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.

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

MANCINI, Ferdinando;MANCINI, FRANCESCO PAOLO
2010-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/3015820
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