Distributions of Conductance and Shot Noise and Associated Phase Transitions

2008/09/05 by Pierpaolo Vivo, Satya N. Majumdar, Oriol Bohigas · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.101.216809

published as PRL, 101, 216809 (2008) · 5 pages, 3 figures included

arxiv created 2008/09/05 · arxiv updated 2009/12/01

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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• Random Matrix Theory for Chaotic Wave Scattering and Transport

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