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arXiv · 0705.2424

Spin-Hall edge spin polarization in a ballistic 2D electron system

V. A. Zyuzin·P. G. Silvestrov·E. G. Mishchenko
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Abstract

Universal properties of spin-Hall effect in ballistic 2D electron systems are addressed. The net spin polarization across the edge of the conductor is second order, ~λ^2, in spin-orbit coupling constant independent of the form of the boundary potential, with the contributions of normal and evanescent modes each being ~ \sqrtλ but of opposite signs. This general result is confirmed by the analytical solution for a hard-wall boundary, which also yields the detailed distribution of the local spin polarization. The latter shows fast (Friedel) oscillations with the spin-orbit coupling entering via the period of slow beatings only. Long-wavelength contributions of evanescent and normal modes exactly cancel each other in the spectral distribution of the local spin density.

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V. A. Zyuzin, P. G. Silvestrov, E. G. Mishchenko. 2007-09-07. Spin-Hall edge spin polarization in a ballistic 2D electron system. https://doi.org/10.1103/physrevlett.99.106601

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