Abstract
The effect of electron–lattice interaction is studied for a strongly correlated electron systemdescribed by the two-band Hubbard model. A two-fold effect of electron–lattice interactionis taken into account: in non-diagonal terms, it changes the effective bandwidth, whereas indiagonal terms, it shifts the positions of the bands and the chemical potential. It is shownthat this interaction significantly affects the doping range corresponding to the electronicphase separation and can even lead to a jump-like transition between states with differentvalues of strains.
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