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

Shiro Kawabata

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arXiv · chao-dyn/9909006

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

Shiro Kawabata

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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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Shiro Kawabata. 1999-09-01. Semiclassical Theory of h/e Aharonov-Bohm Oscillation in Ballistic Regimes. https://arxiv.org/abs/chao-dyn/9909006

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