Ferrimagnetic mixed Ising spin (7/2, 1/2) system: By Mean Field Theory, exact recursion relations and Monte Carlo method

Based on Mean Field Theory, Exact Recursion Relations, and Monte Carlo Simulations, we have studied phase diagrams and magnetic properties of the mixed system of Ising spin-7/2 and spin-1/2 coupled ferrimagnetically. The system consists of two interpenetrating face-centered cubic sublattices of each spin type. A comparative analysis of the obtained results by these methods is developed. Our calculations have shown a qualitatively good agreement between these three methods' results. However, quantitatively, the produced output quantities values by them show a non-negligible difference. The reasons for that quantitative disagreement have been pointed out in the approximations applied in these different methods. These methods remain nevertheless power tools to study such kinds of systems. •Mean Field Theory, Exact Recursion Relations, and Monte Carlo Simulations are used to investigate the Ferrimagnetic mixed system of Ising spin-7/2 and spin-1/2.•The anisotropy constant effect on the magnetic stability and the thermal response of the system magnetization are investigated.•The hysteresis loops for selected intrinsic parameters of the system are computed.•A comparative study based on qualitative and quantitative aspects of the obtained results by these three methods is carried out.