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26 April 2024
 
  » arxiv » arxiv.0705.2424

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Spin-Hall edge spin polarization in a ballistic 2D electron system
V. A. Zyuzin ; P. G. Silvestrov ; E. G. Mishchenko ;
Date 16 May 2007
Subject Mesoscopic Systems and Quantum Hall Effect (cond-mat.mes-hall)
AbstractSpin-Hall effect in ballistic 2D electron systems reveals some universal properties. In particular, the net spin polarization across the edge of the conductor is second order, ~lambda^2, in spin-orbit coupling constant independent of the form of the boundary potential, with the contributions of normal and evanescent modes each being ~sqrt{lambda} 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.
Source arXiv, arxiv.0705.2424
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