| Project/Area Number |
19J13783
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|---|
| Research Category |
Grant-in-Aid for JSPS Fellows
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| Allocation Type | Single-year Grants |
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| Section | 国内 |
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| Review Section |
Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
|
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| Research Institution | The University of Tokyo |
|---|
Principal Investigator |
YAO YUAN 東京大学, 理学系研究科, 特別研究員(DC2)
|
|---|
| Project Period (FY) |
2019-04-25 – 2021-03-31
|
| Project Status |
Completed (Fiscal Year 2020)
|
| Budget Amount *help |
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 2020: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2019: ¥900,000 (Direct Cost: ¥900,000)
|
|---|
| Keywords | Anomaly / symmetries / boundary / parastatistics / criticality / ultracold atom |
|---|
| Outline of Research at the Start |
The criticalities of SU(N) critical ultracold atom chains and bilayer graphene will be described by conformal field theories. Based on their symmetry anomaly analyzed by Atiyah-Patodi-Singer index theorem, their critical phenomena are constrained and listed out to compare with experimental results.
|
| 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。
|
