Abstract
With a reduced lattice background involving only interactions between certain oxygen modes which interact predominantly with the charge carriers, we clarify the role of non-linear local modes by using the recent results of Sievers and Takeno on intrinsic localized modes in anharmonic crystals. Both extended phonon modes and local modes play a role in the pairing mechanism. The higher energy possible with the local modes can lead to higher transition temperatures while preserving singlet s-wave pairing easily. Useful understanding of the influence of anharmonicity on the unretarded pairing of two electrons is obtained from a numerical study of the simplest ona mode case.
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