The DOI matches its Crossref record; 86 of the 86 references it cites were found in a registry or an index.
Universal non-Hermitian skin effect in two and higher dimensions
Open accessAbstract
Skin effect, experimentally discovered in one dimension, describes the physical phenomenon that on an open chain, an extensive number of eigenstates of a non-Hermitian Hamiltonian are localized at the end(s) of the chain. Here in two and higher dimensions, we establish a theorem that the skin effect exists, if and only if periodic-boundary spectrum of the Hamiltonian covers a finite area on the complex plane. This theorem establishes the universality of the effect, because the above condition is satisfied in almost every generic non-Hermitian Hamiltonian, and, unlike in one dimension, is compatible with all point-group symmetries. We propose two new types of skin effect in two and higher dimensions: the corner-skin effect where all eigenstates are localized at corners of the system, and the geometry-dependent-skin effect where skin modes disappear for systems of a particular shape, but appear on generic polygons. An immediate corollary of our theorem is that any non-Hermitian system having exceptional points (lines) in two (three) dimensions exhibits skin effect, making this phenomenon accessible to experiments in photonic crystals, Weyl semimetals, and Kondo insulators.
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Cites
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Cited by
Observation of higher-order non-Hermitian skin effect
Zhang, X., Tian, Y., Jiang, J.-H., Lu, M.-H., & Chen, Y.-F. (2021) · Nature Communications · doi:10.1038/s41467-021-25716-y · Cited by 334
A second wave of topological phenomena in photonics and acoustics
Zhang, X., Zangeneh-Nejad, F., Chen, Z.-G., Lu, M.-H., & Christensen, J. (2023) · Nature · doi:10.1038/s41586-023-06163-9 · Cited by 240
Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
Cheng, D., Lustig, E., Wang, K., & Fan, S. (2023) · Light: Science & Applications · doi:10.1038/s41377-023-01196-1 · Cited by 43
Quantum walks of correlated photons in non-Hermitian photonic lattices
Gao, M., Sheng, C., Zhao, Y., He, R., Lu, L., Chen, W., Ding, K., Zhu, S., & Liu, H. (2024) · Physical Review B · doi:10.1103/physrevb.110.094308 · Cited by 16
Metadata
- Authors
- Zhang, K., Yang, Z., & Fang, C.
- Venue
- Nature Communications
- Published
- 2022-05-06
- Volume
- 13
- Issue
- 1
- Pages
- 2496-2496
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W4229074912
- Cited by
- 417
- References
- 86
- FWCI
- 34.97
- Type
- journal article
- Language
- en
- Open access
- gold
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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