Equation of state of an anyon gas in a strong magnetic field

Journal Article · Mon Jan 31 04:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.600· OSTI ID:5213790

Dasnieres de Veigy, A; Ouvry, S ^[1]

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1. Division de Physique Theorique, Institut de Physique Nucleaire, 91406 Orsay (France)

The statistical mechanics of an anyon gas in a magnetic field is addressed. A harmonic regulator is used to define a proper thermodynamic limit. When the magnetic field is sufficiently strong, only exact [ital N]-anyon ground states, 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][element of][[minus]1,0] where a gap exists. Interestingly enough, one finds that at the critical filling [nu]=[minus]1/[alpha] where the pressure diverges, the external magnetic field is entirely screened by the flux tubes carried by the anyons.

• OSTI ID: 5213790
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 72:5; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANYONS
BOSE-EINSTEIN GAS
ENERGY LEVELS
EQUATIONS
EQUATIONS OF STATE
GROUND STATES
MAGNETIC FIELDS
QUASI PARTICLES