Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-11-06
Phys. Rev. B 75, 075110 (2007) (13 pages)
Physics
Condensed Matter
Strongly Correlated Electrons
28 pages, 14 figures
Scientific paper
10.1103/PhysRevB.75.075110
We analyze the competition between antiferromagnetism and superconductivity in the two-dimensional Hubbard model by combining a functional renormalization group flow with a mean-field theory for spontaneous symmetry breaking. Effective interactions are computed by integrating out states above a scale Lambda_{MF} in one-loop approximation, which captures in particular the generation of an attraction in the d-wave Cooper channel from fluctuations in the particle-hole channel. These effective interactions are then used as an input for a mean-field treatment of the remaining low-energy states, with antiferromagnetism, singlet superconductivity and triplet pi-pairing as the possible order parameters. Antiferromagnetism and superconductivity suppress each other, leaving only a small region in parameter space where both orders can coexist with a sizable order parameter for each. Triplet pi-pairing appears generically in the coexistence region, but its feedback on the other order parameters is very small.
Metzner Walter
Reiss J.
Rohe Daniela
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