Generalized exclusion statistics and degenerate signature of strongly interacting anyons

Details Generalized exclusion statistics and degenerate signature of strongly interacting anyons Generalized exclusion statistics and degenerate signature of strongly interacting anyons

2006-06-14

arxiv.org/abs/cond-mat/0606353v2

Phys. Rev. B 74 (2006) 195121

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures, expanded version

Scientific paper

10.1103/PhysRevB.74.195121

We show that below the degenerate temperature the distribution profiles of strongly interacting anyons in one dimension coincide with the most probable distributions of ideal particles obeying generalized exclusion statistics (GES). In the strongly interacting regime the thermodynamics and the local two-particle correlation function derived from the GES are seen to agree for low temperatures with the results derived for the anyon model using the thermodynamic Bethe Ansatz. The anyonic and dynamical interactions implement a continuous range of GES, providing a signature of strongly interacting anyons, including the strongly interacting one-dimensional Bose gas.

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