A self-consistent spin-diffusion model for micromagnetics

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作者
Claas Abert
Michele Ruggeri
Florian Bruckner
Christoph Vogler
Aurelien Manchon
Dirk Praetorius
Dieter Suess
机构
[1] Institute of Solid State,Christian Doppler Laboratory of Advanced Magnetic Sensing and Materials
[2] Physics,Physical Science and Engineering Division
[3] Institute for Analysis and Scientific Computing,undefined
[4] Institute of Solid State Physics,undefined
[5] King Abdullah University of Science and Technology,undefined
[6] (KAUST),undefined
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摘要
We propose a three-dimensional micromagnetic model that dynamically solves the Landau-Lifshitz-Gilbert equation coupled to the full spin-diffusion equation. In contrast to previous methods, we solve for the magnetization dynamics and the electric potential in a self-consistent fashion. This treatment allows for an accurate description of magnetization dependent resistance changes. Moreover, the presented algorithm describes both spin accumulation due to smooth magnetization transitions and due to material interfaces as in multilayer structures. The model and its finite-element implementation are validated by current driven motion of a magnetic vortex structure. In a second experiment, the resistivity of a magnetic multilayer structure in dependence of the tilting angle of the magnetization in the different layers is investigated. Both examples show good agreement with reference simulations and experiments respectively.
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