Shot-noise statistics in diffusive conductors

Philippe-Emmanuel Roche (1) , Benoît Douçot (1, 2)

1 LPA - Laboratoire Pierre Aigrain
2 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

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.

Domaines: Autre [cond-mat.other]; Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

Philippe-Emmanuel Roche, Benoît Douçot. Shot-noise statistics in diffusive conductors. The European Physical Journal B: Condensed Matter and Complex Systems, 2002, 27, pp.393. ⟨10.1140/epjb/e2002-00170-5⟩. ⟨hal-00598225⟩