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The dynamics of domain wall Skyrmions

Jennings, Paul; Sutcliffe, Paul

The dynamics of domain wall Skyrmions Thumbnail


Paul Jennings


It has recently been shown that Skyrmions with a fixed size can exist in theories without a Skyrme term, providing the Skyrmion is located on a domain wall. Here we numerically compute domain wall Skyrmions of this type, in a (2+1)-dimensional O(3) sigma model with a potential term. Moreover, we investigate Skyrmion dynamics, to study both Skyrmion stability and the scattering of multi-Skyrmions. We demonstrate that scattering events in which both Skyrmions remain on the same domain wall are effectively one-dimensional, and at low speeds are well-approximated by kink scattering in the integrable sine–Gordon model. However, more exotic fully two-dimensional scatterings are also presented, in which Skyrmions that are initially on different domain walls emerge on the same domain wall.


Jennings, P., & Sutcliffe, P. (2013). The dynamics of domain wall Skyrmions. Journal of Physics A: Mathematical and Theoretical, 46(46), Article 465401.

Journal Article Type Article
Publication Date Nov 1, 2013
Deposit Date Nov 18, 2013
Publicly Available Date Jan 14, 2014
Journal Journal of Physics A: Mathematical and Theoretical
Print ISSN 1751-8113
Electronic ISSN 1751-8121
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 46
Issue 46
Article Number 465401


Accepted Journal Article (1.4 Mb)

Copyright Statement
© 2013 IOP Publishing. This is an author-created, un-copyedited version of an article accepted for publication in Journal of physics A : mathematical and theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1751-8113/46/46/465401

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