Full counting statistics of chaotic cavities with many open channels

TL;DR

This paper derives explicit formulas for all moments and cumulants of electric current in quantum chaotic cavities with many open channels, using random matrix theory, and explores non-linear statistics for arbitrary channel numbers.

Contribution

It provides the first comprehensive full counting statistics for chaotic cavities with many open channels, including explicit formulas for all moments and cumulants.

Findings

Explicit formulas for all moments and cumulants of current

Validation of approach in the many-channel limit

Third cumulant and non-linear statistics example

Abstract

Explicit formulas are obtained for all moments and for all cumulants of the electric current through a quantum chaotic cavity attached to two ideal leads, thus providing the full counting statistics for this type of system. The approach is based on random matrix theory, and is valid in the limit when both leads have many open channels. For an arbitrary number of open channels we present the third cumulant and an example of non-linear statistics.