| 研究課題/領域番号 |
19K14608
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| 研究種目 |
若手研究
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| 配分区分 | 基金 |
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| 審査区分 |
小区分13010:数理物理および物性基礎関連
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| 研究機関 | 国立研究開発法人理化学研究所 (2020-2021)
東京大学 (2019) |
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研究代表者 |
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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| 研究期間 (年度) |
2019-04-01 – 2022-03-31
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| 研究課題ステータス |
中途終了 (2021年度)
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| 配分額 *注記 |
3,510千円 (直接経費: 2,700千円、間接経費: 810千円)
2022年度: 390千円 (直接経費: 300千円、間接経費: 90千円)
2021年度: 390千円 (直接経費: 300千円、間接経費: 90千円)
2020年度: 1,170千円 (直接経費: 900千円、間接経費: 270千円)
2019年度: 1,560千円 (直接経費: 1,200千円、間接経費: 360千円)
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| キーワード | 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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| 研究開始時の研究の概要 |
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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| 研究実績の概要 |
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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