Ml. Kulic et R. Zeyher, INFLUENCE OF STRONG ELECTRON CORRELATIONS ON THE ELECTRON-PHONON COUPLING IN HIGH-T(C) OXIDES, Physical review. B, Condensed matter, 49(6), 1994, pp. 4395-4398
Considering Hubbard models with infinite U, the leading terms of the e
lectronic self-energy due to an on-site electron-phonon interaction ar
e calculated within a 1/N expansion. In particular, the modifications
of the Eliashberg function alpha2F(omega) due to strong correlations a
re described and calculated for a simple square lattice as a function
of doping. We find that the on-site electron-phonon coupling is in gen
eral slightly enhanced in forward scattering but dramatically suppress
ed for scattering with large momentum transfers by correlations. This
implies at least in the single-band case that the electron-phonon coup
ling is greatly reduced in transport quantities and to a much smaller
degree in alpha2F because of electronic correlations.