Statistical Mechanics of an Ideal Gas of Non-Abelian Anyons

TL;DR

This paper investigates the thermodynamics of an ideal gas of non-Abelian Chern-Simons particles, focusing on the second virial coefficient and boundary conditions, revealing relations similar to 2D Bose and Fermi gases.

Contribution

It provides new analytical expressions for thermodynamic quantities considering soft-core boundary conditions in non-Abelian anyon gases.

Findings

Second virial coefficient depends on coupling, isospin, and boundary parameters.

Relation between internal energy and pressure matches 2D Bose and Fermi gases.

Comparison with existing literature highlights differences for hard-core non-Abelian anyons.

Abstract

We study the thermodynamical properties of an ideal gas of non-Abelian Chern-Simons particles and we compute the second virial coefficient, considering the effect of general soft-core boundary conditions for the two-body wavefunction at zero distance. The behaviour of the second virial coefficient is studied as a function of the Chern-Simons coupling, the isospin quantum number and the hard-coreness parameters. Expressions for the main thermodynamical quantities at the lower order of the virial expansion are also obtained: we find that at this order the relation between the internal energy and the pressure is the same found (exactly) for 2D Bose and Fermi ideal gases. A discussion of the comparison of obtained findings with available results in literature for systems of hard-core non-Abelian Chern-Simons particles is also supplied.