Review
Version 1
This version is not peer-reviewed
Magnetic Hopfions: A Review
Version 1
: Received: 25 September 2024 / Approved: 26 September 2024 / Online: 26 September 2024 (12:23:20 CEST)
How to cite: Guslienko, K. Magnetic Hopfions: A Review. Preprints 2024, 2024092084. https://doi.org/10.20944/preprints202409.2084.v1 Guslienko, K. Magnetic Hopfions: A Review. Preprints 2024, 2024092084. https://doi.org/10.20944/preprints202409.2084.v1
Abstract
Recent advances in the research area of 3D magnetic topological solitons (hopfions) in restricted geometries are reviewed. The description of the magnetic solitons is based on macroscopic micromagnetic approach and the Landau-Lifshitz equation of the magnetization motion. The concepts of the gauge emergent vector potential and emergent magnetic field are widely used to calculate 3D topological charge (the Hopf index) of magnetic textures. The relation of the magnetic hopfions with classical field theory is demonstrated and a special role of the curvilinear toroidal coordinates in description of the hopfions is underlined. The hopfion stability and dynamics in ferromagnetic films and dots are considered. Some critical discussion of calculations of the magnetization emergent magnetic field and the Hopf index of the toroidal magnetic hopfions in restricted geometries is presented.
Keywords
3D magnetization textures; topological solitons; Hopf index
Subject
Physical Sciences, Condensed Matter Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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