The effects of the next-nearest-neighbour density-density interaction in the atomic limit of the extended Hubbard model

Details The effects of the next-nearest-neighbour density-density interaction in the atomic limit of the extended Hubbard model The effects of the next-nearest-neighbour density-density interaction in the atomic limit of the extended Hubbard model

2011-01-22

arxiv.org/abs/1101.4287v3

Journal of Physics: Condensed Matter 23 (2011) 105601 (12pp); Erratum: J. Phys.: Condens. Matter 23 (2011) 249802 (1pp)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 7 figures; final version, pdf-ReVTeX; corrected typos; submitted to Journal of Physics: Condensed Matter

Scientific paper

10.1088/0953-8984/23/10/105601 1

We have studied the extended Hubbard model in the atomic limit. The Hamiltonian analyzed consists of the effective on-site interaction U and the intersite density-density interactions Wij (both: nearest-neighbour and next-nearest-neighbour). The model can be considered as a simple effective model of charge ordered insulators. The phase diagrams and thermodynamic properties of this system have been determined within the variational approach, which treats the on-site interaction term exactly and the intersite interactions within the mean-field approximation. Our investigation of the general case taking into account for the first time the effects of longer-ranged density-density interaction (repulsive and attractive) as well as possible phase separations shows that, depending on the values of the interaction parameters and the electron concentration, the system can exhibit not only several homogeneous charge ordered (CO) phases, but also various phase separated states (CO-CO and CO-nonordered). One finds that the model considered exhibits very interesting multicritical behaviours and features, including among others bicritical, tricritical, critical-end and isolated critical points.

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