A three-dimensional spin-diffusion model for micromagnetics
Nature Publishing Group
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We solve a time-dependent three-dimensional spin-diffusion model coupled to the Landau-Lifshitz-Gilbert equation numerically. The presented model is validated by comparison to two established spin-torque models: The model of Slonzewski that describes spin-torque in multi-layer structures in the presence of a fixed layer and the model of Zhang and Li that describes current driven domain-wall motion. It is shown that both models are incorporated by the spin-diffusion description, i.e., the nonlocal effects of the Slonzewski model are captured as well as the spin-accumulation due to magnetization gradients as described by the model of Zhang and Li. Moreover, the presented method is able to resolve the time dependency of the spin-accumulation.
The financial support by the Austrian Federal Ministry of Science, Research and Economy and the National Foundation for Research, Technology and Development as well as the Austrian Science Fund (FWF) under grant W1245 and F4102 SFB ViCoM, the innovative projects initiative of Vienna University of Technology, the Vienna Science and Technology Fund (WWTF) under grant MA14-044, and the Royal Society under UF080837 is gratefully acknowledged.
Research Support, Non-U.S. Gov't
Scientific Reports 5, Article number: 14855 (2015)
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