Coexistence of Superconductivity and Antiferromagnetism in the Hubbard model for cuprates

Abstract

Antiferromagnetism and $d$-wave superconductivity are the most important competing ground-state phases of cuprate superconductors. Using cellular dynamical mean-field theory (CDMFT) for the Hubbard model, we revisit the question of the coexistence and competition of these phases in the one-band Hubbard model with realistic band parameters and interaction strengths. With an exact diagonalization solver, we improve on previous works with a more complete bath parametrization which is carefully chosen to grant the maximal possible freedom to the hybridization function for a given number of bath orbitals. Compared with previous incomplete parametrizations, this general bath parametrization shows that the range of microscopic coexistence of superconductivity and antiferromagnetism is reduced for band parameters for NCCO, and confined to electron-doping with parameters relevant for YBCO.

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• Doping phase diagram of a Hubbard model for twisted bilayer cuprates
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• Exactly solvable model of strongly correlated $d$-wave superconductivity
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• Spin texture in a bilayer high-temperature cuprate superconductor
• Charge- and pair-density-wave orders in the one-band Hubbard model with dynamical mean field theory
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• Fermi arcs vs hole pockets: periodization of a cellular two-band model
• Oxygen hole content, charge-transfer gap, covalency, and cuprate superconductivity
• Unfrustrating the t-J Model: d-wave BCS Superconductivity in the $t^{\prime }$-$J_z$-$V$ Model
• High Harmonic Generation in Two-Dimensional Mott Insulators