Type-II Dirac Photons

Abstract

The Dirac equation for relativistic electron waves is the parent model for Weyl and Majorana fermions as well as topological insulators. Simulation of Dirac physics in three-dimensional photonic crystals, though fundamentally important for topological phenomena at optical frequencies, encounters the challenge of synthesis of both Kramers double degeneracy and parity inversion. Here we show how type-II Dirac points---exotic Dirac relativistic waves yet to be discovered---are robustly realized through the nonsymmorphic screw symmetry. The emergent type-II Dirac points carry nontrivial topology and are the mother states of type-II Weyl points. The proposed all-dielectric architecture enables robust cavity states at photonic-crystal---air interfaces and anomalous refraction, with very low energy dissipation.

References in corpus (34)

• Topological Insulators
• Topological insulators and superconductors
• Topological Insulators with Inversion Symmetry
• Topological Photonics
• Photonic Floquet Topological Insulators
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Type-II Weyl Semimetals
• Topological Crystalline Insulators
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Imaging topological edge states in silicon photonics
• Scheme to Achieve Silicon Topological Photonics
• Topological Acoustics
• Acoustic topological insulator and robust one-way sound transport
• Experimental observation of Weyl points
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Weyl points and line nodes in gapless gyroid photonic crystals
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide
• Strain-induced pseudomagnetic field and Landau levels in photonic structures
• Synthetic gauge fields and Weyl point in Time-Reversal Invariant Acoustic Systems
• Three-dimensional topological photonic crystal with a single surface Dirac cone
• Three-Dimensional All-Dielectric Photonic Topological Insulator
• Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• Measurement of topological invariants in a 2D photonic system
• Topological Order and Absence of Band Insulators at Integer Filling in Non-Symmorphic Crystals
• Plasmon Weyl Degeneracies in Magnetized Plasma
• Topology, Delocalization via Average Symmetry and the Symplectic Anderson Transition
• Accidental degeneracy and topological phase transitions in two-dimensional core-shell dielectric photonic crystals
• Hyperbolic Weyl point in reciprocal chiral metamaterial
• Mechanical Weyl Modes in Topological Maxwell Lattices
• Weyl and Dirac semimetals with Z_2 topological charge
• Three-dimensional photonic Dirac points stabilized by point group symmetry
• Topological charges of three-dimensional Dirac semimetals with rotation symmetry

Cited by in corpus (28)

• Topological Photonics
• Second-order photonic topological insulator with corner states
• Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology
• A brief review of topological photonics in one, two, and three dimensions
• Tilted and type-III Dirac cones emerging from flat bands in photonic orbital graphene
• Symmetry-protected hierarchy of anomalous multipole topological band gaps in nonsymmorphic metacrystals
• Higher-order photonic topological states in surface-wave photonic crystals
• Three dimensional photonic Dirac points in metamaterials
• Topological transitions in continuously-deformed photonic crystals
• Three-dimensional acoustic double-zero-index medium with a Dirac-like point
• Observation of Three-dimensional Photonic Dirac points and Spin-polarized Surface Arcs
• Manipulating type-I and type-II Dirac polaritons in cavity-embedded honeycomb metasurfaces
• Discovering topological surface states of Dirac points
• Plasmon-polaritonic quadrupole topological insulators
• Corner states and topological transitions in two-dimensional higher-order topological sonic crystals with inversion symmetry
• Type-II Dirac photons at the metasurfaces
• Anomalous Quadrupole Topological Insulators in 2D Nonsymmorphic Sonic Crystals
• Deterministic scheme for two-dimensional type-II Dirac points and experimental realization in acoustics
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Two-dimensional type-II Dirac fermions in layered oxides
• Hidden-symmetry-enforced nexus points of nodal lines in layer-stacked dielectric photonic crystals
• Higher-order topological spin Hall effect of sound
• Photonic Chern insulators made of gyromagnetic hyperbolic metamaterials
• Ideal type-II Weyl points in twisted one-dimensional dielectric photonic crystals
• Type-II Dirac photonic lattices
• Possible Realization of Optical Quadratic and Dirac Points in Woodpile Photonic Crystals
• Complex Dirac-like Electronic Structure in Atomic Site Ordered Rh3In3.4Ge3.6
• Direct Observation of Strongly Tilted Dirac Points at General Positions in the Reciprocal Space