Semi-classical Theory of Conductance and Noise in Open Chaotic Cavities

TL;DR

This paper develops a semi-classical framework to analyze conductance and shot noise in open chaotic cavities, revealing both universal and non-universal contributions based on classical principles.

Contribution

It introduces a semi-classical theory that accounts for geometric effects and derives universal expressions for conductance and noise in chaotic cavities.

Findings

Conductance includes a non-universal geometric term.

Universal formulas for multi-terminal conductance and noise are established.

Classical approach based on energy-dependent distribution functions is validated.

Abstract

Conductance and shot noise of an open cavity with diffusive boundary scattering are calculated within the Boltzmann-Langevin approach. In particular, conductance contains a non-universal geometric contribution, originating from the presence of open contacts. Subsequently, universal expressions for multi-terminal conductance and noise valid for all chaotic cavities are obtained classically basing on the fact that the distribution function in the cavity depends only on energy and using the principle of minimal correlations.