Generalized Skyrme crystals

Silva Lobo, J.; Ward, R.S.

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.

Citation

Silva Lobo, J., & Ward, R. (2011). Generalized Skyrme crystals. Physics Letters B, 696(3), 283-287. https://doi.org/10.1016/j.physletb.2010.12.037

• Journal Article Type: Article
• Acceptance Date: Dec 16, 2010
• Online Publication Date: Dec 22, 2010
• Publication Date: Jan 31, 2011
• Deposit Date: Feb 3, 2011
• Journal: Physics Letters B
• Print ISSN: 0370-2693
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 696
• Issue: 3
• Pages: 283-287
• DOI: https://doi.org/10.1016/j.physletb.2010.12.037
• Keywords: Skyrmions, Hopf solitons.