Deterministic scheme for two-dimensional type-II Dirac points and experimental realization in acoustics
arXiv:1907.06850 · doi:10.1103/PhysRevLett.124.075501
Abstract
Low-energy electrons near Dirac/Weyl nodal points mimic massless relativistic fermions. However, as they are not constrained by Lorentz invariance, they can exhibit tipped-over type-II Dirac/Weyl cones which provide highly anisotropic physical properties and responses, creating unique possibilities. Recently, they have been observed in several quantum and classical systems. Yet, there is still no simple and deterministic strategy to realize them since their nodal points are accidental degeneracies, unlike symmetry-guaranteed type-I counterparts. Here, we propose a band-folding scheme for constructing type-II Dirac points, and we use a tight-binding analysis to unveil its generality and deterministic nature. Through realizations in acoustics, type-II Dirac points are experimentally visualized and investigated using near-field mappings. As a direct effect of tipped-over Dirac cones, strongly tilted kink states originating from their valley-Hall properties are also observed. This deterministic scheme could serve as platform for further investigations of intriguing physics associated with various strongly Lorentz-violating nodal points.
arXiv comment4 figures
References in corpus (37)
- Topological Photonics
- Topological Photonics
- Type-II Weyl Semimetals
- Scheme to Achieve Silicon Topological Photonics
- Observation of topological valley transport of sound in sonic crystals
- Topologically-protected refraction of robust kink states in valley photonic crystals
- Spectroscopic evidence for type II Weyl semimetal state in MoTe2
- Direct Observation of Valley-polarized Topological Edge States in Designer Surface Plasmon Crystals
- Observation of Photonic Topological Valley-Hall Edge States
- Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
- Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
- Experimental observation of optical Weyl points
- Do Linear Dispersions of Classical Waves Mean Dirac Cones?
- Extremely high magnetoresistance and conductivity in the type-II Weyl semimetals WP2 and MoP2
- Nontrivial Berry phase and type II Dirac transport in layered material PdTe2
- Type-II nodal loops: theory and material realization
- Magnetic breakdown and Klein tunneling in a type-II Weyl semimetal
- Valley-Hall Kink and Edge States in Multilayer Graphene
- Antichiral edge states in a modified Haldane nanoribbon
- Quantum transport in Dirac materials: signatures of tilted and anisotropic Dirac and Weyl cones
- Prefect Klein tunneling in anisotropic graphene-like photonic lattices
- Acoustic type-II Weyl nodes from stacking dimerized chains
- Observation of acoustic Landau quantization and quantum-Hall-like edge states
- Tilted and type-III Dirac cones emerging from flat bands in photonic orbital graphene
- Three dimensional photonic Dirac points in metamaterials
- Designing Dirac points in two-dimensional lattices
- Observation of Three-dimensional Photonic Dirac points and Spin-polarized Surface Arcs
- Three-dimensional photonic Dirac points stabilized by point group symmetry
- Type-II Dirac Photons
- Anti-chiral edge states in an exciton polariton strip
- Manipulating type-I and type-II Dirac polaritons in cavity-embedded honeycomb metasurfaces
- Type-II Dirac photons at the metasurfaces
- Line nodes, Dirac points and Lifshitz transition in 2D nonsymmorphic photonic crystals
- Parallel Transport and Band Theory in Crystals
- Two-dimensional type-II Dirac fermions in layered oxides
- Bulk Fermi surfaces of the Dirac Type-II Semimetallic Candidates VAl3, NbAl3 and TaAl3
- Generalized Bloch theorem and topological characterization
Cited by in corpus (6)
- Nonlinear Topological Valley Hall Edge States Arising from Type-II Dirac Cones
- Spin-polarized antichiral exciton-polariton edge states
- Type-II Dirac photonic lattices
- -symmetric photonic lattices with type-II Dirac cones
- Experimental observation of anomalous optical transmission in interlaced metallic wire meshes
- Abnormal wave propagation of high-k modes in tilted linear-crossing metamaterials