Theory of Spin-Charge Coupled Transport in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interactions

Abstract

We use microscopic linear response theory to derive a set of equations that provide a complete description of coupled spin and charge diffusive transport in a two-dimensional electron gas (2DEG) with the Rashba spin-orbit (SO) interaction. These equations capture a number of interrelated effects including spin accumulation and diffusion, Dyakonov-Perel spin relaxation, magnetoelectric, and spin-galvanic effects. They can be used under very general circumstances to model transport experiments in 2DEG systems that involve either electrical or optical spin injection. We comment on the relationship between these equations and the exact spin and charge density operator equations of motion. As an example of the application of our equations, we consider a simple electrical spin injection experiment and show that a voltage will develop between two ferromagnetic contacts if a spin-polarized current is injected into a 2DEG, that depends on the relative magnetization orientation of the contacts. This voltage is present even when the separation between the contacts is larger than the spin diffusion length.

8 pages, 1 eps figure. Corrected an error in the calculation of the spin-charge coupling coefficient, pointed out in cond-mat/0406730, added several references

References in corpus (11)

• Spin Hall effect
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Non-ballistic spin field-effect transistor
• Diffuse transport and spin accumulation in a Rashba two-dimensional electron gas
• The Rashba Hamiltonian and electron transport
• Waveguide diffusion modes and slowdown of D'yakonov-Perel' spin relaxation in narrow 2-D semiconductor channels
• Transport equations for a two-dimensional electron gas with spin-orbit interaction
• Filtering spin with tunnel-coupled electron wave guides
• Two-dimensional hole precession in an all-semiconductor spin field effect transistor
• Spin-orbit induced anisotropy in the magnetoconductance of two-dimensional metals

Cited by in corpus (172)

• An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
• Emergence of the persistent spin helix in semiconductor quantum wells
• Spin dynamics in semiconductors
• Colloquium: Spintronics in graphene and other two-dimensional materials
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Theory of Spin Hall conductivity in n-doped GaAs
• Diffusive spin dynamics in ferromagnetic thin films with a Rashba interaction
• Spin and Charge Transport on the Surface of a Topological Insulator
• Spin-Hall effect in a disordered 2D electron-system
• Persistent Spin Textures in Semiconductor Nanostructures
• The definition of the spin current: The angular spin current and its physical consequences
• The angular spin current and its physical consequences
• Nonlocal Charge Transport Mediated by Spin Diffusion in the Spin-Hall Effect Regime
• Manifestation of the spin-Hall effect through transport measurements in the mesoscopic regime
• Influence of a Transport Current on Magnetic Anisotropy in Gyrotropic Ferromagnets
• Spin-Hall transport of heavy holes in III-V semiconductor quantum wells
• Decoherence of transported spin in multichannel spin-orbit coupled spintronic devices: Scattering approach to spin density matrix from the ballistic to the localized regime
• Nonexistence of intrinsic spin currents
• Sum rules for spin-Hall conductivity cancelation
• Rashba spin-orbit coupling and spin relaxation in silicon quantum wells
• Intrinsic Spin Hall Edges
• Quasiclassical approach to the spin-Hall effect in the two-dimensional electron gas
• Non-diffusive spin dynamics in a two-dimensional electron gas
• Spin Hall Effect
• Spin-orbit coupling and spin transport
• Charge Hall effect driven by spin-dependent chemical potential gradients and Onsager relations in mesoscopic systems
• Out-of-plane spin polarization from in-plane electric and magnetic fields
• Spin relaxation in a generic two-dimensional spin-orbit coupled system
• Angular dependence of spin-orbit spin transfer torques
• Spin Accumulation in the Extrinsic Spin Hall Effect
• Electron-phonon mediated heat flow in disordered graphene
• Spin-Hall effect on edge magnetization and electric conductance of a 2D semiconductor strip
• Magnetic-proximity-induced magnetoresistance on topological insulators
• Magnetoelectric Response of the Time-Reversal Invariant Helical Metal
• Spin Dynamics and Spin Transport
• Spin-Hall conductivity of a disordered 2D electron gas with Dresselhaus spin-orbit interaction
• Three-Dimensional Spin Rotations at the Fermi Surface of a Strongly Spin-Orbit Coupled Surface System
• Mesoscopic Spin Hall Effect
• Boundary conditions for spin diffusion
• Spin Hall effects in diffusive normal metals
• A quantum hydrodynamics approach to the formation of new types of waves in polarized two-dimension systems of charged and neutral particles
• Non-vanishing spin Hall currents in disordered spin-orbit coupling systems
• Theory of coupled spin-charge transport due to spin-orbit interaction in inhomogeneous two-dimensional electron liquids
• The effect of in-plane magnetic field on the spin Hall effect in Rashba-Dresselhaus system
• Magnetic properties of a two-dimensional electron gas strongly coupled to light
• Doppler velocimetry of spin propagation in a two-dimensional electron gas
• Absence of spontaneous magnetic order of lattice spins coupled to itinerant interacting electrons in one and two dimensions
• Dynamics of a localized spin excitation close to the spin-helix regime
• Semiclassical equations of motion for disordered conductors: extrinsic interband velocity, corrected collision integral and spin-orbit torques
• Generation of spin current and polarization under dynamic gate control of spin-orbit interaction in low-dimensional semiconductor systems
• Spin-orbit coupled transport and spin torque in a ferromagnetic heterostructure
• Control of spin dynamics in a two-dimensional electron gas by electromagnetic dressing
• Absence of skew scattering in two-dimensional systems: Testing the origins of the anomalous Hall effect
• Detection of current-induced spins by ferromagnetic contacts
• Spin relaxation in narrow wires of a two-dimensional electron gas
• Theory of electric-field-induced spin accumulation and spin current in the two-dimensional Rashba model
• Optical Spintronics in Organic-Inorganic Perovskite Photovoltaics
• Spin-Hall effect and spin-Coulomb drag in doped semiconductors
• Boundary spin Hall effect in a two-dimensional semiconductor system with Rashba spin-orbit coupling
• On boundary conditions for spin diffusion equations with Rashba spin-orbit interaction
• Spin-Hall effects in a Josephson contact
• Spin-Hall edge spin polarization in a ballistic 2D electron system
• Usadel equation in the presence of intrinsic spin-orbit coupling: A unified theory of magneto-electric effects in normal and superconducting systems
• Unified theory of spin-dynamics in a two dimensional electron gases with arbitrary spin-orbit coping strength at finite temperature
• Probing non-Abelian statistics with Majorana fermion interferometry in spin-orbit-coupled semiconductors
• Relaxation mechanisms of the persistent spin helix
• Dynamic spin-Hall effect and driven spin helix for linear spin-orbit interactions
• Coherent Propagation of Spin Helices in a Quantum-Well Confined Electron Gas
• Reading charge transport from spin dynamics on the surface of topological insulator
• Skew-scattering-induced giant antidamping spin-orbit torques: Collinear and out-of-plane Edelstein effects at two-dimensional material/ferromagnet interfaces
• Frequency dependence of induced spin polarization and spin current in quantum wells
• Multiple Scattering Theory for Two-dimensional Electron Gases in the Presence of Spin-Orbit Coupling
• Modeling for Semiconductor Spintronics
• Maxwell Equation for the Coupled Spin-Charge Wave Propagation
• Spin Accumulation in Diffusive Conductors with Rashba and Dresselhaus Spin-Orbit Interaction
• Ballistic spin currents in mesoscopic metal/In(Ga)As/metal junctions
• Spin dynamics in the strong spin-orbit coupling regime
• Inverse Spin Hall Effect and Anomalous Hall Effect in a Two-Dimensional Electron Gas
• Nonvanishing spin Hall currents in the presence of magnetic impurities
• Van der Waals heterostructures with spin-orbit coupling
• Spin correlation function theory of spin-charge conversion effects
• Electron Spin Dynamics in Impure Quantum Wells for Arbitrary Spin-Orbit Coupling
• Spin relaxation in $n$-type GaAs quantum wells with transient spin grating
• Spin relaxation in corrugated graphene
• Weak Localization, Spin Relaxation, and Spin-Diffusion: The Crossover Between Weak and Strong Rashba Coupling Limits
• Resonant intrinsic spin Hall effect in p-type GaAs quantum well structure
• Extracting current-induced spins: spin boundary conditions at narrow Hall contacts
• Determining the spin Hall conductance via charge transport
• Equilibrium edge spin currents in two-dimensional electron systems with spin-orbit interaction
• Electric-field induced spin excitations in two-dimensional spin-orbit coupled systems
• Spin-Hall effect in two-dimensional mesoscopic hole systems
• Nonlinear $\sigma$-model for disordered systems with intrinsic spin-orbit coupling
• Macroscopic transverse drift of long current-induced spin coherence in two-dimensional electron gases
• Optically tunable spin transport on the surface of a topological insulator
• Unambiguous Electrical Detection of Spin-Charge Conversion in Lateral Spin-Valves
• Supercurrent generation by spin injection in an s-wave superconductor-Rashba metal bilayer
• Spin Hall effect, Hall effect and spin precession in diffusive normal metals
• Bulk electron spin polarization generated by the spin Hall current
• Spin accumulation with spin-orbit interaction
• Spin-Hall current and spin polarization in an electrically biased SNS Josephson junction
• Transmission Line Model for Materials with Spin-Momentum Locking
• Spontaneous Emergence of Persistent Spin Helix from Homogeneous Spin Polarization
• Theory of the inverse spin galvanic effect in quantum wells
• Hole Spin Helix: Anomalous Spin Diffusion in Anisotropic Strained Hole Quantum Wells
• Enhanced longevity of the spin helix in low-symmetry quantum wells
• Finite-size Effects in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interaction
• Microscopic linear response theory of spin relaxation and relativistic transport phenomena in graphene
• A generalized Stoner criterion and versatile spin ordering in two-dimensional spin-orbit coupled electron systems
• Spin-Hall conductivity of a spin-polarized two-dimensional electron gas with Rashba spin-orbit interaction and magnetic impurities
• Spin-Hall interface resistance in terms of Landauer type spin dipoles
• Spin Conduction in Anisotropic 3-D Topological Insulators
• Charge and spin density response functions of the clean two-dimensional electron gas with Rashba spin-orbit coupling at finite momenta and frequencies
• Spin Injection in Quantum Wells with Spatially Dependent Rashba Interaction
• Diffusive-Ballistic Crossover and the Persistent Spin Helix
• Spin-density induced by electromagnetic wave in two-dimensional electron gas
• Surface states, Friedel oscillations, and spin accumulation in p-doped semiconductors
• Spin dynamics in a spin-orbit coupled Fermi gas
• Rashba torque beyond the Boltzmann regime
• Theory of inverse Rashba-Edelstein effect induced by spin pumping into a two-dimensional electron gas
• Nonperturbative approach to interfacial spin-orbit torques induced by Rashba effect
• Efficient spin accumulation carried by slow relaxons in chiral tellurium
• Understanding spin transport from the motion in SU(2)$\times$U(1) fields
• Transport Equations and Spin-Charge Propagating Mode in the Two Dimensional Hole Gas
• Understanding spin Hall effects from the motion in SU(2)XU(1) fields
• A Unified Description of Spin Transport, Weak Antilocalization and Triplet Superconductivity in Systems with Spin-Orbit Coupling
• Anisotropic Magnetoresistance in Multiband Systems: 2DEGs and Polar Metals at Oxide Interfaces
• Theory of spin-charge-coupled transport in proximitized graphene: An SO(5) algebraic approach
• The inequality of charge and spin diffusion coefficients
• Coupled spin-charge drift-diffusion approach for a two-dimensional electron gas with Rashba spin-orbit coupling
• Spin polarization of electron current through a potential barrier in two-dimensional structures with spin-orbit interaction
• Control of Spin Diffusion and Suppression of the Hanle Effect by the Coexistence of Spin and Valley Hall Effects
• Kinetics of Spin Relaxation in Wires and Channels: Boundary Spin Echo and Tachyons
• Out-of-plane equilibrium spin current in a quasi-two-dimensional electron gas under in-plane magnetic field
• Theory of the inverse Rashba-Edelstein effect induced by thermal spin injection
• Theory of Spin Injection in Two-dimensional Metals with Proximity-Induced Spin-Orbit Coupling
• Current-Induced Spin Accumulation and Magnetoresistance in Chiral Semimetals
• Spin-density induced by electromagnetic wave in two-dimensional electron gas with both Rashba and Dresselhaus spin-orbit couplings
• `Spin-Spin' Hall Effect in Two-Dimensional Electron Systems with Spin-Orbit Interaction
• Crossover from diffusive to non-diffusive dynamics in the two-dimensional electron gas with Rashba spin-orbit coupling
• Theory of Spin Hall Effects in Semiconductors
• Evolution of the persistent spin helix in the presence of Hartree-Fock fields
• Detection of current induced spin polarization in epitaxial Bi${}_2$Te${}_3$ thin film
• Current-induced magnetization dynamics at the edge of a two-dimensional electron system with strong spin-orbit coupling
• Collective Spin-Hall Effect for Electron-Hole Gratings
• Nonuniversality of the intrinsic inverse spin-Hall effect in diffusive systems
• Scattering Theory of Current-Induced Spin Polarization
• Bulk Spin-Hall Effect
• Semiconductor Spintronics: Progress and Challenges
• Microscopic theory for the Doppler velocimetry of spin propagation in semiconductor quantum wells
• Hanle Effect near Boundaries
• Local spin density in two-dimensional electron gas with hexagonal boundary
• Unconventional Spin Hall Effect and Axial Current Generation in a Dirac Semimetal
• Spin Polarization and Dichroism Effects by Electric Field
• Spin Transport in Disordered Two-Dimensional Hopping Systems with Rashba Spin-Orbit Interaction
• Maximum intrinsic spin-Hall conductivity in two-dimensional systems with k-linear spin-orbit interaction
• Spin-charge coupled transport in van der Waals systems with random tunneling
• Large Spin-to-Charge Conversion in Ultrathin Gold-Silicon Multilayers
• Decay of Persistent Spin Helix due to the Spin Relaxation at Boundaries
• Spin relaxation in Rashba rings
• Gilbert damping in two-dimensional metallic anti-ferromagnets
• Spin Hall conductivity of interacting two-dimensional electron systems
• Spin-Hall effect in semiconductor heterostructures with cubic Rashba spin-orbit interaction
• Silicon in the Quantum Limit: Quantum Computing and Decoherence in Silicon Architectures
• Spin-orbit-induced correlations of the local density of states in two-dimensional electron gas
• The spin Hall effect
• Dynamics of Spin Relaxation in Finite-Size 2D Systems: an Exact Solution
• Spin Response to Localized Pumps: Exciton Polaritons Versus Electrons and Holes
• Stability of highly-twisted Skyrmions from contact topology
• Impact of spin-orbit coupling on electron correlation corrections to the density of states in anisotropic conductors
• Random walk approach to spin dynamics in a two-dimensional electron gas with spin-orbit coupling
• Delocalization of charge and current in a chiral quasiparticle wave-packet
• Interplay of Rashba spin orbit coupling and disorder in the conductance properties of a four terminal junction device