Polaron with disordered electron-phonon interaction

A single electron in one dimensional lattice is considered within the framework of extended Holstein model at strong-coupling limit. Disordered density-displacement type electron-phonon interaction is proposed. Basic parameters of small polaron formed due to disordered electron-phonon interaction are calculated. It is shown that disordered electron-phonon interaction substantially influences all properties of the polaron. Depending on disordered electron-phonon interaction polaronic effect might be enhanced or diminished. It turns out that all parameters of the polaron are site dependent. Further application of proposed model is briefly discussed.

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