Anisotropic and exchange effects on a bosonic–fermionic spin structure with S=3 and σ=5/2: A ferrimagnetic analysis

In this study, a mixed Ising-type ferrimagnetic system is analyzed using Monte Carlo simulations, heat-bath algorithms, and periodic boundary conditions. The ferrimagnet is composed of two interpenetrating square sublattices, A and B, with spins S=3 and σ=5/2, respectively. The main objective of this work is the thermomagnetic characterization of the system through the exploration of its physical behavior under the effects of exchange couplings, anisotropic interactions, and external fields. In particular, the finite-temperature phase diagrams of the magnetization and magnetic susceptibility are examined, as well as the hysteretic behavior of the system in the (MT−h′) plane for various temperatures. The influence of the parameters in the Hamiltonian, especially of single-ion crystal fields (DS, Dσ, D) and next−nearest-neighbor interactions (Jσσ), is reflected in the critical phenomena exhibited by the system, such as first- and second-order phase transitions, compensation temperatures, multiple hysteresis loops, and paramagnetic phenomena. The results show qualitatively analogous behaviors to those reported in studies of bosonic–fermionic-like configurations. Considering the limited theoretical and experimental research on the ferrimagnetic model with spins (3,5/2) and the findings obtained in the present work, this study represents a valuable qualitative contribution for future practical investigations aimed at potential industrial applications in the design of new magnetic materials.