【报告题目】：Fractional Chern insulator states in hyperbolic lattices
【报告人】: 何爱垒副教授，扬州大学物理科学与技术学院
【报告时间】：2025年6月6日上午09:00
【报告地点】：29-414
【报告摘要】：Fractional Chern insulators (FCIs) have attracted intensive attention for the realization of fractional quantum Hall states in the absence of an external magnetic field. Most FCIs have been proposed in two-dimensional Euclidean lattice models with various boundary conditions.
In this talk, I will present our recent research on the hyperbolic FCIs which are the FCI states extended in the hyperbolic geometry with constant negative curvature. I will talk about topological flat bands constructed in the hyperbolic kagome lattice and the hyperbolic Haldane model. Through the studies on these topological flat band models with hard-core bosons loaded, we find convincing numerical evidences of the FCI. According to the edge excitations and trial many-body wave functions, this FCI can be identified. Intriguingly, the intrinsic geometry in FCIs can be revealed.
References：
[1]Ai-Lei He, Lu Qi, Yongjun Liu, Yi-Fei Wang, Phys. Rev. B 110, 195113 (2024).
[2]Dong-Hao Guan, Lu Qi, Yuan Zhou, Ai-Lei He, Yi-Fei Wang, Phys. Rev. B 111, 165144 (2025).
[3]Dong-Hao Guan, Yuan Zhou, Ai-Lei He, Yi-Fei Wang, submitted to PRB.
【报告人简介】：何爱垒，扬州大学物理科学与技术学院副教授。2016年于浙江师范大学获得硕士学位，2019年于南京大学获得博士学位，2019-2021年在清华大学高等研究院从事博士后研究工作，2021年进入扬州大学物理学院工作。研究方向为强关联物理和拓扑物态，近期主要关注强关联体系中的拓扑序与分数化，非欧几何中的拓扑物态与强关联物理，二维材料的拓扑特性等。已在Physical Review系列期刊发表学术论文20余篇，主持国家自然科学基金青年项目、中国博士后面上基金项目各1项。
