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.

arXiv comment13 pages, 4 figures

References in corpus (15)

• Topological Photonics
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• 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
• All-Si Valley-Hall Photonic Topological Insulator
• Deterministic photon-emitter coupling in chiral photonic circuits
• Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems
• Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide
• Valley-contrasting orbital angular momentum in photonic valley crystals
• Valley-protected backscattering suppression in silicon photonic graphene
• Experimental Observation of Large Chern numbers in Photonic Crystals
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Measurement of the Zak phase of photonic bands through the interface states of metasurface/photonic crystal
• Universal condition for the existence of interface modes in the whole momentum space with arbitrary materials

Cited by in corpus (5)

• Unconventional quantum optics in topological waveguide QED
• Coupled cavity-waveguide system based on topological corner state and edge state
• Topological light guiding and trapping via shifted photonic crystal interfaces
• Self-induced nonreciprocity from asymmetric photonic topological insulators
• Topological edge states in all-dielectric square-lattice arrays of bianisotropic microwave resonators