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Generalized Skyrme crystals

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


J. Silva Lobo

R.S. Ward


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.


Silva Lobo, J., & Ward, R. (2011). Generalized Skyrme crystals. Physics Letters B, 696(3), 283-287.

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
Keywords Skyrmions, Hopf solitons.

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