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Phys. Rev. Lett. 89, 206801 (2002) [4 pages]

Semiclassical Theory of Chaotic Quantum Transport

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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

Received 8 May 2002; published 24 October 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.206801
DOI:
10.1103/PhysRevLett.89.206801
PACS:
73.23.-b, 03.65.Sq, 05.45.Mt, 73.20.Fz