Quantum transport through ballistic cavities: soft vs. hard quantum chaos

Details Quantum transport through ballistic cavities: soft vs. hard quantum chaos Quantum transport through ballistic cavities: soft vs. hard quantum chaos

1999-08-06

arxiv.org/abs/cond-mat/9908090v2

Phys. Rev. Letters 84, 5504 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.84.5504

We study transport through a two-dimensional billiard attached to two infinite leads by numerically calculating the Landauer conductance and the Wigner time delay. In the generic case of a mixed phase space we find a power law distribution of resonance widths and a power law dependence of conductance increments apparently reflecting the classical dwell time exponent, in striking difference to the case of a fully chaotic phase space. Surprisingly, these power laws appear on energy scales {\em below} the mean level spacing, in contrast to semiclassical expectations.

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