Antiferromagnetic, charge-transfer, and pairing correlations in the three-band Hubbard model.

Abstract

The ${\mathrm{CuO}}_{2}$ sheets common to the superconducting cuprates are believed to be characterized by a charge-transfer gap in their insulating antiferromagnetic state. The three-band Hubbard model with an on-site Cu Coulomb interaction ${\mathit{U}}_{\mathit{d}}$, which is large compared to the difference in energy \ensuremath{\varepsilon} between the O and Cu sites, provides a basic model for such a system. We have carried out Lanczos and Monte Carlo studies of a ${\mathrm{CuO}}_{2}$ lattice described by a three-band Hubbard model. For ${\mathit{U}}_{\mathit{d}}$ large compared with \ensuremath{\varepsilon}, and \ensuremath{\varepsilon} comparable to or larger than the bandwidth of the lower hole band, we find strong antiferromagnetic correlations and evidence for a charge-transfer gap at a filling of one hole per Cu. The antiferromagnetic correlations decrease with either hole or electron doping, and we see that the additional holes go primarily on the O sites, while additional electrons go onto the Cu sites. For large values of the intersite Cu-O Coulomb interaction V, the hole-doped system exhibits a charge-transfer instability. As V is reduced, this is reflected as a peak in the charge-transfer susceptibility near \ensuremath{\varepsilon}+2V\ensuremath{\approxeq}${\mathit{U}}_{\mathit{d}}$, which we find is washed out by the strong Cu-O hybridization at realistic values of V. Attractive pairing interactions are found in both the d-wave and extended ${\mathit{s}}^{\mathrm{*}}$-wave channels near the antiferromagnetic boundary.