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MA: Fachverband Magnetismus
MA 17: Computational Magnetism II
MA 17.2: Vortrag
Dienstag, 19. März 2024, 09:45–10:00, EB 202
Efficient Implementation of the Minimum Mode Following Method for magnetic systems — •Hendrik Schrautzer1,2, Moritz Sallermann1,3,4, Stefan Heinze2, Hannes Jónsson1, and Pavel F. Bessarab1 — 1University of Iceland, Reykjavik, Iceland — 2Christian-Albrechts-University, Kiel, Germany — 3Forschungszentrum Jülich and JARA, Jülich, Germany — 4RWTH Aachen University, Aachen, Germany
Magnetic systems hosting topological textures have been of great technological and fundamental interest in recent years. Identifying the lifetime of metastable states, predicting hitherto unknown states, and computing their kinetics are essential tasks [1]. Identifying first-order saddle points on the energy surface is paramount in this context, and the potential for identifying magnetic systems through the implementation of the Minimum Mode Following approach is significant [2]. However, the main computational challenge lies in determining the eigenmodes of the Hessian, which means that embedding these methods in adaptive kinetic Monte Carlo simulations has not yet been achievable. We introduce an efficient implementation of a Riemannian optimization of the Rayleigh Quotient on the Grassmann manifold, which achieves high accuracy determination of extremal eigenmodes without requiring explicit second-order Hessian information. The efficiency of the method is demonstrated by computing various transitions in a complex multistable skyrmionic system.
1: F. Muckel et al., Nat. Phys. 17.3 (2021):395-402
2: G. P. Müller et al., Phys. Rev. Lett. 121.19 (2018):197202
Keywords: Topological Spin Textures; Saddle Point Searches; Minimum Mode Following; Riemannian optimization; Grassmann manifold