| Project/Area Number |
19K14608
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| Research Category |
Grant-in-Aid for Early-Career Scientists
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| Allocation Type | Multi-year Fund |
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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 | Institute of Physical and Chemical Research (2020-2021)
The University of Tokyo (2019) |
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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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| Project Status |
Discontinued (Fiscal Year 2021)
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| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2022: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2021: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | TCI / Effective field theory / Topological crystal / Quantum criticality / Conformal field theory / Majorana fermions / Quantum spin chains / Quantum anomalies / LSM theorem / SPT phases / Electromagnetic duality / Condensed matter theory / Quantum manybody systems / Topological phases |
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| Outline of Research at the Start |
To explore the low-energy physics of generic quantum many-body systems from topological aspects, in particular, by the idea of quantum anomalies. This enables us to have some fundamental insights about the phase diagrams of various physical systems based only on the kinematical data of the systems, such as the underlying degrees of freedom (e.g. spins and electrons) and symmetries. Results of this research project should provide a guiding principle for surveying general many-body systems and motivate further researches on more dynamical properties of those systems along this line.
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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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