Magneto-spin Hall conductivity of a two-dimensional electron gas

Abstract

It is shown that the interplay of long-range disorder and in-plane magnetic field gives rise to an out-of-plane spin polarization and a finite spin Hall conductivity of the two-dimensional electron gas in the presence of Rashba spin-orbit coupling. A key aspect is provided by the electric-field induced in-plane spin polarization. Our results are obtained first in the \textit{clean} limit where the spin-orbit splitting is much larger than the disorder broadening of the energy levels via the diagrammatic evaluation of the Kubo-formula. Then the results are shown to hold in the full range of the disorder parameter $\alpha p_F\tau$ by means of the quasiclassical Green function technique.

5 pages, 1 figure

References in corpus (9)

• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Current induced electron spin polarization in strained semiconductors
• Suppression of the Persistent Spin Hall Current by Defect Scattering
• Spin-Hall effect in a disordered 2D electron-system
• Spin-Hall conductivity due to Rashba spin-orbit interaction in disordered systems
• Nonexistence of intrinsic spin currents
• Sum rules for spin-Hall conductivity cancelation
• Quasiclassical approach to the spin-Hall effect in the two-dimensional electron gas
• Out-of-plane spin polarization from in-plane electric and magnetic fields

Cited by in corpus (15)

• Quantum transport in Rashba spin-orbit materials: A review
• Non-Abelian gauge fields in the gradient expansion: generalized Boltzmann and Eilenberger equations
• Diffusive and precessional spin dynamics in a two-dimensional electron gas with disorder: a gauge theory view
• Theory of current-induced spin polarizations in an electron gas
• Tuning the Spin Hall Effect in a Two-Dimensional Electron Gas
• Duality of the spin and density dynamics for two-dimensional electrons with a spin-orbit coupling
• Spin polarizations and spin Hall currents in a two-dimensional electron gas with magnetic impurities
• Robust to impurity-scattering spin Hall effect in two-dimensional electron gas
• Spin dynamics of cold fermions with synthetic spin-orbit coupling
• Spin Hall effect in a two-dimensional electron gas in the presence of a magnetic field
• Intrinsic Spin Torque Without Spin-Orbit Coupling
• Mesoscopic fluctuations in the spin-electric susceptibility due to Rashba spin-orbit interaction
• Spin evolution of cold atomic gases in SU(2)$\otimes$U(1) fields
• Frequency- and transverse wave-vector-dependent spin Hall conductivity in two-dimensional electron gas with disorder
• Hanle effect in current induced spin orientation