Semiclassical Theory of Chaotic Quantum Transport
Klaus Richter (1), Martin Sieber (2) ((1) University of Regensburg,, Germany, (2) University of Bristol, England)
TL;DR
This paper develops a refined semiclassical method to accurately predict quantum transport properties in chaotic mesoscopic systems, aligning with random matrix theory and accounting for magnetic field effects.
Contribution
It introduces an improved semiclassical approach that includes off-diagonal contributions, providing quantitative agreement with random matrix theory for chaotic systems.
Findings
Weak-localization correction matches random matrix theory predictions.
Off-diagonal contributions are essential for accurate conductance calculations.
The approach accounts for magnetic field dependence and current conservation.
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.
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