用于区分 Karplus-Luttinger 起源与几何起源的驼峰形霍尔效应的角度依赖关系
Angular dependence of hump-shape Hall Effects for distinguishing between Karplus-Luttinger and Geometrical Origins
AI总结：
本文提出利用磁场旋转下驼峰峰值场的发散指数及其角度依赖，区分 Karplus-Luttinger 霍尔回线重叠与 Skyrmion 几何/拓扑霍尔效应，并以统一曲线连接两种机制。
摘要：
在凝聚态物理所研究的大量磁性异质结构中，关于驼峰形霍尔效应仍存在两种相互对立且模糊、有争议的解释：一种是与具有垂直各向异性的非均匀共线磁畴相关的两个符号相反的 Karplus-Luttinger 霍尔回线的重叠；另一种是由具有平滑变化非共线磁矩的 Skyrmion 基态的六方密排晶格所产生的几何/拓扑霍尔效应。二者在拓扑上的相似性意味着难以通过磁成像加以区分。本文通过对若干异质结构进行磁场旋转下的霍尔测量，并提取驼峰峰值磁场的发散指数，克服并澄清了这一模糊性。它们对面内磁场敏感性的差异表明，前一种机制比后一种机制涉及更高的单轴各向异性，并依据 triple-q 自旋波叠加的 Ginzburg-Landau 框架偏离了 Skyrmion 基态区域。众多材料体系可被归纳为一条发散指数相对于共线品质因子的单一曲线，从而衔接上述两种机制之间的交叉转变。
英文摘要：
Among the vast magnetic heterostructures explored in Condensed Matter Physics, two contrasting interpretations of the hump-shaped Hall Effects remain ambiguous and debated, namely, the overlap of two opposite-signed Karplus-Luttinger Hall loops associated with inhomogeneous collinear domains with perpendicular anisotropy, or the Geometrical/Topological Hall Effect emanated from hexagnal close-packed lattice of Skyrmion ground state with smoothly varying non-collinear moments. Their similarity in topology implies difficulty in discrimination via magnetic imaging. Here, this ambiguity is overcome and clarified by the divergence exponent of hump peak fields extracted from Hall measurements with magnetic field rotation on several heterostructures. Their difference in sensitivity to in-plane fields reveals that the former mechanism involves higher uniaxial anisotropy than the latter, departing from the Skyrmion ground state regime by the Ginzburg-Landau framework of triple-q spin-wave superposition. Numerous material systems can be summarized into a single curve of divergence exponent versus the collinear quality factor, bridging the crossover of the two mentioned mechanisms.
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