Baby Skyrmion crystals
Baby Skyrmion crystals
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DOI：
10.1103/physrevd.105.025010
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发表时间：
2021-11
影响因子：
5
通讯作者：
P. Leask
中科院分区：
文献类型：
--
作者：
P. Leask
本文通过考虑晶体块体和表面的能量贡献，建立了具有任意势能的Skyrme晶体块体模型。我们重点讨论了产生不同Skyrme晶格的两种电位：标准电位V = m（1−φ）和简单平面电位V = 1.2 m（φ）。在这两种模型中，静态能量泛函在所有二维周期晶格上都是最小的，从而产生最小的能量晶体结构。对于标准电位，Skyrmions形成六角形晶体结构，而对于易平面电位，最小能量晶体结构是半电荷块的方形晶格。我们发现，当2B为完全平方（m = 1）时，在易平面模型中，正方形晶体块是电荷b>6的全局最小值。相比之下，我们观察到标准模型中的六方晶体块在惊人的大电荷B > 954 （m = 0.1）下成为全局最小值。
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(1 − φ) and the easy plane potential V = 1 2 m(φ). In both models, the static energy functional is minimized over all 2dimensional 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 = 1). In contrast, we observe that hexagonal crystal chunks in the standard model become the global minima for surprisingly large charges, B > 954 (m = 0.1).