The Non-Dissipative Spin-Hall Current
Mesoscale and Nanoscale Physics
2007-05-23 v2
Abstract
A theory based on the Aharonov -Bohm effect in the momentum space for the Spin-Hall conductivity without a magnetic field is presented. The two dimensional Rashba Hamiltonian is diagonalized in the momentum spinor basis. This spinor is singular at K=0. The representation of the cartesian coordinates in the spinor momentum basis obey non-commutative rules. The non-commuting relations are a result of an effective Aharonov-Bohm vortex at K=0. We find the exact value of for the Spin-Hall conductivity. The effect of a time reversal scattering potential on the Spin-Hall current causes the current to vanishes for an infinite system.
Keywords
Cite
@article{arxiv.cond-mat/0509607,
title = {The Non-Dissipative Spin-Hall Current},
author = {D. Schmeltzer},
journal= {arXiv preprint arXiv:cond-mat/0509607},
year = {2007}
}
Comments
submitted to P.R.L