Experimental Observation of Vortex Rings in a Bulk Magnet
arXiv:2009.04226 · doi:10.1038/s41567-020-01057-3
Abstract
Vortex rings are remarkably stable structures occurring in numerous systems: for example in turbulent gases, where they are at the origin of weather phenomena [1]; in fluids with implications for biology [2]; in electromagnetic discharges [3]; and in plasmas [4]. While vortex rings have also been predicted to exist in ferromagnets [5], they have not yet been observed. Using X-ray magnetic nanotomography [6], we imaged three-dimensional structures forming closed loops in a bulk micromagnet, each composed of a vortex-antivortex pair. Based on the magnetic vorticity, a quantity analogous to hydrodynamic vorticity, we identify these configurations as magnetic vortex rings. While such structures have been predicted to exist as transient states in exchange ferromagnets [5], the vortex rings we observe exist as stable, static configurations, whose stability we attribute to the dipolar interaction. In addition, we observe stable vortex loops intersected by magnetic singularities [7], at which the magnetisation within the vortex and antivortex cores reverses. We gain insight into the stability of these states through field and thermal equilibration protocols. These measurements pave the way for the observation of complex three-dimensional solitons in bulk magnets, as well as for the development of applications based on three-dimensional magnetic structures.
References in corpus (5)
Cited by in corpus (24)
- Photonic toroidal vortex
- Direct visualization of three-dimensional shape of skyrmion strings in a noncentrosymmetric magnet
- Field-driven dynamics of magnetic Hopfions
- Three-dimensional skyrmionic cocoons in magnetic multilayers
- Emergent Magneto-multipoles and Nonlinear Responses of a Magnetic Hopfion
- Screw dislocations in cubic chiral magnets
- Geometric transformation and three-dimensional hopping of Hopf solitons
- Quantifying the Topology of Magnetic Skyrmions in three Dimensions
- Formation and Controlling of Optical Hopfions in High Harmonic Generation
- Three-dimensional tomographic imaging of the magnetization vector field using Fourier transform holography
- Soft X-ray phase nano-microscopy of micrometre-thick magnets
- Microscopic Origin of the Electric Dzyaloshinskii-Moriya Interaction
- Sculpting liquid crystal skyrmions with external flows
- Temperature induced collapse of spin dimensionality in magnetic metamaterials
- Topological analysis and experimental control of transformations of domain walls in magnetic cylindrical nanowires
- Fingerprint of vortex-like flux closure in isotropic Nd-Fe-B bulk magnet
- Elliptical stability of hopfions in bulk helimagnets
- Pseudo-spectral Landau-Lifshitz description of magnetization dynamics
- Two types of metastable magnetic hopfions
- Hyperbolic Bloch points in ferrimagnetic exchange spring
- Magnetostatic bounds on stability of hopfions in bulk helimagnets
- Thickness-Driven Transitions Between Novel Magnetic States in Ferromagnetic Films
- Regularized Micromagnetic Theory for Bloch Points
- Small-angle neutron scattering signatures of magnetic hopfions