Skyrmion crystal phase on a magnetic domain wall in chiral magnets

Yuki Amari, Muneto Nitta
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Abstract

We study a magnetic domain wall in the ferromagnetic phase in chiral magnets in two dimensions with an in-plane easy-axis anisotropy and an out-of-plane Zeeman magnetic field, and find a chiral soliton lattice (spiral) phase beside a ferromegnetic phase inside the domain line, where the former represents a domain-wall skyrmion crystal from the bulk point of view. We first determine the phase diagram on the domain wall by numerically constructing domain wall solutions. We then analytically reproduce the phase diagram in a domain-wall theory (a chiral double sine-Gordon model) that we construct within the moduli approximation by treating the Zeeman magnetic field perturbatively. While we find good agreements between the phase diagrams of the numerical and effective theory methods, the numerical solution exhibits a decomposition of the topological charge into a bimeron which cannot be captured by the effective theory.
手性磁体磁畴壁上的 Skyrmion 晶体相
我们研究了具有平面内易轴各向异性和平面外泽曼磁场的二维手性磁体中铁磁相的磁畴壁,发现了畴线内的手性孤子晶格(螺旋)相和铁磁相,其中前者从体态角度代表了畴壁天幕晶体。我们首先通过数值构建畴壁溶液来确定畴壁上的相图。然后,我们通过对泽曼磁场的扰动处理,在模量近似法中构建的畴壁理论(手性双正弦-戈登模型)中分析重现了相图。虽然我们发现数值方法和有效理论方法的相图有很好的一致性,但数值解显示出拓扑电荷分解为双子电荷,而有效理论无法捕捉到这一点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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