Integrable theory of quantum transport in chaotic cavities
Mesoscale and Nanoscale Physics
2009-01-30 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Chaotic Dynamics
Exactly Solvable and Integrable Systems
Abstract
The problem of quantum transport in chaotic cavities with broken time-reversal symmetry is shown to be completely integrable in the universal limit. This observation is utilised to determine the cumulants and the distribution function of conductance for a cavity with ideal leads supporting an arbitrary number of propagating modes. Expressed in terms of solutions to the fifth Painlev\'e transcendent and/or the Toda lattice equation, the conductance distribution is further analysed in the large- limit that reveals long exponential tails in the otherwise Gaussian curve.
Keywords
Cite
@article{arxiv.0806.2784,
title = {Integrable theory of quantum transport in chaotic cavities},
author = {Vladimir Al. Osipov and Eugene Kanzieper},
journal= {arXiv preprint arXiv:0806.2784},
year = {2009}
}
Comments
4 pages; final version to appear in Physical Review Letters