AI 中文总结
本研究在笼目磁体中发现由标量手征自旋驱动的分形陈绝缘体，通过纳入电子相互作用与能带色散揭示其稳定条件，证明该类磁体是实现分形陈绝缘体的理想平台。
AI 中文摘要
分形陈绝缘体（Fractional Chern insulators, FCIs）是分数量子霍尔态的晶格对应物，无需外磁场即可出现。本研究展示了具有非共面磁序的笼目磁体中会出现FCI态，该非共面磁序会诱导有限的标量手征自旋。我们在模型中同时纳入电子-电子相互作用和能带色散效应，发现相较于能带色散更强的相互作用，能在更宽的标量手征自旋范围内稳定FCI态。我们通过计算与代表性态的重叠、确定基态简并度与热力学极限下的有限能隙，以及追踪多磁通量子插入下的谱流，对出现的FCI态进行表征。研究结果表明，具有标量手征自旋的笼目磁体有望成为实现FCIs的理想平台。
英文摘要
Fractional Chern insulators (FCIs) are the lattice analogs of the fractional quantum Hall states, emerging even without an external magnetic field. In this work, we demonstrate the emergence of the FCI states in a kagome magnet with a noncoplanar magnetic order that induces a finite scalar spin chirality. By incorporating in our model both electron-electron interactions and the effect of band dispersion, we find that stronger interactions relative to the band dispersion stabilize the FCI state over a broader range of scalar spin chirality. We characterize the emergent FCI state by calculating overlap with representative states, identifying the ground-state degeneracy and the finite energy gap in the thermodynamic limit, and tracking the spectral flow under multiple flux-quantum insertions. Our results suggest that kagome magnets with scalar spin chirality can be promising platforms for realizing FCIs.
Comments9 pages, 8 figures
