Divergence of the Classical trajectories and Weak Localization

1996/03/31 by I. L. Aleiner, A. I. Larkin · 1 citation
Physics and Astronomy · #cond-mat

paper · pdf · doi:10.1103/physrevb.54.14423

23 pages, 4 .eps figures; Major revisions in Secs. 3, 4, and 6; To appear in Phys. Rev. B, Nov. 15, 1996

arxiv created 1996/10/06 · arxiv updated 2009/11/30

Abstract

We study the weak localization correction (WLC) to transport coefficients of a system of electrons in a static long-range potential (e.g. an antidot array or ballistic cavity). We found that the weak localization correction to the current response is delayed by the large time t_E = λ^-1 |ln ℏ|, where λ is the Lyapunov exponent. In the semiclassical regime t_E is much larger than the transport lifetime. Thus, the fundamental characteristic of the classical chaotic motion, Lyapunov exponent, may be found by measuring the frequency or temperature dependence of WLC.

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