Equation of State of an Anyon Gas in a Strong Magnetic Field
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 α∈[-1,0] where a gap exists. Interestingly enough, one finds that at the critical filling =-1/α where the pressure diverges, the external magnetic field is entirely screened by the flux tubes carried by the anyons.
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