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Abstract
The effects of RKKY interaction and the influence of the four spin interaction J4, on the multi-layer transition and magnetic properties of a spin-1/2 Ashkin Teller model of a ferromagnetic system shaped by two magnetic multi-layer materials, of different thicknesses, separated by a non-magnetic spacer of thickness M, are examined using Monte Carlo simulations. The system presents a new partially ordered phase <σS>, for various values of J4/J2, and exhibits behavior typical of a second-order phase transition. It is found that the transition temperatures of the two blocks are strongly dependent on the thickness of the magnetic layers N and the four-spin coupling J4/J2, while they do not depend on the non-magnetic spacer and the Fermi level kf. Finally, We have obtained a critical thickness ML of the non-magnetic spacer above which the multi-layer blocks undergo a transition separately at different temperatures, for J4/J2=3 and kf=0.2.
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