Different orderings in the narrow-band limit of the extended Hubbard model on the Bethe lattice |
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Authors: | F Mancini and F P Mancini |
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Institution: | 1.Dipartimento di Fisica “E. R. Caianiello”,Università degli Studi di Salerno,Fisciano (SA),Italy;2.Unità CNISM di Salerno,Fisciano (SA),Italy;3.Laboratorio Regionale SuperMat,CNR-INFM,Fisciano (SA),Italy;4.I.N.F.N. Sezione di Perugia,Perugia,Italy |
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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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Keywords: | |
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