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Spatial decay of isolated magnetic hopfions in chiral helimagnets

Konstantin L. Metlov* and Maksim M. Gordei

  • *Contact author: metlov@donfti.ru
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Phys. Rev. B 113, 224429 – Published 15 June, 2026

DOI: https://doi.org/10.1103/b33m-pdzn

Abstract

Magnetic hopfions in chiral magnets are topological solitons, localized in three dimensions. But is their localization strong? To address this question we derive an asymptotic expansion for the isolated hopfion's spatial profile. It becomes the starting point for a simple analytical model, which is asymptotically correct both near the hopfion center and far away from it. The region of equilibrium hopfions on the phase diagram of a helimagnet is computed and material requirements for supporting movable isolated magnetic hopfions on a uniform background are discussed.

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Phys. Rev. B 113, 224429– Published 15 June, 2026
  • Received 26 February 2026
  • Revised 12 April 2026
  • Accepted 29 May 2026
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