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.
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Mancini, F., Mancini, F. Different orderings in the narrow-band limit of the extended Hubbard model on the Bethe lattice. Eur. Phys. J. B 73, 581–595 (2010). https://doi.org/10.1140/epjb/e2010-00031-8
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DOI: https://doi.org/10.1140/epjb/e2010-00031-8