Semiclassical Prediction for Shot Noise in Chaotic Cavities

TL;DR

This paper presents a semiclassical approach to predict shot noise in chaotic cavities, extending beyond random-matrix theory to include few-channel scenarios relevant for experiments.

Contribution

It introduces a semiclassical method to evaluate shot noise in chaotic cavities, covering cases with few channels and symmetry class crossovers, surpassing previous random-matrix theory results.

Findings

Shot noise power has a universal form in chaotic cavities.

Semiclassical approach evaluates contributions of classical trajectory quadruplets.

Method applicable to symmetry class crossovers with magnetic fields.

Abstract

We show that in clean chaotic cavities the power of shot noise takes a universal form. Our predictions go beyond previous results from random-matrix theory, in covering the experimentally relevant case of few channels. Following a semiclassical approach we evaluate the contributions of quadruplets of classical trajectories to shot noise. Our approach can be extended to a variety of transport phenomena as illustrated for the crossover between symmetry classes in the presence of a weak magnetic field.