Fractional Exclusion Statistics for the t-J Model

Details Fractional Exclusion Statistics for the t-J Model Fractional Exclusion Statistics for the t-J Model

1996-01-27

arxiv.org/abs/cond-mat/9601132v1

Physics

Condensed Matter

27 pages, using jpsj.sty, 9 figures on request

Scientific paper

We construct thermodynamics of the one-dimensional supersymmetric {\it t-J} model with the $ 1/\sin^2$ interaction and hopping. The thermodynamics is described exactly in terms of free spinons and holons obeying Haldane's fractional exclusion statistics at all temperatures. Moreover, at low temperatures the semionic spinons and holons decouple resulting in the spin-charge separation in thermodynamic properties. We obtain explicit results for the spin and charge susceptibilities and specific heat, and interpret them in terms of the fractional exclusion statistics. Extension to the multi-component {\it t-J} model shows that the excitations obey either fractional statistics for g-ons with partial polarization of components, or the parafermionic one without polarization.

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