P. Schlottmann, GROUND-STATE PROPERTIES OF THE DEGENERATE SUPERSYMMETRIC T-J MODEL WITH CRYSTALLINE FIELD SPLITTING IN ONE-DIMENSION, Journal of applied physics, 73(10), 1993, pp. 6645-6647
The one-dimensional t-J model is considered, consisting of electrons w
ith four spin-components on a lattice with nearest neighbor hopping t
constrained by the excluded multiple occupancy of the sites, exchange
J between neighboring sites and a crystal field splitting DELTA. This
model is integrable at the supersymmetric point. The exact solution is
presented via Bethe's ansatz and groundstate properties as a function
of DELTA are discussed. The model could correspond to a two-band situ
ation with one band being the z2 and the other one the x2-y2 orbitals
of Cu2+.