Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2001-08-17
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
14 pages, 3 figures
Scientific paper
We investigate a semiclassical conductance for ballistic open three-dimensional (3-d) billiards. For partially or completely broken-ergodic 3-d billiards such as SO(2) symmetric billiards, the dependence of the conductance on the Fermi wavenumber is dramatically changed by the lead orientation. Application of a symmetry-breaking weak magnetic field brings about mixed phase-space structures of 3-d billiards which ensures a novel Arnold diffusion that cannot be seen in 2-d billiards. In contrast to the 2-d case, the anomalous increment of the conductance should inevitably include a contribution arising from Arnold diffusion as well as a weak localization correction. Discussions are devoted to the physical condition for observing this phenomenon.
Ma Jun
Nakamura Katsuhiro
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