Please use this identifier to cite or link to this item: 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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