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Observation of higher-order non-Hermitian skin effect

Zhang, Xiujuan, Tian, Yuan, Jiang, Jian-Hua, Lu, Ming-Hui, Chen, Yan-Feng·2021·Nature Communications
DOI 10.1038/s41467-021-25716-yPMC PMC8433224

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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.

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  • The dimensional transposition of the one-dimensional two-particle chain yields a synthetic lattice with nonreciprocal couplings in both the x and y directions, indicating high-order skin corner modes.

    “As a result of this dimensional transposition, we observe the formation of a synthetic lattice that exhibits nonreciprocal couplings in both the x and y directions, indicating the existence of the high-order skin corner modes88,89,90,91.”

    From Non-Hermitian interacting quantum walks of correlated photons (2025) · cites this paper as [91]

    The Results section (‘Spinful HOTIs and the higher-order non-Hermitian skin effect’; page unavailable) describes direction-dependent couplings in a two-dimensional sonic crystal and corner-localized skin modes when both x and y boundaries are opened. It does not describe dimensional transposition of a one-dimensional two-particle chain or a synthetic lattice produced by that transposition. (LLM, conf=0.86)

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Metadata

Authors
Zhang, X., Tian, Y., Jiang, J.-H., Lu, M.-H., & Chen, Y.-F.
Venue
Nature Communications
Publisher
Springer Science and Business Media LLC
Published
2021-09-10
Volume
12
Issue
1
ISSN
2041-1723
DOI
10.1038/s41467-021-25716-y
PMC
PMC8433224
Cited by
334
References
5
Language
en
Licence
Funders
  • National Natural Science Foundation of China (11890700, 51732006)
  • Fundamental Research Funds for the Central Universities

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