Slave-Boson Three-Band Model with O-O Hopping for High-Tc Superconductors

Abstract

Slave boson mean-field approximation is carried out analytically for weakly doped CuO_2 conduction planes, characterized by Cu-O charge transfer energy Δ_{pd}, Cu-O hopping t_0, O-O hopping t&#39; and repulsion U_d between holes on Cu site taken as infinite. At zero doping δ, finite negative t&#39;,|t&#39;|<t_0/2, expands the range of stability of the covalent, conducting state on the expense of the insulating state which, however, remains stable at larger Δ_{pd}. For sufficiently large Δ_{pd} the renormalized charge transfer energy saturates at 4|t&#39;| instead of decreasing to zero, as at t&#39;=0 case. In contrast to t&#39;, finite δsuppresses the insulating state nearly symmetrically with respect to the sign of δ. The regime with charge transfer energy renormalized close to 4|t&#39;| fits remarkably well the ARPES spectra of Bi2212 and LSCO, and, in the latter case, explains the observed strong doping dependence of the Cu-O hopping.