Non-Hermitian Topological Invariants in Real Space

被引:382
作者
Song, Fei [1 ]
Yao, Shunyu [1 ,2 ]
Wang, Zhong [1 ]
机构
[1] Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China
[2] Stanford Univ, Stanford Inst Theoret Phys, Stanford, CA 94305 USA
关键词
EXCEPTIONAL POINTS; BOUND-STATES;
D O I
10.1103/PhysRevLett.123.246801
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The topology of non-Hermitian systems is drastically shaped by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence and non-Bloch band theory. The essential part in formulations of bulk-boundary correspondence is a general and computable definition of topological invariants. In this Letter, we introduce a construction of non-Hermitian topological invariants based directly on real-space wave functions, which provides a general and straightforward approach for determining non-Hermitian topology. As an illustration, we apply this formulation to several representative models of non-Hermitian systems, efficiently obtaining their topological invariants in the presence of non-Hermitian skin effect. Our formulation also provides a dual picture of the non-Bloch band theory based on the generalized Brillouin zone, offering a unique perspective of bulk-boundary correspondence.
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页数:8
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