Anomaly-based classification of quantum phases in the presence of symmetries

存在对称性时基于异常的量子相分类

• 批准号: 19J13783
• 负责人: YAO YUAN
• 金额: $ 1.09万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for JSPS Fellows
• 财政年份: 2019
• 资助国家: 日本
• 起止时间: 2019-04-25 至 2021-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-19J13783/
• 关键词: Anomaly; symmetries; boundary; parastatistics; criticality; ultracold atom; Anomaly; symmetries; boundary; parastatistics; criticality; ultracold atom

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.

1）适用于Lieb-Schultz-Mattis类型的插入性和多体Chern号的广义边界条件[在PRX 10，031008上发表]，开发了一种广义边界条件，以研究Ingappility。2）粒子孔对称性破坏在Spin-Dimer System TLCucl3中在PRL 125，267 twistiis twistiis twistib sespier tlcucl3中的颗粒 - 孔孔中的断裂，3）扭曲的谎言。对于离散的对称性[被PRL接受]，我们将不合同性定理推广到通过对称的方法进行离散对称的方法。4）副称，隆隆化和关键的偏fermionic理论[被JHEP] parafermionic Systems进行了系统性地分析和偏头式的形式。