Current Correlations from a Mesoscopic Anyon Collider

TL;DR

This paper investigates current correlations in a mesoscopic anyon collider, revealing negative correlations as signatures of fractional exchange statistics, bridging the understanding between fermions, bosons, and anyons.

Contribution

It introduces a mesoscopic setup for colliding anyons and relates current fluctuation correlations to their unique spatial exclusion properties.

Findings

Fermion correlations vanish in the setup.

Anyons exhibit negative correlations indicating reduced spatial exclusion.

Results provide experimental signatures for fractional exchange statistics.

Abstract

Fermions and bosons are fundamental realizations of exchange statistics, which governs the probability for two particles being close to each other spatially. Anyons in the fractional quantum Hall effect are an example for exchange statistics intermediate between bosons and fermions. We analyze a mesoscopic setup in which two dilute beams of anyons collide with each other, and relate the correlations of current fluctuations to the probability of particles excluding each other spatially. While current correlations for fermions vanish, negative correlations for anyons are a clear signature of a reduced spatial exclusion as compared to fermions.