Tight-binding photonic bands in metallophotonic waveguide networks and flat bands in kagome lattices

Abstract

We propose that we can realize "tight-binding photonic bands" in metallophotonic waveguide networks, where the photonic bound states localized around the crossings of a network form a tight-binding band. The formation of bound states at the crossings is distinct from the conventional bound states at defects or virtual bound states in photonic crystals, but comes from a photonic counterpart of the zero-point states in wave mechanics. Model calculations show that the low-lying photon dispersions are indeed described accurately by the tight-binding model. To exemplify how we can exploit the tight-binding analogy for a {\it designing} of photonic bands, we propose a "flat photonic band" in the kagome network, in which the photonic flat band is shown to arise with group velocities that can be as small as 1/1000 times the velocity of light in vacuum.

5 pages, 6 figures

References in corpus (3)

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• Constraints on transmission, dispersion, and density of states in dielectric multilayers and stepwise potential barriers with arbitrary layer arrangement
• Flat-Band Ferromagnetism in Organic Polymers Designed by a Computer Simulation

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• Engineering slow light and mode crossover in a fractal-kagome waveguide network
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• Methods for the construction of interacting many-body Hamiltonians with compact localized states in geometrically frustrated clusters
• Nonequilibrium Landau-Zener Tunneling in Exciton-Polariton Condensates
• Flux modulated flat band engineering in square-kagome ladder network
• Emergence of Cascading Flat Bands in Breathing Superlattices
• Flat bands in condensed-matter systems -- perspective for magnetism and superconductivity
• Analytical study of quasi-one dimensional flat band networks and slow light analogue
• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
• Conservation of Quantum Correlations in Multimode Systems with $U(1)$ Symmetry
• The fate of disorder in twisted bilayer graphene near the magic angle