Regensburg 2019 – scientific programme

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MA: Fachverband Magnetismus

MA 15: Magnetism Poster A

MA 15.14: Poster

Tuesday, April 2, 2019, 10:00–13:00, Poster E

Semi-analytical approaches for the radius of skyrmions in thin magnetic films — •Fabian R. Lux, Bernd Zimmermann, and Stefan Blügel — Peter Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, D-52425 Jülich

The skyrmion radius is an important quantity for any skyrmion characterisation, motion and device concept. A closed analytic expression mapping micromagnetic parameters (A, D, K, H, M_s) to the skyrmion radius is unknown. Minimizing the micro-magnetic energy functional for the case of skyrmions in thin magnetic films is equivalent to the solution of the associated Euler-Lagrange equations – a set of highly non-linear differential equations with no hope for an exact global solution in terms of closed form expressions [1]. However, as we demonstrate, the local analytic properties put strong constraints on possible trial functions which allow us to derive approximate results for the skyrmion radius, valid for a wide range of experimental parameters. Magnetostatic interactions can be included by renormalizing the material parameters for magnetocrystalline anisotropy energy and Dzyaloshinskii-Moriya interaction. Extending previous attempts to this problem [2-4], our approach gives a deep insight into the physical mechanisms by which a competition between local degrees of freedom condenses into an expression for the skyrmion radius.
Leonov, A. O., et al. New J. Phys. 18, 065003 (2016)
[2] Bernand-Mantel, A., et al. SciPost Phys. 4, 027 (2018)
[3] Büttner, F., et al., Sci. Rep. 8, 4464 (2018)
[4] Wang, X. S., et al. Commun. Phys. 1, 31 (2018)