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

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

2007-05-16

arxiv.org/abs/0705.2424v3

Phys. Rev. Lett. 99, 106601 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 3 figures; final form, Dresselhaus coupling included

Scientific paper

10.1103/PhysRevLett.99.106601

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, ~\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.

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