Ff. Assaad et M. Imada, DOPING-INDUCED METAL-INSULATOR-TRANSITION IN 2-DIMENSIONAL HUBBARD T-U AND EXTENDED HUBBARD T-U-W MODELS, Physical review. B, Condensed matter, 58(4), 1998, pp. 1845-1852
We show numerically that the nature of the doping-induced metal-insula
tor transition in the two-dimensional Hubbard model with hopping matri
x element t and Coulomb repulsion U is radically altered by the inclus
ion of a term W that depends upon a square of a single-particle neares
t-neighbor hopping. This result is reached by computing the localizati
on length xi(l), in the insulating state. At W/t = 0.05 and U/t = 4, w
e find results consistent with xi(l)similar to\mu - mu(c)\(-1/2) where
mu(c) is the critical chemical potential. In contrast, xi(l)similar t
o\mu - mu(c)\(-1/4) for the Hubbard model at U/t = 4, At half-filling,
we calculate the density of states N(omega). The large value of N(ome
ga) in the vicinity of w = mu(c) present at W = 0 is suppressed with g
rowing values of W. At finite doping, the d-wave pair-field correlatio
ns are enhanced with growing values of W. The numerical results imply
that at finite values of W doping the antiferromagnetic Mott insulator
leads to a d(x2-y2) superconductor.