二维周期基底上斯格明子操控中的共度效应对斯格明子霍尔角和拖曳的影响
Commensuration Effects on Skyrmion Hall Angle and Drag for Manipulation of Skyrmions on Two-Dimensional Periodic Substrates
AI总结：
本研究探讨二维周期基底上斯格明子动力学，发现共度填充导致霍尔角为零、速度提升，非共度填充则无序，并绘制了动态相图。
摘要：
我们研究了单个驱动的斯格明子在背景斯格明子晶格中运动，该晶格与二维周期基底耦合，当我们改变斯格明子数量与钉扎位点数量之比，跨越共度和非共度条件时，其动力学行为。随着斯格明子密度的增加，斯格明子霍尔角呈非单调变化，在共度态中降至低值或零值，而在非共度态中升至增强值。在共度条件下，被驱动的斯格明子沿钉扎阵列的对称方向被引导，并表现出更高的速度。在斯格明子霍尔角为零的填充率下，速度波动具有窄带特征，而在非共度填充率下，斯格明子运动无序，速度噪声为宽带。在共度条件下，出现多步去钉扎转变，斯格明子霍尔角在低驱动下为零，但在较高驱动下变为有限值，而非共度填充则具有单一去钉扎转变。随着马格努斯力的增加，共度速度峰转变为谷，并出现新的方向锁定角。在大的马格努斯力下，特别是在共度填充率下，由于马格努斯诱导速度与驱动方向对齐，可能出现速度提升，斯格明子运动速度超过施加的驱动速度。增加马格努斯力可以产生增强钉扎的区域，当斯格明子被迫沿周期钉扎阵列的非对称方向运动时。这与随机钉扎系统形成对比，在随机钉扎系统中，增加马格努斯力通常会降低钉扎效应。我们针对方形和三角形基底展示了这些动力学，并在系列动态相图中，根据填充率、钉扎力和马格努斯力强度绘制了不同区域。
英文摘要：
We examine the dynamics of an individually driven skyrmion moving through a background lattice of skyrmions coupled to a 2D periodic substrate as we vary the ratio of the number of skyrmions to the number of pinning sites across commensurate and incommensurate conditions. As the skyrmion density increases, the skyrmion Hall angle is nonmonotonic, dropping to low or zero values in commensurate states and rising to an enhanced value in incommensurate states. Under commensuration, the driven skyrmion is channeled by a symmetry direction of the pinning array and exhibits an increased velocity. The velocity fluctuations have a narrow band signature at fillings where the skyrmion Hall angle is zero, while for incommensurate fillings, the skyrmion motion is disordered and the velocity noise is broad band. Under commensurate conditions, multi-step depinning transitions appear and the skyrmion Hall angle is zero at low drives but becomes finite at higher drives, while incommensurate fillings have a single depinning transition. As the Magnus force increases, commensuration velocity peaks cross over to dips, and new directional locking angles appear. At large Magnus forces, particularly at commensurate fillings, a velocity boost can occur in which the skyrmion moves faster than the applied drive due to the alignment of the Magnus-induced velocity with the driving direction. Increase the Magnus force can produce regimes of enhanced pinning when the skyrmion is forced to move along a non-symmetry direction of the periodic pinning array. This is in contrast to systems with random pinning, where increasing the Magnus force generally reduces the pinning effect. We demonstrate these dynamics for both square and triangular substrates, and map out the different regimes as a function of filling fraction, pinning force, and the strength of the Magnus force in a series of dynamic phase diagrams.
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