Universal quantum signature of mixed dynamics in antidot lattices

[摘要] We investigate phase coherent ballistic transport through antidot lattices in the generic case where the classical phase space has both regular and chaotic components. It is shown that the conductivity fluctuations have a non-Gaussian distribution, and that their moments have a power-law dependence on a semiclassical parameter, with fractional exponents. These exponents are obtained from bifurcating periodic orbits in the semiclassical approximation. They are universal in situations where sufficiently long orbits contribute.

[发布日期] 2005-12-01

[关键词] FRACTAL CONDUCTANCE FLUCTUATIONS;SOFT-WALL STADIUM;CHAOTIC SCATTERING;PERIODIC-ORBITS;WEAK-LOCALIZATION;UNIFORM APPROXIMATION;SEMICLASSICAL THEORY;BALLISTIC REGIME;BIFURCATIONS;TRANSPORT