Frequency-dependent vertex functions of the (t,t) Hubbard model at weak coupling

C. Husemann, K.-U. Giering, and M. Salmhofer
Phys. Rev. B 85, 075121 – Published 21 February 2012

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 dependencies we find higher pseudocritical 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 parametrizations 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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  • Received 29 November 2011

DOI:https://doi.org/10.1103/PhysRevB.85.075121

©2012 American Physical Society

Authors & Affiliations

C. Husemann1, K.-U. Giering2, and M. Salmhofer2

  • 1Max Planck Institute for Solid State Research, DE-70569 Stuttgart, Germany
  • 2Institute for Theoretical Physics, Universität Heidelberg, DE-69120 Heidelberg, Germany

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Issue

Vol. 85, Iss. 7 — 15 February 2012

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