Topological aspects of quantum many-body systems: Symmetry-protected ingappable phases and anomalies

在“拓扑晶体绝缘体和拓扑晶体的有效场论”（发表于 Phys. Rev. B）一书中，我们提出了一种获得拓扑晶体绝缘体有效场论的通用方法，其特征是对具有界面的空间相关质量参数的响应。在这些有效场论中确定了各种量化拓扑术语。特别是，我们的方法实现了降维过程，使得感兴趣的状态平滑地变形为拓扑晶体，作为一般分类中相的代表状态。

In the work "Effective field theories of topological crystalline insulators and topological crystals" (published in Phys. Rev. B), we presented a general approach to obtain effective field theories for topological crystalline insulators, characterized by the responses to spatially dependent mass parameters with interfaces. Various quantized topological terms are identified within these effective field theories. In particular, our approach implements the dimensional reduction procedure such that the state of interest is smoothly deformed into a topological crystal, which serves as a representative state of a phase in the general classification.