Publication details for Paul SutcliffeJennings, Paul & Sutcliffe, Paul (2013). The dynamics of domain wall Skyrmions. Journal of Physics A: Mathematical and Theoretical 46(46): 465401.
- Publication type: Journal Article
- ISSN/ISBN: 1751-8113 (print), 1751-8121 (electronic)
- DOI: 10.1088/1751-8113/46/46/465401
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
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.