An intriguing issue of non-Hermitian systems is the fate of bulk-boundary correspondence. In this talk, I will show that a previously overlooked ``non-Hermitian skin effect'' necessitates a non-Bloch bulk-boundary correspondence, which is based on a complex-valued Brillouin zone. This generalization of bulk-boundary correspondence is illustrated in the non-Hermitian Su-Schrieffer-Heeger models and Chern insulator models. We analytically obtain their topological phase diagrams, which are dramatically different from those of the Bloch Hamiltonians. As a formulation of the non-Bloch bulk-boundary correspondence,  non-Bloch topological invariants are defined in the complex Brillouin zone (instead of the standard Brillouin zone with real-valued momentum), which faithfully predict the number of topological edge modes. Specifically, the chiral edge modes of two-dimensional non-Hermitian Chern bands are determined by the non-Bloch Chern numbers.

汪忠2001-2005年本科就读于中国科技大学，2005-2011年在科大近代物理系获得博士学位, 其中2010年在Stanford University联合培养。2011-2015年为清华大学高等研究院副研究员，现为研究员。近期主要研究方向为凝聚态物理中的拓扑现象以及强关联理论。