Semiclassical theory of ballistic transport through chaotic cavities with spin-orbit interaction
Mesoscale and Nanoscale Physics
2010-02-25 v1 Chaotic Dynamics
Abstract
We investigate the influence of spin-orbit interaction on ballistic transport through chaotic cavities by using semiclassical methods. Our approach is based on the Landauer formalism and the Fisher-Lee relations, appropriately generalized to spin-orbit interaction, and a semiclassical representation of Green functions. We calculate conductance coefficients by exploiting ergodicity and mixing of suitably combined classical spin-orbit dynamics, and making use of the Sieber-Richter method and its most recent extensions. That way we obtain weak anti-localization and confirm previous results obtained in the symplectic ensemble of Random Matrix Theory.
Keywords
Cite
@article{arxiv.0704.2702,
title = {Semiclassical theory of ballistic transport through chaotic cavities with spin-orbit interaction},
author = {Jens Bolte and Daniel Waltner},
journal= {arXiv preprint arXiv:0704.2702},
year = {2010}
}