Hopf solitons in helical and conical backgrounds of chiral magnetic solids
arXiv:2004.10109 · doi:10.1103/PhysRevLett.125.057201
Abstract
Three-dimensional topological solitons attract a great deal of interest in fields ranging from particle physics to cosmology but remain experimentally elusive in solid-state magnets. Here we numerically predict magnetic heliknotons, an embodiment of such nonzero-Hopf-index solitons localized in all spatial dimensions while embedded in a helical or conical background of chiral magnets. We describe conditions under which heliknotons emerge as metastable or ground-state localized nonsingular structures with fascinating knots of magnetization field in widely studied materials. We demonstrate magnetic control of three-dimensional spatial positions of such solitons, as well as show how they interact to form molecule-like clusters and possibly even crystalline phases comprising three-dimensional lattices of such solitons with both orientational and positional order. Finally, we discuss both fundamental importance and potential technological utility of magnetic heliknotons.
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Cited by in corpus (27)
- Review: Topology of solitons and singular defects in chiral liquid crystals
- Magnetic skyrmion braids
- Emergent Magneto-multipoles and Nonlinear Responses of a Magnetic Hopfion
- Field-driven metamorphoses of isolated skyrmions within the conical state of cubic helimagnets
- Screw dislocations in cubic chiral magnets
- Geometric transformation and three-dimensional hopping of Hopf solitons
- Mutual conversion between a magnetic Neel hopfion and a Neel toron
- Bifurcation of a Topological Skyrmion String
- Stability of Hopfions in Bulk Magnets with Competing Exchange Interactions
- Finite-element dynamic-matrix approach for propagating spin waves: Extension to mono- and multilayers of arbitrary spacing and thickness
- Controllable Creation of Skyrmion Bags in a Ferromagnetic Nanodisk
- Homotopy transitions and 3D magnetic solitons
- Diversity of states in a chiral magnet nanocylinder
- Heliknoton in a film of cubic chiral magnet
- Lifetime, collapse and escape paths for hopfions in bulk magnets with competing exchange interactions
- Stability and Nucleation of Dipole Strings in Uniaxial Chiral Magnets
- Elliptical stability of hopfions in bulk helimagnets
- Domain Wall Networks as Skyrmion Crystals in Chiral Magnets
- N-Band Photonic Hopf Insulators Based on 2D Microring Lattices
- Topological transition from a hopfion to a toron via flexoelectric self-polarization in chiral liquid crystals
- Non-uniform localised distortions in generalised elasticity for liquid crystals
- Regularized Micromagnetic Theory for Bloch Points
- Electric-current-assisted nucleation of zero-field hopfion rings
- Dislocations and Fibrations: The Topological Structure of Knotted Smectic Defects
- Construction of Hopfion Crystals
- Soliton penetration from edges in a monoaxial chiral magnet
- Hopfions in screw chiral magnets