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Existence criteria for baby skyrmions for a wide range of potentials
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2020-07-01 , DOI: 10.1016/j.jmaa.2020.124039
Carlo Greco

Abstract Topologically stable field configurations are an important subject of study in various areas such as magnetism, condensed matter physics, nuclear physics, liquid crystals; in the baby Skyrme models (the two dimensional versions of the Skyrme model of nuclear physics) such structures are called baby skyrmions, and they have been widely studied by means of numerical methods. The aim of this paper is to give a simple criterion that guarantees the existence of skyrmions with unit topological charge for most baby Skyrme models considered in the literature. The proof of this criterion is purely analytic, and it is based on the concentration of the energy of minimizing sequences.

中文翻译:

具有广泛潜力的婴儿斯格明子的存在标准

摘要 拓扑稳定的场构型是磁学、凝聚态物理、核物理、液晶等各个领域的重要研究课题;在婴儿 Skyrme 模型(Skyrme 核物理模型的二维版本)中,这种结构被称为婴儿斯格米子,它们已经通过数值方法得到了广泛的研究。本文的目的是为文献中考虑的大多数婴儿 Skyrme 模型提供一个简单的标准,以保证具有单位拓扑电荷的 Skyrmion 的存在。这个标准的证明纯粹是解析的,它基于最小化序列的能量集中。
更新日期:2020-07-01
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