Shot-noise statistics in diffusive conductors
Laboratoire de Physique de la Matière Condensée, École Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France
2 Laboratoire de Physique Théorique et Hautes Énergies (CNRS UMR 7589) , Université Paris VII - Denis Diderot, 4 place Jussieu, 75252 Paris Cedex 05, France
Corresponding author: a Philippe.Roche@lpmc.ens.fr
Published online: 6 June 2002
We study the full probability distribution of the charge transmitted through a mesoscopic diffusive conductor during a measurement time Δ. We have considered a semi-classical model, with an exclusion principle in a discretized single-particle phase-space. In the large Δ limit, numerical simulations show a universal probability distribution which agrees very well with the quantum mechanical prediction of Lee et al. [Phys. Rev. B 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.
PACS: 72.70.+m – Noise processes and phenomena / 73 – Electronic structure and electrical properties of surfaces, interfaces, thin films, and low-dimensional structures / 71.10.Fd – Lattice fermion models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002