Trilayer Bethe lattices in the form of spin-(1/2,3/2,1/2) |
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Authors: | Erhan Albayrak Fermin Ak |
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Affiliation: | Erciyes University, Department of Physics, 38039 Kayseri, Turkey |
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Abstract: | The critical behaviors of the trilayer Bethe lattice in the form of spin-(1/2,3/2,1/2) with the exterior two layers consisting of spin-1/2 and the interior one having only spin-3/2 Ising spins are studied in terms of the recursion relations with either ferromagnetic or antiferromagnetic bilinear exchange interactions between the nearest-neighbor spins. The ground-state phase diagrams are calculated and it is found that the model presents six different ground state phase configurations. The thermal variations of the order-parameter and free energy are investigated, therefore, topologically different phase diagrams of the model are obtained. It is found that the model exhibits second- and first-order phase transitions, tricritical and bicritical points for the values of the coordination numbers q=3, 4 and 6 and, the reentrant behavior for q=4 and 6, respectively. |
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Keywords: | Bethe lattice Trilayer Spin-1/2 Spin-3/2 Phase diagrams Order parameters |
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