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[1] Liu, Y., Lake, R. K., and Zang, J. (2018). Binding a hopfion in a chiral magnet nanodisk. Phys. Rev. B 98: 174437. DOI: 10.1103/PhysRevB.98.174437. [2] Yu, X., Liu, Y., Iakoubovskii, K. V., et al. (2023). Realization and current-driven dynamics of fractional hopfions and their ensembles in a helimagnet FeGe. Adv. Mater. 35: 2210646. DOI: 10.1002/adma.202210646. [3] Tang, J., Wu, Y., Wang, W., et al. (2021). Magnetic skyrmion bundles and their current-driven dynamics. Nat. Nanotechnol. 16: 1086−1091. DOI: 10.1038/s41565-021-00954-9. [4] Zheng, F., Kiselev, N. S., Rybakov F. N., et al. (2023). Hopfion rings in a cubic chiral magnet. Nature 623: 718. DOI: 10.1038/s41586-023-06658-5. [5] Zhang, Z., Lin, K., Zhang, Y., et al. (2023). Magnon scattering modulated by omnidirectional hopfion motion in antiferromagnets for meta-learning. Sci. Adv. 9: ade7439. DOI: 10.1126/sciadv.ade7439. -
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Liu Y. (2024). Magnetic hopfion rings entangled with skyrmions. The Innovation Materials 2(1): 100056. https://doi.org/10.59717/j.xinn-mater.2024.100056
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Liu Y. (2024). Magnetic hopfion rings entangled with skyrmions. The Innovation Materials 2(1): 100056. https://doi.org/10.59717/j.xinn-mater.2024.100056
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Figure 1.
Realization of a magnetic hopfion ring entangled with skyrmion strings
