The Emergence of Topological Nodal Points in Photonic Crystal with Mirror Symmetry
arXiv:1409.3939 · doi:10.1038/srep08186
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 (9)
- Topological Photonics
- Topological Field Theory of Time-Reversal Invariant Insulators
- 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
- 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?
- A new magnetic field dependence of Landau levels on a graphene like structure
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- Tuning Topological Phase Transitions in Hexagonal Photonic Lattices Made of Triangular Rods
- Tailored Topological Edge Waves via Chiral Hierarchical Metamaterials
- On the Effective Mass of Mechanical Lattices with Microstructure
- Measuring Dirac Cones in a Sub-Wavelength Metamaterial
- Dirac points in helically structured 1D photonic crystals