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An electron-phonon interaction arising from the modulation of thesuperexchange interaction by phonons is studied within the theoreticalframework of Kondo lattices. It is relevant in strongly correlated electronliquids in cuprate oxide superconductors, which lie in the vicinity of theMott-Hubbard metal-insulator transition. It is enhanced by antiferromagneticand superconducting fluctuations, which are developed mainly because of thesuperexchange interaction. When the enhancement of the electron-phononinteraction is large enough, it can explain the softening of phonons and kinksin the quasiparticle dispersion in cuprate oxide superconductors. However, thesuperexchange interaction itself must be mainly responsible for the formationof Cooper pairs.Comment: 10 pages, 1 figur

Electron-phonon interaction enhanced by antiferromagnetic and superconducting fluctuations in cuprate superconductors