Spin-Hall conductivity of a spin-polarized two-dimensional electron gas with Rashba spin-orbit interaction and magnetic impurities

Abstract

The Kubo formula is used to calculate the spin-Hall conductivity in a spin-polarized two-dimensional electron system with Rashba-type spin-orbit interaction. As in the case of the unpolarized electron system, spin Hall conductivity is entirely determined by states at the Fermi level, a property that persists in the presence of magnetic impurities. In the clean limit, the spin-Hall conductivity decreases monotonically with the Zeeman splitting, a result of the ordering effect on the electron spins produced by the magnetic field. In the presence of magnetic impurities, the spin-dependent scattering determines a finite renormalization of the static part of the fully dressed vertex correction of the velocity operator that leads to an enhancement of the σ_{sH}, an opposite behaviour to that registered in the presence of spin-independent disorder. The variation of σ_{sH} with the strength of the Rashba coupling and the Zeeman splitting is studied.

13 pages, 5 figures

References in corpus (15)

• Universal Intrinsic Spin-Hall Effect
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Theory of Spin-Charge Coupled Transport in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interactions
• Can Non-Equilibrium Spin Hall Accumulation be Induced in Ballistic Nanostructures?
• Spin-Hall effect in a disordered 2D electron-system
• Charge and spin Hall conductivity in metallic graphene
• Dissipation effects in spin-Hall transport of electrons and holes
• Vertex Corrections on the Anomalous Hall Effect in Spin-polarized Two-dimensional Electron Gases with Rashba Spin-orbit Interaction
• Anomalous Hall effect in a two-dimensional electron gas with spin-orbit interaction
• Spin Hall effect of conserved current: Conditions for a nonzero spin Hall current
• Spin Splitting and Spin Current in Strained Bulk Semiconductors
• Streda-like formula in spin Hall effect
• Longitudinal and spin-Hall conductance of a two-dimensional Rashba system with arbitrary disorder
• Dissipationless Spin Current in Anisotropic p-Doped Semiconductors
• Finite-size Effects in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interaction

Cited by in corpus (6)

• Spin-Orbit Torques in Two-Dimensional Rashba Ferromagnets
• Role of Berry curvature in the generation of spin currents in Rashba systems
• Intrinsic Spin Torque Without Spin-Orbit Coupling
• Geometric Origin of Intrinsic Spin Hall Effect in an Inhomogeneous Electric Field
• Dynamical spin Hall conductivity in a magnetic disordered system
• Many-body correction to the intrinsic anomalous and spin Hall conductivities