Semiclassical theory of h/e Aharonov-Bohm oscillation for doubly connected ballistic cavities

Details Semiclassical theory of h/e Aharonov-Bohm oscillation for doubly connected ballistic cavities Semiclassical theory of h/e Aharonov-Bohm oscillation for doubly connected ballistic cavities

2000-02-03

arxiv.org/abs/nlin/0002002v2

Phys. Rev. B 58 (1998) 6704

Nonlinear Sciences

Chaotic Dynamics

RevTeX, 6 pages, 3 figures

Scientific paper

10.1103/PhysRevB.58.6704

In Aharonov-Bohm (AB) cavities forming doubly connected ballistic structures, h/e AB oscillations that result from the interference among the complicated trapped paths in the cavity can be described by the framework of the semiclassical theory. We derive formulas of the correlation function C(\Delta \phi) of the nonaveraged magnetoconductance for chaotic and regular AB cavities. The different higher harmonics behaviors for C(\Delta \phi) 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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