Semiclassical Theory of Chaotic Quantum Transport

Klaus Richter and Martin Sieber
Phys. Rev. Lett. 89, 206801 – Published 24 October 2002

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.

  • Figure
  • Received 8 May 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.206801

©2002 American Physical Society

Authors & Affiliations

Klaus Richter1 and Martin Sieber2

  • 1Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
  • 2School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom

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Issue

Vol. 89, Iss. 20 — 11 November 2002

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