Spin-orbit interaction in a two-dimensional electron gas: a SU(2) formulation

Abstract

Spin-orbit interaction is usefully classified as extrinsic or intrinsic depending on its origin: the potential due to random impurities (extrinsic), or the crystalline potential associated with the band or device structure (intrinsic). In this paper we will show how by using a SU(2) formulation the two sources of spin-orbit interaction may be described in an elegant and unified way. As a result we obtain a simple description of the interplay of the two types of spin-orbit interaction, and a physically transparent explanation of the vanishing of the d.c. spin Hall conductivity in a Rashba two-dimensional electron gas when spin relaxation is neglected, and its reinstatement when spin relaxation is allowed. Furthermore, we obtain an explicit formula for the transverse spin polarization created by an electric current, which generalizes the standard formula obtained by Edelstein and Aronov and Lyanda-Geller by including extrinsic spin-orbit interaction and spin relaxation.

9 pages

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Cited by in corpus (62)

• Inverse Edelstein Effect
• Spin Transport at Interfaces with Spin-Orbit Coupling: Formalism
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• Theory of the spin-galvanic effect and the anomalous phase-shift ${\phi }_0$ in superconductors and Josephson junctions with intrinsic spin-orbit coupling
• Effective gauge field theory of spintronics
• Inter-band Coherence Response to Electric Fields in Crystals
• Quasiclassical theory of magnetoelectric effects in superconducting heterostructures in the presence of the spin-orbit coupling
• Theory of coupled spin-charge transport due to spin-orbit interaction in inhomogeneous two-dimensional electron liquids
• Theory of current-induced spin polarizations in an electron gas
• Magnetoelectric effects in Josephson junctions
• Unconventional dc transport in Rashba electron gases
• Direct coupling between charge current and spin polarization by extrinsic mechanisms in graphene
• Usadel equation in the presence of intrinsic spin-orbit coupling: A unified theory of magneto-electric effects in normal and superconducting systems
• Spin Hall effects due to phonon skew scattering
• Anomalous spin precession and spin Hall effect in semiconductor quantum wells
• Electrical spin orientation, spin-galvanic and spin-Hall effects in disordered two-dimensional systems
• Spin-Orbit-Induced Spin, Charge, and Energy Transport in Diffusive Superconductors
• Orbitronics in Two-dimensional Materials
• Polarization-dependent photocurrents in polar stacks of van der Waals solids
• Nonlinear $\sigma$-model for disordered systems with intrinsic spin-orbit coupling
• Extrinsic Spin-Charge Coupling in Diffusive Superconducting Systems
• Intrinsic spin Hall effect in systems with striped spin-orbit coupling
• Spin thermoelectrics in a disordered Fermi gas
• Anomalous Nonlocal Resistance and Spin-charge Conversion Mechanisms in Two-Dimensional Metals
• Theory of the inverse spin galvanic effect in quantum wells
• Spin-orbit induced equilibrium spin currents in materials
• Microscopic linear response theory of spin relaxation and relativistic transport phenomena in graphene
• Room temperature spin thermoelectrics in metallic films
• Spin-charge coupled dynamics driven by a time-dependent magnetization
• Effect of vertex corrections on the enhancement of Gilbert damping in spin pumping into a two-dimensional electron gas
• Spin Hall and inverse spin galvanic effects in graphene with strong interfacial spin-orbit coupling: a quasi-classical Green's function approach
• Bulk photospin effect: Calculation of electric spin susceptibility to second order in an electric field
• Spin current swapping and Hanle spin Hall effect in the two dimensional electron gas
• Theory of inverse Rashba-Edelstein effect induced by spin pumping into a two-dimensional electron gas
• Extrinsic Mechanisms of Phonon Magnetic Moment
• Rashba torque beyond the Boltzmann regime
• Nonlocal magnetolectric effects in diffusive conductors with spatially inhomogeneous spin-orbit coupling
• Spin-charge conversion in disordered two-dimensional electron gases lacking inversion symmetry
• A Unified Description of Spin Transport, Weak Antilocalization and Triplet Superconductivity in Systems with Spin-Orbit Coupling
• Charge and spin conductivity of a two-dimensional electron gas with random Rashba interaction
• Boltzmann approach to spin-orbit-induced transport in effective quantum theories
• Control of Spin Diffusion and Suppression of the Hanle Effect by the Coexistence of Spin and Valley Hall Effects
• Signatures of Rashba Spin-Orbit Interaction in Charge and Spin Properties of Quantum Hall Systems
• Quasiclassical theory of the spin-orbit magnetoresistance of three-dimensional Rashba metals
• Theory of Spin Injection in Two-dimensional Metals with Proximity-Induced Spin-Orbit Coupling
• Theory of the inverse Rashba-Edelstein effect induced by thermal spin injection
• Spin Hall angle in single-layer graphene
• Collective Spin-Hall Effect for Electron-Hole Gratings
• Probing the Spin-Momentum Locking in Rashba Surfaces via Spin Current
• Spin Hall and Edelstein effects in metallic films: from 2D to 3D
• Driving spin and charge in quantum wells by surface acoustic waves
• Maximum intrinsic spin-Hall conductivity in two-dimensional systems with k-linear spin-orbit interaction
• Boltzmann electronic dc transport in multiorbital weakly-disordered crystals
• Spin Hall magnetoresistance and spin Nernst magnetothermopower: role of the inverse spin galvanic effect
• Fluctuation contribution to Spin Hall Effect in Superconductors
• Spin Hall Conductivity in the impure two-dimensional Rashba s-wave superconductor
• The spin Hall effect
• Spin-charge coupling effects in a two-dimensional electron gas
• Spin polarization induced by an electric field in the presence of weak localization effects
• Inverse spin galvanic effect in the presence of impurity spin-orbit scattering: a diagrammatic approach
• Many-body correction to the intrinsic anomalous and spin Hall conductivities
• Berry Phase origin of the planar spin Hall effect