Semiclassical theory of spin transport in spin-orbit coupled systems

Abstract

Motivated by recent interest in novel spintronics effects, we develop a semiclassical theory of spin transport that is valid for spin-orbit coupled bands. Aside from the obvious convective term in which the average spin is transported at the wavepacket group velocity, the spin current has additional contributions from the wavepacket's spin and torque dipole moments. Electric field corrections to the group velocity and carrier spin contribute to the convective term. Summing all terms we obtain an expression for the intrinsic spin-Hall conductivity of a hole-doped semiconductor, which agrees with the Kubo formula prediction for the same quantity. We discuss the calculation of spin accumulation, which illustrates the importance of the torque dipole near the boundary of the system.

arXiv comment4 pages

References in corpus (15)

• Spin Hall effect
• Universal Intrinsic Spin-Hall Effect
• Basic obstacle for electrical spin-injection from a ferromagnetic metal into a diffusive semiconductor
• Dissipationless Quantum Spin Current at Room Temperature
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Anomalous Hall effect in ferromagnetic semiconductors
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Voltage-Controlled Spin Selection in a Magnetic Resonant Tunnelling Diode
• Transport equations for a two-dimensional electron gas with spin-orbit interaction
• DC-transport properties of ferromagnetic (Ga,Mn)As semiconductors
• Spin diffusion at finite electric and magnetic fields
• Electrons in a ferromagnetic metal with a domain wall
• Persistent spin currents in mesoscopic Haldane gap spin rings
• Spin transport in inhomogeneous magnetic fields: a proposal for Stern-Gerlach-like experiments with conduction electrons

Cited by in corpus (144)

• Berry Phase Effects on Electronic Properties
• Berry phase effect in anomalous thermoelectric transport
• Berry phase correction to electron density of states in solids
• Spin dynamics in semiconductors
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• On A Proper Definition of Spin Current
• Semiclassical theories of the anomalous Hall effect
• Quantum transport theory for nanostructures with Rashba spin-orbital interaction
• Spin currents and spin superfluidity
• Nondissipative Spin Hall Effect via Quantized Edge Transport
• Geometrical Optics of Beams with Vortices: Berry Phase and Orbital Angular Momentum Hall Effect
• Spin-Hall effect in a disordered 2D electron-system
• Ab initio calculation of intrinsic spin Hall effect in semiconductors
• Sign Changes of Intrinsic Spin Hall Effect in Semiconductors and Simple Metals: First-Principles Calculations
• Spin Hall effect and Berry phase in two dimensional electron gas
• Spin-Hall conductivity due to Rashba spin-orbit interaction in disordered systems
• The definition of the spin current: The angular spin current and its physical consequences
• The angular spin current and its physical consequences
• Disordered Topological Insulators: A Non-Commutative Geometry Perspective
• Imaging mesoscopic spin Hall flow: Spatial distribution of local spin currents and spin densities in and out of multiterminal spin-orbit coupled semiconductor nanostructures
• Real-Space Berry Phases - Skyrmion Soccer
• Spin-Hall transport of heavy holes in III-V semiconductor quantum wells
• Berry phase modification to the energy spectrum of excitons
• Decoherence of transported spin in multichannel spin-orbit coupled spintronic devices: Scattering approach to spin density matrix from the ballistic to the localized regime
• Intrinsic Spin and Orbital-Angular-Momentum Hall Effect
• SU(2)xU(1) unified theory for charge, orbit and spin currents
• Coherent wave-packet evolution in coupled bands
• Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
• Spin-Hall and spin-diagonal conductivity in the presence of Rashba and Dresselhaus spin-orbit coupling
• Intrinsic Spin Hall Edges
• Disorder effects in the AHE induced by Berry curvature
• Anomalous Hall effect in a two-dimensional electron gas with spin-orbit interaction
• Spin Hall Effect
• Non-Abelian hydrodynamics and the flow of spin in spin-orbit coupled substances
• Edge spin accumulation in semiconductor two-dimensional hole gases
• Thermal Hall effect and topological edge states in a square lattice antiferromagnet
• Charge Hall effect driven by spin-dependent chemical potential gradients and Onsager relations in mesoscopic systems
• Topological spin transport of relativistic electron
• Spin Gauge Fields: from Berry Phase to Topological Spin Transport and Hall Effects
• Noncommutative geometry and nonabelian Berry phase in the wave-packet dynamics of Bloch electrons
• Spin-Hall effect on edge magnetization and electric conductance of a 2D semiconductor strip
• Transverse Spin-Orbit Force in the Spin Hall Effect in Ballistic Semiconductor Wires
• Spin-Hall conductivity of a disordered 2D electron gas with Dresselhaus spin-orbit interaction
• Resonant spin Hall conductance in quantum Hall systems lacking bulk and structural inversion symmetry
• Dependence of the intrinsic spin Hall effect on spin-orbit interaction character
• Spin Hall effects in diffusive normal metals
• Consistency in Formulation of Spin Current and Torque Associated with a Variance of Angular Momentum
• Non-vanishing spin Hall currents in disordered spin-orbit coupling systems
• Equilibrium spin currents in the Rashba medium
• Conserved Spin and Orbital Angular Momentum Hall Current in a Two-Dimensional Electron System with Rashba and Dresselhaus Spin-orbit Coupling
• Spin Hall effect in clean two dimensional electron gases with Rashba spin-orbit coupling
• The effect of in-plane magnetic field on the spin Hall effect in Rashba-Dresselhaus system
• Theory of conserved spin current and its application to two dimensional hole gas
• Spin current and accumulation generated by spin Hall insulator
• Berry-phase effects in dipole density and Mott relation
• Spin precession and alternating spin polarization in spin-3/2 hole systems
• Theory of electric-field-induced spin accumulation and spin current in the two-dimensional Rashba model
• Detection of current-induced spins by ferromagnetic contacts
• Spin Hall Effect and Spin Transfer in Disordered Rashba Model
• Spin-Hall effect and spin-Coulomb drag in doped semiconductors
• Spin Hall effect in the kagome lattice with Rashba spin-orbit interaction
• Streda-like formula in spin Hall effect
• Polarized Electric Current in Semiclassical Transport with Spin-Orbit Interaction
• Anomalous Nernst effect in type-II Weyl semimetals
• Calculation of current-induced torque from spin continuity equation
• The Quaternionic Quantum Mechanics
• Spin accumulation in ballistic Rashba bar
• Stroboscopic wavepacket description of non-equilibrium many-electron problems
• Spin Hall effect in two-dimensional $p$-type semiconductors in a magnetic field
• Influences of spin accumulation on the intrinsic spin Hall effect in two dimensional electron gases with Rashba spin-orbit coupling
• Conserved current of nonconserved quantities
• On calculating the Berry curvature of Bloch electrons using the KKR method
• On the Hamiltonian nature of semiclassical equations of motion in the presence of an electromagnetic field and Berry curvature
• Materials challenges for SrRuO3: from conventional to quantum electronics
• A relativistic quantum theory of dyons wave propagation
• Filtering of spin currents based on ballistic ring
• Modeling for Semiconductor Spintronics
• Chiral two-dimensional electron gas in a periodic magnetic field
• Torsional Responses and Liouville Anomaly in Weyl Semimetals with Dislocations
• Gauge symmetry breaking and topological quantization for the Pauli Hamiltonian
• Inertial effect on spin orbit coupling and spin transport
• Spin currents, spin torques, and the concept of spin superfluidity
• Generalized Kubo formula for spin transport: A theory of linear response to non-Abelian fields
• Resonant intrinsic spin Hall effect in p-type GaAs quantum well structure
• Extracting current-induced spins: spin boundary conditions at narrow Hall contacts
• Spin Hall and longitudinal conductivity of a conserved spin current in two dimensional heavy-hole gases
• Electric generation of spin in crystals with reduced symmetry
• Torque and conventional spin-Hall currents in two-dimensional spin-orbit coupled systems: Universal relation and hyper-selection rule
• Role of relaxation in spin Hall effect
• On the conservation of spin currents in spin-orbit coupled systems
• Spin Hall effect, Hall effect and spin precession in diffusive normal metals
• Geometrical phase effects on the Wigner distribution of Bloch electrons
• Anomalous Hall effect in superconductors with spin-orbit interaction
• Spin-charge transport driven by magnetization dynamics on disordered surface of doped topological insulators
• Topological nature of the proper spin current and the spin-Hall torque
• Spin-Hall effect due to the bulk states of topological insulators: Extrinsic contribution to the conserved spin current
• Quasi-Two-Dimensional Extraordinary Hall Effect
• A generalized Stoner criterion and versatile spin ordering in two-dimensional spin-orbit coupled electron systems
• Spin-Hall interface resistance in terms of Landauer type spin dipoles
• Spin Injection in Quantum Wells with Spatially Dependent Rashba Interaction
• Quantized electrochemical transport in Weyl semimetals
• Intrinsic torque on the orbital angular momentum in an electric field
• Spin relaxation torque in metallic ferromagnets
• Relation Between the Spin Hall Conductivity and the Spin Chern Number for Dirac-like Systems
• Spin Transport in non-inertial frame
• Relativistic diffusion of elementary particles with spin
• Electric Polarization in Inhomogeneous Crystals
• Quenching of Spin Hall Effect in Ballistic nano-junctions
• Spin-Hall effect in topological materials: Evaluating the proper spin current in systems with arbitrary degeneracies
• Intrinsic Dipole Hall effect in twisted MoTe${}_2$: magnetoelectricity and contact-free signatures of topological transitions
• Spin torque contribution to the a.c. spin Hall conductivity
• Spin cloud induced around an elastic scatterer by the intrinsic spin-Hall effect
• Quadratic response theory for spin-orbit coupling in semiconductor heterostructures
• Current-induced quasiparticle magnetic multipole moments
• Spin Transport Properties in Heisenberg Antiferromagnetic Spin Chains: Spin Current induced by Twisted Boundary Magnetic Fields
• Theory of Spin Hall Effects in Semiconductors
• Topological Force and Torque in Spin-Orbit Coupling System
• Current induced local spin polarization due to the spin-orbit coupling in a two dimensional narrow strip
• Local spin density in two-dimensional electron gas with hexagonal boundary
• Electric field effect on electron gas spins in two-dimensional magnets with strong spin-orbit coupling
• Microscopic theory for the Doppler velocimetry of spin propagation in semiconductor quantum wells
• Semiclassical conservation of spin and large transverse spin current in Dirac systems
• Symmetry-driven Intrinsic Nonlinear Pure Spin Hall Effect
• Chiral second-sound collective mode at the edge of 2D systems with nontrivial Berry curvature
• Spin Polarization and Dichroism Effects by Electric Field
• Understanding spin Hall effect in two-dimensional fermionic systems with generic spin-orbit interaction
• Classical and quantum chaotic angular-momentum pumps
• Maximum intrinsic spin-Hall conductivity in two-dimensional systems with k-linear spin-orbit interaction
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Intrinsic Spin Hall Effect with Spin-Tensor-Momentum Coupling
• Berry curvature associated to Fermi arcs in continuum and lattice Weyl systems
• Spin Hall conductivity of interacting two-dimensional electron systems
• Topological Aspects of Antiferromagnets
• On the Role of a Torsion-like Field in a Scenario for the Spin Hall Effect
• Direct and inverse spin Hall effect: Lorentz force and Zeeman energy
• Fractional spin excitations and conductance in the spiral staircase Heisenberg ladder
• Orbital magnetization as the origin of the nonlinear Hall effect
• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field
• Frequency Domain Berry Curvature Effect on Time Refraction
• Exotic superfluid of trapped Fermi gases with spin-orbit coupling in dimensional crossover
• Derivation of a linear collision operator for the spinorial Wigner equation and its semiclassical limit
• Thermal Responses of Spin Density and Spin Current Induced by Bogoliubov Fermi Surfaces in Proximity Superconductors
• Berry Phase origin of the planar spin Hall effect
• Vlasov-Klimontovich Equation in Action