Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity

• 作者: Wenjie Xi Zhi-Hao Zhang Zheng-Cheng Gu Wei-Qiang Chen
• 来源期刊: 科学通报（英文版）
• 年，卷（期）: 2021,（17）
• 所属期刊栏目: ARTICLES
• 页码范围: 1731-1739
• 页数: 9页
• 语种: 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 topo-logical 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 con-struct 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 counter-parts.Thus,we conclude that the classification of topological phases for generic 1D interacting non-Hermitian systems is still exactly the same as Hermitian systems.