Haldane exclusion statistics and second virial coefficient

Journal Article · Mon Jun 06 04:00:00 EDT 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.3629· OSTI ID:7296351

Murthy, M V.N.; Shankar, R ^[1]

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1. Institute of Mathematical Sciences, Madras 600 113 (India)

We show that Haldane's new definition of statistics, when generalized to infinite dimensional Hilbert spaces, is determined by the high temperature limit of the second virial coefficient. We thus show that this exclusion statistics parameter [ital g] of anyone is nontrivial and is completely determined by its exchange statistics parameter [alpha]. We also compute [ital g] for quasiparticles in the Luttinger model and show that it is equal to [alpha].

• OSTI ID: 7296351
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 72:23; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANYONS
BANACH SPACE
EQUATIONS
EQUATIONS OF STATE
HILBERT SPACE
MATHEMATICAL SPACE
MECHANICS
QUASI PARTICLES
SPACE
STATISTICAL MECHANICS
VIRIAL EQUATION