Semiclassical theory of spin-orbit interactions using spin coherent states
Chaotic Dynamics
2009-02-20 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Abstract
We formulate a semiclassical theory for systems with spin-orbit interactions. Using spin coherent states, we start from the path integral in an extended phase space, formulate the classical dynamics of the coupled orbital and spin degrees of freedom, and calculate the ingredients of Gutzwiller's trace formula for the density of states. For a two-dimensional quantum dot with a spin-orbit interaction of Rashba type, we obtain satisfactory agreement with fully quantum-mechanical calculations. The mode-conversion problem, which arose in an earlier semiclassical approach, has hereby been overcome.
Keywords
Cite
@article{arxiv.nlin/0203015,
title = {Semiclassical theory of spin-orbit interactions using spin coherent states},
author = {M. Pletyukhov and Ch. Amann and M. Mehta and M. Brack},
journal= {arXiv preprint arXiv:nlin/0203015},
year = {2009}
}
Comments
LaTeX (RevTeX), 4 pages, 2 figures, accepted for Physical Review Letters; final version (v2) for publication with minor editorial changes