论文标题
在二维非中心对称磁铁中的三螺旋与天空晶格
Triple helix vs. skyrmion lattice in two-dimensional non-centrosymmetric magnets
论文作者
论文摘要
通常认为，在外部磁场中在二维非中心磁对中出现的Skyrmions的晶格可以表示为三个磁性螺旋的总和。为了测试此假设，我们将两种方法与常规天际结构的描述进行了比较。我们在立体投影方法中构造了（i）Belavin-Polyakov样天空的晶格，以及（ii）使用椭圆函数定义的变形三重螺旋。能量密度和磁轮廓的估计表明，在中间磁场的零温度下，这两个ansatz几乎相同。然而，在较高的磁场，在向拓扑均匀统一相的过渡附近，立体投影方法是可取的，尤其是对于无序的天际液相描述。我们建议探索次级布拉格峰的强度，以获取有关单个天空磁性曲线的其他信息。我们估计，这些强度是高磁场下主要bragg峰的几个percent。
It is commonly assumed that a lattice of skyrmions, emerging in two-dimensional non-centrosymmetric magnets in external magnetic fields, can be represented as a sum of three magnetic helices. In order to test this assumption we compare two approaches to a description of 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 topologically trivial uniform phase, the stereographic projection method is preferable, particularly, for the description of disordered skyrmion liquid phase. We suggest to explore the intensities of the secondary Bragg peaks to obtain the additional information about the magnetic profile of individual skyrmions. We estimate these intensities to be several percents of the main Bragg peak at high magnetic fields.
