Shot-noise statistics in diffusive conductors

Abstract

We study the full probability distribution of the charge transmitted through a mesoscopic diffusive conductor during a measurement time T. We have considered a semi-classical model, with an exclusion principle in a discretized single-particle phase-space. In the large T limit, numerical simulations show a universal probability distribution which agrees very well with the quantum mechanical prediction of Lee, Levitov and Yakovets [PRB {51} 4079 (1995)] for the charge counting statistics. Special attention is given to its third cumulant, including an analysis of finite size effects and of some experimental constraints for its accurate measurement.

Submitted to Eur. Phys. J. B (Jan. 2002)

References in corpus (2)

• Large Deviation of the Density Profile in the Steady State of the Open Symmetric Simple Exclusion Process
• Free Energy Functional for Nonequilibrium Systems: An Exactly Solvable Case

Cited by in corpus (7)

• Current fluctuations in non-equilibrium diffusive systems: an additivity principle
• Environmental effects in the third moment of voltage fluctuations in a tunnel junction
• Electron shot noise beyond the second moment
• Current fluctuations in the one dimensional Symmetric Exclusion Process with open boundaries
• Mesoscopic Full Counting Statistics and Exclusion models
• Quasiparticle transport in arrays of chaotic cavities
• Non-Gaussian Current Fluctuations in a Short Diffusive Conductor