Effect of Dephasing on Charge-Counting Statistics in Chaotic Cavities

TL;DR

This paper investigates how dephasing influences charge transfer statistics in chaotic cavities, revealing that higher-order cumulants are affected by dephasing while shot noise remains unaffected.

Contribution

It demonstrates that higher cumulants of charge transfer depend on dephasing, contrasting with the insensitivity of shot noise, using both semiclassical and quantum models.

Findings

Fourth and higher cumulants depend on dephasing.

Shot noise remains insensitive to dephasing.

Quantum and semiclassical models show different results with strong dephasing.

Abstract

We calculate the cumulants of the charge transmitted through a chaotic cavity in the limit that the two openings have a large number of scattering channels. The shot noise, which is the second cumulant, is known to be insensitive to dephasing in this limit. Unexpectedly, the fourth and higher cumulants are found to depend on dephasing: A semiclassical theory and a quantum mechanical model with strong dephasing give a different result than a fully phase-coherent quantum mechanical theory.