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    Geometry and symmetry in skyrmion dynamics

    Vladyslav M. Kuchkin1,2,*, Ksenia Chichay3, Bruno Barton-Singer4, Filipp N. Rybakov5, Stefan Blügel1, Bernd J. Schroers4, and Nikolai S. Kiselev1

    • 1Peter Grünberg Institute and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, 52425 Jülich, Germany
    • 2Department of Physics, RWTH Aachen University, 52056 Aachen, Germany
    • 3Institute of Physics, Mathematics and Information Technology, Immanuel Kant Baltic Federal University, 236041 Kaliningrad, Russia
    • 4Maxwell Institute for Mathematical Sciences and Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
    • 5Department of Physics, KTH Royal Institute of Technology, 10691 Stockholm, Sweden

    • *v.kuchkin@fz-juelich.de

    Phys. Rev. B 104, 165116 – Published 8 October, 2021

    DOI: https://doi.org/10.1103/PhysRevB.104.165116

    Abstract

    The uniform motion of chiral magnetic skyrmions induced by a spin-transfer torque displays an intricate dependence on the skyrmions' topological charge and shape. We reveal surprising patterns in this dependence through simulations of the Landau-Lifshitz-Gilbert equation with Zhang-Li torque and explain them through a geometric analysis of Thiele's equation. Our results provide a universal geometrical understanding of the dependence of the skyrmion's velocity and Hall angle on the skyrmion's topological charge, shape, and orientation. The generality of our approach suggests the validity of our results for exchange-frustrated magnets, bubble materials, and other materials.

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