Negative Magneto-Resistance Beyond Weak Localization in Three-Dimensional Billiards:Effect of Arnold Diffusion |
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Authors: | MA Jun YUAN Ren-Kuan Katsuhiro Nakamura |
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Institution: | 1. Department of Applied Physics, Osaka City University,
Sumiyoshi, Osaka 558-8585, Japan
;2. Temasek Laboratories, National University of Singapore,
10 Kent Ridge Crescent, 119260 Singapore
;3. Department of Physics, Nanjing University, Nanjing 210093, China |
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Abstract: | 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. |
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Keywords: | negative magneto-resistance billiards chaos |
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