Magnetic and superconducting correlations in the two-dimensional Hubbard model

Abstract

The interplay and competition of magnetic and superconducting correlations in the weakly interacting two-dimensional Hubbard Model is investigated by means of the functional renormalization group. At zero temperature the flow of interactions in one-loop approximation evolves into a strong coupling regime at low energy scales, signalling the possible onset of spontaneous symmetry breaking. This is further analyzed by a mean-field treatment of the strong renormalized interactions which takes into account magnetic and superconducting order simultaneously. The effect of strong correlations on single-particle properties in the normal phase is studied by calculating the flow of the self-energy.

arXiv comment16 pages, 10 figures

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• Functional renormalization for spontaneous symmetry breaking in the Hubbard model
• Renormalized mean-field analysis of antiferromagnetism and d-wave superconductivity in the two-dimensional Hubbard model
• Four-point vertex in the Hubbard model and partial bosonization
• Fermi Liquid instabilities in two-dimensional lattice models
• Generation of d-wave coupling in the two-dimensional Hubbard model from functional renormalization
• Partial bosonisation for the two-dimensional Hubbard model: How well does it work?
• Magnetic fluctuations and self--energy effects in two--dimensional itinerant systems with van Hove singularity of electronic spectrum
• Fermionic functional renormalization group for first-order phase transitions: a mean-field model
• Two-loop renormalization-group theory for the quasi-one-dimensional Hubbard model at half filling
• The quantum critical behavior of antiferromagnetic itinerant systems with van Hove singularities of electronic spectrum
• Ferromagnetic instability in itinerant fcc lattice electron systems with higher order van Hove singularities: Functional renormalization group study