标题： 在分数量子反常霍尔系统中识别任意子拓扑序 显示英文标题

标题： Identifying Anyonic Topological Order in Fractional Quantum Anomalous Hall Systems

摘要： 最近观察到的分数量子反常霍尔材料（FQAH）是拓扑量子硬件的候选材料，但它们所需的任意子态难以捉摸。 我们指出在2-上同伦中的脆弱能带拓扑中存在单值性依赖。 然后，Larmore & Thomas（1980）的一个代数拓扑定理在动量空间上识别了FQAH任意子。 可接受的编织相位是2C次单位根，其中C是陈数。 这为理解FQAH系统中的对称性保护拓扑序奠定了基础，将问题简化为等变上同伦中的计算。 显示英文摘要

摘要： Recently observed fractional quantum anomalous Hall materials (FQAH) are candidates for topological quantum hardware, but their required anyon states are elusive. We point out dependence on monodromy in the fragile band topology in 2-cohomotopy. An algebro-topological theorem of Larmore & Thomas (1980) then identifies FQAH anyons over momentum space. Admissible braiding phases are 2C-th roots of unity, for C the Chern number. This lays the foundation for understanding symmetry-protected topological order in FQAH systems, reducing the problem to computations in equivariant cohomotopy.