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arXiv · 0809.0999

Distributions of Conductance and Shot Noise and Associated Phase Transitions

Pierpaolo Vivo·Satya N. Majumdar·Oriol Bohigas
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Abstract

For a chaotic cavity with two indentical leads each supporting N channels, we compute analytically, for large N, the full distribution of the conductance and the shot noise power and show that in both cases there is a central Gaussian region flanked on both sides by non-Gaussian tails. The distribution is weakly singular at the junction of Gaussian and non-Gaussian regimes, a direct consequence of two phase transitions in an associated Coulomb gas problem.

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Pierpaolo Vivo, Satya N. Majumdar, Oriol Bohigas. 2008-09-05. Distributions of Conductance and Shot Noise and Associated Phase Transitions. https://doi.org/10.1103/physrevlett.101.216809

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