Accurate finite-difference micromagnetics of magnets including RKKY interaction: Analytical solution and comparison to standard micromagnetic codes

Autor(en)

D. Suess, S. Koraltan, F. Slanovc, F. Bruckner, C. Abert

Abstrakt

Within this paper we show the importance of accurate implementations of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions for antiferromagnetically coupled ferromagnetic layers with thicknesses exceeding the exchange length. In order to evaluate the performance of different implementations of RKKY interaction, we develop a benchmark problem by deriving the analytical formula for the saturation field of two infinitely thick magnetic layers that are antiparallelly coupled. This benchmark problem shows that state of the art implementations in commonly used finite-difference codes lead to errors of the saturation field that amount to more than 20% for mesh sizes of 2 nm which is well below the exchange length of the material. In order to improve the accuracy, we develop higher order cell-based and nodal-based finite-difference codes that significantly reduce the error compared to state of the art implementations. For the second order cell-based approach and first order nodal-based approach the error of the saturation field is reduced by about a factor of 10 (2% error) for the same mesh size of 2 nm.

Organisation(en)

Forschungsplattform MMM Mathematics-Magnetism-Materials, Physik Funktioneller Materialien

Journal

Physical Review B

Band

107

Anzahl der Seiten

14

ISSN

2469-9950

DOI

https://doi.org/10.1103/PhysRevB.107.104424

Publikationsdatum

03-2023

Peer-reviewed

Ja

ÖFOS 2012

103018 Materialphysik

ASJC Scopus Sachgebiete

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/624dd7e5-59c4-42aa-bd30-ea28b83c1611