Integrable theory of quantum transport in chaotic cavities

Details Integrable theory of quantum transport in chaotic cavities Integrable theory of quantum transport in chaotic cavities

2008-06-17

arxiv.org/abs/0806.2784v3

Phys.Rev.Lett.101:176804,2008

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages; final version to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.101.176804

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 Painlev\'e 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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