2021 Fiscal Year Annual Research Report
Topological aspects of quantum many-body systems: Symmetry-protected ingappable phases and anomalies
| Project/Area Number |
19K14608
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| Research Institution | Institute of Physical and Chemical Research |
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Principal Investigator |
Hsieh ChangTse 国立研究開発法人理化学研究所, 創発物性科学研究センター, 基礎科学特別研究員 (70822146)
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| Project Period (FY) |
2019-04-01 – 2022-03-31
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| Keywords | TCI / Effective field theory / Topological crystal |
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| Outline of Annual Research Achievements |
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.
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