Renormalized mean-field analysis of antiferromagnetism and d-wave superconductivity in the two-dimensional Hubbard model

Abstract

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.

28 pages, 14 figures

References in corpus (2)

• Competition between d-wave superconductivity and antiferromagnetism in the 2D Hubbard model
• Interaction flow method for many-fermion systems

Cited by in corpus (4)

• Phase separation and competition of superconductivity and magnetism in the two-dimensional Hubbard model: From strong to weak coupling
• Superconductivity in the attractive Hubbard model: functional renormalization group analysis
• Conditions for magnetically induced singlet d-wave superconductivity on the square lattice
• Generation of d-wave coupling in the two-dimensional Hubbard model from functional renormalization