Semiclassical theory of persistent current fluctuations in ballistic chaotic rings
Mesoscale and Nanoscale Physics
2015-09-30 v1
Abstract
The persistent current in a mesoscopic ring has a Gaussian distribution with small non-Gaussian corrections. Here we report a semiclassical calculation of the leading non-Gaussian correction, which is described by the three-point correlation function. The semiclassical approach is applicable to systems in which the electron dynamics is ballistic and chaotic, and includes the dependence on the Ehrenfest time. At small but finite Ehrenfest times, the non-Gaussian fluctuations are enhanced with respect to the limit of zero Ehrenfest time.
Keywords
Cite
@article{arxiv.1507.05422,
title = {Semiclassical theory of persistent current fluctuations in ballistic chaotic rings},
author = {Piet W. Brouwer and Jeroen Danon},
journal= {arXiv preprint arXiv:1507.05422},
year = {2015}
}
Comments
9 pages, 3 figures; submitted as invited contribution to a special issue in Physica E in memory of Markus Buettiker