Hopfions in chiral magnets

Abstract

A magnetic Hopfion is a three-dimensional topological soliton that consists\nof a closed loop of a twisted magnetic Skyrmion string. The results of\nnumerical simulations are presented that demonstrate the existence of a stable\nHopfion in a nanocylinder of a chiral magnet and an explicit analytic\nexpression is shown to provide a reasonable approximation to the numerically\ncomputed Hopfion. A mechanism is suggested to create the Hopfion from a target\nSkyrmion by introducing an interfacial perpendicular magnetic anisotropy.\n