetic insulator +junction, and a topological insulator/ferromagnet junction. It predicts a +dampinglike component of spin-orbit torque that is distinct from any intrinsic +contribution or those that arise from particular spin relaxation mechanisms. We +discuss the effects of proximity-induced magnetism and insertion of an +additional layer and provide formulas for in-plane current, which is induced by +a perpendicular bias, anisotropic magnetoresistance, and spin memory loss in +the same formalism.",1707.09847v1 +2015-12-20,Magnetic and nematic phases in a Weyl type spin-orbit-coupled spin-1 Bose gas,"We present a variational study of the spin-1 Bose gases in a harmonic trap +with three-dimensional spin-orbit coupling of Weyl type. For weak spin-orbit +coupling, we treat the single-particle ground states as the form of +perturbational harmonic oscillator states in the lowest total angular momentum +manifold with $j=1, m_j=1,0,-1$. When the two-body interaction is considered, +we set the trail order parameter as the superposition of three degenerate +single-particle ground-states and the weight coefficients are determined by +minimizing the energy functional. Two ground state phases, namely the magnetic +and the nematic phases, are identified depending on the spin-independent and +the spin-dependent interactions. Unlike the non-spin-orbit-coupled spin-1 +Bose-Einstein condensate for which the phase boundary between the magnetic and +the nematic phase lies exactly at zero spin-dependent interaction, the boundary +is modified by the spin-orbit-coupling. We find the magnetic phase is featured +with phase-separated density distributions, 3D skyrmion-like spin textures and +competing magnetic and biaxial nematic orders, while the nematic phase is +featured with miscible density distributions, zero magnetization and spatially +modulated uniaxial nematic order. The emergence of higher spin order creates +new opportunities for exploring spin-tensor-related physics in spin-orbit +coupled superfluid.",1512.06394v1 +2002-11-29,Spin-Orbit induced semiconductor spin guides,"The tunability of the Rashba spin-orbit coupling allows to build +semiconductor heterostructures with space modulated coupling intensities. We +show that a wire-shaped spin-orbit modulation in a quantum well can support +propagating electronic states inside the wire only for a certain spin +orientation and, therefore, it acts as an effective spin transmission guide for +this particular spin orientation.",0211694v1 +2003-07-27,Universal Intrinsic Spin-Hall Effect,"We describe a new effect in semiconductor spintronics that leads to +dissipationless spin-currents in paramagnetic spin-orbit coupled systems. We +argue that in a high mobility two-dimensional electron system with substantial +Rashba spin-orbit coupling, a spin-current that flows perpendicular to the +charge current is intrinsic. In the usual case where both spin-orbit split +bands are occupied, the spin-Hall conductivity has a universal value.",0307663v2 +2004-12-22,Spin-orbit induced interference in polygon-structures,"We investigate the spin-orbit induced spin-interference pattern of ballistic +electrons travelling along any regular polygon. It is found that the +spin-interference depends strongly on the Rashba and Dresselhaus spin-orbit +constants as well as on the sidelength and alignment of the polygon. We derive +the analytical formulae for the limiting cases of either zero Dresselhaus or +zero Rashba spin-orbit coupling, including the result obtained for a circle. We +calculate the nonzero Dresselhaus and Rashba case numerically for the square, +triangle, hexagon, and circle and discuss the observability of the +spin-interference which can potentially be used to measure the Rashba and +Dresselhaus coefficients.",0412609v1 +2018-08-24,"Residual spin susceptibility in the spin-triplet, orbital-singlet model","Nuclear magnetic resonance (NMR) and Knight shift measurements are critical +tools in the identification of spin-triplet superconductors. We discuss the +effects of spin orbit coupling on the Knight shift and susceptibilities for a +variety of spin triplet multi-orbital gap functions with orbital-singlet +character and compare their responses to ""traditional"" single band spin-triplet +($p_x+ip_y$) superconductors. We observe a non-negligible residual +spin-susceptibility at low temperature.",1808.08029v1 +2006-03-14,Spin entanglement induced by spin-orbit interactions in coupled quantum dots,"We theoretically explore the possibility of creating spin quantum +entanglement in a system of two electrons confined respectively in two +vertically coupled quantum dots in the presence of Rashba type spin-orbit +coupling. We find that the system can be described by a generalized Jaynes - +Cummings model of two modes bosons interacting with two spins. The lower +excitation states of this model are calculated to reveal the underlying physics +of the far infrared absorption spectra. The analytic perturbation approach +shows that an effective transverse coupling of spins can be obtained by +eliminating the orbital degrees of freedom in the large detuning limit. Here, +the orbital degrees of freedom of the two electrons, which are described by two +modes of bosons, serve as a quantized data bus to exchange the quantum +information between two electrons. Then a nontrivial two-qubit logic gate is +realized and spin entanglement between the two electrons is created by virtue +of spin-orbit coupling.",0603363v2 +2006-04-27,Orbital and spin relaxation in single and coupled quantum dots,"Phonon-induced orbital and spin relaxation rates of single electron states in +lateral single and double quantum dots are obtained numerically for realistic +materials parameters. The rates are calculated as a function of magnetic field +and interdot coupling, at various field and quantum dot orientations. It is +found that orbital relaxation is due to deformation potential phonons at low +magnetic fields, while piezoelectric phonons dominate the relaxation at high +fields. Spin relaxation, which is dominated by piezoelectric phonons, in single +quantum dots is highly anisotropic due to the interplay of the Bychkov-Rashba +and Dresselhaus spin-orbit couplings. Orbital relaxation in double dots varies +strongly with the interdot coupling due to the cyclotron effects on the +tunneling energy. Spin relaxation in double dots has an additional anisotropy +due to anisotropic spin hot spots which otherwise cause giant enhancement of +the rate at useful magnetic fields and interdot couplings. Conditions for the +absence of the spin hot spots in in-plane magnetic fields (easy passages) and +perpendicular magnetic fields (weak passages) are formulated analytically for +different growth directions of the underlying heterostructure. It is shown that +easy passages disappear (spin hot spots reappear) if the double dot system +loses symmetry by an xy-like perturbation.",0604633v1 +2017-12-21,Cooper Pairing in A Doped 2D Antiferromagnet with Spin-Orbit Coupling,"We study the two-dimensional Hubbard model with the Rashba type spin-orbit +coupling within and beyond the mean-field theory. The antiferromagnetic ground +state for the model at half-filling and the Cooper pairing induced by +antiferromagnetic spin fluctuations near half-filling are examined based on the +random-phase approximation. We show that the antiferromagnetic order is +suppressed and the magnetic susceptibility turns out to be anisotropic in the +presence of the spin-orbit coupling. Energy spectrums of transverse spin +fluctuations are obtained and the effective interactions between holes mediated +by antiferromagnetic spin fluctuations are deduced in the case of low hole +doping. It seems that the spin-orbit coupling tends to form s+p-wave Cooper +pairs, while the s+d-wave pairing is dominant when the spin-orbit coupling is +absent.",1712.07908v1 +2011-05-21,Quantum states and linear response in dc and electromagnetic fields for charge current and spin polarization of electrons at Bi/Si interface with giant spin-orbit coupling,"An expansion of the nearly free-electron model constructed by Frantzeskakis, +Pons and Grioni [Phys. Rev. B {\bf 82}, 085440 (2010)] describing quantum +states at Bi/Si(111) interface with giant spin-orbit coupling is developed and +applied for the band structure and spin polarization calculation, as well as +for the linear response analysis for charge current and induced spin caused by +dc field and by electromagnetic radiation. It is found that the large +spin-orbit coupling in this system may allow resolving the spin-dependent +properties even at room temperature and at realistic collision rate. The +geometry of the atomic lattice combined with spin-orbit coupling leads to an +anisotropic response both for current and spin components related to the +orientation of the external field. The in-plane dc electric field produces only +the in-plane components of spin in the sample while both the in-plane and +out-of-plane spin components can be excited by normally propagating +electromagnetic wave with different polarizations.",1105.4215v1 +2021-06-21,Spin structure factors of doped monolayer Germanene in the presence of spin-orbit coupling,"In this paper, we present a Kane-Mele model in the presence of magnetic field +and next nearest neighbors hopping amplitudes for investigations of the spin +susceptibilities of Germanene layer. Green's function approach has been +implemented to find the behavior of dynamical spin susceptibilities of +Germanene layer within linear response theoryand in the presence of magnetic +field and spin-orbit coupling at finite temperature. Our results show the +magnetic excitation mode for both longitudinal and transverse components of +spin tends to higher frequencies with spin-orbit coupling strength. Moreover +the frequency positions of sharp peaks in longitudinal dynamical spin +susceptibility are not affected by variation of magnetic field while the peaks +in transverse dynamical susceptibility moves to lower frequencies with magnetic +field. The effects of electron doping on frequency behaviors of spin +susceptibilities have been addressed in details. Finally the temperature +dependence of static spin structure factors due to the effects of spin-orbit +coupling, magnetic field and chemical potential has been studied.",2106.11377v1 +2015-11-28,Spin-orbit torque engineering via oxygen manipulation,"Spin transfer torques allow the electrical manipulation of the magnetization +at room temperature, which is desirable in spintronic devices such as spin +transfer torque memories. When combined with spin-orbit coupling, they give +rise to spin-orbit torques which are a more powerful tool for magnetization +control and can enrich device functionalities. The engineering of spin-orbit +torques, based mostly on the spin Hall effect, is being intensely pursued. Here +we report that the oxidation of spin-orbit torque devices triggers a new +mechanism of spin-orbit torque, which is about two times stronger than that +based on the spin Hall effect. We thus introduce a way to engineer spin-orbit +torques via oxygen manipulation. Combined with electrical gating of the oxygen +level, our findings may also pave the way towards reconfigurable logic devices.",1511.08868v1 +2002-11-29,The orbital moment in CoO,"The orbital and spin moment of the Co2+ ion in CoO has been calculated within +the quasi-atomic approach with taking into account the intra-atomic spin-orbit +coupling. The orbital moment of 1.38 \mu_{B} amounts at 0 K, in the +magnetically-ordered state, to more than 34% of the total moment (4.02 \mu_{B}) +and yields the L/S ratio of 1.04, close to the experimental value. + PACS No: 71.70.E; 75.10.D Keywords: 3d magnetism, crystal field, spin-orbit +coupling, orbital moment, CoO",0211705v1 +2011-06-24,Spin-orbit coupling induced Mott transition in Ca$_{2-x}$Sr$_{x}$RuO$_{4}$ (0