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DOI	10.1016/j.scib.2021.04.027
	Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity
	Xi W.; Zhang Z.-H.; Gu Z.-C.; Chen W.-Q.
发表日期	2021
ISSN	20959273
起始页码	1731
结束页码	1739
卷号	66 期号:17
英文摘要	Topological phases in non-Hermitian systems have become fascinating subjects recently. In this paper, we attempt to classify topological phases in 1D interacting non-Hermitian systems. We begin with the non-Hermitian generalization of the Su-Schrieffer-Heeger (SSH) model and discuss its many-body topological Berry phase, which is well defined for all interacting quasi-Hermitian systems (non-Hermitian systems that have real energy spectrum). We then demonstrate that the classification of topological phases for quasi-Hermitian systems is exactly the same as their Hermitian counterparts. Finally, we construct the fixed point partition function for generic 1D interacting non-Hermitian local systems and find that the fixed point partition function still has a one-to-one correspondence to their Hermitian counterparts. Thus, we conclude that the classification of topological phases for generic 1D interacting non-Hermitian systems is still exactly the same as Hermitian systems. © 2021 Science China Press
关键词	Non-Hermitian systems Strongly correlated systems Symmetry protected topological states Topological quantum field theory
英文关键词	Topology; Fixed points; Hermitians; Non-hermitian system; One-dimensional; Partition functions; Strongly correlated systems; Symmetry protected topological state; Topological phase; Topological quantum field theory; Unitarity; Quantum theory
语种	英语
来源期刊	Science Bulletin
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/207613
作者单位	Shenzhen Key Laboratory of Advanced Quantum Functional Materials and Devices, Southern University of Science and Technology, Shenzhen, 518055, China; Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology, Shenzhen, 518055, China; School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China; Department of Physics, The Chinese Uinversity of Hong Kong, Hong Kong, Hong Kong
推荐引用方式 GB/T 7714	Xi W.,Zhang Z.-H.,Gu Z.-C.,et al. Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity[J],2021,66(17).
APA	Xi W.,Zhang Z.-H.,Gu Z.-C.,&Chen W.-Q..(2021).Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity.Science Bulletin,66(17).
MLA	Xi W.,et al."Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity".Science Bulletin 66.17(2021).