The anomalous Hall effect (AHE) has been extensively studied in terms of its diverse and profound physics, but the AHE behavior under spatially rotated external fields has not been well understood yet. Here, we selected a traditional CoFeB-based multilayer film as the platform, and by continuously tuning its magnetic anisotropy, we have observed the progressively evolved angular-dependence of the AHE, in which an abnormal turning peak emerged in the case of moderate perpendicular magnetic anisotropy (PMA). By applying comprehensive micromagnetic simulations, a general model was established that can almost fully account for the existing trend of the angular AHE. The PMA magnitude, together with the multi-to-single domain transformation, determined the final behavior of the AHE at various magnetic-field-tilt angles. Notably, we identified a close relationship between the angular-Hall anomaly and formation of magnetic skyrmions, which can possibly offer an alternative method to detect the skyrmions.

中文翻译：

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角相关霍尔效应的异常峰值作为垂直磁各向异性系统中斯格明子的指标

反常霍尔效应 (AHE) 因其多样而深刻的物理学而被广泛研究，但在空间旋转外场下的 AHE 行为尚未得到很好的理解。在这里，我们选择了传统的基于 CoFeB 的多层薄膜作为平台，通过不断调整其磁各向异性，我们观察到 AHE 逐渐演化的角度依赖性，其中在中等垂直磁场的情况下出现异常转向峰。各向异性 (PMA)。通过应用全面的微磁模拟，建立了一个几乎可以完全解释角 AHE 现有趋势的通用模型。PMA 幅度与多域到单域的转换一起决定了 AHE 在各种磁场倾斜角下的最终行为。尤其，