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Semiclassical level curvatures and quantum transport phenomena

Mitsusada M. Sano
Phys. Rev. E 54, 3591 – Published 1 October 1996
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Abstract

The semiclassical expression of level curvature for quantized chaotic systems with periodic lattice symmetry is derived. From this expression, the transport property of such systems is investigated via the Thouless formula. The relation between the Thouless formula and the Kubo formula is studied in an unusual way. It is revealed that Akkermans’s result on the relation between them from random matrix theory, which is for the metallic regime, corresponds to the universality of the underlying classical chaotic dynamics. The test of the expression obtained here is done for the quantized kicked rotator system. ©1996 The American Physical Society.

  • Received 4 April 1996

DOI:https://doi.org/10.1103/PhysRevE.54.3591

©1996 American Physical Society

Authors & Affiliations

Mitsusada M. Sano

  • Centre for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine Code Postale 231, Boulevard du Triomphe, B-1050 Brussels, Belgium
  • Department of Applied Physics, Tokyo Institute of Technology, Oh-okayama, 2-12-10, Meguro 152, Tokyo, Japan

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Vol. 54, Iss. 4 — October 1996

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