INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.64, ss.325, 2025 (SCI-Expanded, Scopus)
The antiferromagnetic (AF)-ferromagnetic (FM) spin-3/2 Blume-Capel (BC) model is constructed on the Bethe lattice (BL) and then examined in terms of the exact recursion relations (ERR) to calculate its phase transition properties by mapping the phase diagrams of the model. They are obtained on the crystal field-temperature planes for given values of the external magnetic field and probability parameter giving the strength of the AF interaction over the FM one, or vice versa, on the square lattice. The lattice is divided into sublattices A and B to include the effects of the AF interactions. It is found that the model gives very interesting critical points and behaviors in terms of the combinations of the multi-phase lines in the form of either the first- or second-order type.