Edge states in self-complementary checkerboard photonic crystals: Zak phase, surface impedance and experimental verification

Abstract

Edge states of photonic crystals have attracted much attention for the potential applications such as high transmission waveguide bends, spin dependent splitters and one-way photonic circuits. Here, we theoretically discuss and experimentally observe the deterministic edge states in checkerboard photonic crystals. Due to the self-complementarity of checkerboard photonic crystals, a common band gap is structurally protected between two photonic crystals with different unit cells. Deterministic edge states are found inside the common band gap by exploiting the Zak phase analysis and surface impedance calculation. These edge states are also confirmed by a microwave experiment.

13 pages, 4 figures

References in corpus (6)

• Topological Photonics
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Scheme to Achieve Silicon Topological Photonics
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Universal condition for the existence of interface modes in the whole momentum space with arbitrary materials

Cited by in corpus (1)

• Coupled cavity-waveguide system based on topological corner state and edge state