2020 Fiscal Year Annual Research Report
Anomaly-based classification of quantum phases in the presence of symmetries
| Project/Area Number |
19J13783
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| Research Institution | The University of Tokyo |
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Principal Investigator |
YAO YUAN 東京大学, 理学系研究科, 特別研究員(DC2)
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| Project Period (FY) |
2019-04-25 – 2021-03-31
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| Keywords | Anomaly / symmetries / boundary / parastatistics |
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| Outline of Annual Research Achievements |
1) Generalized boundary condition applied to Lieb-Schultz-Mattis type ingappabilities and many-body Chern numbers [Published on PRX 10, 031008] A generalized boundary condition is developed to study ingappability.
2) Particle-hole symmetry breaking in a spin-dimer system TlCuCl3 observed at 100 T [Published on PRL 125, 267207]
3) Twisted boundary condition and Lieb-Schultz-Mattis ingappability for discrete symmetries [Accepted by PRL] We generalize the ingappability theorem to discrete symmetries by a symmetry-twisting method.
4) Parafermionization, bosonization, and critical parafermionic theories [Accepted by JHEP] Parafermionic systems are systematically analyzed and the parafermionic critical theories are systematically formulated.
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| Research Progress Status |
令和2年度が最終年度であるため、記入しない。
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| Strategy for Future Research Activity |
令和2年度が最終年度であるため、記入しない。
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