Kagome lattice materials have attracted growing interest for their topological properties and flatbands in electronic structure. We present a comprehensive study on the anisotropy and out-of-plane electric transport in ${\mathrm{Fe}}_3{\mathrm{Sn}}_2$, a metal with bilayer of Fe kagome planes and with massive Dirac fermions that features high-temperature noncollinear magnetic structure and magnetic skyrmions. For the electrical current path along the $c$ axis, in micron-size crystals, we found a large topological Hall effect over a wide temperature range down to spin-glass state. Twofold and fourfold angular magnetoresistance are observed for different magnetic phases, reflecting the competition of magnetic interactions and magnetic anisotropy in kagome lattice that preserve robust topological Hall effect for inter-kagome bilayer currents. This provides new insight into the anisotropy in ${\mathrm{Fe}}_3{\mathrm{Sn}}_2$, of interest in skyrmionic-bubble application-related micron-size devices.

中文翻译：

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Kagome 双层金属 Fe3Sn2 中的拓扑霍尔效应各向异性

Kagome 晶格材料因其在电子结构中的拓扑特性和平带而引起了越来越多的关注。我们对各向异性和面外电输运进行了综合研究${铁}_{\mathrm{3个}}{锡}_{\mathrm{2个}}$，一种具有双层 Fe kagome 平面和具有高温非共线磁结构和磁性斯格明子的大规模狄拉克费米子的金属。对于沿电流路径$C$轴，在微米大小的晶体中，我们发现在很宽的温度范围内，低至自旋玻璃态，存在大的拓扑霍尔效应。观察到不同磁相的两倍和四倍角磁阻，反映了 kagome 晶格中磁相互作用和磁各向异性的竞争，为 kagome 间双层电流保留了稳健的拓扑霍尔效应。这提供了对各向异性的新见解${铁}_{\mathrm{3个}}{锡}_{\mathrm{2个}}$，对与 skyrmionic 气泡应用相关的微米级设备感兴趣。