AI 中文总结
本研究针对拥有双重简并节点的二维磁性外尔半金属，揭示其电霍尔效应的零温拓扑费米能标度及有限温对数修正标度，提出可实现弱电场传感的温度鲁棒机制。
AI 中文摘要
电霍尔效应（Electric Hall Effect, EHE）是二维（2D）磁性系统中的独特现象，指由垂直于平面的电场Ez产生霍尔电流的效应。本文中，我们证明对于拥有双重简并节点的二维磁性外尔半金属，其EHE具有多种非常规标度规律。在零温度下，EHE呈现拓扑性质的EF⁻¹费米能标度；值得注意的是，该标度的 prefactor（系数）由节点的全局拓扑电荷决定，与系统的局域参数无关，因此当费米能趋近外尔点时，任意种类外尔点的霍尔响应都会出现普适且显著的增强。这种显著响应可将弱电场直接转换为可测量的霍尔信号。令人惊讶的是，这种增强的霍尔响应不会因温度升高而减弱，反而在有限温度下演变为非常规的对数修正标度：对于弱Ez，σxy∝Ezln(1/|Ez|)，仍会产生发散的电场极化率。因此，本研究不仅揭示了磁性与拓扑相互作用产生的有趣标度规律，还提出了一种新型的、标度增强且对温度鲁棒的机制，该机制可通过实用的全电学路径实现弱电场传感。
英文摘要
Electric Hall Effect (EHE), a unique phenomenon in two-dimensional (2D) magnetic systems, refers to the generation of Hall current by an out-of-plane electric field $\Ez$. Here, we demonstrate that for 2D magnetic Weyl semimetals that host doubly degenerate nodal points, the EHE features multiple unconventional scaling laws. At zero temperature, the EHE exhibits a topological $E_F^{-1}$ Fermi-energy scaling. Remarkably, the prefactor of the scaling is determined by the global topological charge of the point without any dependence on the local parameters of the system, leading to a universal and significant enhancement of Hall response in any species of Weyl points as the Fermi energy approaches the Weyl point. This significant response enables a weak electric field to be directly converted into a measurable Hall signal. Surprisingly, this enhanced Hall response is not diminished by temperature, but evolves into an unconventional logarithmically corrected scaling at finite temperature $σ_{xy}\propto\Ez\ln(1/|\Ez|)$ for weak $\Ez$, still yielding a divergent electric-field susceptibility. Thus, our work not only unveils intriguing scaling laws resulting from the interaction between magnetism and topology, but also suggests a novel scaling-enhanced and temperature-robust mechanism that may enable weak electric-field sensing through a practical and all-electric route.
Comments6 pages, 4 figures
