Distributions of Conductance and Shot Noise and Associated Phase Transitions

Journal Article · Fri Nov 21 00:00:00 EST 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.101.216809· OSTI ID:21179934

Vivo, Pierpaolo ^[1]; Majumdar, Satya N; Bohigas, Oriol ^[2]

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1. Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste (Italy)
2. Laboratoire de Physique Theorique et Modeles Statistiques (UMR 8626 du CNRS), Universite Paris-Sud, Batiment 100, 91405 Orsay Cedex (France)

For a chaotic cavity with two identical 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.

• OSTI ID: 21179934
• Journal Information: Physical Review Letters, Vol. 101, Issue 21; Other Information: DOI: 10.1103/PhysRevLett.101.216809; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHAOS THEORY
DISTRIBUTION
NOISE
PHASE TRANSFORMATIONS