Planar Skyrmions at high and low density.

Ward, R.S.

Abstract

The O(3) Skyrme system in two space dimensions admits topological soliton solutions. This paper studies the transition between the high-density crystalline phase of such solitons and the low-density phase where there are multi-Skyrmions localized in space. The details depend crucially on the choice of the potential function. Two such choices are investigated: in the first system, multi-Skyrmions at low density form a ring; while in the second, there is an explicit crystal solution, and the preferred low-density configurations are chunks of this crystal. The second system is a particularly good analogue of three-dimensional Skyrmions.

Citation

Ward, R. (2004). Planar Skyrmions at high and low density. Nonlinearity, 17(3), 1033-1040. https://doi.org/10.1088/0951-7715/17/3/014

• Journal Article Type: Article
• Online Publication Date: Mar 15, 2004
• Publication Date: 2004-05
• Journal: Nonlinearity
• Print ISSN: 0951-7715
• Electronic ISSN: 1361-6544
• Publisher: IOP Publishing
• Volume: 17
• Issue: 3
• Pages: 1033-1040
• DOI: https://doi.org/10.1088/0951-7715/17/3/014
• Public URL: https://durham-repository.worktribe.com/output/1628894