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Monte Carlo simulations and critical behavior of the Rare Earth Based Alloy GdN

Using Monte Carlo Simulations (MCS), based the Metropolis algorithm, we examine in this study, the magnetic properties of the rare earth based compound GdN. In a first step, we discuss and study the ground state phase diagrams explored in the different planes of physical parameter. The obtained stable configurations are illustrated by comparing the energies modeled by the Hamiltonian of Eq. (1). For non-null temperature values, we present and discuss the behavior the total magnetizations and susceptibilities as a function of: the temperature, the crystal field, the exchange coupling interactions and the external magnetic field. The hysteresis loops are illustrated and analyzed when varying the external magnetic field for specific values of the physical parameters: the temperature, the crystal field and the exchange coupling interactions. In order to complete this study, we present the obtained values of the critical exponents corresponding to compound GdN. Such results have been compared with those existing in the literature.