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

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.