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https://scholarbank.nus.edu.sg/handle/10635/132771
Title: | Negative magneto-resistance beyond weak localization in three-dimensional billiards: Effect of Arnold diffusion | Authors: | Ma, J. Yuan, R.-K. Nakamura, K. |
Keywords: | Billiards Chaos Negative magneto-resistance |
Issue Date: | 15-Mar-2003 | Citation: | Ma, J., Yuan, R.-K., Nakamura, K. (2003-03-15). Negative magneto-resistance beyond weak localization in three-dimensional billiards: Effect of Arnold diffusion. Communications in Theoretical Physics 39 (3) : 279-284. ScholarBank@NUS Repository. | 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. | Source Title: | Communications in Theoretical Physics | URI: | http://scholarbank.nus.edu.sg/handle/10635/132771 | ISSN: | 02536102 |
Appears in Collections: | Staff Publications |
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