M. Ruggeri, C. Abert, G. Hrkac, D. Süss, D. Praetorius:

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

in: "ASC Report 23/2015", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2015, ISBN: 978-3-902627-08-7, 1 - 5.

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.

Micromagnetism, Landau-Lifshitz-Gilbert equation, Spintronics, Finite element method.

http://www.asc.tuwien.ac.at/preprint/2015/asc23x2015.pdf

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