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Semiclassical Theory of Chaotic Quantum Transport

Klaus Richter·Martin Sieber
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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.

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Klaus Richter, Martin Sieber. 2002-05-08. Semiclassical Theory of Chaotic Quantum Transport. https://doi.org/10.1103/physrevlett.89.206801

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