P. Schlottmann, METAL-INSULATOR-TRANSITION IN AN ONE-DIMENSIONAL HUBBARD-LIKE MODEL WITH DEGENERACY AND CRYSTALLINE FIELD SPLITTING, Journal of magnetism and magnetic materials, 140, 1995, pp. 1615-1616
We consider the SU(N) generalization of Lieb and Wu's Bethe-ansatz sol
ution of the one-dimensional Hubbard model, where N is a degeneracy co
mposed of spin and orbital degrees of freedom. At T = 0 the model has
a Mott metal-insulator transition at a critical value U-c(N) for a ban
d-filling of exactly one electron per site. U-c increases with N, bein
g zero for N = 2 and U-c = 3.466 as N --> infinity. We discuss grounds
tate properties along the metal-insulator boundary for two bands(N = 4
) split by a crystal field Delta. The bands could represent to the z(2
) and x(2) - y(2) 3d-orbitals of CuO2.