Ma Jun
Email Address
tslmj@nus.edu.sg
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Publication Negative magneto-resistance beyond weak localization in three-dimensional billiards: Effect of Arnold diffusion(2003-03-15) Ma, J.; Yuan, R.-K.; Nakamura, K.; TEMASEK LABORATORIESWe 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.