Nodal Line Semimetal Fe$_3$GeTe$_2$ 在靠近局域化时的并发多重分形性与反常霍尔响应
Concurrent Multifractality and Anomalous Hall Response in the Nodal Line Semimetal Fe$_3$GeTe$_2$ Near Localization
AI总结：
本研究通过磁输运和扫描隧道光谱发现铁磁nodal line semimetal Fe$_3$GeTe$_2$在约15K下出现金属-绝缘转变、反常霍尔电导率饱和、零偏压凹陷及波函数多重分形等并发现象，揭示了与nodal line band能隙打开相关的新能量尺度。
摘要：
拓扑物质态对无序散射表现出独特的保护。不同的拓扑类别表现出不同形式和程度的保护。在这里，我们研究了铁磁nodal line semimetal Fe$_3$GeTe$_2$ 对无序和电子相互作用的响应。通过结合全局磁输运与原子尺度扫描隧道光谱，我们发现在约 15 K 的共同温度尺度以下，多种现象同时出现：纵向电阻率的温度依赖性从金属态转变为绝缘态，反常霍尔电导率饱和至其最大值，隧道态密度中形成尖锐的零偏压凹陷，以及在费米能级处达到峰值的电子波函数多重分形结构的涌现。这些并发现象反映了一种新能量尺度的出现，可能与 Fe$_3$GeTe$_2$ 的 nodal line band 中能隙的打开有关。我们的研究为无序、电子相互作用和Berry曲率在设定拓扑半金属的微观和宏观响应中的作用提供了全面见解。
英文摘要：
Topological states of matter exhibit unique protection against scattering by disorder. Different topological classes exhibit distinct forms and degrees of protection. Here, we investigate the response of the ferromagnetic nodal line semimetal Fe$_3$GeTe$_2$ to disorder and electronic interactions. By combining global magneto-transport with atomic-scale scanning tunneling spectroscopy we find a simultaneous onset of diverse phenomena below a common temperature scale of about 15 K: A crossover from metallic to insulating temperature dependence of the longitudinal resistivity, saturation of the anomalous Hall conductivity to its maximal value, formation of a sharp zero-bias dip in the tunneling density of state, and emergence of multi-fractal structure of the electronic wavefunction peaking at the Fermi energy. These concurrent observations reflect the emergence of a novel energy scale possibly related to the opening of a gap in the nodal line band of Fe$_3$GeTe$_2$. Our study provides overarching insight into the role of disorder, electronic interactions and Berry curvature in setting the micro- and macro-scale responses of topological semimetals.
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