Band gaps atlas for photonic crystals having the symmetry of the pyrochlore and kagome lattices

Abstract

A new family of two- and three-dimensional photonic crystals with the symmetry of the kagome and pyrochlore lattices that exhibit interesting photonic band structures are reported. From large complete photonic band gaps in three dimensions to enormous partial gaps in two dimensions for certain polarizations occurring at feature sizes that make these lattice amenable of fabrication, the results described below sure make this new family of photonic crystals very promising for potential applications and very interesting from the fundamental point of view.

The figures in this submission are low resolution ones. High quality versions of these figures are available upon request

References in corpus (4)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Dissipationless Anomalous Hall Current in the Ferromagnetic Spinel CuCr${}_2$Se${}_{4-x}$Br${}_x$
• Mixed valence on a pyrochlore lattice - LiV2O4 as a geometrically frustrated magnet

Cited by in corpus (4)

• The finite element method applied to the study of two-dimensional photonic crystals
• Mapping the Design Space of Photonic Topological States via Deep Learning
• Self-assembly of three-dimensional open structures using patchy colloidal particles
• Entropic effects in the self-assembly of open lattices from patchy particles