Effect of Disorder on Several Properties of the One-Band Hubbard Model in 2D

Abstract

In this work, we continue the study of the Hubbard model with infinite U that has been reported previously [1, 2]. Ground state quantum numbers, momentum distribution, magnetic structure factor, overlap of the exact wavefunction with the Gutzwiller wavefunction and, several electronic correlations have been obtained for a 4 × 4 cluster of the square lattice. In particular, the possible existence of a phase transition from a perturbative region where the overlap between the non-interacting Fermi sea and the correlated wavefunction is large to a non perturbative region where this overlap is negligible, has been carefully examined. Although non conclusive due to the size limitations, we have shown that the momentum distribution for a small density of holes closely resembles that of spinless fermions.