Monte Carlo study of the mixed Blume-Capel model with four-spin interactions

Using Monte Carlo simulations, we study the magnetic properties of a ferri-magnetic mixed spins (3/2,2) in a three-dimensional lattice with four-spin interactions. In one hand, we elaborated analytically the ground state phase diagrams in different planes. We found that the all 4 × 5 = 20 configurations are found to be stable. On the other hand, for non null temperature values, the magnetic properties and phase diagrams are deduced. The total and partial magnetizations/susceptibilities are also presented and discussed for different values of the reduced exchange interactions. The critical temperature is displaced towardslower temperatures. To complete this study, we examined the corresponding hysteresis loop behaviors, of the studied system, for different values of the physical parameters.