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

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)广义边界条件应用于Lieb-Schultz-Mattis类型的不相容性和多体Chern数[发表于PRX 10，031008]开发了一种广义边界条件来研究不相容性。2）在100 T下观察到自旋二聚体系统TlCuCl 3中的粒子-空穴对称性破缺[发表于PRL 125，267207]3）扭曲边界条件与离散对称的Lieb-Schultz-Mattis可入性[PRL接受]我们用扭曲边界条件的方法将可入性定理推广到离散对称。4）仿费米化，玻色化，系统地分析了仿费米系统，系统地建立了仿费米临界理论。

项目成果

A generalized boundary condition applied on Lieb-Schultz-Mattis type ingappabilities and many-body Chern numbers

应用于 Lieb-Schultz-Mattis 型不可应用性和多体陈数的广义边界条件

• 发表时间: 2019
• 作者: Yao Yuan;Fukusumi Yoshiki;Yuan Yao and Akira Furusaki;Yuan Yao and Masaki Oshikawa;Yao Yuan;Yao Yuan
• 通讯作者: Yao Yuan

General Lieb-Schultz-Mattis ingappabilities beyond continuous symmetries

超越连续对称性的一般利布-舒尔茨-马蒂斯应用

• 发表时间: 2020
• 作者: Yao Yuan;Fukusumi Yoshiki;Yuan Yao and Akira Furusaki;Yuan Yao and Masaki Oshikawa
• 通讯作者: Yuan Yao and Masaki Oshikawa

Generalized Boundary Condition Applied to Lieb-Schultz-Mattis-Type Ingappabilities and Many-Body Chern Numbers

• DOI: 10.1103/physrevx.10.031008
• 发表时间: 2019-06
• 期刊: Physical Review X
• 影响因子: 12.5
• 作者: Yuan Yao;M. Oshikawa

Bosonization with a background U(1) gauge field

具有背景 U(1) 规范场的玻色化

• DOI: 10.1103/physrevb.100.075105
• 发表时间: 2019
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: Yao Yuan;Fukusumi Yoshiki
• 通讯作者: Fukusumi Yoshiki

Parafermionization, bosonization, and critical parafermionic chains

平铁米子化、玻色子化和关键的平铁米子链

• 发表时间: 2021
• 作者: Yao Yuan;Fukusumi Yoshiki;Yuan Yao and Akira Furusaki
• 通讯作者: Yuan Yao and Akira Furusaki