Hopfions in chiral magnets

Paul Sutcliffe

Hopfions in chiral magnets

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arxiv 1806.06458 v2 pith:YL5TVREC submitted 2018-06-17 cond-mat.mes-hall cond-mat.mtrl-scihep-th

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classification cond-mat.mes-hallcond-mat.mtrl-scihep-th

keywords hopfionmagneticchiralskyrmionanalyticanisotropyapproximationclosed

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

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Higher-dimensional magnetic Skyrmions
cond-mat.mes-hall 2024-11 conditional novelty 7.0 of 10

Three-dimensional magnetic Skyrmions with an S³ target space are proposed, with a generalized DMI yielding a stable Skyrmion, a sphaleron, and a metastable small Skyrmion in the hybrid model.

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