Electron-electron scattering effects on the Full Counting Statistics of Mesoscopic Conductors

TL;DR

This paper investigates how electron-electron scattering in the hot electron regime influences the full counting statistics of mesoscopic conductors, providing analytical and numerical results for different systems.

Contribution

It introduces a stochastic path integral method to calculate counting statistics, revealing effects of electron-electron scattering on charge distribution symmetry and frequency dispersion.

Findings

Heating from electron-electron scattering makes charge distribution symmetric in chaotic cavities.

Analytical expression derived for counting statistics in chaotic cavities.

Numerical results show the impact on diffusive wires' statistics in the hot electron regime.

Abstract

In the hot electron regime, electron-electron scattering strongly modifies not only the shot noise but also the full counting statistics. We employ a method based on a stochastic path integral to calculate the counting statistics of two systems in which noise in the hot electron regime has been experimentally measured. We give an analytical expression for the counting statistics of a chaotic cavity and find that heating due to electron-electron scattering renders the distribution of transmitted charge symmetric in the shot noise limit. We also discuss the frequency dispersion of the third order correlation function and present numerical calculations for the statistics of diffusive wires in the hot electron regime.