The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics

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dc.creatorBatchelor, M. T.
dc.creatorGuan, X. -W.
dc.creatorOelkers, N.
dc.date2006-03-24
dc.date2006-05-26
dc.date.accessioned2026-07-07T07:04:55Z
dc.date.available2026-07-07T07:04:55Z
dc.descriptionThe low energy properties of the one-dimensional anyon gas with $δ$-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 $α$ is greater than one. The Tonks-Girardeau and the weak coupling limits are discussed in detail. The results support the universal role of $α$ in the dispersion relations.
dc.description4 pages, 2 figures, minor corrections, to appear in Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/cond-mat/0603643
dc.identifierhttp://arxiv.org/abs/cond-mat/0603643
dc.identifierPhys. Rev. Lett. 96, 210402 (2006)
dc.identifierdoi:10.1103/PhysRevLett.96.210402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109502
dc.subjectStatistical Mechanics
dc.titleThe 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
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