Quasiclassical approach to the spin-Hall effect in the two-dimensional electron gas

Abstract

We study the spin-charge coupled transport in a two-dimensional electron system using the method of quasiclassical ($\xi$-integrated) Green's functions. In particular we derive the Eilenberger equation in the presence of a generic spin-orbit field. The method allows us to study spin and charge transport from ballistic to diffusive regimes and continuity equations for spin and charge are automatically incorporated. In the clean limit we establish the connection between the spin-Hall conductivity and the Berry phase in momentum space. For finite systems we solve the Eilenberger equation numerically for the special case of the Rashba spin-orbit coupling and a two-terminal geometry. In particular, we calculate explicitly the spin-Hall induced spin polarization in the corners, predicted by Mishchenko et al. [13]. Furthermore we find universal spin currents in the short-time dynamics after switching on the voltage across the sample, and calculate the corresponding spin-Hall polarization at the edges. Where available, we find perfect agreement with analytical results.

9 pages, 6 figures

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• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
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• Sum rules for spin-Hall conductivity cancelation
• Nonexistence of intrinsic spin currents
• Spin-Hall and spin-diagonal conductivity in the presence of Rashba and Dresselhaus spin-orbit coupling
• Intrinsic Spin Hall Edges
• Small-angle impurity scattering and the spin Hall conductivity in 2D systems
• Spin-Hall effect on edge magnetization and electric conductance of a 2D semiconductor strip
• Dependence of the intrinsic spin Hall effect on spin-orbit interaction character
• The effect of in-plane magnetic field on the spin Hall effect in Rashba-Dresselhaus system
• Intrinsic spin current for an arbitrary Hamiltonian and scattering potential
• Quasiclassical theory of charge transport in disordered interacting electron systems
• Role of relaxation in spin Hall effect

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• Magnetoelectric effects in Josephson junctions
• Unconventional dc transport in Rashba electron gases
• Spin polarizations and spin Hall currents in a two-dimensional electron gas with magnetic impurities
• Spin-Hall effects in a Josephson contact
• Current-induced spin polarization at the surface of metallic films: a theorem and an ab initio calculation
• Influence of the impurity scattering on charge transport in unconventional superconductor junctions
• Magneto-spin Hall conductivity of a two-dimensional electron gas
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• Spin accumulation without spin current
• Extracting current-induced spins: spin boundary conditions at narrow Hall contacts
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• Spin-Hall interface resistance in terms of Landauer type spin dipoles
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• Spin Hall and inverse spin galvanic effects in graphene with strong interfacial spin-orbit coupling: a quasi-classical Green's function approach
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• Quantum Kinetic Theory of the Linear Response for Weakly Disordered Multiband Systems
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• Edge spin accumulation in 2D electron and hole systems in a quasi-ballistic regime
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• Quasiclassical theory of the spin-orbit magnetoresistance of three-dimensional Rashba metals
• Quasiclassical theory of electronic transport in mesoscopic systems: Luttinger liquids revisited
• Crossover from diffusive to non-diffusive dynamics in the two-dimensional electron gas with Rashba spin-orbit coupling
• Intrinsic Spin Hall Effect: Topological Transitions in Two-Dimensional Systems
• Spin Hall and Edelstein effects in metallic films: from 2D to 3D
• Spin accumulation in the spin Nernst effect
• Charge-Spin Conversion in Two-Subband Quantum Wells with Conventional and Unconventional Rashba Spin-Orbit Coupling
• Quasiclassical approach and spin-orbit coupling
• A convenient Keldysh contour for thermodynamically consistent perturbative and semiclassical expansions
• Steady-state spin densities and currents
• Dynamical charge and pseudospin currents in graphene and possible Cooper pair formation
• Wannier interpolation of spin accumulation coefficient
• Spin Hall magnetoresistance and spin Nernst magnetothermopower: role of the inverse spin galvanic effect
• Spin Hall conductivity of interacting two-dimensional electron systems
• Spin relaxation in Rashba rings
• Spin Hall Conductivity in the impure two-dimensional Rashba s-wave superconductor
• The spin Hall effect