FRACTIONAL EXCLUSION STATISTICS FOR THE T-J MODEL WITH LONG-RANGE EXCHANGE AND HOPPING

We construct thermodynamics of the one-dimensional supersymmetric +/-J model with the 1/sin(2) interaction and hopping. The thermodynamics i s described exactly in terms of free spinons and holons obeying Haldan e'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 exp licit results for the spin and charge susceptibilities and specific he at, and interpret them in terms of the fractional exclusion statistics . Extension to the multi-component +/-J model shows that the excitatio ns obey either fractional statistics for g-ons with partial polarizati on of components, or the parafermionic one without polarization.