Ferromagnetism in the mixed spin-12 and spin-32 Blume–Capel system on the two-fold Cayley tree

Xin Zhang and Xiang-Mu Kong

Physica A: Statistical Mechanics and its Applications, 2006, vol. 369, issue 2, 589-598

Abstract: The ferromagnetic mixed spin-12 and spin-32 Blume–Capel model on the two-fold Cayley tree is investigated using the exact recursion relations. The thermal behavior of magnetizations is studied in detail for different values of the crystal-field interaction Δ and the coordination number q of the sites of the Cayley tree. The exact phase diagrams in the (kBT/J,Δ/J) plane are obtained for different q. The results show that there is no tricritical behavior for the cases of all the coordination numbers and different values of crystal-field interaction. However, there are some interesting phenomena in this system, due to the crystal-field interaction.

Keywords: Mixed spin model; Two-fold Cayley tree; Magnetization; Phase diagram (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:369:y:2006:i:2:p:589-598

DOI: 10.1016/j.physa.2006.02.014

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