1. Baby Skyrmion crystals.
- Author
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Leask, Paul
- Subjects
- *
SKYRMIONS , *CRYSTALS , *CRYSTAL structure , *CRYSTAL surfaces , *SKYRME model , *INFANTS - Abstract
This paper describes a model for baby Skyrme crystal chunks with arbitrary potential by considering energy contributions from the bulk and surface of a crystal chunk. We focus on two potentials which yield distinct Skyrme lattices: the standard potential V=m²(1-φ³) and the easy plane potential V=12m²(φ¹)². In both models, the static energy functional is minimized over all two-dimensional period lattices, yielding the minimal-energy crystal structure(s). For the standard potential, the Skyrmions form a hexagonal crystal structure, whereas, for the easy plane potential, the minimal-energy crystal structure is a square lattice of half-charge lumps. We find that square crystal chunks are the global minima in the easy plane model for charges B>6, with 2B being a perfect square (m²=1). In contrast, we observe that hexagonal crystal chunks in the standard model become the global minima for surprisingly large charges, B>954 (m²=0.1). [ABSTRACT FROM AUTHOR]
- Published
- 2022
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