Role of the attractive intersite interaction in the extended Hubbard model

Details Role of the attractive intersite interaction in the extended Hubbard model Role of the attractive intersite interaction in the extended Hubbard model

2008-11-20

arxiv.org/abs/0811.3310v1

Eur. Phys. J. B 68, 309 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 7 figures. EPJB Topical Issue on Novel Quantum Phases and Mesoscopic Physics in Quantum Gases

Scientific paper

10.1140/epjb/e2008-00399-x

We consider the extended Hubbard model in the atomic limit on a Bethe lattice with coordination number z. By using the equations of motion formalism, the model is exactly solved for both attractive and repulsive intersite potential V. By focusing on the case of negative V, i.e., attractive intersite interaction, we study the phase diagram at finite temperature and find, for various values of the filling and of the on-site coupling U, a phase transition towards a state with phase separation. We determine the critical temperature as a function of the relevant parameters, U/|V|, n and z and we find a reentrant behavior in the plane (U/|V|,T). Finally, several thermodynamic properties are investigated near criticality.

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