One-Dimensional Interacting Anyon Gas: Low-Energy Properties and Haldane Exclusion Statistics

M. T. Batchelor, X.-W. Guan, and N. Oelkers

Phys. Rev. Lett. 96, 210402 – Published 1 June 2006

Abstract

The low-energy properties of the one-dimensional anyon gas with a $δ$ -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.

Received 3 March 2006

DOI:https://doi.org/10.1103/PhysRevLett.96.210402

Authors & Affiliations

M. T. Batchelor¹, X.-W. Guan¹, and N. Oelkers²

¹Department of Theoretical Physics, Research School of Physical Sciences and Engineering, and Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, Australia
²Department of Mathematics, University of Queensland, Brisbane QLD 4072, Australia

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Vol. 96, Iss. 21 — 2 June 2006

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