Shot noise in chaotic cavities with an arbitrary number of open channels

TL;DR

This paper analytically derives the average shot-noise power in chaotic cavities with any number of open channels using random matrix theory, revealing relationships with conductance and its variance.

Contribution

It provides a new analytical framework for calculating shot noise in chaotic cavities with arbitrary channel numbers, linking shot noise, conductance, and conductance variance.

Findings

Derived an explicit formula for shot-noise power in chaotic cavities.

Established a simple relationship between shot noise, conductance, and conductance variance.

Analyzed how the Fano factor varies with the number of channels.

Abstract

Using the random matrix approach, we calculate analytically the average shot-noise power in a chaotic cavity at an arbitrary number of propagating modes (channels) in each of the two attached leads. A simple relationship between this quantity, the average conductance and the conductance variance is found. The dependence of the Fano factor on the channel number is considered in detail.