Abstract
The polaron formation at finite densities is studied in the Holstein-Hubbard model transformed, by a modified Lang-Firsov transformation, to a polaron Hamiltonian. In a variational approach, an effective polaronic Hubbard model is derived, where squeezing effects are taken into account. The correlations are treated in the slave-boson saddle-point approximation. Including charge- and magnetically ordered states the phase diagram is calculated, and a self-trapping transition from light to heavy polarons is found. The optical conductivity of heavy polarons reveals correlation-induced structures. By a Schrieffer-Wolff transformation up to second order in the residual polaron-multiphonon interaction, an effective polaron model is derived, where for a polaronic attraction an on-site bipolaron model is obtained.
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