Y. Kuramoto et Y. Kato, SPIN-CHARGE SEPARATION AND FRACTIONAL STATISTICS IN THE SUPERSYMMETRIC T-J MODEL AT FINITE TEMPERATURES, Journal of the Korean Physical Society, 29, 1996, pp. 57-62
Exact thermodynamics for the one-dimensional supersymmetric t-J model
with inverse-square exchange is given in terms of free spinons and hol
ons both of which obey fractional exclusion statistics with mutual sta
tistical parameters. It is shown that spinons and holons span the comp
lete Hilbert space of hard-core fermions, and that they are free for a
ll temperatures. The strong spin-charge separation appears in that the
spin susceptibility is independent of the electron density, and that
the charge susceptibility is independent of magnetization at low tempe
ratures. Thermal spin excitations of the SU(K,1) generalized model are
identified as free parafermions of order K.