Full counting statistics of chaotic cavities from classical action correlations

Details Full counting statistics of chaotic cavities from classical action correlations Full counting statistics of chaotic cavities from classical action correlations

2007-03-30

arxiv.org/abs/cond-mat/0703803v4

J. Phys. A 41, 365102 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 6 figures; v2-added some references; v3-Substantial changes in presentation (results remain the same): we have remov

Scientific paper

10.1088/1751-8113/41/36/365102

We present a trajectory-based semiclassical calculation of the full counting statistics of quantum transport through chaotic cavities, in the regime of many open channels. Our method to obtain the $m$th moment of the density of transmission eigenvalues requires two correlated sets of $m$ classical trajectories, therefore generalizing previous works on conductance and shot noise. The semiclassical results agree, for all values of $m$, with the corresponding predictions from random matrix theory.

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