Frequency Dependent Vertex Functions of the (t,t')-Hubbard Model at Weak Coupling

Abstract

We present a functional renormalization group calculation for the two-dimensional (t,t')-Hubbard model at Van Hove filling. Using a channel decomposition we describe the momentum and frequency dependence of the vertex function in the normal phase. Compared to previous studies that neglect frequency dependences we find higher pseudo-critical scales and a smaller region of d-wave superconductivity. A large contribution to the effective interaction is given by a forward scattering process with finite frequency exchange. We test different frequency parameterizations and in a second calculation include the frequency dependence of the imaginary self-energy. We also generalize the channel decomposition to frequency-dependent fermion-boson vertex functions.

37 pages, 11 figures

References in corpus (8)

• High-temperature superconductivity in iron-based materials
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• A finite-frequency functional RG approach to the single impurity Anderson model
• Interaction flow method for many-fermion systems
• Pseudogap at hot spots in the two-dimensional Hubbard model at weak coupling
• Functional renormalization group approach to the Anderson impurity model
• Determinant Bounds and the Matsubara UV Problem of Many-Fermion Systems
• Singular Fermi Surfaces II. The Two--Dimensional Case

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