Magnetic Properties of a Bi-Layer Borophene Structure with Mixed Spins: Monte Carlo Study

Our aim of this work is to study the magnetic properties of a bi-layer borophene structure, using Monte Carlo simulations under the Metropolis algorithm. Such a system is formed by two layers. The first one contains 126 atoms with spin σ =  ± 3/2, ± 1/2 and 84 atoms with spins S =  ± 1, 0 while the second one contains 84 atoms with spin σ =  ± 3/2, ± 1/2 and 126 atoms with spins S =  ± 1, 0. We establish, in various planes, the ground-state phase diagrams. Furthermore, we present the thermal variation of the total magnetization and total susceptibility for several values of exchange coupling interactions and crystal field. It is found that the increase in both exchange coupling interactions leads to an almost linear increase in transition temperature in one hand and, on the other hand, to a decrease in the corresponding crystal field transition.