Topological aspects of quantum many-body systems: Symmetry-protected ingappable phases and anomalies

量子多体系统的拓扑方面：对称保护的不可应用相和异常

• 批准号: 19K14608
• 负责人: Hsieh ChangTse
• 金额: $ 2.25万
• 依托单位: Institute of Physical and Chemical Research (2020-2021)The University of Tokyo (2019)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Early-Career Scientists
• 财政年份: 2019
• 资助国家: 日本
• 起止时间: 2019-04-01 至 2022-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-19K14608/
• 关键词: 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 manybo

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.

在“拓扑结晶绝缘子和拓扑晶体的有效田间理论”（在Phys。BRev. b）中，我们提出了一种通用方法，以获得有效的拓扑结晶绝缘子理论，其特征在于对空间依赖质量参数的响应具有界面。在这些有效的领域理论中可以确定各种量化式术语。特别是，我们的方法实现了尺寸还原程序，因此感兴趣的状态会平稳变形为拓扑晶体，拓扑晶体是一般分类中一个相的代表状态。

项目成果

Massachusetts Institute of Technology(米国)

麻省理工学院（美国）

Anomaly Matching and Symmetry-Protected Criticality in 1d Quantum Many-body Systems

一维量子多体系统中的异常匹配和对称保护临界性

• 发表时间: 2019
• 作者: Funaki Tadahisa;Gao Yueyuan;Hilhorst Danielle;田島裕康;Chang-Tse Hsieh
• 通讯作者: Chang-Tse Hsieh

Discrete gauge anomalies revisited

• 发表时间: 2018-08
• 期刊: arXiv: High Energy Physics - Theory
• 作者: Chang-Tse Hsieh

Researchers uncover an anomaly...

研究人员发现了一个异常现象...

University of Maryland(米国)

马里兰大学（美国）