SPIN-CHARGE SEPARATION AT FINITE-TEMPERATURE IN THE SUPERSYMMETRIC T-J MODEL WITH LONG-RANGE INTERACTIONS

Thermodynamics is derived rigorously for the 1D supersymmetric t-J mod el and its SU(K, 1) generalization with inverse-square exchange. The s ystem at low temperature is described in terms of spinons, antispinons , holons and antiholons obeying fractional statistics. They are all fr ee and render the spin susceptibility independent of electron density, and the charge susceptibility independent of magnetization. Thermal s pin excitations responsible for the entropy of the SU(K, 1) model are ascribed to free para-fermions of order K-1.