Abstract
We study the one-dimensional S = 1 Blume-Emery-Grifths model. Upon transforming the spin model into an equivalent fermionic model, we provide the exact solution within the Green’s function and equations of motion formalism. We show that the relevant response functions as well as thermodynamic quantities can be determined, in the whole parameters space, in terms of a nite set of local correlators. Furthermore, considering the case of an antiferromagnetic chain with single-ion anisotropy in the presence of an external magnetic eld, we nd three plateaus in the magnetization curve. In the neighborhood of the endpoints of the intermediate plateau, the specic heat shows a double peak structure.
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