Non-Hermitian Topological Phenomena: A Review
Non-Hermitian Topological Phenomena: A Review
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DOI：
10.1146/annurev-conmatphys-040521-033133
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发表时间：
2022-05
影响因子：
22.6
通讯作者：
N. Okuma;Masatoshi Sato
中科院分区：
文献类型：
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作者：
N. Okuma;Masatoshi Sato
在过去的几十年里，人们对拓扑材料的兴趣激增，许多数学概念被引入到凝聚态物理中。其中，体-边界对应是拓扑物理的中心课题，激发了人们对边界物理的研究。最近，拓扑相的概念已被扩展到非厄米特哈密顿，其特征值可以是复杂的。除了拓扑结构，非厄米性还可以导致称为非厄米趋肤效应的边界现象，这是光谱对边界条件的极端敏感性。在本文中，我们主要关注边界问题来回顾非埃尔米特拓扑物理学的发展。以及非厄米和拓扑边界现象之间的竞争，我们讨论了非厄米本身固有的拓扑性质。预计最终在线出版日期为凝聚态物理年度评论，第14卷是2023年3月。请访问http://www.annualreviews.org/page/journal/pubdates了解修订后的估计数。
The past decades have witnessed an explosion of interest in topological materials, and a lot of mathematical concepts have been introduced in condensed matter physics. Among them, the bulk-boundary correspondence is the central topic in topological physics, which has inspired researchers to focus on boundary physics. Recently, the concepts of topological phases have been extended to non-Hermitian Hamiltonians, whose eigenvalues can be complex. Besides the topology, non-Hermiticity can also cause a boundary phenomenon called the non-Hermitian skin effect, which is an extreme sensitivity of the spectrum to the boundary condition. In this article, we review developments in non-Hermitian topological physics by focusing mainly on the boundary problem. As well as the competition between non-Hermitian and topological boundary phenomena, we discuss the topological nature inherent in non-Hermiticity itself. Expected final online publication date for the Annual Review of Condensed Matter Physics, Volume 14 is March 2023. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.