Ground state phase diagrams and magnetic properties of a bilayer hexagonal structure

The Monte Carlo simulations are used to study the bilayer hexagonal structure. The ground state phase diagrams are found. Phase diagrams of the ground state are useful to check the reliability of the numerical results for the phase diagrams at finite temperature and allow exploring regions where important magnetic behaviors could arise. We find that the 26 configurations are stable from 30 phases possible. The critical temperatures are deduced for different size of system. On the other hand, we investigate the effects of the crystal fields, temperatures and reduced exchange coupling interactions on the hysteresis curves. A number of characteristic behaviors are found, such as the occurrence of single and triple hysteresis loops for appropriate values of the system parameters. Our results are compared with other theoretical works and a very good agreement is achieved.