Signatures of fractional statistics in noise experiments in quantum Hall fluids

TL;DR

This paper proposes a method to detect fractional statistics of excitations in fractional quantum Hall fluids through noise measurements in a three-terminal tunneling setup, revealing signatures of fractional charge and exclusion statistics.

Contribution

It introduces a novel experimental approach using noise in tunneling experiments to directly measure the statistical angle of FQH excitations.

Findings

Cross current noise can reveal fractional statistics.

Vortices in Laughlin states show bunching effects.

Higher Jain states exhibit anti-bunching effects.

Abstract

The elementary excitations of fractional quantum Hall (FQH) fluids are vortices with fractional statistics. Yet, this fundamental prediction has remained an open experimental challenge. Here we show that the cross current noise in a three-terminal tunneling experiment of a two dimensional electron gas in the FQH regime can be used to detect directly the statistical angle of the excitations of these topological quantum fluids. We show that the noise also reveals signatures of exclusion statistics and of fractional charge. The vortices of Laughlin states should exhibit a ``bunching'' effect, while for higher states in the Jain sequences they should exhibit an ``anti-bunching'' effect.