Skyrmion knots in frustrated magnets
arXiv:1705.10966 · doi:10.1103/PhysRevLett.118.247203
Abstract
A magnetic Skyrmion is a stable two-dimensional nanoparticle describing a localized winding of the magnetization in certain magnetic materials. Skyrmions are the subject of intense experimental and theoretical investigation and have potential technological spintronic applications. Here we show that numerical computations of frustrated magnets predict that Skyrmions can be tied into knots to form new stable three-dimensional nanoparticles. These stable equilibria of twisted loops of Skyrmion strings have an integer-valued topological charge, known as the Hopf charge, that counts the number of particles. Rings are formed for low values of this charge, but for higher values it is energetically favourable to form links and then knots. This computational study provides a novel impetus for future experimental work on these nanoknots and an exploration of the potential technological applications of three-dimensional nanoparticles encoding knotted magnetization.
5 pages, 3 figures. To appear in PRL
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Cited by in corpus (32)
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- Bifurcation of a Topological Skyrmion String
- Skyrmions and Hopfions in 3D Frustrated Magnets
- Stability of Hopfions in Bulk Magnets with Competing Exchange Interactions
- Skyrmion Crystal and Phase Transition in Magneto-Ferroelectric Superlattices: Dzyaloshinskii-Moriya Interaction in a Frustrated Model
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- Exact Hopfion Vortices in a 3D Heisenberg Ferromagnet
- Nonlinear dynamics of topological helicity wave in a frustrated skyrmion string
- Noncollinear antiferromagnetic textures driven high harmonic generation from magnetic dynamics in the absence of spin-orbit coupling
- N-Band Photonic Hopf Insulators Based on 2D Microring Lattices
- Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates
- Topological energy bounds for frustrated magnets
- Topological protection breakdown: a route to frustrated ferroelectricity
- Three-dimensional topological orbital Hall effect caused by magnetic hopfions
- Microscopic Theory of Nonlinear Hall Effect in Three-dimensional Magnetic Systems
- Static and Dynamics of Twisted Skyrmion Tubes in Frustrated Magnets
- Higher-dimensional magnetic Skyrmions
- Simulating magnetic antiskyrmions on the lattice
- Electric-current-assisted nucleation of zero-field hopfion rings
- Hopfions in screw chiral magnets
- Construction of Hopfion Crystals