A second wave of topological phenomena in photonics and acoustics
Abstract
Light and sound are the most ubiquitous forms of waves, associated with a variety of phenomena and physical effects such as rainbows and echoes. Light and sound, both categorized as classical waves, have lately been brought into unexpected connections with exotic topological phases of matter. We are currently witnessing the onset of a second wave of active research into this topic. The past decade has been marked by fundamental advances comprising two-dimensional quantum Hall insulators and quantum spin and valley Hall insulators, whose topological properties are characterized using linear band topology. Here, going beyond these conventional topological systems, we focus on the latest frontiers, including non-Hermitian, nonlinear and non-Abelian topology as well as topological defects, for which the characterization of the topological features goes beyond the standard band-topology language. In addition to an overview of the current state of the art, we also survey future research directions for valuable applications.
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The lattice Hamiltonian of Eq. (1) can be written in reciprocal space as Eq. (2), which is a Yang-Mills Hamiltonian.
“The lattice Hamiltonian of Eq. ( 1) can be written in the reciprocal space as”
From Non-Abelian lattice gauge fields in photonic synthetic frequency dimensions (2025) · cites this paper as [26]
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- Authors
- Zhang, X., Zangeneh-Nejad, F., Chen, Z.-G., Lu, M.-H., & Christensen, J.
- Affiliations
- National Laboratory of Solid State Microstructures (CN)
- Nanjing University (CN)
- Madrid Institute for Advanced Studies (ES)
- Corresponding author
- Lu, Ming-Hui
- Christensen, Johan
- Venue
- Nature
- Published
- 2023-06-21
- Volume
- 618
- Issue
- 7966
- Pages
- 687-697
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W4381480946
- Cited by
- 240
- References
- 186
- Citations by year
- 2026: 55 · 2025: 96 · 2024: 76 · 2023: 13
- FWCI
- 5.14
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Physical Sciences › Engineering › Biomedical Engineering › Acoustic Wave Phenomena Research
- Keywords
- topological photonics, topological acoustics, topological phases, non-Hermitian topology, non-linear topology, topological defects, quantum Hall insulator, waveguide arrays
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