On the virial coefficients of nonabelian anyons

TL;DR

This paper demonstrates that the virial coefficients of nonabelian anyons in the lowest Landau level are independent of their statistics parameter, due to the traceless nature of their effective statistical interaction, across all group representations.

Contribution

It provides a general proof that virial coefficients for nonabelian anyons are unaffected by their statistics parameter, regardless of the group representation.

Findings

Virial coefficients are independent of the statistics parameter.

The result holds for all nonabelian group representations.

The proof relies on the traceless property of the effective statistical operator.

Abstract

We study a system of nonabelian anyons in the lowest Landau level of a strong magnetic field. Using diagrammatic techniques, we prove that the virial coefficients do not depend on the statistics parameter. This is true for all representations of all nonabelian groups for the statistics of the particles and relies solely on the fact that the effective statistical interaction is a traceless operator.