Semiclassical Theory of Chaotic Quantum Transport
Mesoscale and Nanoscale Physics
2009-11-07 v1
Abstract
We present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbolic dynamics that including off-diagonal contributions to double sums over classical paths gives a weak-localization correction in quantitative agreement with results from random matrix theory. We further discuss the magnetic field dependence. This semiclassical treatment accounts for current conservation.
Keywords
Cite
@article{arxiv.cond-mat/0205158,
title = {Semiclassical Theory of Chaotic Quantum Transport},
author = {Klaus Richter and Martin Sieber},
journal= {arXiv preprint arXiv:cond-mat/0205158},
year = {2009}
}
Comments
4 pages, 1 figure