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MA: Fachverband Magnetismus
MA 30: Skyrmions II
MA 30.12: Vortrag
Mittwoch, 20. März 2024, 18:15–18:30, EB 301
Classification of real- and reciprocal space topology in skyrmion crystals — •Pascal Prass1, Fabian R. Lux2, Duco van Straten3, and Yuriy Mokrousov1,4 — 1Institute of Physics, Johannes Gutenberg University Mainz, Germany — 2Department of Physics, Yeshiva University, New York, NY 10016, USA — 3Institute of Mathematics, Johannes Gutenberg University Mainz, Germany — 4Peter Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, Germany
As the length scale of a two-dimensional skyrmion crystal approaches the lattice constant of its host material, topological gaps may form in the associated electronic system. However, the smooth texture approximation for the usual geometric approach of emergent magnetic fields is no longer satisfied. Instead, we adopt a fully algebraic view to describe a class of multi-q textures [1], including skyrmion crystals, and apply noncommutative K-theory to compute all admissible Chern numbers. As a central application, we tune the texture parameters, creating discontinuous jumps in the real-space winding number [2,3] for which we observe the relation with Chern numbers of the electronic spectrum. In conclusion, our work gives an exhaustive classification of the electronic state topology in skyrmion crystals and can form the basis for a sophisticated design of topological electronic states in more general magnetic multi-q systems. [1] Lux et al. Phys. Rev. Res. in press (2023/24). [2] Hayami et al. Nat. Commun. 12, 6927 (2021). [3] Shimizu et al. Phys. Rev. B 105, 224405 (2022).
Keywords: skyrmion crystal; multi-q states; topological Hall effect; Chern number; noncommutative geometry