Coupling of dynamical micromagnetism and a stationary spin drift-diffusion equation: a step towards a fully self-consistent spintronics framework

Michele Ruggeri; Claas Abert; Gino Hrkac; Dieter Suess; Dirk Praetorius

doi:10.1016/j.physb.2015.09.003

Coupling of dynamical micromagnetism and a stationary spin drift-diffusion equation: a step towards a fully self-consistent spintronics framework

Michele Ruggeri^*, Claas Abert, Gino Hrkac, Dieter Suess, Dirk Praetorius

^*Corresponding author for this work

Mathematics And Statistics

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

9 Citations (Scopus)

Abstract

We consider the coupling of the Landau-Lifshitz-Gilbert equation with a quasilinear diffusion equation to describe the interplay of magnetization and spin accumulation in magnetic-nonmagnetic multilayer structures. For this problem, we propose and analyze a convergent finite element integrator, where, in contrast to prior work, we consider the stationary limit for the spin diffusion. Numerical experiments underline that the new approach is more effective, since it leads to the same experimental results as for the model with time-dependent spin diffusion, but allows for larger time-steps of the numerical integrator.

Original language	English
Pages (from-to)	88-91
Number of pages	4
Journal	Physica B: Condensed Matter
Volume	486
DOIs	https://doi.org/10.1016/j.physb.2015.09.003
Publication status	Published - 1 Apr 2016

Funding

The authors acknowledge support from the Vienna Science and Technology Fund (WWTF) under grant MA14-44 (GH, DP, DS), from the Austrian Science Fund (FWF) under grant W1245 (DP, MR), from TU Wien through the innovative projects initiative (DP, MR), from the Austrian Federal Ministry of Science, Research and Economy and the National Foundation for Research, Technology and Development (CA, DS) , through the EPSRC grant EP/K008412/1 (GH), from the Royal Society under grant UF080837 (GH).

Keywords

finite element method
Landau-Lifshitz-Gilbert equation
micromagnetism
spintronics

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title = "Coupling of dynamical micromagnetism and a stationary spin drift-diffusion equation: a step towards a fully self-consistent spintronics framework",

abstract = "We consider the coupling of the Landau-Lifshitz-Gilbert equation with a quasilinear diffusion equation to describe the interplay of magnetization and spin accumulation in magnetic-nonmagnetic multilayer structures. For this problem, we propose and analyze a convergent finite element integrator, where, in contrast to prior work, we consider the stationary limit for the spin diffusion. Numerical experiments underline that the new approach is more effective, since it leads to the same experimental results as for the model with time-dependent spin diffusion, but allows for larger time-steps of the numerical integrator.",

keywords = "finite element method, Landau-Lifshitz-Gilbert equation, micromagnetism, spintronics",

author = "Michele Ruggeri and Claas Abert and Gino Hrkac and Dieter Suess and Dirk Praetorius",

note = "Funding Information: The authors acknowledge support from the Vienna Science and Technology Fund (WWTF) under grant MA14-44 (GH, DP, DS), from the Austrian Science Fund (FWF) under grant W1245 (DP, MR), from TU Wien through the innovative projects initiative (DP, MR), from the Austrian Federal Ministry of Science, Research and Economy and the National Foundation for Research, Technology and Development (CA, DS) , through the EPSRC grant EP/K008412/1 (GH), from the Royal Society under grant UF080837 (GH). Publisher Copyright: {\textcopyright} 2015 Elsevier B.V.",

year = "2016",

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doi = "10.1016/j.physb.2015.09.003",

language = "English",

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AU - Ruggeri, Michele

AU - Abert, Claas

AU - Hrkac, Gino

AU - Suess, Dieter

AU - Praetorius, Dirk

N1 - Funding Information: The authors acknowledge support from the Vienna Science and Technology Fund (WWTF) under grant MA14-44 (GH, DP, DS), from the Austrian Science Fund (FWF) under grant W1245 (DP, MR), from TU Wien through the innovative projects initiative (DP, MR), from the Austrian Federal Ministry of Science, Research and Economy and the National Foundation for Research, Technology and Development (CA, DS) , through the EPSRC grant EP/K008412/1 (GH), from the Royal Society under grant UF080837 (GH). Publisher Copyright: © 2015 Elsevier B.V.

PY - 2016/4/1

Y1 - 2016/4/1

N2 - We consider the coupling of the Landau-Lifshitz-Gilbert equation with a quasilinear diffusion equation to describe the interplay of magnetization and spin accumulation in magnetic-nonmagnetic multilayer structures. For this problem, we propose and analyze a convergent finite element integrator, where, in contrast to prior work, we consider the stationary limit for the spin diffusion. Numerical experiments underline that the new approach is more effective, since it leads to the same experimental results as for the model with time-dependent spin diffusion, but allows for larger time-steps of the numerical integrator.

AB - We consider the coupling of the Landau-Lifshitz-Gilbert equation with a quasilinear diffusion equation to describe the interplay of magnetization and spin accumulation in magnetic-nonmagnetic multilayer structures. For this problem, we propose and analyze a convergent finite element integrator, where, in contrast to prior work, we consider the stationary limit for the spin diffusion. Numerical experiments underline that the new approach is more effective, since it leads to the same experimental results as for the model with time-dependent spin diffusion, but allows for larger time-steps of the numerical integrator.

KW - finite element method

KW - Landau-Lifshitz-Gilbert equation

KW - micromagnetism

KW - spintronics

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SN - 0921-4526

VL - 486

SP - 88

EP - 91

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

ER -

Coupling of dynamical micromagnetism and a stationary spin drift-diffusion equation: a step towards a fully self-consistent spintronics framework

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Keywords

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