摘要 (Abstract) ：Despite the rapid progress in the field of topological states, most of the topological systems studied up to now are based on crystalline materials. Recently, the study of topological states was extended to aperiodic systems, such as quasicrystals and amorphous systems. In this talk, I will first briefly review crystalline topological states and the structural characteristic of quasicrystals. I will then discuss the generalization of topological states to quasicrystals which are characterized by newly defined real-space topological invariants. Furthermore, a generic orbital design of higher-order quasicrystalline insulators and an effective model for fractional topological corner modes in quasicrystals will also be discussed. In addition, I will discuss the possibility of structural amorphization-induced topological states.

报告人简介（Introduction）：

黄华卿博士，2011年本科毕业于清华大学数理基础科学班，2016年博士毕业于清华大学物理系。2016-2019年在犹他大学进行博士后研究。2020年加入北京大学理论物理研究所。主要从事凝聚态理论及计算研究，具体研究方向包括：周期性（晶体）和非周期体系（如准晶，无序材料）中的拓扑物态；新奇量子物态的第一性原理预测；电子结构(特别是多体效应)的理论计算方法发展等。在Phys. Rev. Lett., Nature Commun., Natl. Sci. Rev., Nano Lett.等学术刊物上发表论文69 篇；总他引超过3100 次。担任 Frontiers of physics 青年编委。