Phonons in Hubbard ladders studied within the framework of the one-loop renormalization group (original) (raw)
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Renormalization of the electron–phonon interaction in the Hubbard model
Physica B: Condensed Matter, 2005
We calculate the electron-phonon vertex in the two-dimensional Hubbard model by a strong coupling approach based on cumulant expansion. The role of the on-site Coulomb interaction on the coupling of the electrons to the Holstein phonons is investigated in different regions of the Brillouin zone. The results reveal the presence of a strong forward scattering and an effective increase of the vertex function at low temperatures above a certain critical U. Comparison with other approaches is also discussed. r
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