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arXiv · 0806.2784

Integrable theory of quantum transport in chaotic cavities

Vladimir Al. Osipov·Eugene Kanzieper
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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 $n$ of propagating modes. Expressed in terms of solutions to the fifth Painlevé transcendent and/or the Toda lattice equation, the conductance distribution is further analysed in the large-$n$ limit that reveals long exponential tails in the otherwise Gaussian curve.

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Vladimir Al. Osipov, Eugene Kanzieper. 2008-09-25. Integrable theory of quantum transport in chaotic cavities. https://doi.org/10.1103/physrevlett.101.176804

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