Simple predictors of Tc in superconducting cuprates and the role of interactions between effective Wannier orbitals in the d−p three-band model

At optimal doping, different cuprate compounds can exhibit vastly different critical temperatures for superconductivity (T₂), ranging from about 20 to about 135 K. The precise properties of the lattice that determine the magnitude of the T₂ are currently unknown. In this paper, we investigate the dependence of the optimal doping T₂ on the parameters of the Emery (d-p) model for the CuO₂ planes in the cuprates. We show that the best scaling is obtained not with the parameters of the model written in the real (d/p-orbital) space but rather written in the space of effective Wannier orbitals. In this basis, one obtains a model of three sublattices coupled through all possible four-point interactions. We identify multiple predictor variables that fit the experimental T₂ to about 4--50. 16em{0ex}K and that remarkably depend on the leading attractive coupling constants in the transformed Hamiltonian.