Dresden 2026 – scientific programme
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AKPIK: Arbeitskreis Physik, moderne Informationstechnologie und Künstliche Intelligenz
AKPIK 5: Poster
AKPIK 5.6: Poster
Thursday, March 12, 2026, 15:00–16:30, P5
Persistent Homology-Based Indicator of Orientational Ordering in Experimental Skyrmion Lattices — •Michiki Taniwaki1,2, Thomas Winkler1,3, Jan Rothörl1, Raphael Gruber1, Chiharu Mitsumata4, Masato Kotsugi2, and Mathias Kläui1 — 1Institute of Physics, Johannes Gutenberg University Mainz, 55099 Mainz, Germany — 2Department of Materials Science and Technology, Tokyo University of Science, Niijuku 125-8585, Japan — 3Institute of Molecules and Materials, Radboud University, Heyen- daalseweg 135, 6525AJ Nijmegen, The Netherlands — 4Graduate School of Pure and Applied Sciences, University of Tsukuba, Tenodai 305-8571, Japan
Skyrmions are chiral spin textures whose topological protection makes them apt for low-power memory and logic devices. In two dimensions, skyrmion lattices can undergo topological phase transitions[1]. A central challenge is to quantify the configurational order of skyrmion lattices and to construct appropriate indicators that are sensitive to topological defects. Here we use persistent homology (PH), a method from topological data analysis, to characterize experimental two-dimensional skyrmion lattices. We define new scalar measures of translational and orientational order and compare them with the conventional measure of the ordering. Our approach captures the signatures of the softening of configurational order. These results demonstrate that PH provides a compact and robust indicator of the order and is well suited to the study of topological phase transitions. [1] R. Gruber et al., Nat. Nanotechnol. 20, 1405-1411 (2025).
Keywords: Skyrmion lattice; Topological phase transitions; Persistent Homology; Topological data analysis