Monte Carlo simulation based on the Metropolis algorithm is used to investigate the thermal and magnetic properties of the mixed spin-1/2 and spin-1 Ising model on a double-layer thin film one fixed. The upper layer rotates around the z-axis using the rotation matrix under the influence of different parameters such as the rotational angle, reduced exchange coupling constant, reduced anisotropy constant, and the applied external magnetic field. This study concentrated on examining the interactions between next-neighbor atoms, employing free boundary conditions. The critical and compensation behavior has been investigated by studying phase diagrams, and magnetic and thermodynamic properties such as magnetization, susceptibility, and specific heat. The system showed diverse types of Neel behaviors such as the N-, Q-, and P-type. Moreover, the hysteresis loops of the system have been examined for different values of the exchange interaction constant, temperature, crystal field, and the rotational angle. Finally, the system showed single and triple hysteresis loop behaviors and superparamagnetic behavior.
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