Observation of higher-order non-Hermitian skin effect

Xiujuan Zhang, Yuan Tian, Jian-Hua Jiang (), Ming-Hui Lu () and Yan-Feng Chen ()
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Xiujuan Zhang: National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University
Yuan Tian: National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University
Jian-Hua Jiang: School of Physical Science and Technology, and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University
Ming-Hui Lu: National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University
Yan-Feng Chen: National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University

Nature Communications, 2021, vol. 12, issue 1, 1-8

Abstract: Abstract Beyond the scope of Hermitian physics, non-Hermiticity fundamentally changes the topological band theory, leading to interesting phenomena, e.g., non-Hermitian skin effect, as confirmed in one-dimensional systems. However, in higher dimensions, these effects remain elusive. Here, we demonstrate the spin-polarized, higher-order non-Hermitian skin effect in two-dimensional acoustic higher-order topological insulators. We find that non-Hermiticity drives wave localizations toward opposite edges upon different spin polarizations. More interestingly, for finite systems with both edges and corners, the higher-order non-Hermitian skin effect leads to wave localizations toward two opposite corners for all the bulk, edge and corner states in a spin-dependent manner. We further show that such a skin effect enables rich wave manipulation by configuring the non-Hermiticity. Our study reveals the intriguing interplay between higher-order topology and non-Hermiticity, which is further enriched by the pseudospin degree of freedom, unveiling a horizon in the study of non-Hermitian physics.

Date: 2021
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DOI: 10.1038/s41467-021-25716-y

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