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Vanishing Spin-Hall Conductivity in 2D disordered Rashba electron gas

Ol'ga V. Dimitrova
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Abstract

For the two-dimensional ideal electron gas with the Rashba spin-orbit interaction and in the presence of non-magnetic short-ranged potential impurities the spin-Hall conductivity $σ_{sH}$ is found by direct microscopic calculation. Within the semiclassical approximation $\hbar/τ\ll ε_F$ and $Δ\ll ε_F$ the value of $σ_{sH}$ is zero for arbitrary ratio of the spin-orbit splitting $Δ$ and the inverse elastic scattering time $1/τ$.

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Ol'ga V. Dimitrova. 2004-09-16. Vanishing Spin-Hall Conductivity in 2D disordered Rashba electron gas. https://arxiv.org/abs/cond-mat/0405339

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