Valley-dependent Corner States in Honeycomb Photonic Crystal without Inversion Symmetry

Abstract

We study topological states of honeycomb photonic crystals in absence of inversion symmetry using plane wave expansion and finite element methods. The breaking of inversion symmetry in honeycomb lattice leads to contrasting topological valley indices, i.e., the valley-dependent Chern numbers in momentum space. We find that the topological corner states appear for 60${}^{\circ }$ degree corners, but absent for other corners, which can be understood as the sign flip of valley Chern number at the corner. Our results provide an experimentally feasible platform for exploring valley-dependent higher-order topology in photonic systems.

13 pages, 6 figures

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Cited by in corpus (3)

• A brief review of topological photonics in one, two, and three dimensions
• Chiral phonons in honeycomb sublattice of layered CoSn-like compounds
• Topological valley crystals in a photonic Su-Schrieffer-Heeger (SSH) variant