It is commonly assumed that a lattice of skyrmions, emerging in two-dimensional noncentrosymmetric magnets in external magnetic fields, can be represented as a sum of three magnetic helices. To test this assumption, we compare two approaches to a description of a regular skyrmion structure. We construct (i) a lattice of Belavin-Polyakov-like skyrmions within the stereographic projection method and (ii) a deformed triple helix defined with the use of elliptic functions. The estimates for the energy density and magnetic profiles show that these two ansatzes are nearly identical at zero temperature for intermediate magnetic fields. However, at higher magnetic fields, near the transition to a topologically trivial uniform phase, the stereographic projection method is preferable, particularly for the description of a disordered skyrmion liquid phase. We suggest exploring the intensities of secondary Bragg peaks to obtain additional information about the magnetic profile of individual skyrmions. We estimate these intensities to be several percent of the main Bragg peak at high magnetic fields.

中文翻译：

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二维非中心对称磁体中的三螺旋与Skyrmion晶格

通常假定，在外部磁场中出现在二维非中心对称磁体中的天体离子的晶格可以表示为三个磁螺旋的总和。为了验证这一假设，我们比较了两种描述常规天rm子结构的方法。我们在立体投影方法中构造（i）像Belavin-Polyakov一样的Skyrmion的晶格，以及（ii）使用椭圆函数定义的变形三重螺旋。能量密度和磁分布的估计表明，对于中间磁场，这两种温度在零温度下几乎相同。但是，在较高的磁场中，在过渡到拓扑上无关紧要的均匀相附近，优选使用立体投影法，特别是对于描述无序的Skyrmion液相而言。我们建议探索次级布拉格峰的强度，以获得有关单个天体的磁廓线的其他信息。我们估计这些强度是强磁场下布拉格主峰的百分之几。