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

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

2006-01-17

arxiv.org/abs/cond-mat/0601374v1

Nuclear Physics B 744, 277 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

23 pages, 5 figures

Scientific paper

10.1016/j.nuclphysb.2006.03.021

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.

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