The dynamics of domain wall Skyrmions

Jennings, Paul; Sutcliffe, Paul

Abstract

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.

Citation

Jennings, P., & Sutcliffe, P. (2013). The dynamics of domain wall Skyrmions. Journal of Physics A: Mathematical and Theoretical, 46(46), Article 465401. https://doi.org/10.1088/1751-8113/46/46/465401

• 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
• DOI: https://doi.org/10.1088/1751-8113/46/46/465401
• Public URL: https://durham-repository.worktribe.com/output/1474833