Phase separation and competition of superconductivity and magnetism in the two-dimensional Hubbard model: From strong to weak coupling

  title={Phase separation and competition of superconductivity and magnetism in the two-dimensional Hubbard model: From strong to weak coupling},
  author={Markus Aichhorn and Enrico Arrigoni and Michael Potthoff and Werner Hanke},
  journal={Physical Review B},
Cooperation and competition between the antiferromagnetic, $d$-wave superconducting, and Mott-insulating states are explored for the two-dimensional Hubbard model including nearest and next-nearest-neighbor hoppings at zero temperature. Using the variational cluster approach with clusters of different shapes and sizes up to 10 sites, it is found that the doping-driven transition from a phase with microscopic coexistence of antiferromagnetism and superconductivity to a purely superconducting… 

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