The statistical mechanics of spin-1 Ising model with AFM/AFM interactions on a bilayer Bethe lattice
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文摘
The spin-1 Ising model is studied for the case of antiferromagnetic (AFM)/AFM interactions on the bilayer Bethe lattice by using the pairwise approach for several values of the coordination numbers q=3, 4 and 6 when the layers are linked with the external magnetic fields. The ground state (GS) phase diagrams, thermal variations of the order-parameters and the response functions are studied in detail to obtain the phase diagrams of the model. It was found that the system gives only one Néel temperature, TN, for q=3. Two TN's and first-order phase transition temperature, Tt, thus tricritical point, are found and the existence of two TN's leads to the reentrant behavior when q=4 and 6 for some given system parameters.

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