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There is now experimental and theoretical evidence of the relevance of the electron - phonon interactions (EPI) in the high temperature superconductivity (HTSC). The current goal is to determine the extent of this relevance and there is already a growing literature for this study. In the current study, we discuss a controllable theory of strong EPI in strongly correlated systems based on 1/N expansion of the t-J model using Hubbard operators. By considering all possible contributions from EPI (ionic and covalent), we obtain a new feature in the self-energy which is hoped to account for role of EPI in strongly correlated systems including the HTSC and heavy fermions |
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