Curvature-induced skyrmion mass
- Creators
- Pavlis, Alexander
- Psaroudaki, Christina
Abstract
We investigate the propagation of magnetic skyrmions on elastically deformable geometries by employing imaginary time quantum field theory methods. We demonstrate that the Euclidean action of the problem carries information of the elements of the surface space metric, and develop a description of the skyrmion dynamics in terms of a set of collective coordinates. We reveal that curvature-driven effects emerge in geometries with nonconstant curvature, which explicitly break the translational invariance of flat space. In particular, for a skyrmion stabilized by a curvilinear defect, an inertia term and a pinning potential are generated by the varying curvature, while both of these terms vanish in the flat-space limit.
Additional Information
© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Received 3 March 2020; revised 13 August 2020; accepted 17 August 2020; published 1 September 2020. A.P. acknowledges helpful discussions with T. N. Tomaras. A.P. was supported by the Onassis Foundation and the Institute for Theoretical and Computational Physics - ITCP (Crete). C.P. has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 839004.Attached Files
Published - PhysRevResearch.2.032058.pdf
Accepted Version - 2003.01810.pdf
Supplemental Material - Supp_Materials.pdf
Files
Additional details
- Eprint ID
- 105307
- Resolver ID
- CaltechAUTHORS:20200909-155040030
- Alexander S. Onassis Public Benefit Foundation
- Institute for Theoretical and Computational Physics
- 839004
- Marie Curie Fellowship
- Created
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2020-09-09Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field