1 research outputs found
Equation of State of an Anyon Gas in a Strong Magnetic Field
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 -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 where a gap exists. Interestingly enough, one finds
that at the critical filling where the pressure diverges, the
external magnetic field is entirely screened by the flux tubes carried by the
anyons.Comment: 14 pages, PACS numbers: 03.65.-w, 05.30.-d, 05.70.Ce, IPNO/TH 93-16
(MAY 1993), e-mail: OUVRY@FRCPN1