Flat band fine-tuning and its photonic applications

Flat bands – single-particle energy bands – in tight-binding lattices, aka networks, have attracted attention due to the presence of macroscopic degeneracies and their sensitivity to perturbations. They support compact localized eigenstates protected by destructive interference. This makes them natu...

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Bibliographic Details
Published in:Nanophotonics (Berlin, Germany) Germany), 2024-09, Vol.13 (21), p.3925-3944
Main Authors: Danieli, Carlo, Andreanov, Alexei, Leykam, Daniel, Flach, Sergej
Format: Article
Language:English
Subjects:
compact localized states
Eigenvectors
Energy bands
fine-tuning
flat band
Fractal models
Graphene
Insulators
Lasers
Light
localization of light
Metal-insulator transition
nonlinear regime
Particle energy
Perturbation
Photonic crystals
photonic lattices
Physics
Review
Science programs
Superconductivity
Theoretical physics
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Summary:Flat bands – single-particle energy bands – in tight-binding lattices, aka networks, have attracted attention due to the presence of macroscopic degeneracies and their sensitivity to perturbations. They support compact localized eigenstates protected by destructive interference. This makes them natural candidates for emerging exotic phases and unconventional orders. In this review we consider the recently proposed systematic ways to construct flat band networks based on symmetries or fine-tuning. We then discuss how the construction methods can be further extended, adapted or exploited in presence of perturbations, both single-particle and many-body. This strategy has lead to the discovery of non-perturbative metal-insulator transitions, fractal phases, nonlinear and quantum caging and many-body nonergodic quantum models. We discuss what implications these results may have for the design of fine-tuned nanophotonic systems including photonic crystals, nanocavities, and metasurfaces.
ISSN:2192-8614
2192-8606
2192-8614
DOI:10.1515/nanoph-2024-0135