Exact Recursion Relations Study of Critical Behaviors, Compensation Temperatures and Multi-Hysteresis in the Mixed Spin-(3/2, 9/2) Blume-Capel Ferrimagnetic Model on the Bethe Lattice
The mixed spin-(3/2, 9/2) Blume-Capel ferrimagnetic model is investigated on the Bethe lattice using exact recursion relations (ERR). Ground-state phase diagrams in the
plane reveal ten competing ferrimagnetic configurations and seven multicritical points—two more ground-state regions than in the previously studied (3/2, 7/2) case on the same lattice. Temperature-dependent phase diagrams are constructed in the
,
planes and in the isotropic case DA = DB = D, for coordination numbers q = 3, 4, 5, 6. The system exhibits both first- and second-order phase transitions and compensation temperatures for appropriate crystal-field values. Under an external magnetic field, the model displays single, double, and triple hysteresis loops; triple loops occur for
. The ten competing spin states of sublattice B (versus eight for spin-7/2) generate nine
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