We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

The dynamics of domain wall Skyrmions.

Jennings, Paul and Sutcliffe, Paul (2013) 'The dynamics of domain wall Skyrmions.', Journal of physics A : mathematical and theoretical., 46 (46). p. 465401.


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.

Item Type:Article
Full text:(AM) Accepted Manuscript
Download PDF
Publisher Web site:
Publisher 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
Date accepted:No date available
Date deposited:14 January 2014
Date of first online publication:November 2013
Date first made open access:No date available

Save or Share this output

Look up in GoogleScholar