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Semiclassical Theory of h/e Aharonov-Bohm Oscillation in Ballistic Regimes

1999/09/01 by Shiro Kawabata
Physics and Astronomy · #chao-dyn #cond-mat.mes-hall #nlin.CD

paper · pdf

published as Proc. of 24th Intern. Conf. on The Physics of Semiconductors, World Scientific (Singapore 1999) · 4 pages

arxiv created 1999/09/01 · arxiv updated 2009/11/30

Abstract

We study the magneto-transport in Aharonov-Bohm (AB) billiards forming doubly connected structures. In these systems, non-averaged conductance oscillates as a function of magnetic flux with period h/e. We derive formulas of the correlation function C of the magneto-conductance for chaotic and regular AB billiards by use of the semiclassical theory. The different higher harmonics behaviors for C are related to the differing distribution of classical dwelling times. The AB oscillation in ballistic regimes provides an experimental probe of quantum signatures of classical chaotic and regular dynamics.

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