# Regensburg 2022 – wissenschaftliches Programm

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# KFM: Fachverband Kristalline Festkörper und deren Mikrostruktur

## KFM 23: Skyrmions 2 (joint session MA/KFM)

### KFM 23.12: Vortrag

### Donnerstag, 8. September 2022, 12:15–12:30, H37

Change of electronic Chern number induced by phase shifts in multiple-Q textures — •Pascal Prass^{1}, Fabian R. Lux^{1}, Duco van Straten^{2}, and Yuriy Mokrousov^{1,3} — ^{1}Institute of Physics, Johannes Gutenberg University Mainz, Germany — ^{2}Institute of Mathematics, Johannes Gutenberg University Mainz, Germany — ^{3}Peter Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, Germany

A multiple-Q spin texture is given by the superposition of multiple spin spirals and gives rise to a periodic array of topological spin structures, such as skyrmions. Using the emergent magnetic field formalism [1] the topological Hall current in the texture is proportional to the real-space winding number of its spin vector field. In recent articles [2,3], it was illustrated how tuning the relative phase shifts of the spin waves as well as the textures’ net magnetization leads to topological phase transitions in the spin texture, i.e. integer jumps of its winding number. Combining these ideas implies the existence of significant discontinuous jumps in the topological Hall current and its associated Chern numbers in the underlying electronic spectrum. In this work, we directly investigate the spin textures’ electronic band topology to determine the relationship between its real-space winding number and quasi-momentum space Chern numbers. Understanding the electronic behaviour during these transitions will have far-reaching implications for developing tunable topological Hall devices. [1] T. Schulz et al. Nat. Phys. 8, 301-304 (2012). [2] K. Shimizu et al. arXiv:2201.03290 (2022). [3] S. Hayami et al. Nat. Commun. 12, 6927 (2021).