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We present studies of an effective model which is a simple generalization ofthe standard model of a local pair superconductor with on-site pairing (i.e.,the model of hard core bosons on a lattice) to the case of finite pair bindingenergy. The tight binding Hamiltonian consists of (i) the effective on-siteinteraction U, (ii) the intersite density-density interactions W betweennearest-neighbours, and (iii) the intersite charge exchange term I, determiningthe hopping of electron pairs between nearest-neighbour sites. In the analysisof the phase diagrams and thermodynamic properties of this model we treat theintersite interactions within the mean-field approximation. Our investigationsof the U<0 and W>0 case show that, depending on the values of interactionparameters, the system can exhibit three homogeneous phases: superconducting(SS), charge-ordered (CO) and nonordered (NO) as well as the phase separatedSS-CO state.

journal of superconductivity and novel magnetism

Interplay and competition between superconductivity and charge orderings  in the zero-bandwidth limit of the extended Hubbard model with pair hopping  and on-site attraction