A three-dimensional spin-diffusion model for micromagnetics

Abert, Claas and Ruggeri, Michele and Bruckner, Florian and Vogler, Christoph and Hrkac, Gino and Praetorius, Dirk and Suess, Dieter (2015) A three-dimensional spin-diffusion model for micromagnetics. Scientific Reports, 5. 14855. ISSN 2045-2322 (https://doi.org/10.1038/srep14855)

[thumbnail of Abert-etal-SR2015-A-three-dimensional-spin-diffusion model-micromagnetics]
Preview
Text. Filename: Abert_etal_SR2015_A_three_dimensional_spin_diffusion_model_micromagnetics.pdf
Final Published Version
License: Creative Commons Attribution 4.0 logo

Download (880kB)| Preview

Abstract

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.