论文标题
在非热拓扑系统中，国家依赖性拓扑不变和异常散装对应关系
State-dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
论文作者
论文摘要
非热式（NH）拓扑系统中庞大的对应关系的崩溃是一个开放的，有争议的问题。在本文中，为了解决此问题，我们提出以下问题：（全球）拓扑不变能否完全将NH系统的拓扑特性描述为其Hermitian对应物？我们的答案是否定的。一个人不能使用全球拓扑不变（包括非Bloch拓扑不变性）来准确表征NH系统的拓扑特性。取而代之的是，存在一种新型的拓扑不变性，它们在其Hermitian对应物中缺席 - 国家依赖的拓扑不变。借助国家依赖性的拓扑不变性，我们为NH拓扑系统开发了一种新的拓扑理论，超越了常规遗体系统的一般知识，并获得了批量结合对应关系的精确表述，包括州依赖性相位图，依赖于州依赖性的相位过渡和异常运输特性（自发性拓扑当前）。因此，这些结果将有助于人们了解各种非热系统的外来拓扑特性。
The breakdown of the bulk-boundary correspondence in non-Hermitian (NH) topological systems is an open, controversial issue. In this paper, to resolve this issue, we ask the following question: Can a (global) topological invariant completely describe the topological properties of a NH system as its Hermitian counterpart? Our answer is no. One cannot use a global topological invariant (including non-Bloch topological invariant) to accurately characterize the topological properties of the NH systems. Instead, there exist a new type of topological invariants that are absence in its Hermitian counterpart -- the state dependent topological invariants. With the help of the state-dependent topological invariants, we develop a new topological theory for NH topological system beyond the general knowledge for usual Hermitian systems and obtain an exact formulation of the bulk-boundary correspondence, including state-dependent phase diagram, state-dependent phase transition and anomalous transport properties (spontaneous topological current). Therefore, these results will help people to understand the exotic topological properties of various non-Hermitian systems.
