Localized states emerging from singular and nonsingular flat bands in a frustrated fractal-like photonic lattice

Abstract

We report on singular and nonsingular flat bands in a Sierpinski fractal-like photonic lattice. We demonstrate that the the lowest two bands, being isolated and degenerate due to geometrical frustration, are nonsingular and thus can be spanned by a complete set of compact localized states. We experimentally prove these states to propagate diffractionless in the photonic lattice. Our results reveal the interplay between geometrical frustration, degenerate flat bands and compact localized states in a single photonic lattice, and pave the way to photonic spin liquid ground states.

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Cited by in corpus (11)

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• Tilted Dirac cones and asymmetric conical diffraction in photonic Lieb-kagome lattices
• Designer quantum states on a fractal substrate: compact localization, flat bands and the edge modes
• Multiple flat bands and localized states in photonic super-Kagome lattices
• Non-singular and singular flat bands in tunable acoustic metamaterials
• Engineering flux-controlled flat bands and topological states in a Stagome lattice
• The Fractal-Lattice Hubbard Model
• Pseudospin-2 in photonic chiral borophene
• Aharonov-Bohm caging of an electron in a quantum fractal
• A fractal geometry immersed in a hierarchical magnetic flux distribution
• Proximity-induced flat bands and topological properties in a decorated diamond chain