Incommensurate antiferromagnetic fluctuations in the two-dimensional Hubbard model

Abstract

Commensurate and incommensurate antiferromagnetic fluctuations in the two-dimensional repulsive t-t'-Hubbard model are investigated using functional renormalization group equations. For a sufficient deviation from half filling we establish the existence of local incommensurate order below a pseudocritical temperature T_{pc}. Fluctuations not accounted for in the mean field approximation are important--they lower T_{pc} by a factor \approx2.5.

7 pages, 8 figures, some changes due to referees' comments, equivalent to published version

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• Four-point vertex in the Hubbard model and partial bosonization
• Partial bosonisation for the two-dimensional Hubbard model: How well does it work?
• Sarma phase in relativistic and non-relativistic systems
• Functional renormalization group for commensurate antiferromagnets: Beyond the mean-field picture
• The quantum critical behavior of antiferromagnetic itinerant systems with van Hove singularities of electronic spectrum
• Renormalization group flow for fermions into antiferromagnetically ordered phases: Method and mean-field models
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory