Fractional Exclusion Statistics and Anyons

TL;DR

This paper demonstrates that anyons, modeled via Chern-Simons theory, obey fractional exclusion statistics when their statistical interactions are properly considered, linking exchange and exclusion statistics.

Contribution

It establishes the equivalence of exchange and exclusion statistical parameters for anyons within a field-theoretic framework, including perturbative and virial coefficient analyses.

Findings

Anyons obey fractional exclusion statistics when interactions are included.

Exchange and exclusion statistical parameters are shown to be equal.

Results are consistent across perturbative and virial coefficient methods.

Abstract

Do anyons, dynamically realized by the field theoretic Chern-Simons construction, obey fractional exclusion statistics? We find that they do if the statistical interaction between anyons and anti-anyons is taken into account. For this anyon model, we show perturbatively that the exchange statistical parameter of anyons is equal to the exclusion statistical parameter. We obtain the same result by applying the relation between the exclusion statistical parameter and the second virial coefficient in the non-relativistic limit.