Abstract
The interplay between electron-phonon interaction and strong electronic correlation is analyzed by means of Dynamical Mean Field Theory. Suppressing all antiferromagnetic correlations, the electron-phonon interaction is found to be strongly suppressed by Coulomb repulsion. In particular, close to the Mott transition at half-filling the electron-phonon interaction has very little effect on quasiparticles: In fact it is possible to describe the low-energy physics in terms of an effective Hubbard model with a slightly renormalized repulsive coupling. The situation changes completely if antiferromagnetic correlations are included: Electron-phonon interaction has a strong effect on the electronic self-energy even for large values of the Coulomb repulsion. Phonon-induced modifications of electronic properties like, e.g. photoemission spectra, are therefore expected to be more pronounced in underdoped cuprates where antiferromagnetic correlations are stronger than in overdoped.
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