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arXiv · 1305.2869

The dynamics of domain wall Skyrmions

Paul Jennings·Paul Sutcliffe
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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.

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Paul Jennings, Paul Sutcliffe. 2013-05-13. The dynamics of domain wall Skyrmions. https://doi.org/10.1088/1751-8113/46/46/465401

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