Spectral level repulsion and Lifshitz-like states in hyperuniform disordered photonic networks

Nicoletta Granchi; Gabriele Calusi; Kris Stokkereit; Matteo Lodde; Camilla Gonzini; René P. J. Van Veldhoven; Andrea Fiore; Marian Florescu; Francesca Intonti

doi:10.1038/s41377-026-02335-0

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Spectral level repulsion and Lifshitz-like states in hyperuniform disordered photonic networks

Original Articles

- Spectral level repulsion and Lifshitz-like states in hyperuniform disordered photonic networks
- Spectral level repulsion and Lifshitz-like states in hyperuniform disordered photonic networks
- Light: Science & Applications 2026年15卷第8期页码：2745-2755
- Affiliations：
  
  1.Department of Physics and Astronomy and LENS, University of Florence, Firenze, Italy
  2.Advanced Technology Institute and Department of Physics, University of Surrey, Guildford, UK
  3.Department of Applied Physics and Science Education, Eindhoven University of Technology, Eindhoven, The Netherlands
  4.Optoelectronics Research Centre, University of Southampton, Southampton, UK
- Author bio：
  
  Nicoletta Granchi (nicoletta.granchi@unifi.it)
- Funds：
- DOI：10.1038/s41377-026-02335-0
  中图分类号：
- 收稿：2025-10-15，
  
  修回：2026-04-09，
  
  录用：2026-04-24，
  
  网络首发：2026-05-20，
  
  纸质出版：2026-08-31
- Accepted：
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Nicoletta Granchi, Gabriele Calusi, Kris Stokkereit, 等. Spectral level repulsion and Lifshitz-like states in hyperuniform disordered photonic networks[J]. Light: Science & Applications, 2026,15(8):2745-2755.

Granchi, N. et al. Spectral level repulsion and Lifshitz-like states in hyperuniform disordered photonic networks. Light: Science & Applications, 15, 2745-2755 (2026).
Nicoletta Granchi, Gabriele Calusi, Kris Stokkereit, 等. Spectral level repulsion and Lifshitz-like states in hyperuniform disordered photonic networks[J]. Light: Science & Applications, 2026,15(8):2745-2755. DOI： 10.1038/s41377-026-02335-0.

Granchi, N. et al. Spectral level repulsion and Lifshitz-like states in hyperuniform disordered photonic networks. Light: Science & Applications, 15, 2745-2755 (2026). DOI： 10.1038/s41377-026-02335-0.

摘要

Abstract

Disorder is emerging as a design principle in nanophotonics

offering new ways to control light beyond the limits of periodic architectures. Hyperuniform disordered networks

positioned between order and randomness

offer a unique platform for this exploration. Using large-scale numerical simulations and hyperspectral near-field imaging

we uncover spectral level repulsion among delocalized modes – a universal signature of interacting states in complex systems

from nuclear physics to quantum chaos

experimentally observed here for the first time in correlated disordered photonics. Within the same platform

we provide a phenomenological identification of classes of localized modes in hyperuniform disordered networks: genuine Anderson states and defect-induced resonances associated with Lifshitz-like photonic states. Unlike their electronic counterparts

these Lifshitz-like states arise from architecture-encoded topological defects and can hybridize into coupled "photonic molecules". Our results reveal a potentially reconfigurable regime of disorder where localization

correlations

and coupling can be engineered

opening new opportunities for random lasing

optical filtering

and quantum photonics.

关键词

Keywords

references

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