Abstract
The Eliashberg equations for singlet pairing are derived taking into account the many-electron renormalization of one-particle Green functions in the normal state of a highly correlated system. The electron-phonon and exciton superconductivity mechanisms, and influence of magnetic impurities on T c are investigated. It is demonstrated that the “usual” superconductivity mechanisms are not influenced by correlation effects, if the Fermi-liquid picture holds, but they are strongly suppressed in the “marginal” Fermi-liquid. In the Mott-Hubbard systems with a strong electron damping at E F, described by Hubbard-III type approximations, the electron-phonon interaction cannot lead to superconductivity.
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