Distributions of Conductance and Shot Noise and Associated Phase Transitions
arXiv:0809.0999 · doi:10.1103/PhysRevLett.101.216809
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.
5 pages, 3 figures included
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- PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"