Compensation and Critical Behavior of Mixed Spin Ising Model with Four-Spin Interactions in a Crystal Field

We study the thermodynamical properties of two-dimensional mixed spin Ising system consisting of spin-1/2 and spin-1 with four-spin interactions in crystal field interactions on a square lattice within the framework of the finite cluster approximation based on single-site cluster theory. In this paper, the phase diagrams show qualitatively and quantitatively interesting features. In fact, the system exhibits a variety of interesting features resulting from the introduction of the four-spin interactions and the crystal field interactions. Finally, using the same method, we study the behavior of the total magnetization of the Ising model with four-spin interactions in the crystal field to show the existence of compensation points and point intervals for certain values of D.