Electron-phonon interaction of strong correlated systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 439-451
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The Hubbard–Holstein model after Canonical Lang–Firsov transformation is investigated. Two peculiarities of the model are taken into account: the strong electron correlations and the fact that the hopping of polarons between lattice sites are accompanied by an unrestricted number of phonons. A new diagram technique based on the classification of irreducible multi-particle Green functions is developed. A theorem about the Connected Vacuum diagrams is established and the Dyson equation for the electron Green functions is obtained.
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