厄米矩阵
双层
拓扑(电路)
联轴节(管道)
物理
转化(遗传学)
相似性(几何)
材料科学
数学
量子力学
计算机科学
膜
化学
组合数学
生物化学
人工智能
冶金
图像(数学)
基因
作者
Xiaoxiao Wang,Ruizhe Gu,Yandong Li,Huixin Qi,Xiaoyong Hu,Xingyuan Wang,Qihuang Gong
标识
DOI:10.1007/s12200-023-00094-z
摘要
Abstract Nonreciprocal interlayer coupling is difficult to practically implement in bilayer non-Hermitian topological photonic systems. In this work, we identify a similarity transformation between the Hamiltonians of systems with nonreciprocal interlayer coupling and on-site gain/loss. The similarity transformation is widely applicable, and we show its application in one- and two-dimensional bilayer topological systems as examples. The bilayer non-Hermitian system with nonreciprocal interlayer coupling, whose topological number can be defined using the gauge-smoothed Wilson loop, is topologically equivalent to the bilayer system with on-site gain/loss. We also show that the topological number of bilayer non-Hermitian C 6v -typed domain-induced topological interface states can be defined in the same way as in the case of the bilayer non-Hermitian Su–Schrieffer–Heeger model. Our results show the relations between two microscopic provenances of the non-Hermiticity and provide a universal and convenient scheme for constructing and studying nonreciprocal interlayer coupling in bilayer non-Hermitian topological systems. This scheme is useful for observation of non-Hermitian skin effect in three-dimensional systems. Graphical Abstract
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