Berlin 2024 – scientific programme

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MA: Fachverband Magnetismus

MA 20: Poster I

MA 20.31: Poster

Tuesday, March 19, 2024, 16:30–19:00, Poster A

Conservation laws and dynamics of 3D topological spin textures — •Maximilian Röhrich¹, Sopheak Sorn¹, Stavros Komineas², and Markus Garst¹ — ¹Karlsruhe Institute of Technology, Germany — ²University of Crete, Greece

With the advent of 3D magnetic imaging techniques, spin textures varying in three spatial dimensions are at the focus of research with magnetic hopfions being a prominent example. In this work, we investigate the dynamics of such textures from the perspective of fundamental conservation laws associated with translational and rotational symmetry. We show that these symmetries imply the conservation of linear, p, and angular momentum, l, which can be expressed, respectively, in terms of the first and second moment of the vorticity, i.e., the 3D generalization of the topological density. Using these results, we derive equations of motion for the rigid translational and rotational motion of the texture that are parametrized by the conserved quantities p and l. Our analytical results are confirmed by numerical simulations.

Keywords: Hopfion; Conservation laws; Dynamics