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Transverse instabilities of stripe domains in magnetic thin films with perpendicular magnetic anisotropy

机译：具有垂直磁各向异性的磁性薄膜中的磁畴的横向不稳定性

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摘要

Stripe domains are narrow, elongated, reversed regions that exist in magnetic materials with perpendicular magnetic anisotropy. They appear as a pair of domain walls that can exhibit topology with a nonzero chirality. Recent experimental and numerical investigations identify an instability of stripe domains along the long direction as a means of nucleating isolated magnetic skyrmions. Here, the onset and nonlinear evolution of transverse instabilities for a dynamic stripe domain known as the bion stripe are investigated. Both nontopological and topological variants of the bion stripe are shown to exhibit a long-wavelength transverse instability with different characteristic features. In the former, small transverse variations in the stripe's width lead to a neck instability that eventually pinches the nontopological stripe into a chain of two-dimensional breathers composed of droplet soliton pairs. In thelatter case, small variations in the stripe's center result in a snake instability whose topological structure leads to the nucleation of dynamic magnetic skyrmions and antisky rmions as well as perimeter-modulated droplets. Quantitative, analytical predictions for both the early, linear evolution and the long-time, nonlinear evolution are achieved using an averaged Lagrangian approach that incorporates both exchange (dispersion) and anisotropy (nonlinearity). The method of analysis is general and can be applied to other filamentary structures.
机译：条带域是存在于具有垂直磁各向异性的磁性材料中的狭窄，细长，反向区域。它们显示为一对畴壁，可以显示具有非零手性的拓扑。最近的实验和数值研究表明，长条状磁畴的不稳定性是成核孤立的磁性天rm的一种手段。在这里，研究了动态条纹区域（称为“生物结合体”条纹）的横向不稳定性的发生和非线性演化。仿生条纹的非拓扑变体和拓扑变体均显示出具有不同特征的长波横向不稳定性。在前者中，条纹宽度的较小横向变化会导致颈部不稳定，最终将非拓扑条纹捏成由液滴孤子对组成的二维通气链。在其他情况下，条带中心的微小变化会导致蛇形不稳定，其蛇形结构会导致动态磁性天体和抗天体的核以及周边调制的液滴成核。使用合并交换（离散）和各向异性（非线性）的平均拉格朗日方法，可以实现早期线性演化和长期非线性演化的定量分析预测。分析方法是通用的，可以应用于其他丝状结构。

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  • 来源
    《Physical review. B, Condensed Matter And Materals Physics》 |2018年第10期|104428.1-104428.12|共12页
  • 作者

    Max E. Ruth; Ezio Iacocca; Panayotis G. Kevrekidis; Mark A. Hoefer;

  • 作者单位

    Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309, USA;

    Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309, USA,Department of Physics, Division for Theoretical Physics, Chalmers University of Technology, 412 96 Gothenburg, Sweden;

    Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003, USA;

    Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309, USA;

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