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arXiv · 1012.4090

Generalized Skyrme Crystals

J. Silva Lobo·R. S. Ward
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Abstract

This letter deals with triply-periodic (crystalline) solutions in a family of Skyrme systems, namely where the field takes values in the squashed 3-sphere. The family includes the standard Skyrme model (round 3-sphere), and the Skyrme-Faddeev case (maximal squashing). In the round case, the lowest-energy crystal is the well-known cubic lattice of half-skyrmions; but in the squashed case the minimal-energy crystal structures turn out to be different. We describe some of the solutions that arise, including arrays of vortices and multi-sheeted structures.

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J. Silva Lobo, R. S. Ward. 2010-12-18. Generalized Skyrme Crystals. https://doi.org/10.1016/j.physletb.2010.12.037

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