Quasi-particles described by Green's functions of equilibrium systems exhibit non-Hermitian topological phenomena because of their finite lifetime. This non-Hermitian perspective on equilibrium systems provides new insights into correlated systems and attracts much interest because of its potential to solve open questions in correlated compounds. In this paper, we provide a concise review of the non-Hermitian topological band structures for quantum many-body systems in equilibrium as well as their classification.

中文翻译：

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平衡中强相关系统的异常带接触

由平衡系统的格林函数描述的准粒子由于其有限的寿命而表现出非厄米拓扑现象。这种关于平衡系统的非厄米观点提供了对相关系统的新见解，并吸引了很多兴趣，因为它有可能解决相关化合物中的开放问题。在本文中，我们简要回顾了处于平衡状态的量子多体系统的非厄米拓扑能带结构及其分类。