Journal
PHYSICAL REVIEW LETTERS
Volume 125, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.125.057201
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Funding
- U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering [ER46921, DE-SC0019293]
- University of Colorado at Boulder
- NSF [ACI-1532235, ACI-1532236]
- University of Colorado Boulder
- Colorado State University
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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 moleculelike 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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