Observation of non-Hermitian boundary induced hybrid skin-topological effect excited by synthetic complex frequencies

Tianshu Jiang (), Chenyu Zhang, Ruo-Yang Zhang, Yingjuan Yu, Zhenfu Guan, Zeyong Wei, Zhanshan Wang, Xinbin Cheng () and C. T. Chan ()
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Tianshu Jiang: Tongji University
Chenyu Zhang: Tongji University
Ruo-Yang Zhang: The Hong Kong University of Science and Technology
Yingjuan Yu: Tongji University
Zhenfu Guan: Tongji University
Zeyong Wei: Tongji University
Zhanshan Wang: Tongji University
Xinbin Cheng: Tongji University
C. T. Chan: The Hong Kong University of Science and Technology

Nature Communications, 2024, vol. 15, issue 1, 1-12

Abstract: Abstract The hybrid skin-topological effect (HSTE) has recently been proposed as a mechanism where topological edge states collapse into corner states under the influence of the non-Hermitian skin effect (NHSE). However, directly observing this effect is challenging due to the complex frequencies of eigenmodes. In this study, we experimentally observe HSTE corner states using synthetic complex frequency excitations in a transmission line network. We demonstrate that HSTE induces asymmetric transmission along a specific direction within the topological band gap. Besides HSTE, we identify corner states originating from non-chiral edge states, which are caused by the unbalanced effective onsite energy shifts at the boundaries of the network. Furthermore, our results suggest that whether the bulk interior is Hermitian or non-Hermitian is not a key factor for HSTE. Instead, the HSTE states can be realized and relocated simply by adjusting the non-Hermitian distribution at the boundaries. Our research has deepened the understanding of a range of issues regarding HSTE, paving the way for advancements in the design of non-Hermitian topological devices.

Date: 2024
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DOI: 10.1038/s41467-024-55218-6

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