Accidental degeneracy and topological phase transitions in two-dimensional core-shell dielectric photonic crystals

Abstract

A simple core-shell two-dimensional photonic crystal is studied where the triangle lattice symmetry and $C_{6v}$ rotation symmetry leads to rich physics in the study of accidental degeneracy's in photonic bands. We systematically evaluate different types of accidental nodal points, depending on the dispersions around them and their topological properties, when the geometry and permittivity are continuously changed. These accidental nodal points can be the critical states lying between a topological phase and a normal phase and are thus important for the study of topological photonic states. In time-reversal systems, this leads to the photonic quantum spin Hall insulator where the spin is defined upon the orbital angular momentum for transverse-magnetic polarization. We study the topological phase transition as well as the properties of the edge and bulk states and their application potentials in optics.

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Cited by in corpus (42)

• Topological Photonics
• Visualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals
• Second-order photonic topological insulator with corner states
• Visualization of unidirectional optical waveguide using topological photonic crystals made of dielectric material
• Observation of second-order topological insulators in sonic crystals
• Two-Dimensionally Confined Topological Edge States in Photonic Crystals
• Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology
• Topological phononic insulator with robustly pseudospin-dependent transport
• Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals
• Topological light-trapping on a dislocation
• Reconfigurable Topological Photonic Crystal
• Higher-order photonic topological states in surface-wave photonic crystals
• Topological transitions in continuously-deformed photonic crystals
• Type-II Dirac Photons
• Acoustic Dirac degeneracy and topological phase transitions realized by rotating scatterers
• Plasmon-polaritonic quadrupole topological insulators
• Corner states and topological transitions in two-dimensional higher-order topological sonic crystals with inversion symmetry
• Dual-Polarization Second-Order Photonic Topological Insulators
• Photonic topological insulators a beginner's introduction
• Transport tuning of photonic topological edge states by optical cavities
• ${\mathbb{Z}}_2$ topological insulator analog for vortices in an interacting bosonic quantum fluid
• Topologically protected Fano resonance in photonic valley Hall insulators
• Anomalous Quadrupole Topological Insulators in 2D Nonsymmorphic Sonic Crystals
• Angular-dependent Klein tunneling in photonic graphene
• Frequency tunable topological edge states of two-dimensional honeycomb lattice photonic crystals
• Higher-order topological spin Hall effect of sound
• Topological edge states of Kekulé-type photonic crystals induced by a synchronized rotation of unit cells
• Topological valley crystals in a photonic Su-Schrieffer-Heeger (SSH) variant
• Efficient Design of Helical Higher-Order Topological Insulators in 3D Elastic Medium
• Breakdown of spin-to-helicity locking at the nanoscale in topological photonic crystal edge states
• Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a small optomechanical lattice
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Robust Transport of the Edge Modes along the Photonic Topological Interfaces of Different Configurations
• Braiding topology of symmetry-protected degeneracy points in non-Hermitian systems
• Realization of Z${}_2$ topological photonic insulators made from multilayer transition metal dichalcogenides
• Possible Realization of Optical Quadratic and Dirac Points in Woodpile Photonic Crystals
• Floquet-Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice
• Simulating Topological Robustness of Fano Resonance in Rotated Honeycomb Photonic Crystals
• Manipulation of photonic topological edge and corner states via trivial claddings
• Magnetic doping-induced second-order and first-order topological phase transition inthe photonic alloy
• Direct Observation of Strongly Tilted Dirac Points at General Positions in the Reciprocal Space
• Photonic quantum Hall effects