We investigate the effect of coupling (intensity and nature), applied field, and anisotropy on the spin dynamics of a multi-layer system composed of a hard magnetic slab coupled to a soft magnetic slab through a nonmagnetic spacer. The soft slab is modeled as a stack of several atomic layers while the hard layer, of a different material, is either considered as a pinned macroscopic magnetic moment or as an atomic multi-layer system. We compute the magnetization profile and hysteresis loop of the multi-layer system by solving the Landau-Lifshitz equations for the net magnetic moment of each (atomic) layer. We study the competition between the intra-layer anisotropy and exchange interaction, applied magnetic field, and the inter-slab exchange, dipolar or Dzyaloshinski-Moriya interaction. Comparing the effects on the magnetization profile of the three couplings shows that despite the strong effect of the exchange coupling, the dipolar and Dzyaloshinski-Moriya interactions induce a slight (but non negligible) deviation in either the polar or azimuthal direction thus providing more degrees of freedom for adjusting the spin configuration in the multi-layer system.
@article{arxiv.1211.1217,
title = {Spin dynamics of hard-soft magnetic multi-layer systems: Effect of Exchange, Dipolar and Dzyaloshinski-Moriya interactions},
author = {Andres Felipe Franco and Hamid Kachkachi},
journal= {arXiv preprint arXiv:1211.1217},
year = {2015}
}