Quantifying the topology of magnetic skyrmions in three dimensions

Magnetic skyrmions have so far been treated as two-dimensional spin structures characterized by a topological winding number. However, in real systems with the finite thickness of the device material being larger than the magnetic exchange length, the skyrmion spin texture extends into the third dimension and cannot be assumed as homogeneous. Using soft x-ray laminography, we reconstruct with about 20-nanometer spatial (voxel) size the full three-dimensional spin texture of a skyrmion in an 800-nanometer-diameter and 95-nanometer-thin disk patterned into a 30× [iridium/cobalt/platinum] multilayered film. A quantitative analysis finds that the evolution of the radial profile of the topological skyrmion number is nonuniform across the thickness of the disk. Estimates of the micromagnetic energy densities suggest that the changes in topological profile are related to nonuniform competing energetic interactions. Our results provide a foundation for nanoscale metrology for spintronics devices using topology as a design parameter.

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Publication Details

Journal
Science Advances
Published
2024-10-02
DOI
https://doi.org/10.1126/sciadv.adp8615
Citations
14
Primary Topic
Magnetic properties of thin films
Type
article
Field-Weighted Citation Impact
4.39

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article

Quantifying the topology of magnetic skyrmions in three dimensions

Jörg Raabe, Rajesh V. Chopdekar, David Raftrey, Scott Dhuey et al.
14 citations
Science Advances
Magnetic properties of thin films
4.39
article

Quantifying the topology of magnetic skyrmions in three dimensions

Jörg Raabe, Rajesh V. Chopdekar, David Raftrey, Scott Dhuey, Paul D. Ashby, Sinéad M. Griffin, Simone Finizio, Peter Fischer, Temuujin Bayaraa, Tiffany Santos
article en
14 citations

Abstract

Magnetic skyrmions have so far been treated as two-dimensional spin structures characterized by a topological winding number. However, in real systems with the finite thickness of the device material being larger than the magnetic exchange length, the skyrmion spin texture extends into the third dimension and cannot be assumed as homogeneous. Using soft x-ray laminography, we reconstruct with about 20-nanometer spatial (voxel) size the full three-dimensional spin texture of a skyrmion in an 800-nanometer-diameter and 95-nanometer-thin disk patterned into a 30× [iridium/cobalt/platinum] multilayered film. A quantitative analysis finds that the evolution of the radial profile of the topological skyrmion number is nonuniform across the thickness of the disk. Estimates of the micromagnetic energy densities suggest that the changes in topological profile are related to nonuniform competing energetic interactions. Our results provide a foundation for nanoscale metrology for spintronics devices using topology as a design parameter.

Science AdvancesVol. 10(40)
Lawrence Berkeley National Laboratory (US), University of California, Santa Cruz (US), Paul Scherrer Institute (CH), Western Digital (United States) (US)
U.S. Department of Energy, Western Digital, Bundesministerium für Bildung und Forschung, Paul Scherrer Institut, Office of Science, Basic Energy Sciences, Lawrence Berkeley National Laboratory
Affordable and clean energy
Openalex Percentile: Top 5%
Magnetic properties of thin films
4.39
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