Magnetic hopfions

Speaker: Prof. Kostyantyn Gusliyenko
Affiliation: Departamento de Física de Materiales, Universidad del País Vasco, UPV/EH, San Sebastian, Spain

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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. 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.

Chairman: Barlomiej Graczykowski

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