One-dimensional interacting anyon gas: Low-energy properties and haldane exclusion statistics

Batchelor, M. T., Guan, X. W. and Oelkers, N. (2006) One-dimensional interacting anyon gas: Low-energy properties and haldane exclusion statistics. Physical Review Letters, 96 21: 210402-210402. doi:10.1103/PhysRevLett.96.210402

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Author Batchelor, M. T.
Guan, X. W.
Oelkers, N.
Title One-dimensional interacting anyon gas: Low-energy properties and haldane exclusion statistics
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 0031-9007
Publication date 2006
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.96.210402
Open Access Status File (Publisher version)
Volume 96
Issue 21
Start page 210402
End page 210402
Total pages 4
Editor George Basbas
Jack Sandweiss
Reinhardt B Schuhmann
Stanley G Brown
Place of publication College Pk
Publisher American Physical Soc
Collection year 2006
Language eng
Subject C1
230199 Mathematics not elsewhere classified
240201 Theoretical Physics
780101 Mathematical sciences
780102 Physical sciences
Abstract The low-energy properties of the one-dimensional anyon gas with a delta-function interaction are discussed in the context of its Bethe ansatz solution. It is found that the anyonic statistical parameter and the dynamical coupling constant induce Haldane exclusion statistics interpolating between bosons and fermions. Moreover, the anyonic parameter may trigger statistics beyond Fermi statistics for which the exclusion parameter alpha is greater than one. The Tonks-Girardeau and the weak coupling limits are discussed in detail. The results support the universal role of alpha in the dispersion relations.
Keyword Physics, Multidisciplinary
Tonks-girardeau Gas
Fractional-statistics
Ideal-gas
Bose-gas
Particles
Thermodynamics
Mechanics
Model
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2007 Higher Education Research Data Collection
School of Physical Sciences Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 58 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 15 Aug 2007, 09:01:03 EST