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

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

2011-11-29

arxiv.org/abs/1111.6802v1

Phys. Rev. B 85, 075121 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

37 pages, 11 figures

Scientific paper

10.1103/PhysRevB.85.075121

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.

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