Distributions of Conductance and Shot Noise and Associated Phase Transitions

Details Distributions of Conductance and Shot Noise and Associated Phase Transitions Distributions of Conductance and Shot Noise and Associated Phase Transitions

2008-09-05

arxiv.org/abs/0809.0999v1

PRL, 101, 216809 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures included

Scientific paper

10.1103/PhysRevLett.101.216809

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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