Thermodynamics of an Anyon System

TL;DR

This paper investigates the thermodynamic properties of a relativistic anyon system coupled to a Chern-Simons gauge field, providing detailed calculations of free energy, particle density, interference effects, and correlation functions.

Contribution

It introduces a detailed analysis of the thermal behavior of a relativistic anyon system with explicit calculations of thermodynamic quantities and correlation functions, advancing understanding of anyon thermodynamics.

Findings

Particle density dependence on anyon statistics

Interference effects in ideal gas of anyons

Correlation functions revealing physical features

Abstract

We examine the thermal behavior of a relativistic anyon system, dynamically realized by coupling a charged massive spin-1 field to a Chern-Simons gauge field. We calculate the free energy (to the next leading order), from which all thermodynamic quantities can be determined. As examples, the dependence of particle density on the anyon statistics and the anyon anti-anyon interference in the ideal gas are exhibited. We also calculate two and three-point correlation functions, and uncover certain physical features of the system in thermal equilibrium.