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PreprintarXiv licencearXiv

High-order concentric hopfions in a helimagnet

  • Konstantin L. Metlov
  • Maksim M. Gordei
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Abstract

Magnetic hopfions are three-dimensional topological solitons: ``knots'' in the vector field of magnetization of magnetically ordered materials, which are a key element of the three-dimensional spintronics emerging today. In this work, a simple analytical model for a new type of magnetic hopfions --- ``concentric'' ones --- is constructed and solved. Their size and equilibrium energy are estimated, their stability region on the magnetic phase diagram of a helimagnet is mapped out, and the requirements for materials admitting equilibrium concentric hopfions with high Hopf index on a uniformly magnetized background are determined.

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Cite

BibTeXRIS
BibTeX
@misc{metlov2026highorder,
  title = {{High-order concentric hopfions in a helimagnet}},
  author = {Konstantin L. Metlov and Maksim M. Gordei},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00858},
  eprint = {2611.00858},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00858},
}
RIS
TY  - UNPB
TI  - High-order concentric hopfions in a helimagnet
AU  - Konstantin L. Metlov
AU  - Maksim M. Gordei
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00858
UR  - https://arxiv.org/abs/2611.00858
AB  - Magnetic hopfions are three-dimensional topological solitons: ``knots'' in the vector field of magnetization of magnetically ordered materials, which are a key element of the three-dimensional spintronics emerging today. In this work, a simple analytical model for a new type of magnetic hopfions --- ``concentric'' ones --- is constructed and solved. Their size and equilibrium energy are estimated, their stability region on the magnetic phase diagram of a helimagnet is mapped out, and the requirements for materials admitting equilibrium concentric hopfions with high Hopf index on a uniformly magnetized background are determined.
ER  -