Monte Carlo study of a superlattice with alternate layers

A Monte Carlo (MC) simulation was used to observe the magnetic behavior of a superlattice Ising Model, in the presence of both an external and crystal magnetic fields. The system is made up to layers σ=±1/2$\sigma =\pm 1/2$ and S=±1,0$S=\pm 1,0$. The effect of the exchange interaction coupling _Jp$J_p$ between the spin configurations σ$\sigma$ and S$S$ is investigated for different values of temperature at fixed values of the crystal field. We found that this parameter increases the magnetization of the system at high temperature. Also, the critical temperature is calculated, for each spin configuration as function of temperature using the MC technique. The thermal behavior magnetizations and susceptibilities are studied. Finally, the response of the magnetization to the field shows a hysteresis behavior.