Quantum transport through ballistic cavities: soft vs. hard quantum chaos
Mesoscale and Nanoscale Physics
2016-08-31 v2 chao-dyn
Chaotic Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9908090,
title = {Quantum transport through ballistic cavities: soft vs. hard quantum chaos},
author = {Bodo Huckestein and Roland Ketzmerick and Caio H. Lewenkopf},
journal= {arXiv preprint arXiv:cond-mat/9908090},
year = {2016}
}
Comments
4 pages, 4 figures