Synthesis of hopfion configuration in multilayer nanodisks [N. Kent, N. Reynolds, D. Raftrey, I.T.G. Campbell, S. Virasawmy, S. Dhuey, R.V. Chopdekar, A. Hierro-Rodriguez, A. Sorrentino, E. Pereiro, S. Ferrer, F. Hellman, P. Sutcliffe, P. Fischer "Creation and observation of hopfions in magnetic multilayer systems", Nat. Commun. 12, 1562 (2021) ref].
The exact solution for a ferromagnet with an exchange interaction whose z-part magnitude is a given axial function [R. Balakrishnan, R. Dandoloff and A. Saxena "Exact hopfion vortices in a 3D Heisenberg ferromagnet", arXiv:2202.07195v1; Phys. Lett. A 480, 128975 (2023) ref].
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