Distributions of Conductance and Shot Noise and Associated Phase Transitions

Pierpaolo Vivo (1) , Satya N. Majumdar (2) , Oriol Bohigas (2)

1 ICTP - Abdus Salam International Centre for Theoretical Physics [Trieste]
2 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

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.

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]; Mécanique statistique [cond-mat.stat-mech]

Pierpaolo Vivo, Satya N. Majumdar, Oriol Bohigas. Distributions of Conductance and Shot Noise and Associated Phase Transitions. Physical Review Letters, 2008, 101, pp.216809. ⟨hal-00349040⟩