Semiclassical Theory of Chaotic Quantum Transport
  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. 
Klaus Richter (1) and Martin Sieber (2) ((1) University of Regensburg,   Germany, (2) University of Bristol, England)