Shot Noise in Anyonic Mach-Zehnder Interferometer

TL;DR

This paper demonstrates how shot noise measurements in a fractional quantum Hall Mach-Zehnder interferometer can distinguish between Abelian and non-Abelian quasiparticle statistics by analyzing the Fano factor's behavior relative to magnetic flux.

Contribution

It introduces a method to identify quasiparticle statistics in quantum Hall systems through flux-dependent shot noise analysis.

Findings

Fano factor below one indicates Abelian statistics.

Fano factor exceeding one indicates non-Abelian statistics.

Flux dependence reveals quasiparticle nature.

Abstract

We show how shot noise in an electronic Mach-Zehnder interferometer in the fractional quantum Hall regime probes the charge and statistics of quantum Hall quasiparticles. The dependence of the noise on the magnetic flux through the interferometer allows for a simple way to distinguish Abelian from non-Abelian quasiparticle statistics. In the Abelian case, the Fano factor (in units of the electron charge) is always lower than unity. In the non-Abelian case, the maximal Fano factor as a function of the magnetic flux exceeds one.