Unfolded band structures of photonic quasicrystals and moiré superlattices
Yanbin Zhang, Zhiyuan Che, Wenzhe Liu, Jiajun Wang, Maoxiong Zhao, Fang Guan, Xiaohan Liu, Lei Shi, Jian Zi
Abstract
We apply the band-unfolding approach to explore the dispersions of different types of photonic quasiperiodic structures, including photonic quasicrystals that have high-rotational symmetry but lack translational symmetry, and moir\'e superlattices, which are a twist of two primary lattices. The band-unfolding approach provides a simple picture to get the band structure of such quasiperiodic structures, which can be directly compared with experimental results. We envision this approach will be a basic method for introducing the rich concepts of photonics in condensed-matter physics to photonic quasiperiodic systems.
Topics & Concepts
Quasiperiodic functionQuasicrystalSuperlatticePhotonic crystalPhotonicsPhysicsElectronic band structureCondensed matter physicsSymmetry (geometry)Moiré patternBand gapTranslational symmetryMaterials scienceOptoelectronicsOpticsGeometryMathematicsPhotonic Crystals and ApplicationsPlasmonic and Surface Plasmon ResearchMetamaterials and Metasurfaces Applications