Simple predictors of $T_c$ in superconducting cuprates reveal role of interactions between effective Wannier orbitals in the $d-p$ 3-band model - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review B Année : 2024

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

Résumé

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 $\pm4$ K and that depend on the coupling constants in the transformed Hamiltonian.

Dates et versions

hal-04244023 , version 1 (16-10-2023)

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Jakša Vučičević, Michel Ferrero. Simple predictors of $T_c$ in superconducting cuprates reveal role of interactions between effective Wannier orbitals in the $d-p$ 3-band model. Physical Review B, 2024, 109 (8), pp.L081115. ⟨10.1103/PhysRevB.109.L081115⟩. ⟨hal-04244023⟩
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