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)

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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.

ORCID iDs

Abert, Claas, Ruggeri, Michele ORCID logoORCID: https://orcid.org/0000-0001-6213-1602, Bruckner, Florian, Vogler, Christoph, Hrkac, Gino, Praetorius, Dirk and Suess, Dieter;