Fractional Exclusion Statistics for the Multicomponent Sutherland Model

Abstract

We show by microscopic calculation that thermodynamics of the multicomponent Sutherland model is equivalent to that of a free particle system with fractional exclusion statistics at all temperatures. The parameters for exclusion statistics are given by the strength of the repulsive interaction, and have both intra- and inter-species components. We also show that low temperature properties of the system are described in terms of free fractional particles without the statistical parameters for different species. The effective exclusion statistics for intra-species at low temperatures depend on polarization of the system.

13 pages, using RevTex, 5 figures on request

References in corpus (7)

• Exchange Operator Formalism for Integrable Systems of Particles
• Thermodynamics of an one-dimensional ideal gas with fractional exclusion statistics
• Solution of Some Integrable One-Dimensional Quantum Systems
• Haldane exclusion statistics and second virial coefficient
• Exact Solution of the Sutherland Model with arbitrary symmetry
• Haldane's Fractional Exclusion Statistics for Multicomponent Systems
• Spin-Charge Separation at Finite Temperature in the Supersymmetric t-J Model with Long-Range Interactions

Cited by in corpus (5)

• Elementary Excitations and Dynamical Correlation Functions of the Calogero-Sutherland Model with Internal Symmetry
• Nonlinear dynamics of spin and charge in spin-Calogero model
• Characters for ${\widehat{sl(n)}}_{k=1}$ from a novel Thermodynamic Bethe Ansatz
• Green Function of the Sutherland Model with SU(2) internal symmetry
• Spin-$S$ generalization of fractional exclusion statistics