Simple predictors of $T_c$ in superconducting cuprates and the role of interactions between effective Wannier orbitals in the $d-p$ 3-band model

Abstract

At optimal doping, different cuprate compounds can exhibit vastly different critical temperatures for superconductivity ($T_c$), ranging from about 20 K to about 135 K. The precise properties of the lattice that determine the magnitude of the $T_c$ are currently unknown. In this paper, we investigate the dependence of the optimal doping $T_c$ on the parameters of the Emery ($d-p$) model for the CuO${}_2$ 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 4-point interactions. We identify multiple predictor variables that fit the experimental $T_c$ to about $\pm 4-5$ K and that remarkably depend on the leading attractive coupling constants in the transformed Hamiltonian.

6 pages, 2 figures + supp. mat. 15 pages, 10 figures

References in corpus (12)

• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• On the Electron Pairing Mechanism of Copper-Oxide High Temperature Superconductivity
• Phonon-Mediated Long-Range Attractive Interaction in One-Dimensional Cuprates
• Combined density-functional and dynamical cluster quantum Monte Carlo calculations for three-band Hubbard models for hole-doped cuprate superconductors
• High-temperature superconductivity in hydrides
• Enhancement of the superconducting critical temperature in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ by controlling disorder outside CuO${}_2$ planes
• Machine-Learning-Guided Prediction Models of Critical Temperature of Cuprates
• Density-matrix-renormalization-group-based downfolding of the three-band Hubbard model: the importance of density-assisted hopping
• Conditions for magnetically induced singlet d-wave superconductivity on the square lattice
• Combining electronic structure and many-body theory with large data-bases: a method for predicting the nature of 4f states in Ce compounds

Cited by in corpus (2)

• Ab initio quantum many-body description of superconducting trends in the cuprates
• Real-space d-wave superconductivity from weak attraction