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Ballistic Weak Localization in Classically Chaotic Antidot Arrays: Influence of Geometric Factors

Richter, Klaus and Hennig, Ralf and Suhrke, Michael and Yevtushenko, Oleg (2000) Ballistic Weak Localization in Classically Chaotic Antidot Arrays: Influence of Geometric Factors. Physica E 6 (1-4), pp. 449-452.

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Other URL: http://dx.doi.org/10.1016/S1386-9477(99)00210-6

Abstract

We address weak localization (WL) of electrons in a two-dimensional ballistic classically chaotic billiard of antidots. According to a recent proposal ballistic WL is sensitive to the transport relaxation and phase-coherence times as well as to the Ehrenfest time ${\it t$_{E}$}$ and to the Lyapunov exponent ${\it lambda}$ of the classical system. This results in a non-trivial effect of the geometrical parameters of the antidots on the quantum WL correction to the classical magnetoconductivity. We analyze this phenomenon in detail and discuss how ${\it t$_{E }$}$ and ${\it lambda}$ can in principle be determined from conductivity measurements.