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arXiv · hep-th/9306039

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

Alain DASNIÈRES de VEIGY·St\a'ephane OUVRY
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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 $α\in[-1,0]$ where a gap exists. Interestingly enough, one finds that at the critical filling $ν=-{1/α}$ where the pressure diverges, the external magnetic field is entirely screened by the flux tubes carried by the anyons.

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Alain DASNIÈRES de VEIGY, St\a'ephane OUVRY. 1993-06-07. Equation of State of an Anyon Gas in a Strong Magnetic Field. https://doi.org/10.1103/physrevlett.72.600

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