Statistics of conductance and shot-noise power for chaotic cavities

Details Statistics of conductance and shot-noise power for chaotic cavities Statistics of conductance and shot-noise power for chaotic cavities

2007-10-29

arxiv.org/abs/0710.5370v1

ACTA PHYSICA POLONICA A vol. 112(2007) 691-697

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 3 figures. Proc. of the 3rd Workshop on Quantum Chaos and Localisation Phenomena, Warsaw, Poland, May 25-27, 2007

Scientific paper

We report on an analytical study of the statistics of conductance, $g$, and shot-noise power, $p$, for a chaotic cavity with arbitrary numbers $N_{1,2}$ of channels in two leads and symmetry parameter $\beta = 1,2,4$. With the theory of Selberg's integral the first four cumulants of $g$ and first two cumulants of $p$ are calculated explicitly. We give analytical expressions for the conductance and shot-noise distributions and determine their exact asymptotics near the edges up to linear order in distances from the edges. For $0

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