Experimental observation of Weyl points

Abstract

In 1929, Hermann Weyl derived the massless solutions from the Dirac equation - the relativistic wave equation for electrons. Neutrinos were thought, for decades, to be Weyl fermions until the discovery of the neutrino mass. Moreover, it has been suggested that low energy excitations in condensed matter can be the solutions to the Weyl Hamiltonian. Recently, photons have also been proposed to emerge as Weyl particles inside photonic crystals. In all cases, two linear dispersion bands in the three-dimensional (3D) momentum space intersect at a single degenerate point - the Weyl point. Remarkably, these Weyl points are monopoles of Berry flux with topological charges defined by the Chern numbers. These topological invariants enable materials containing Weyl points to exhibit a wide variety of novel phenomena including surface Fermi arcs, chiral anomaly, negative magnetoresistance, nonlocal transport, quantum anomalous Hall effect, unconventional superconductivity[15] and others [16, 17]. Nevertheless, Weyl points are yet to be experimentally observed in nature. In this work, we report on precisely such an observation in an inversion-breaking 3D double-gyroid photonic crystal without breaking time-reversal symmetry.

4 pages, 3 figures

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• Topological band structure via twisted photons in a degenerate cavity
• Anatomy of Topological Surface States: Exact Solutions from Destructive Interference on Frustrated Lattices
• Gauge Field Induced Chiral Zero Mode in Five-dimensional Yang Monopole Metamaterials
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• Classifying topology in photonic heterostructures with gapless environments
• Dirac magnons, nodal lines, and nodal plane in elemental gadolinium
• Magneto-optical conductivity of double Weyl semimetals
• Spectral properties of reduced fermionic density operators and parity superselection rule
• Liquid-crystal-based topological photonics
• Non-Abelian charged nodal links in dielectric photonic crystal
• Realization of an atomic quantum Hall system in four dimensions
• Fermi arc reconstruction in synthetic photonic lattice
• Revealing Topology in Metals using Experimental Protocols Inspired by $K$-Theory
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• Anomalous hyperfine coupling and nuclear magnetic relaxation in Weyl semimetals
• Zero-index Weyl metamaterials
• Photoexcitation of electron wave packets in quantum spin Hall edge states: effects of chiral anomaly from a localised electric pulse
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• Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering
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• Radiative topological biphoton states in modulated qubit arrays
• Universal phase transition and band structures for spinless nodal-line and Weyl semimetals
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• Triple hourglass Weyl phonons
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• Drumhead surface states and their signatures in quasiparticle scattering interference
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• Ideal type-II Weyl points in twisted one-dimensional dielectric photonic crystals
• Optical interface states protected by synthetic Weyl points
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Analog Simulation of Weyl Particles with Cold Atoms
• Demonstration of non-Abelian frame charge flow in photonic crystals
• Imbert-Fedorov shift in pseudospin-$N/2$ semimetals and nodal-line semimetals
• Unitary evolution and uniqueness of the Fock representation of Dirac fields in cosmological spacetimes
• Manipulation of Weyl Points in Reciprocal and Nonreciprocal Mechanical Lattices
• Detection of Fermi Arcs in Weyl Semimetals through Surface Negative Refraction
• Topology of chiral superfluid: skyrmions, Weyl fermions and chiral anomaly
• Flat Energy Bands within Antiphase and Twin Boundaries and at Open Edges in Topological Materials
• Non-adiabatic bulk-surface oscillations in driven topological insulators
• Intrinsic triple degeneracy point bounded by nodal surfaces in chiral photonic crystal
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• Multi-terminal Conductance at the Surface of a Weyl Semimetal
• Chiral transport of pseudo-spinors induced by synthetic gravitational field in photonic Weyl metamaterials
• Dynamical density response and optical conductivity in topological metals
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• High-resolution three-dimensional imaging of topological textures in single-diamond networks
• Dynamical bulk-edge correspondence for nodal lines in parameter space
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Strong magneto-optical response enabled by quantum two level systems
• Topological magnon nodal-lines and absence of magnon spin Nernst effect in layered collinear antiferromagnets
• Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
• $\mathcal{P}\mathcal{T}$ symmetry-protected exceptional cones and analogue Hawking radiation
• $n$-Hourglass Weyl fermions in nonsymmorphic materials
• Topological van Hove singularities at phase transitions in Weyl metals
• Topological depletions and sub-leading scalings across topological phase transitions
• Multi higher-order Dirac and nodal line semimetals
• Quantum Simulation of the Two-Dimensional Weyl Equation in a Magnetic Field
• Crystalline-electromagnetic responses of higher order topological semimetals
• Weyl Nodal-Ring Semimetallic Behavior and Topological Superconductivity in Crystalline Forms of Su-Schrieffer-Heeger Chains
• Possible Realization of Optical Quadratic and Dirac Points in Woodpile Photonic Crystals
• Unpaired topological triply degenerate point for spin-tensor-momentum-coupled ultracold atoms
• Spin-lattice relaxation phenomena in the magnetic state of a suggested Weyl semimetal CeAlGe
• Pairwise annihilation of Weyl nodes induced by magnetic fields in the Hofstadter regime
• Weyl points and exceptional rings with polaritons in bulk semiconductors
• Predicting topological materials: symmetry-based indicator theories and beyond
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Kinetic derivation of generalized phase space Chern-Simons theory
• Floquet-Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice
• Magnetovortical and thermoelectric transport in tilted Weyl metals
• Topological Protection of Two-photon Quantum Correlation on a Photonic Chip
• Magnetic order in nanoscale gyroid networks
• Topological Non-Fermi Liquid
• A Monolithic Topologically Protected Phononic Circuit
• Scheme to Equilibrate the Quantized Hall Response of Topological Systems from Coherent Dynamics
• Weyl points in systems of multiple semiconductor-superconductor quantum dots
• Weyl fermions in cylindrical wires
• From Nodal Ring Topological Superfluids to Spiral Majorana Modes in Cold Atomic Systems
• Transmission properties of microwaves at an optical Weyl point in a three-dimensional chiral photonic crystal
• Weyl orbits without an external magnetic field
• Omnidirectional spin Hall effect in a Weyl spin-orbit coupled atomic gas
• Non-Quantized Edge Channel Conductance and Zero Conductance Fluctuation in Non-Hermitian Chern Insulators
• Topological Degeneracy Induced by Twisting
• Centrosymmetric-noncentrosymmetric Structural Phase Transition in Quasi one-dimensional compound, (TaSe${}_4$)${}_3$I
• Exotic Topological States with Raman-Induced Spin-Orbit Coupling
• Dirac and Weyl Fermions -- the Only Causal Systems
• On the remarkable properties of Weyl particles
• Chiral Hinge Transport in Disordered Non-Hermitian Second-Order Topological Insulators
• Phonon-limited carrier transport in the Weyl semimetal TaAs
• A strongly robust Weyl fermion semimetal state in Ta${}_3$S${}_2$
• Exotic surface states in hybrid structures of topological insulators and Weyl semimetals
• High Chern number topological superfluids and new class of topological phase transitions of Rashba spin-orbit coupled fermions on a lattice
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Neutron scattering off Weyl semimetals
• Acoustic semimetal with Weyl points and surface states
• Functional renormalization group approach to interacting three-dimensional Weyl semimetals
• Observation of surface states derived from topological Fermi arcs in the Weyl semimetal NbP
• Detect Axial Gauge Fields with a Calorimeter
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Generating Weyl semimetals from alkali metals
• Chiral anomaly in Weyl systems: no violation of classical conservation laws
• Effective Spin-2 Quasi-particles at Linear Dispersive Five-fold Degenerate Points with Tunable Topological Chern Numbers
• Near-field imaging of spin-locked edge states in all-dielectric topological metasurfaces
• Transition from nodal loop to nodal chain phase in a periodically modulated optical lattice
• Topological Signatures in Nodal Semimetals through Neutron Scattering
• Weyl systems: anomalous transport normally explained
• Design triple points, nexus points and related topological phases by stacking monolayers
• Topological transitions of spin-excitations in insulating chiral antiferromagnets
• Quantum Topological Boundary States in Quasi-crystal
• Speed-of-light pulses in a nonlinear Weyl equation
• Electron scattering by magnetic impurity in Weyl semimetals
• Relativistic horizon of interacting Weyl fermions in condensed matter systems
• Electronic scattering, focusing, and resonance by a spherical barrier in Weyl semimetals
• Tilted Dirac Fermions
• Bose-Einstein condensate of Dirac magnons: Pumping and collective modes
• Fabry-Perot interferometry in Weyl semi-metals
• Noncentrosymmetric two-dimensional Weyl semimetals in porous Si/Ge structures
• Simulation of nodal-line semimetal in amplitude-shaken optical lattices
• Wave Topology in Hall MHD
• Topological insulators and geometry of vector bundles
• Geometric transport signatures of strained multi-Weyl semimetals
• Unconventional Weyl exceptional contours in non-Hermitian photonic continua
• Microcavity polaritons for topological photonics
• Observation of nearly identical superconducting transition temperatures in pressurized Weyl semimetal MIrTe4 (M=Nb and Ta)
• Symmetry-enforced three-dimensional Dirac phononic crystals
• Chiral magnetic conductivity and surface states of Weyl semimetals in topological insulator ultra-thin film multilayer
• Weyl semimetal in ultra-thin film of topological insulator multilayer
• Unconventional transport properties in systems with triply degenerate quadratic band crossings
• A semiclassical approach to surface Fermi arcs in Weyl semimetals
• 3D $Z_2$ Topological Nodes in Nonsymmorphic Photonic Crystals: Ultrastrong Coupling and Anomalous Refraction
• Robust Weyl points in a 1D superlattice with transverse spin-orbit coupling
• Optical Black-hole Analog Created by Topological Phase Transition with a Long-lived Horizon
• Synthesis of Majorana mass terms in low-energy quantum systems
• Three-Dimensional Quantum Hall Effect in Topological Amorphous Metals
• Realization of multiple topological states and topological phase transitions in (4,0) carbon nanotube derivatives
• Shot noise in NS junctions with Weyl superconductor
• Realization of Photonic Charge-2 Dirac Point by Engineering Super-modes in Topological Superlattices
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
• Magneto tunnel conductance across twisted Weyl semimetal junctions
• Fermi Arcs in Tilted Weyl Semimetals: Classification, Evolution and Transport Properties
• Monopole Field Textures in Interacting Spin Systems
• Topological quantum slinky motion in resonant extended Bose-Hubbard model
• Quantum Hall effect and optical magneto-conductivity of two-dimensional topological nodal-line semimetals
• Magnetic Susceptibility of Dirac Fermions, Bi-Sb Alloys, Interacting Bloch Fermions, Dilute Nonmagnetic Alloys, and Kondo Alloys
• Emergent Weyl-like points in periodically modulated systems
• Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
• A novel device for controlling the flow of information based on Weyl fermions and some interesting remarks regarding the electromagnetic interactions of high energy particles
• Theory of Topological Superconductivity in Doped IV-VI Semiconductors
• Dynamical Weyl Points and 4D Nodal Rings in Cold Atomic Gases
• Thermo-magneto-electric transport through a torsion dislocation in a type I Weyl Semimetal
• Type-II Weyl Excitation in Vortex Arrays
• Observation of Quadratic (Charge-2) Weyl Point Splitting in Near-Infrared Photonic Crystals
• Intrinsic Topological Weyl Phase Transition Induced by a Magnetostructural Transformation in a Kagome Magnet
• Synthetic Weyl points in generalized parameter space and their topological properties
• Biot-Savart law in quantum matter
• Berry Phase Enforced Spinor Pairing Order
• Josephson and persistent currents in a quantum ring between topological superconductors
• Topological Weyl-like Phonons and Nodal Line Phonons in Graphene
• Design and characterization of all two-dimensional fragile topological bands
• Theory of classical electrodynamics with topologically quantized singularities as electric charges
• Discovery of ideal Weyl points with helicoid surface states
• Algebraic skin effect in two-dimensional non-Hermitian metamaterials
• Breakdown of chiral anomaly and emergent phases in Weyl semimetals under orbital magnetic fields
• Three-dimensional single gyroid photonic crystals with a mid-infrared bandgap
• Quantized Berry winding from an emergent $\mathcal{P}\mathcal{T}$ symmetry
• Advances in Synthetic Gauge Fields for Light Through Dynamic Modulation
• Topological Numbers and the Weyl Semimetal
• Surface density-of-states on semi-infinite topological photonic and acoustic crystals
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Spin-orbit-driven quarter semimetals in rhombohedral graphene