Static Hopf Solitons and Knotted Emergent Fields in Solid-State Noncentrosymmetric Magnetic Nanostructures
Abstract
Two-dimensional topological solitons, commonly called Skyrmions, are extensively studied in solid-state magnetic nanostructures and promise many spintronics applications. However, three-dimensional topological solitons dubbed hopfions have not been demonstrated as stable spatially localized structures in solid-state magnetic materials. Here we model the existence of such static solitons with different Hopf index values in noncentrosymmetric solid magnetic nanostructures with a perpendicular interfacial magnetic anisotropy. We show how this surface anisotropy, along with the Dzyaloshinskii-Moriya interactions and the geometry of nanostructures, stabilize hopfions. We show knots in emergent field lines and computer simulate Lorentz transmission electron microscopy images of such solitonic configurations to guide their experimental discovery in magnetic solids.
- Authors:
-
- Univ. of Colorado, Boulder, CO (United States)
- Publication Date:
- Research Org.:
- Univ. of Colorado, Boulder, CO (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE
- OSTI Identifier:
- 1594985
- Alternate Identifier(s):
- OSTI ID: 1479857
- Grant/Contract Number:
- SC0019293; ER46921; SC0010305
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 121; Journal Issue: 18; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Magnetism; Physical Systems; Chiral magnets; Topology; Condensed Matter & Materials Physics
Citation Formats
Tai, Jung-Shen B., and Smalyukh, Ivan I. Static Hopf Solitons and Knotted Emergent Fields in Solid-State Noncentrosymmetric Magnetic Nanostructures. United States: N. p., 2018.
Web. doi:10.1103/PhysRevLett.121.187201.
Tai, Jung-Shen B., & Smalyukh, Ivan I. Static Hopf Solitons and Knotted Emergent Fields in Solid-State Noncentrosymmetric Magnetic Nanostructures. United States. https://doi.org/10.1103/PhysRevLett.121.187201
Tai, Jung-Shen B., and Smalyukh, Ivan I. Tue .
"Static Hopf Solitons and Knotted Emergent Fields in Solid-State Noncentrosymmetric Magnetic Nanostructures". United States. https://doi.org/10.1103/PhysRevLett.121.187201. https://www.osti.gov/servlets/purl/1594985.
@article{osti_1594985,
title = {Static Hopf Solitons and Knotted Emergent Fields in Solid-State Noncentrosymmetric Magnetic Nanostructures},
author = {Tai, Jung-Shen B. and Smalyukh, Ivan I.},
abstractNote = {Two-dimensional topological solitons, commonly called Skyrmions, are extensively studied in solid-state magnetic nanostructures and promise many spintronics applications. However, three-dimensional topological solitons dubbed hopfions have not been demonstrated as stable spatially localized structures in solid-state magnetic materials. Here we model the existence of such static solitons with different Hopf index values in noncentrosymmetric solid magnetic nanostructures with a perpendicular interfacial magnetic anisotropy. We show how this surface anisotropy, along with the Dzyaloshinskii-Moriya interactions and the geometry of nanostructures, stabilize hopfions. We show knots in emergent field lines and computer simulate Lorentz transmission electron microscopy images of such solitonic configurations to guide their experimental discovery in magnetic solids.},
doi = {10.1103/PhysRevLett.121.187201},
journal = {Physical Review Letters},
number = 18,
volume = 121,
place = {United States},
year = {Tue Oct 30 00:00:00 EDT 2018},
month = {Tue Oct 30 00:00:00 EDT 2018}
}
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