Strong interaction of correlated electrons with phonons: Exchange of phonon clouds by polarons

Details Strong interaction of correlated electrons with phonons: Exchange of phonon clouds by polarons Strong interaction of correlated electrons with phonons: Exchange of phonon clouds by polarons

2002-08-08

arxiv.org/abs/cond-mat/0208160v1

Physics

Condensed Matter

Strongly Correlated Electrons

23 pages, Submitted to Phys. Rev. B

Scientific paper

10.1134/1.1618349

We investigate the interaction of strongly correlated electrons with phonons in the frame of the Hubbard-Holstein model. The electron-phonon interaction is considered to be strong and is an important parameter of the model besides the Coulomb repulsion of electrons and band filling. This interaction with the nondispersive optical phonons has been transformed to the problem of mobile polarons by using the canonical transformation of Lang and Firsov. We discuss in particular the case for which the on-site Coulomb repulsion is exactly cancelled by the phonon-mediated attractive interaction and suggest that polarons exchanging phonon clouds can lead to polaron pairing and superconductivity. It is then the frequency of the collective mode of phonon clouds being larger than the bare frequency, which determines the superconducting transition temperature.

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