论文标题
长度尺度独立的天空和梅隆大厅角度
Length-scale independent skyrmion and meron Hall angles
论文作者
论文摘要
受到最近观察的动机[Zeissler等人，自然通讯。 11，428（2020）]的神秘半径独立的Skyrmion Hall角度，在手性磁铁中，我们基于最新的Skyrmion Hall角，基于最近由Dzyaloshinskii-Moriya相互作用强度和施加磁场确定的Skyrmions的最新溶液，其唯一长度尺度的特征。我们发现Skyrmion Hall角度独立于输入电流密度和确定天空半径的长度尺度。这是用单个长度量表依赖性的Skyrmion曲线佐证的，这是磁性磁化表代表磁化的Euler方程的解。尽管霍尔角度的大小可能随着天空的轮廓（形状）的变化而变化，但对于特定的轮廓，它保持不变。通过沿相互垂直方向的可调电流的应用，该特性使我们能够提出一个实验设置，通过该设置可以限制天空的横向运动，以便Skyrmion只能纵向遍历。我们进一步发现，梅隆的长度尺度和输入密度独立的霍尔角在其中，其横向运动将相反，具体取决于其中心的旋转是否向上还是向下，与实验一致。
Motivated by the recent observation [Zeissler et al, Nature Comm. 11, 428 (2020)] of enigmatic radius-independent skyrmion Hall angle in chiral magnets, we derive skyrmion Hall angle based on the recent solution of skyrmions characterized by the sole length scale determined with the Dzyaloshinskii-Moriya interaction strength and applied magnetic field. We find that the skyrmion Hall angle is independent of input current density and the length-scale which determines the radius of a skyrmion.This is corroborated with the single length-scale dependent skyrmion profile which is the solution of the Euler equation of polar angle representing magnetization. Although the magnitude of Hall angle may change with the change of profile (shape) of the skyrmion, it remains unchanged for a particular profile. With the application of tunable current along mutually perpendicular directions, this property enables us to propose an experimental setup by which the transverse motion of a skyrmion can be restricted so that the skyrmion can only traverse longitudinally. We further find the length-scale and input-current density independent Hall angles for merons where their transverse motion will be opposite depending on whether the spin at their centers are up or down, in agreement with an experiment.
