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

作者：Mancini F^*; Mancini F P

来源：European Physical Journal B, 2010, 73(4): 581-595.

DOI：10.1140/epjb/e2010-00031-8

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.

• 出版日期2010-2