Mathematics & Physics 2017, 10(1), 65–70 УДК 517.9 Monte Carlo Simulation of Magnetic Multilayered Structures with the Effects of Giant Magnetoresistance Dmitriy E.Romanovskiy∗ Marina V.Mamonova† Vladimir V. Prudnikov‡ Pavel V. Prudnikov§ Omsk State University Mira, 55a, Omsk, 644077 Russia Received 20.08.2016, received in revised form 10.10.2016, accepted 14.11.2016 Monte Carlo simulations of magnetic properties for structures, which are constructed from two ferromagnetic films divided by nonmagnetic film, are carried out using the anisotropic Heisenberg model. <...> The value for exchange integral for Fe(100)/Cr system was calculated using PAW PBE approximation. <...> The calculation of the magnetoresistance coefficient is carried out for different thicknesses of the ferromagnetic films in case of CPP geometry. <...> It was shown, that the obtained temperature dependence for the magnetoresistance coefficient is agreed very well with experimental results, measured for the Fe/Cr and Co/Cu multilayered structures. <...> Keywords: effect of giant magnetoresistance, magnetic multilayered structures, ultrathin films, magnetoresistance coefficient, anisotropic Heisenberg model, Monte Carlo methods. <...> Introduction The ultrathin films of magnetic metals and alloys are used as a components for magnetic multilayer structures. <...> The multilayer structures with GMR effects consist of the ferromagnetic layers separated by nonmagnetic layers. <...> The thickness of these nonmagnetic metal layers are selected in such a way that the long-range and oscillating RKKY exchange interaction between the spins of the ferromagnetic layers is effective antiferromagnetic. <...> Through this interaction, the magnetizations of the adjacent ferromagnetic layers are oriented opposite to each other. <...> When this structure is placed in an external magnetic field, the magnetization of layers begin to orient in parallel, that leads to a significant change in electrical resistance. <...> All rights reserved c – 65 – Dmitriy E.Romanovskiy, Marina V. Mamonova, Vladimir V. Prudnikov, Pavel V. Prudnikov Monte Carlo . . . 1. <...> In (1) and (2) relations, J1 > 0 characterizes the shortrange exchange interaction between the spins, Si = (Sx i ) is a three-dimensional unit vector, △1,2(N) are an anisotropy parameters. <...> The dependence of the anisotropy parameters △1,2(N) on the film thickness N is selected proportional to dependence of the critical temperatures for Fe and Co <...>