磁有序电子材料的拓扑分类与诊断
Topological classification and diagnosis in magnetically ordered electronic materials
摘要：
我们发现，组合物的时间反演和空间对称性，也被称为磁空间群对称性，保护拓扑不变量以及表面状态，是不同于所有先前的拓扑状态。我们得到，通过明确和详尽的建设，拓扑分类的电子带绝缘体，磁有序的1421个磁空间群在三维空间中的每一个。我们还计算了每个非平凡类的基于对称性的指标，并通过这样做，建立了从对称表示到拓扑不变量的完整映射。
英文摘要：
We show that compositions of time-reversal and spatial symmetries, also known as the magnetic-space-group symmetries, protect topological invariants as well as surface states that are distinct from those of all preceding topological states. We obtain, by explicit and exhaustive construction, the topological classification of electronic band insulators that are magnetically ordered for each one of the 1421 magnetic space groups in three dimensions. We have also computed the symmetry-based indicators for each nontrivial class, and, by doing so, establish the complete mapping from symmetry representations to topological invariants.
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