Generalized Skyrme crystals

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

doi:10.1016/j.physletb.2010.12.037

Generalized Skyrme crystals

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

Authors

J. Silva Lobo

R.S. Ward

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.