SPICE Workshop on Nanomagnetism in 3D, April 30th - May 2nd 2024
Phillip Rybakov
Magnetic skyrmions and hopfions are essentially particles made of spins. The topological nature of these states is two- and three-dimensional, respectively. Recent experiments have confirmed the existence of hopfions in magnetic crystals [1]. As it turned out, hopfions naturally combine with skyrmions and form stable bound states. We will discuss in detail the combinations of such topologically different particles. We will also consider the homotopy group, which simultaneously classifies skyrmions, hopfions, and their combinations.
[1] F. Zheng, et al. Hopfion rings in a cubic chiral magnet. Nature 623, 718 (2023)