Different orderings in the narrow-band limit of the extended Hubbard model on the Bethe lattice

Abstract

We present the exact solution of a system of Fermi particles living on the sites of a Bethe lattice with coordination number z and interacting through on-site U and nearest-neighbor V interactions. This is a physical realization of the extended Hubbard model in the atomic limit. Within the Green's function and equations of motion formalism, we provide a comprehensive analysis of the model and we study the phase diagram at finite temperature in the whole model's parameter space, allowing for the on-site and nearest-neighbor interactions to be either repulsive or attractive. We find the existence of critical regions where charge ordering (V>0) and phase separation (V<0) are observed. This scenario is endorsed by the study of several thermodynamic quantities.

17 pages, 20 figures

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Cited by in corpus (6)

• Diversity of charge orderings in correlated systems
• The Composite Operator Method (COM)
• 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
• The effects of the next-nearest-neighbour density-density interaction in the atomic limit of the extended Hubbard model
• Exact solution of the 1D Hubbard model with NN and NNN interactions in the narrow-band limit
• Charge-Ordered States and the Phase Diagram of the Extended Hubbard Model on the Bethe lattice