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 $\alpha \in [-1,0]$ 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.

14 pages, PACS numbers: 03.65.-w, 05.30.-d, 05.70.Ce, IPNO/TH 93-16 (MAY 1993), e-mail: OUVRY@FRCPN11

References in corpus (3)

• Topological 2-Dimensional Quantum Mechanics
• On the Harmonic Oscillator Regularization of Partition Functions
• Semi-Classical Quantization of the Many-Anyon System

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