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Aspects of vibronic coupling in cuprate superconductors

Two types of vibronic coupling are described for the cuprate superconductors. The first takes place within a delocalized band description of the metal electrons and is best viewed as a vibration-induced disproportionation process. The second, novel, interaction involves the change in electronic description between largely copper and largely oxygen located holes, and perhaps between localized and delocalized wavefunctions on vibration. There are strong similarities between the predicted behavior of the vibronic coupling with Cu-O distance and isotopic composition, with that of T c in the cuprates. For the case of strong interaction between the covalent and ionic curves the dependence of this coupling depends upon the functional form of the crossing