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

References in corpus (9)

• Dissipationless Quantum Spin Current at Room Temperature
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Can Non-Equilibrium Spin Hall Accumulation be Induced in Ballistic Nanostructures?
• Spin-Hall effect in a disordered 2D electron-system
• Spin Hall effect and Berry phase in two dimensional electron gas
• Absence of vertex correction for the spin Hall effect in p-type semiconductors
• Intrinsic Spin Hall Edges
• Small-angle impurity scattering and the spin Hall conductivity in 2D systems
• Quasiclassical theory of charge transport in disordered interacting electron systems

Cited by in corpus (15)

• Generation of spin currents and spin densities in systems with reduced symmetry
• Theory of conserved spin current and its application to two dimensional hole gas
• Tuning the Spin Hall Effect in a Two-Dimensional Electron Gas
• Spin relaxation in narrow wires of a two-dimensional electron gas
• Spin polarizations and spin Hall currents in a two-dimensional electron gas with magnetic impurities
• Spin-Hall effects in a Josephson contact
• Magneto-spin Hall conductivity of a two-dimensional electron gas
• Extracting current-induced spins: spin boundary conditions at narrow Hall contacts
• Spin-density induced by electromagnetic wave in two-dimensional electron gas
• Charge and spin density response functions of the clean two-dimensional electron gas with Rashba spin-orbit coupling at finite momenta and frequencies
• Current-induced spin polarization and the spin Hall effect: a quasiclassical approach
• Boltzmann approach to the spin Hall effect revisited and electric field modified collision integrals
• 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
• Quasiclassical approach and spin-orbit coupling