Conical intersections for light and matter waves

Abstract

We review the design, theory, and applications of two dimensional periodic lattices hosting conical intersections in their energy-momentum spectrum. The best known example is the Dirac cone, where propagation is governed by an effective Dirac equation, with electron spin replaced by a "fermionic" half-integer pseudospin. However, in many systems such as metamaterials, modal symmetries result in the formation of higher order conical intersections with integer or "bosonic" pseudospin. The ability to engineer lattices with these qualitatively different singular dispersion relations opens up many applications, including superior slab lasers, generation of orbital angular momentum, zero-index metamaterials, and quantum simulation of exotic phases of relativistic matter.

Short review. 9 pages, 3 figures

References in corpus (20)

• Chiral tunneling and the Klein paradox in graphene
• Topological Photonics
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Exciton-polariton condensates
• Observation of a localized flat-band state in a photonic Lieb lattice
• Observation of bound states in Lieb photonic lattices
• Do Linear Dispersions of Classical Waves Mean Dirac Cones?
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Extremal transmission at the Dirac point of a photonic band structure
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Unveiling pseudospin and angular momentum in photonic graphene
• Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators
• Dirac-like plasmons in honeycomb lattices of metallic nanoparticles
• Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• Dirac Point and Edge States in a Microwave Realization of Tight-Binding Graphene-like Structures
• Optical vault: reconfigurable bottle beam by conically refracted light
• Blue-detuned optical ring trap for Bose-Einstein condensates based on conical refraction
• Extinction of coherent backscattering by a disordered photonic crystal with a Dirac spectrum
• Characterising Conical Refraction Optical Tweezers

Cited by in corpus (10)

• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Nonlinear topological photonics
• Artificial flat band systems: from lattice models to experiments
• Topological Polarization Singularities in Metaphotonics
• Topological edge solitons and their stability in a nonlinear Su-Schrieffer-Heeger model
• Flat band induced by the interplay of synthetic magnetic flux and non-Hermiticity
• Tilted Dirac cones and asymmetric conical diffraction in photonic Lieb-kagome lattices
• Near-zero index magneto-optical medium realized with an unpaired Dirac point
• Topological edge states in photonic Floquet insulator with unpaired Dirac cones
• Pseudospin-2 in photonic chiral borophene