Abstract
We discuss the phonon self-energy in the model of tightly bound electron pairs (bosons) which hybridize with itinerant electrons. We investigate the changes of phonons and show that measurements of various phonon modes may give insight into the dispersion relation of the bound electron pairs. In the pseudogap phase the coupling between phonons and the electron pairs determines the temperature induced modification of phonons. The coupling between phonons and itinerant fermions is less important. Therefore, inhomogeneity of the pseudogap related to the onset of itinerant electron pairs should be reflected in the lattice dynamics.
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