Semiclassical theory of chaotic quantum transport

Richter, Klaus and Sieber, Martin (2002) Semiclassical theory of chaotic quantum transport. PHYSICAL REVIEW LETTERS, 89 (20): 206801. ISSN 0031-9007

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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.

Item Type: Article
Uncontrolled Keywords: WEAK-LOCALIZATION; CLASSICAL TRAJECTORIES; SPECTRAL STATISTICS; MESOSCOPIC SYSTEMS; ANTIDOT LATTICES; MATRIX THEORY; CAVITIES; CONDUCTIVITY; CONDUCTANCE; DIVERGENCE;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Depositing User: Dr. Gernot Deinzer
Date Deposited: 26 Aug 2021 12:26
Last Modified: 26 Aug 2021 12:26
URI: https://pred.uni-regensburg.de/id/eprint/39671

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