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Abstract
Abstract Within a strong-coupling approach based on the cumulant expansion technique, we calculate the electron–phonon vertex in the two-dimensional one-band Hubbard model. The dependence of the effective electron coupling to the Holstein phonons on the on-site Coulomb interaction is investigated in different regions of the Brillouin zone. Our analysis reveals the presence of a strong forward scattering peak and an effective increase of such peak with U above a certain intermediate value. We show that this behavior can be related to the closeness to a phase separation. Comparison with other analytical and numerical approaches is also discussed.
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