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|Title:||Negative magneto-resistance beyond weak localization in three-dimensional billiards: Effect of Arnold diffusion|
|Authors:||Ma, J. |
|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|
|Appears in Collections:||Staff Publications|
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