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

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

2006-03-24

arxiv.org/abs/cond-mat/0603643v3

Phys. Rev. Lett. 96, 210402 (2006)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, minor corrections, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.96.210402

The low energy properties of the one-dimensional anyon gas with $\delta$-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.

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