Baby Skyrmion crystals

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 $V=m^2(1-{\phi }^3)$ and the easy plane potential $V=\frac{1}{2}{m}^2({\phi }^1{)}^2$. In both models, the static energy functional is minimized over all $2$-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 $2B$ a perfect square ($m^2=1$). In contrast, we observe that hexagonal crystal chunks in the standard model become the global minima for surprisingly large charges, $B>954$ ($m^2=0.1$).

arXiv comment15 pages, 14 figures

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Cited by in corpus (8)

• Relations among topological solitons
• Skyrme crystals with massive pions
• Skyrmion crystals stabilized by $\omega$-mesons
• Manipulation and trapping of magnetic skyrmions with domain walls in chiral magnetic thin films
• Domain Wall Networks as Skyrmion Crystals in Chiral Magnets
• Baby Skyrmion in two-component holographic superfluids
• Baby skyrmion crystals stabilized by vector mesons
• Demagnetization in micromagnetics: magnetostatic self-interactions of bulk chiral magnetic skyrmions