  In this work, a study of the magnetic behavior of the spinel ZnFe2O4 is
presented by using the Monte Carlo simulations (MCS). The iron atoms provide
the magnetism in this material. In fact, the magnetic spin of moment of the
Fe3+ ions is S=5/2. In this context, we propose a Hamiltonian describing and
modeling this compound. Firstly, at zero temperature we have studied the ground
state phase diagrams of the system in order to find the more stable
configurations. On the other hand, for a non-null temperature values, we
obtained the results of the Monte Carlo simulations, namely: the magnetizations
and the susceptibilities as a function of temperature. The behavior of those
physical parameters shows an anti-ferromagnetic behavior with a
Neel-temperature of about TN=12 K. This value is found to be in good agreement
with the literature. Moreover, the effect of varying the crystal field, the
exchange coupling interactions and the external magnetic field is studied and
discussed on the behavior of the magnetizations. To complete this study, we
presented the magnetic hysteresis loops deducing the antiferromagnetic behavior
of the ZnFe2O4 compound.
