A self-consistent spin-diffusion model for micromagnetics

Claas Abert; Michele Ruggeri; Florian Bruckner; Christoph Vogler; Aurelien Manchon; Dirk Praetorius; Dieter Suess

doi:10.1038/s41598-016-0019-y

A self-consistent spin-diffusion model for micromagnetics

Claas Abert^*, Michele Ruggeri, Florian Bruckner, Christoph Vogler, Aurelien Manchon, Dirk Praetorius, Dieter Suess

^*Corresponding author for this work

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

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Abstract

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.

Original language	English
Article number	16
Pages (from-to)	1-7
Number of pages	7
Journal	Scientific Reports
Volume	6
Issue number	1
DOIs	https://doi.org/10.1038/s41598-016-0019-y
Publication status	Published - 21 Dec 2016

Keywords

micromagnetics
spin-diffusion model
Landau-Lifshitz-Gilbert equation
full spin-diffusion equation
magnetization dynamics
magnetic vortex structure

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Abert-etal-SR2016-A-self-consistent-spin-diffusion-model-micromagneticsFinal published version, 2.18 MBLicence: CC BY 4.0

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abstract = "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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AU - Abert, Claas

AU - Ruggeri, Michele

AU - Bruckner, Florian

AU - Vogler, Christoph

AU - Manchon, Aurelien

AU - Praetorius, Dirk

AU - Suess, Dieter

N1 - Publisher Copyright: © The Author(s) 2017.

PY - 2016/12/21

Y1 - 2016/12/21

N2 - 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.

AB - 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.

KW - micromagnetics

KW - spin-diffusion model

KW - Landau-Lifshitz-Gilbert equation

KW - full spin-diffusion equation

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A self-consistent spin-diffusion model for micromagnetics

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Keywords

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