A large enough piece of ferromagnet is usually not magnetized uniformly, but develops a magnetization texture. In thin films these textures can be doubly-periodic. Such are the well known magnetic bubble domains and the recently observed “skyrmion” magnetization textures in MnSi. In this paper we develop a theory of periodic magnetization textures, based on complex calculus to answer the question – is there a difference between those two textures even if they seem to carry the same topological winding number (or topological charge)? We find that such difference exists, facilitated by a different role played by the magnetization vector’s in-plane phase. We separate classical-like and quantum-like features of magnetization textures and highlight the role of magnetic anisotropy in favouring either of these cases.

中文翻译：

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磁性斯格明子与磁性气泡有何不同？


一块足够大的铁磁体通常不会被均匀磁化，而是会形成磁化纹理。在薄膜中，这些纹理可以是双周期的。这就是众所周知的磁泡域和最近在 MnSi 中观察到的“斯格明子”磁化纹理。在本文中，我们开发了一种基于复杂微积分的周期性磁化纹理理论，以回答以下问题：即使这两种纹理似乎具有相同的拓扑绕数（或拓扑电荷），它们之间是否存在差异？我们发现这种差异是存在的，这是由磁化矢量的面内相位所扮演的不同角色所促成的。我们将磁化纹理的类经典特征和类量子特征分开，并强调磁各向异性在这两种情况中的作用。