Frequency dependent third cumulant of current in diffusive conductors

TL;DR

This paper calculates how the third cumulant of current in diffusive conductors varies with frequency, revealing significant dispersion effects influenced by electron-electron interactions and diffusion times.

Contribution

It introduces a detailed analysis of the frequency dependence of the third current cumulant in diffusive conductors, highlighting the impact of electron-electron scattering.

Findings

Dispersion occurs at the inverse diffusion time across the contact.

Strong electron-electron scattering enhances the frequency dependence.

Dispersion is smaller than the inverse $RC$ time in typical conditions.

Abstract

We calculate the frequency dispersion of the third cumulant of current in diffusive-metal contacts. The cumulant exhibits a dispersion at the inverse time of diffusion across the contact, which is typically much smaller than the inverse $RC$ time. This dispersion is much more pronounced in the case of strong electron-electron scattering than in the case of purely elastic scattering because of a different symmetry of the relevant second-order correlation functions.