Phonons and d -wave pairing in the two-dimensional Hubbard model

  title={Phonons and d -wave pairing in the two-dimensional Hubbard model},
  author={Carsten Honerkamp and Henry C. Fu and Dunghai Lee},
  journal={Physical Review B},
We analyze the influence of phonons on the ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$-pairing instability in the Hubbard model on the two-dimensional square lattice at weak to moderate interaction $U$, using a functional renormalization group scheme with frequency-dependent interaction vertices. As measured by the pairing scale, the ${B}_{1g}$ buckling mode enhances the pairing, while other phonon modes decrease the pairing. When various phonon modes are included together, the net effect on the scale… Expand

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