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

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

1993-06-07

arxiv.org/abs/hep-th/9306039v1

Phys.Rev.Lett. 72 (1994) 600-603

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevLett.72.600

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.

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