Off-Fermi surface cancellation effects in spin-Hall conductivity of a two-dimensional Rashba electron gas

Abstract

We calculate the spin-Hall conductivity of a disordered two-dimensional Rashba electron gas within the self-consistent Born approximation and for arbitrary values of the electron density, parametrized by the ratio $E_F/E_0$, where $E_F$ is the Fermi level and $E_0$ is the spin-orbit energy. We confirm earlier results indicating that in the limit $E_F/E_0\gg 1$ the vertex corrections suppress the spin-Hall conductivity. However, for sufficiently low electron density such that $E_F\lesssim E_0$, we find that the vertex corrections no longer cancel contributions from the Fermi surface, and they cannot therefore suppress the spin current. This is instead achieved by contributions away from the Fermi surface, disregarded in earlier studies, which become large when $E_F\lesssim E_0$.

arXiv comment5 pages, 2 figures, version as published

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Cited by in corpus (18)

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• Spin Hall Effect
• Covariant conservation laws and the spin Hall effect in Dirac-Rashba systems
• Unconventional dc transport in Rashba electron gases
• Nonvanishing spin Hall currents in the presence of magnetic impurities
• Impact of Dresselhaus vs. Rashba spin-orbit coupling on the Holstein polaron
• Conserved spin current for the Mott relation
• Integer quantum Hall conductivity and longitudinal conductivity in silicene under the electric field and magnetic field
• Impact of spin-orbit coupling on the Holstein polaron
• Anisotropy of transport in bulk Rashba metals
• Semiclassical Boltzmann theory of spin Hall effects in giant Rashba systems
• Spatial trends of non-collinear exchange coupling mediated by itinerant carriers with different Fermi surfaces
• Spin torque contribution to the a.c. spin Hall conductivity
• Disorder effect of resonant spin Hall effect in a tilted magnetic field
• Influence of inelastic relaxation time on intrinsic spin Hall effects in a disordered two-dimensional electron gas
• Steady-state spin densities and currents
• Spin Hall Conductivity in the impure two-dimensional Rashba s-wave superconductor
• Vanishing of interband light absorption in a persistent spin helix state