In this paper we study the magnetic bearing of a bilayer film in anisotropic extended Heisenberg model, using the Monte Carlo method. In this way, by computing the out-of-plane uniform and staggered magnetization, in-plane uniform magnetization, out-of-plane and in-plane magnetic susceptibility, we point out the existence of an antiferromagnetic phase induced in the superior layer as a consequence of the fixed ferromagnetic arrangement of the spins in the base layer. We can also distinguish the existence of two phase transitions which occur in the physical system: antiferromagnetism → mixed phase transition and antiferromagnetism → XY -like phase transition, corresponding to the two physical parameter settings.
The magnetism of the layered materials attracts a great interest in the last years. In this context, it is necessary to take into account the anisotropic comportment of this kind of systems, due to its important influence on the magnetic properties that characterize these structures. In this paper, we intend to study in a numerical manner the effect of the temperature dependence of the anisotropic parameters on the specific behavior of a two-dimensional square lattice of unitary magnetic spins. Thus, using the Monte Carlo technique, we calculate the magnetic susceptibility and the specific heat of the considered physical system governed by a Heisenberg type Hamiltonian and we determine the magnetic properties of the system, induced by the temperature dependence of anisotropy that characterizes the thin film. In this context, we point out a slow decrease of the critical temperature specific to the ferromagnetism-paramagnetism phase transition, in comparison with the case of constant anisotropy. We also detect a critical temperature slight decrease along with the increasing slope of the anisotropy linear variation as a function of temperature.
The non-magnetic impurities influence on the magnetic properties of a single layer thin film treated in the Heisenberg model with three different interactions is investigated, using Monte Carlo technique. Low different impurities concentration levels are discussed (the impurities being randomly distributed in the magnetic spins lattice). The relative magnetization, the magnetic susceptibility and the specific heat are investigated in order to detect the potential magnetic phase transitions in the Ising region of the phase diagram of the system presented above. In this context, the dependency of the critical temperature that characterizes the ferromagnetism-disordered phase (FM-PM) transition as a function of the impurity concentration level is studied. Finally, the lattice size effect is taken into account and a quantitative study about the relative variation of the critical parameters is performed.
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