Effective electron-electron and electron-phonon interactions in the Hubbard-Holstein model

Abstract

We investigate the interplay between the electron-electron and the electron-phonon interaction in the Hubbard-Holstein model. We implement the flow-equation method to investigate within this model the effect of correlation on the electron-phonon effective coupling and, conversely, the effect of phonons in the effective electron-electron interaction. Using this technique we obtain analytical momentum-dependent expressions for the effective couplings and we study their behavior for different physical regimes. In agreement with other works on this subject, we find that the electron-electron attraction mediated by phonons in the presence of Hubbard repulsion is peaked at low transferred momenta. The role of the characteristic energies involved is also analyzed.

23 pages, 5 figures

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Cited by in corpus (5)

• Efficient DMFT-simulation of the Holstein-Hubbard Model
• Electron-phonon interaction in Strongly Correlated Systems
• Intertwined fluctuations and isotope effects in the Hubbard-Holstein model on the square lattice from functional renormalization
• On the Geodesic Nature of Wegner's Flow
• Enhanced pairing mechanism in Cuprate-type crystals