Section Chern number for a 3D photonic crystal and the bulk-edge correspondence

Abstract

We have characterized the robust propagation modes of electromagnetic waves in helical structures by the section Chern number that is defined for a two-dimensional (2D) section of the three- dimensional (3D) Brillouin zone. The Weyl point in the photonic bands is associated with a dis- continuous jump of the section Chern number. A spatially localized Gaussian basis set is used to calculate the section Chern numbers where we have implemented the divergence-free condition on each basis function in 3D. The validity of the bulk-edge correspondence in a 3D photonic crystal is discussed in relation to the broken inversion symmetry.

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• Topological Photonics
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• Scheme to Achieve Silicon Topological Photonics
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Cited by in corpus (6)

• A brief review of topological photonics in one, two, and three dimensions
• First-principle calculation of Chern number in gyrotropic photonic crystals
• Electromagnetic Scattering Laws in Weyl Systems
• Cubic 3D Chern photonic insulators with orientable large Chern vectors
• Optical Properties of Chiral Three-Dimensional Photonic Crystals made from Semiconductors
• Topological Modes Protected by Chiral and Two-Fold Rotational Symmetry in a Spring-Mass Model with a Lieb Lattice Structure