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MA: Fachverband Magnetismus
MA 44: Non-Skyrmionic Magnetic Textures
MA 44.6: Talk
Thursday, March 21, 2024, 16:45–17:00, EB 301
Spacetime Magnetic Hopfions from Internal Excitations and Braiding of Skyrmions — •Ross Knapman1,2, Timon Tausendpfund2, Sebastián A. Díaz1,3, and Karin Everschor-Sitte1 — 1Faculty of Physics and Center for Nanointegration Duisburg-Essen (CENIDE), University of Duisburg-Essen, Duisburg 47057, Germany — 2Institute of Physics, Johannes Gutenberg University Mainz, 55128 Mainz, Germany — 3Department of Physics, University of Konstanz, 78457 Konstanz, Germany
Magnetic hopfions are three dimensional topological magnetic textures for which the topology is typically defined in terms of space, and time plays only a secondary role in terms of the structures’ dynamics. We construct the “spacetime magnetic hopfion”, in which the temporal dimension plays an active role in the definition of the structure’s topology [1]. We use two approaches: the rotation of a skyrmion’s helicity in a frustrated magnet, and the braiding of two skyrmions around one another. The emphasis is placed on the first case, where we use a Ginzburg-Landau description of the system [2] to model the skyrmion’s internal modes using micromagnetic and collective coordinate modelling. In tuning the time dependence of the externally applied electric field, we show that it is possible to induce dynamics which realise spacetime magnetic hopfions. We envisage such structures to exist in other areas of physics, outside of magnetic systems.
[1] Knapman, R., Tausendpfund, T., Díaz, S. A., Everschor-Sitte, K., arXiv:2305.07589 (2023).
[2] Lin, S. Z., Hayami, S., Phys. Rev. B 93, 064430 (2016).
Keywords: hopfion; skyrmion; frustrated magnets; spacetime; dynamics