Skyrmions and hopfions in three-dimensional frustrated magnets

Naya, Carlos; Schubring, Daniel; Shifman, Mikhail; Wang, Zhentao

doi:10.1103/physrevb.106.094434

Skyrmions and hopfions in three-dimensional frustrated magnets

Journal Article · Wed Sep 28 04:00:00 EDT 2022 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.106.094434· OSTI ID:1905532

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Stockholm Univ. (Sweden); University of Minnesota
Univ. of Minnesota, Minneapolis, MN (United States)

Here, a model of an inversion-symmetric frustrated spin system is introduced which hosts three-dimensional extensions of magnetic skyrmions. In the continuum approximation, this model reduces to a nonlinear sigma model on a squashed sphere that has a natural interpolating parameter. At one limit of the parameter, the model reduces to a frustrated magnetic system earlier considered by Sutcliffe as a host to hopfions, and in the other limit, it becomes very similar to the 3D Skyrme model. To better understand the relation between hopfions and 3D skyrmions, a model interpolating between the Faddeev-Niemi and the Skyrme models is reconsidered and it is shown that energies of the solitons obey a linear Bogomol'nyi-Prasad-Sommerfeld bound. The 3D skyrmions in the frustrated magnetic model are found and compared to the rational map ansatz.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE; Olle Engkvist Foundation

Grant/Contract Number:: SC0011842; SC0016371

OSTI ID:: 1905532

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 9 Vol. 106; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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