`Spin-Spin' Hall Effect in Two-Dimensional Electron Systems with Spin-Orbit Interaction

Details `Spin-Spin' Hall Effect in Two-Dimensional Electron Systems with Spin-Orbit Interaction `Spin-Spin' Hall Effect in Two-Dimensional Electron Systems with Spin-Orbit Interaction

2005-09-27

arxiv.org/abs/cond-mat/0509678v5

J. Phys.: Condens. Matter 18 (2006) 7349-7359

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages; converted into a detailed paper; accepted in J. Phys.: Condensed Matter

Scientific paper

10.1088/0953-8984/18/31/027

We calculate spin Hall conductivities in the two dimensional electron systems with Rashba spin-orbit interaction. The salient feature is that, apart from the usual spin-Hall conductivity \sigma^z_{xy} which corresponds to the induction of out-of-plane spin-current due to the application of transverse charge current, there is a novel spin-Hall conductivity \sigma^\perp_{xy} which arises due to the induction of transverse spin-polarized current in the transverse direction by the application of in-plane spin-polarized current. This phenomenon which we call as `spin-spin' Hall effect is a spin analog of conventional Hall effect, but with no magnetic field. This contribution may be understood through the spin-diffusive equation.

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