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Abstract
In order to investigate the magnetic properties and the ground state phase diagrams of the transition metal oxide perovskite-type Pb(Fe1/2Nb1/2)O3, we use the Monte Carlo simulations under the Metropolis algorithm. For this purpose, we propose a Hamiltonian to model this compound when varying different exchange coupling interactions. In a first step, we elaborate the ground state phase diagrams, showing the stable configurations for different physical parameter planes. For non-null temperature values, we present and discuss the magnetic properties and the behavior of not only the magnetizations but also the magnetic susceptibilities, as a function of temperature the exchange coupling interactions, crystal field, and the external magnetic field. Moreover, we have deduced and discussed the dependency of total energy and the specific heat as function of temperature. Finally, we presented the hysteresis loops of the transition metal oxide perovskite-type Pb(Fe1/2Nb1/2)O3 compound as a function of the external magnetic field.