Switching noise as a probe of statistics in the fractional quantum Hall effect

TL;DR

This paper proposes an experiment using current noise measurements in a Hall bar with quantum point contacts to investigate the quantum statistics of quasi-particles in fractional quantum Hall states, including abelian and non-abelian cases.

Contribution

It introduces a novel experimental approach to probe the quantum statistics of quasi-particles via noise analysis in fractional quantum Hall systems.

Findings

Thermal fluctuations induce current noise reflecting quasi-particle statistics.

The method applies to both abelian and non-abelian fractional quantum Hall states.

Provides a new tool for understanding exotic quantum statistics in condensed matter.

Abstract

We propose an experiment to probe the unconventional quantum statistics of quasi-particles in fractional quantum Hall states by measurement of current noise. The geometry we consider is that of a Hall bar where two quantum point contacts introduce two interfering amplitudes for back-scattering. Thermal fluctuations of the number of quasi-particles enclosed between the two point contacts introduce current noise, which reflects the statistics of the quasi-particles. We analyze abelian $\nu=1/q$ states and the non-abelian $\nu=5/2$ state.