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arXiv · 0710.5370

Statistics of conductance and shot-noise power for chaotic cavities

H. -J. Sommers·W. Wieczorek·D. V. Savin
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Abstract

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 $β= 1,2,4$. 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 $0<g<1$ a power law for the conductance distribution is exact. All results are also consistent with numerical simulations.

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H. -J. Sommers, W. Wieczorek, D. V. Savin. 2007-10-29. Statistics of conductance and shot-noise power for chaotic cavities. https://arxiv.org/abs/0710.5370

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