Bloch's theory in periodic structures with Rashba's spin-orbit interaction
Mesoscale and Nanoscale Physics
2007-09-19 v2
Abstract
We consider a two-dimensional electron gas with Rashba's spin-orbit interaction and two in-plane potentials superimposed along directions perpendicular to each other. The first of these potentials is assumed to be a general periodic potential while the second one is totally arbitrary. A general form for Bloch's amplitude is found and an eigen-value problem for the band structure of the system is derived. We apply the general result to the two particular cases in which either the second potential represents a harmonic in-plane confinement or it is zero. We find that for a harmonic confinement regions of the Brillouin zone with high polarizations are associated with the ones of large group velocity.
Cite
@article{arxiv.0705.3830,
title = {Bloch's theory in periodic structures with Rashba's spin-orbit interaction},
author = {S. Smirnov and D. Bercioux and M. Grifoni},
journal= {arXiv preprint arXiv:0705.3830},
year = {2007}
}