Kagome lattices host flat bands due to their frustrated lattice geometry, which leads to destructive quantum interference of electron wave functions. Here, we report imaging of the kagome flat band localization in real-space using scanning tunneling microscopy. We identify both the Fe₃Sn kagome lattice layer and the Sn₂ honeycomb layer with atomic resolution in kagome antiferromagnet FeSn. On the Fe₃Sn lattice, at the flat band energy determined by the angle resolved photoemission spectroscopy, tunneling spectroscopy detects an unusual state localized uniquely at the Fe kagome lattice network. We further show that the vectorial in-plane magnetic field manipulates the spatial anisotropy of the localization state within each kagome unit cell. Our results are consistent with the real-space flat band localization in the magnetic kagome lattice. We further discuss the magnetic tuning of flat band localization under the spin–orbit coupled magnetic kagome lattice model.

Kagome 晶格由于其受挫的晶格几何形状而拥有平带，这导致电子波函数的破坏性量子干涉。在这里，我们报告了使用扫描隧道显微镜在真实空间中对 kagome 平带定位的成像。我们在 kagome 反铁磁体 FeSn 中以原子分辨率识别了 Fe ₃ Sn kagome 晶格层和 Sn _{2蜂窝层。}在 Fe ₃Sn 晶格，在由角分辨光电子能谱确定的平带能量下，隧道光谱检测到一种异常状态，该状态独特地位于 Fe kagome 晶格网络中。我们进一步表明，矢量面内磁场操纵每个 kagome 晶胞内定位状态的空间各向异性。我们的结果与磁性 kagome 晶格中的实空间平带定位一致。我们进一步讨论了自旋轨道耦合磁 kagome 晶格模型下平带定位的磁调谐。