Divergence of the Classical trajectories and Weak Localization

Details Divergence of the Classical trajectories and Weak Localization Divergence of the Classical trajectories and Weak Localization

1996-03-16

arxiv.org/abs/cond-mat/9603121v2

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.54.14423

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 $t_E = \lambda^{-1} |\ln \hbar|$, where $\lambda$ 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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