Equation of State of an Anyon Gas in a Strong Magnetic Field

TL;DR

This paper investigates the thermodynamic properties of an anyon gas in a strong magnetic field, focusing on the groundstate contributions and the effects of flux tube screening at critical filling factors.

Contribution

It provides an exact analysis of the equation of state for an anyon gas in strong magnetic fields, emphasizing the role of lowest Landau level states and flux tube screening effects.

Findings

Pressure diverges at critical filling =-1/

External magnetic field is fully screened at this critical point

Groundstate contributions dominate in strong magnetic fields

Abstract

The statistical mechanics of an anyon gas in a magnetic field is addressed. An harmonic regulator is used to define a proper thermodynamic limit. When the magnetic field is sufficiently strong, only exact $N$-anyon groundstates, where anyons occupy the lowest Landau level, contribute to the equation of state. Particular attention is paid to the interval of definition of the statistical parameter $\alpha\in[-1,0]$ where a gap exists. Interestingly enough, one finds that at the critical filling $\nu=-{1/\alpha}$ where the pressure diverges, the external magnetic field is entirely screened by the flux tubes carried by the anyons.