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

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

2004-05-17

arxiv.org/abs/cond-mat/0405339v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures. An error corrected in the calculation of the spin-Hall conductivity, leading to contrary effect

Scientific paper

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 $\sigma_{sH}$ is found by direct microscopic calculation. Within the semiclassical approximation $\hbar/\tau \ll \epsilon_F$ and $\Delta \ll \epsilon_F$ the value of $\sigma_{sH}$ is zero for arbitrary ratio of the spin-orbit splitting $\Delta$ and the inverse elastic scattering time $1/\tau$.

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