Semiclassical Theory of Chaotic Quantum Transport

Preprint

8 May 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0205158

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

APPROACH TO THE LANDAUER
SEMICLASSICAL APPROACH
REFINED SEMICLASSICAL
SEMICLASSICAL THEORY
MESOSCOPIC SYSTEMS
QUANTUM TRANSPORT
CHAOTIC QUANTUM
CONSERVATION
DOUBLE SUMS

All Related Versions

Version 1, 2002-05-08, ArXiv
Published version: Physical Review Letters, 89 (20), 206801.

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