The Emergence of Topological Nodal Points in Photonic Crystal with Mirror Symmetry

Abstract

We show that topological nodal points can emerge in photonic crystal possessing mirror symmetry. The mechanism of generating topological nodal points is discussed in a two-dimensional photonic square lattice, in which four topological nodal points split out naturally after the touching of two bands with different parity. The emergence of such nodal points, characterized by vortex structure in momentum space, is attributed to the unavoidable band crossing protected by mirror symmetry. The topological nodes can be unbuckled through breaking the mirror symmetry and a photonic Chern insulator can be achieved through time reversal symmetry breaking. The joint effect of breaking time reversal symmetry and breaking inversion symmetry is further found to strengthen the finite size effect, providing ways to engineer helical edge states.

References in corpus (21)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Photonics
• Topological Field Theory of Time-Reversal Invariant Insulators
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Weyl Semimetal in a Topological Insulator Multilayer
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Analogs of quantum Hall effect edge states in photonic crystals
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Weyl points and line nodes in gapless gyroid photonic crystals
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Merging of Dirac points in a two-dimensional crystal
• Do Linear Dispersions of Classical Waves Mean Dirac Cones?
• Topological creation and destruction of edge states in photonic graphene
• A new magnetic field dependence of Landau levels on a graphene like structure
• Photonic analog of graphene model and its extension -- Dirac cone, symmetry, and edge states --
• Topological semimetal in a fermionic optical lattice
• Topological transition of Dirac points in a microwave experiment
• Effective theory of quadratic degeneracies
• Two types of Dirac-cone surface states on (111) surface of topological crystalline insulator SnTe
• Hidden-Symmetry-Protected Topological Semimetals on a Square Lattice

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• Accidental degeneracy and topological phase transitions in two-dimensional core-shell dielectric photonic crystals
• Topological Thermoelectricity in Metals
• Novel topological beam-splitting in photonic crystals
• Observation of topological edge states of sound at a momentum away from the high-symmetry point
• Topological Phases of Photonic Crystals under Crystalline Symmetries
• Interfacial waveforms in chiral lattices with gyroscopic spinners
• Tuning Topological Phase Transitions in Hexagonal Photonic Lattices Made of Triangular Rods
• Manipulating Topological Valley Modes in Plasmonic Metasurfaces
• Experimental observations of topologically guided water waves within non-hexagonal structures
• Photonic Chern insulators made of gyromagnetic hyperbolic metamaterials
• Tailored Topological Edge Waves via Chiral Hierarchical Metamaterials
• Dirac Hamiltonians for bosonic spectra
• Dirac cones and mass terms in bosonic spectra
• On the Effective Mass of Mechanical Lattices with Microstructure
• Measuring Dirac Cones in a Sub-Wavelength Metamaterial
• Revealing photonic Symmetry-Protected Modes ($SPM$) by Finite-Difference-Time-Domain method
• Dirac points in helically structured 1D photonic crystals