Semiclassical Theory of Chaotic Quantum Transport

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.

4 pages, 1 figure

References in corpus (1)

• Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems

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