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Antiferromagnetism and $d$-wave superconductivity are the most importantcompeting ground-state phases of cuprate superconductors. Using cellulardynamical mean-field theory (CDMFT) for the Hubbard model, we revisit thequestion of the coexistence and competition of these phases in the one-bandHubbard model with realistic band parameters and interaction strengths. With anexact diagonalization solver, we improve on previous works with a more completebath parametrization which is carefully chosen to grant the maximal possiblefreedom to the hybridization function for a given number of bath orbitals.Compared with previous incomplete parametrizations, this general bathparametrization shows that the range of microscopic coexistence ofsuperconductivity and antiferromagnetism is reduced for band parameters forNCCO, and confined to electron-doping with parameters relevant for YBCO.

Coexistence of Superconductivity and Antiferromagnetism in the Hubbard model for cuprates