Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals

Abstract

In quantum field theory, we learn that fermions come in three varieties: Majorana, Weyl, and Dirac. Here we show that in solid state systems this classification is incomplete and find several additional types of crystal symmetry-protected free fermionic excitations . We exhaustively classify linear and quadratic 3-, 6- and 8- band crossings stabilized by space group symmetries in solid state systems with spin-orbit coupling and time-reversal symmetry. Several distinct types of fermions arise, differentiated by their degeneracies at and along high symmetry points, lines, and surfaces. Some notable consequences of these fermions are the presence of Fermi arcs in non-Weyl systems and the existence of Dirac lines. Ab-initio calculations identify a number of materials that realize these exotic fermions close to the Fermi level.

v1: main text 9pgs. 29pg supplementary material. Submitted on 2/18/2016 v2: 2 new authors and 19 new materials added. Discussion of 4-band spin-3/2 fermions added, with emphasis on overlap with other materials of interest. Discussion of Zeeman splitting and other experimental implications added. v3: Accepted version. Minor typos fixed, title changed (formerly "New fermions"). Now 10+41pgs

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• Nodal higher-order topological superconductivity from a ${\mathcal{C}}_4$-symmetric Dirac semimetal
• Spin-1 Topological Monopoles in Parameter Space of Ultracold Atoms
• Non-Hermitian Dirac cones with valley-dependent lifetimes
• Perovskite-type YRh${}_3$B with multiple types of nodal point and nodal line states
• Symmetry protection and giant Fermi arcs from multifold fermions in binary, ternary, and quaternary compounds
• Topological Superconductivity from Unconventional Band Degeneracy with Conventional Pairing
• Identifying, and constructing, complex magnon band topology
• High-pressure phases of Weyl semimetals NbP, NbAs, TaP and TaAs
• Type-II topological metals
• Topologically nontrivial electronic states in CaSn${}_3$
• Encyclopedia of emergent particles in 528 magnetic layer groups and 394 magnetic rod groups
• Theory of Difference Frequency Quantum Oscillations
• Computing observables without eigenstates: applications to Bloch Hamiltonians
• Chirality flip of Weyl nodes and its manifestation in strained MoTe${}_2$
• Dynamical conductivity in multiply-degenerate point-nodal semimetal CoSi
• Hierarchy of quasi-symmetries and degeneracies in chiral crystal materials CoSi
• Observation of gapless nodal-line states in NdSbTe
• Atomically Sharp Internal Interface in a Chiral Weyl Semimetal Nanowire
• Nonlinear photoconductivities and quantum geometry of chiral multifold fermions
• Circuit realization of tilted Dirac cone: A platform for fabrication of curved spacetime geometry on a chip
• Elastic and transport properties of topological semimetal ZrTe
• Realization of Practical Eightfold Fermions and Fourfold van Hove Singularity in TaCo${}_2$Te${}_2$
• Non-Hermitian spectral flows and Berry-Chern monopoles
• Discovering two-dimensional magnetic topological insulators by machine learning
• Multiplicative topological phases
• Robust Weyl semimetallic phase in face-centered orthogonal C6 with helical carbon chains
• Theoretical investigations on Kerr and Faraday rotations in topological multi-Weyl Semimetals
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Quasicrystalline Weyl points and dense Fermi-Bragg arcs
• Weyl points on non-orientable manifolds
• Superconductivity induced by Mg deficiency in non-centrosymmetric phosphide Mg${}_2$Rh${}_3$P
• Nexus networks in carbon honeycombs
• Topological phases in pyrochlore thallium niobate Tl${}_2$Nb${}_2$O${}_{6+x}$
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• Third-order charge transport in a magnetic topological semimetal
• Predicting Dirac semimetals based on Sodium Ternary Compounds
• Antiferro- and Meta-magnetism in the S=7/2 Hollandite Analog EuGa2Sb2
• Nodal Brillouin Zone Boundary from Folding a Chern Insulator
• Three-dimensional non-Bosonic non-Fermionic quasiparticle through a quantized topological defect of crystal dislocation
• Electronic states of pseudospin-1 fermions in $\alpha -{\mathcal{T}}_3$ lattice ribbons in a magnetic field
• Coexistence of spin-1 fermion and Dirac fermion on the triangular kagome lattice
• Symmetry driven topological phases in XAgBi (X=Ba,Sr): An Ab-initio hybrid functional calculations
• Topological Superconductivity in Multifold Fermion Metals
• Prediction of Nontrivial Band Topology and Superconductivity in Mg${}_2$Pb
• Helicity-tunable spin Hall and spin Nernst effects in unconventional chiral fermion semimetals XY (X=Co, Rh; Y=Si, Ge)
• Superconductivity of anomalous pseudospin
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Quantum oscillations and electronic structure in the large-Chern number topological chiral semimetal PtGa
• Large spin Hall conductivity and excellent hydrogen evolution reaction activity in unconventional PtTe1.75 monolayer
• Quantum phase transitions of multi-species Dirac fermions
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly
• Chiral flat band superconductivity from symmetry-protected three-band crossings
• Embedded Topological Semimetals
• Quantum oscillations and electronic structures in large Chern number semimetal RhSn
• Topological metal bands with double-triple-point fermions in optical lattices
• Disorder-induced topological quantum phase transitions in multi-gap Euler semimetals
• Quantum criticality preempted by nematicity
• Dirac surface states, multiorbital dimerization and superconductivity in Nb- and Ta-based A15 compounds
• Magnetotransport properties of the layered CaAl2Si2 semimetal hosting multiple nontrivial topological states
• Tunable two-dimensional Dirac nodal nets
• High-degeneracy points protected by site-permutation symmetries
• Spin-momentum locking from topological quantum chemistry: applications to multifold fermions
• Spin Spiral and Topological Hall Effect in a Metamagnet Fe${}_3$Ga${}_4$
• Multiple Triple-Point Fermions in Heusler Compounds
• Type-II Nodal Line Fermions in New Z2 Topological Semimetals AV6Sb6 (A=K, Rb,and Cs) with Kagome Bilayer
• Theoretical study of topological properties of ferromagnetic pyrite CoS${}_2$
• On the topological character of three-dimensional Nexus triple point degeneracies
• Cubic Hall viscosity in three-dimensional topological semimetals
• Noncentrosymmetric compensated half-metal hosting pure spin Weyl nodes, triple nodal points, nodal loops, and nexus fermions
• A practical method to detect, analyse and engineer higher order Van Hove singularities in multi-band Hamiltonians
• Visualizing higher-fold topology in chiral crystals
• Dirac Points Embedded in the Continuum
• Optoelectronic Fingerprints of Interference between Different Charge Carriers in Graphene Superlattices and Analogies to Twisted Graphene Bilayers
• Group Theory on Quasisymmetry and Protected Near Degeneracy
• Multiple Dirac Nodes and Symmetry Protected Dirac Nodal Line in Orthorhombic $\alpha$-RhSi
• Triple nodal points characterized by their nodal-line structure in all magnetic space groups
• Weyl-triplons in SrCu2(BO3)2
• Termination Dependent Topological Surface States in Nodal Loop Semimetal HfP2
• Nonsymmorphic nodal-line metals in the two-dimensional rare earth monochalcogenides MX (M = Sc, Y; X = S, Se, Te)
• Optical conductivity of bilayer dice lattices
• Topological Circular Dichroism in Chiral Multifold Semimetals
• Sixfold fermion near the Fermi level in cubic PtBi2
• Pyramids and cootie catchers: new massless fermions in 2D materials
• Spin-1 Weyl Point and Surface Arc State in a Chiral Phononic Crystal
• Shear viscosity as a probe of nodal topology
• Broadband optical conductivity of the chiral multifold semimetal PdGa
• Magnonic triply-degenerate nodal points
• Substrate-induced topological minibands in graphene
• Plasmons in a two-dimensional nonsymmorphic nodal-line semimetal
• Spanning Fermi arcs in a two-dimensional magnet
• Hund nodal line semimetals: The case of twisted magnetic phase in the double-exchange model
• Chiralities of nodal points along high symmetry lines with screw rotation symmetry
• Berry curvature induced anisotropic magnetotransport in a quadratic triple-component fermionic system
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
• Quantum transport in a compensated semimetal W2As3 with nontrivial Z2 indices
• Intertwined Weyl phases emergent from higher-order topology and unconventional Weyl fermions via crystalline symmetry
• Band geometry from position-momentum duality at topological band crossings
• A $k\cdot p$ effective Hamiltonian generator
• Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
• Structure, physical properties, and magnetically tunable topological phases in topological semimetal EuCuBi
• Magneto-transport properties of proposed triply degenerate topological semimetal Pd${}_3$Bi${}_2$S${}_2$
• Topological diffusive metal in amorphous transition metal monosilicides
• Transport across junctions of pseudospin-one fermions
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• LaN Structural and Topological Transitions Driven by Temperature and Pressure
• Chiral topological metals with multiple types of quasiparticle fermions and large spin Hall effect in the SrGePt family materials
• Linear Response in Topological Materials
• Dynamical polarization, optical conductivity and plasmon mode of a linear triple component fermionic system
• Andreev bound states in superconductor-barrier-superconductor junctions of Rarita-Schwinger-Weyl semimetals
• Electronic transport and the related anomalous effects in silicene-like hexagonal lattice
• Imbert-Fedorov shift in pseudospin-$N/2$ semimetals and nodal-line semimetals
• Magnetic hourglass fermions: from exhaustive symmetry conditions to high-throughput materials predictions
• Generic phase diagram for Weyl superconductivity in mirror-symmetric superconductors
• Kramers nodal lines in intercalated TaS${}_2$ superconductors
• Intrinsic triple degeneracy point bounded by nodal surfaces in chiral photonic crystal
• Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
• Prediction of Ideal Triple Degenerate Points in HfIrAs and HfIrBi
• Selective Control of Surface Spin Current in Topological Materials based on Pyrite-type OsX2 (X = Se, Te) Crystals
• Symmetry-protected Spinful Magnetic Weyl Nodal Loops and Multi-Weyl Nodes in $5d^n$ Cubic Double Perovskites $(n=1,2)$
• Filling-enforced Dirac loops and their evolutions under various perturbations
• Superconducting properties and gap structure of the topological superconductor candidate Ti_(3)Sb
• Selection rules for quasiparticle interference with internal nonsymmorphic symmetries
• Ultrahigh lattice thermal conductivity in topological semimetal TaN caused by large acoustic-optical gap
• Strain-induced topological charge control in multifold fermion systems
• Synthetic spin-orbit coupling and topological polaritons in Janeys-Cummings lattices
• Observation of spin-tensor induced topological phase transitions of triply degenerate points with a trapped ion
• Soft phonon modes driven huge difference on lattice thermal conductivity between topological semimetal WC and WN
• Multi-terminal Conductance at the Surface of a Weyl Semimetal
• Magnetotransport properties of the new-type topological semimetal ZrTe
• Unconventional Majorana fermions on the surface of topological superconductors protected by rotational symmetry
• Superconducting properties of the spin Hall candidate Ta3Sb with eightfold degeneracy
• Atoms to topological electronic materials: A bedtime story for beginners
• Unconventional Josephson supercurrent diode effect induced by chiral spin-orbit coupling
• Large Fermi-arc and robust Weyl semimetal phase in Ag${}_2$S
• $n$-Hourglass Weyl fermions in nonsymmorphic materials
• Chiral Floquet Engineering on Topological Fermions in Chiral Crystals
• Defect-induced band restructuring and length scales in twisted bilayer graphene
• Charge order induced Dirac pockets in the nonsymmorphic crystal TaTe${}_4$
• Classification of Weyl points and nodal lines based on magnetic point groups for spin-$\frac{1}{2}$ quasiparticles
• Online Search Tool for Graphical Patterns in Electronic Band Structures
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Analysis of the unconventional chiral fermions in a non-centrosymmetric chiral crystal $\text{PtAl}$
• Relativistic non-Fermi liquid from interacting birefringent fermions: A robust superuniversality
• Topological van Hove singularities at phase transitions in Weyl metals
• Topological charge pumping in spin-dependent superlattices with glide symmetry
• Novel criticality of Dirac fermions from lattice symmetry breaking
• Threes Company
• Detection of quantum geometric tensor by nonlinear optical response
• On the possibility of magnetic Weyl fermions in non-symmorphic compound PtFeSb
• Unpaired topological triply degenerate point for spin-tensor-momentum-coupled ultracold atoms
• Chaos based Berry phase detector
• Novel criticality of Dirac fermions in the presence of emergent gauge fields
• Controllable Weyl Nodes and Fermi Arcs from Floquet Engineering Triple Fermions
• Non-Hermitian semi-Dirac semi-metals
• Disorder effects on triple-point fermions
• Finite-size topological phases from semimetals
• Multiplicative topological semimetals
• Hidden role of antiunitary operators in Fierz transformation
• Chiral anomaly and internode scatterings in multifold semimetals
• Cubic Dirac and quadruple Weyl points in screw-symmetric materials
• Fermi surface of the chiral topological semimetal CoSi
• Implementation and characterization of the dice lattice in the electron quantum simulator
• Floquet Engineering of Multifold Fermions
• Possible Realization of Optical Quadratic and Dirac Points in Woodpile Photonic Crystals
• Optical properties of two dimensional Dirac Weyl materials with a flatband
• BaHgSn: A Dirac semimetal with surface hourglass fermions
• Superconducting proximity effect in flat band systems
• Monopole versus spherical harmonic superconductors: Topological repulsion, coexistence and stability
• Nodal line resonance generating the giant anomalous Hall effect of Co${}_3$Sn${}_2$S${}_2$
• Quantum oscillations and weak anisotropic resistivity in the chiral Fermion semimetal PdGa
• Interlocking nodal chains and their examples in carbon networks
• Low-temperature thermal conductivity of Co${}_{1-x}$M${}_x$Si (M=Fe, Ni) alloys
• Inversion symmetry breaking induced triply degenerate points in orderly arranged PtSeTe family materials
• Topological electronic bands in crystalline solids
• Electronic correlations effect on nontrivial topological fermions in CoSi
• Towards the theory of types III and IV non-Hermitian Weyl fermions
• Magnetic tilting and emergent Majorana spin connection in topological superconductors
• Fully linear band crossings at high symmetry points in layers: classification and role of spin-orbit coupling and time reversal
• Topological multiband s-wave superconductivity in coupled multifold fermions
• Topological phonons in arrays of ultracold dipolar particles
• Topological phases in pseudospin-1 Fermi gases with two-dimensional spin-orbit coupling
• Nonlinear charge and thermal transport properties induced by orbital magnetic moment in chiral crystal cobalt monosilicide
• Type-II Dirac line node in strained Na3N
• Time reversal symmetry breaking and $d$-wave superconductivity of triple-point fermions
• A topological classification of molecules and chemical reactions with a perplectic structure
• Spectroscopic evidence of multi-gap superconductivity in non-centrosymmetric AuBe
• Gapless vortex bound states in superconducting topological semimetals
• Unusual Magnetotransport from two dimensional Dirac Fermions in Pd${}_3$Bi${}_2$Se${}_2$
• Enhanced in-plane ferroelectricity, antiferroelectricity, and unconventional 2D emergent fermions in QL-XSbO${}_2$ (X= Li, Na)
• Triply degenerate nodal lines in topological and non-topological metals
• Quantum transport of a spin-1 chiral fermion
• Second-harmonic response as a tool to detect spin textures in magnetic nodal-line semimetal Fe${}_3$GeTe${}_2$
• Gapless Criterion for Crystals from Effective Axion Field
• Topological carbon allotropes: paradigm shift for materials innovation
• Moiré semiconductors on twisted bilayer dice lattice
• Topological Fermi-arc surface resonances in bcc iron
• Intrinsic Orbital Origin for the Chirality-Dependent Nonlinear Planar Hall Effect of Topological Nodal Fermions in Chiral Crystals
• Yukawa-Lorentz symmetry of interacting non-Hermitian birefringent Dirac fermions
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Computing the ${\mathbb{Z}}_2$ Invariant in Two-Dimensional Strongly-Correlated Systems
• Topological Critical Materials of Ternary Compounds
• Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points
• Moiré Collapse and Luttinger Liquids In Twisted Anisotropic Homobilayers
• Optical conductivity of the threefold Hopf semimetal
• Giant Chern number of a Weyl nodal surface without upper limit
• Kramers-Weyl fermions in the chiral charge density wave material (TaSe${}_4$)${}_2$I
• Noncollinear Magnetic Modulation of Weyl Nodes in Ferrimagnetic Mn${}_3$Ga
• Fermionic dualities with axial gauge fields
• Pressure Engineering of the Dirac Fermions in Quasi-One-Dimensional Tl${}_2$Mo${}_6$Se${}_6$
• Transport evidence of triply degenerate nodal semimetal YRh6Ge4
• Chiral Topological Phononic Quasiparticles in Enantiomeric Crystals SrSi${}_2$ and BaSi${}_2$
• Nodal surface and persistent spin texture in a Weyl semimetal without mirror symmetry
• Flat bands in condensed-matter systems -- perspective for magnetism and superconductivity
• Experimental detection of topological electronic state and large linear magnetoresistance in $SrS{n}_4$ superconductor
• Uncovering anisotropic magnetic phases via fast dimensionality analysis
• Towards diluted magnetism in TaAs
• SU(3) fermions in a three-band Graphene-like model
• Encyclopedia of emergent particles in three-dimensional crystals
• Chern-Simons theory and atypical Hall conductivity in the Varma phase
• A synthetic monopole source of Kalb-Ramond field in diamond
• Conservation of chirality at a junction between two Weyl semimetals
• Triplet-Superconductivity in Triple-Band Crossings
• Bringing order to the expanding fermion zoo
• Nonlinear Hall Effect in Antiferromagnetic Half-Heusler Materials
• Chiral phononic and electronic edge modes of EuPtSi
• Nonsymmorphic bosonization in one-dimensional generalized Kitaev spin-1/2 models
• Multiple types of unconventional quasiparticles in the chiral crystal CsBe${}_2$F${}_5$
• Nodal phases in non-Hermitian wallpaper crystals
• Topological phases in $\alpha$-Li${}_3$N-type crystal structure of light-element compounds
• Electrical conductivity and screening effect of spin-1 chiral fermions scattered by charged impurities
• Tunable chiral symmetry breaking in symmetric Weyl materials
• Coexistent topological and chiral phonons in chiral RhGe: An ab initio study
• Three-dimensional time reversal invariant topological superconductivity in doped chiral topological semimetals
• p-wave superconductivity and the axi-planar phase of triple-point fermions
• Topological zero-modes of the spectral localizer of trivial metals
• Chiral anomaly-induced nonlinear Hall effect in spin-orbit coupled noncentrosymmetric metals
• Topological Enhancement of Nonlinear Transports in Unconventional Point-Node Semimetals
• Bound states and point interactions of the one-dimensional pseudospin-one Hamiltonian
• Parallel and anti-parallel helical surface states for topological semimetals
• Correlated Fractional Dirac Materials
• Unveiling Symmetry Instability induced by Topological Phase Transitions
• Common and not so common high-energy theory methods for condensed matter physics
• Winding Topology of Multifold Exceptional Points
• Band Curvature Effects on Quantum Transport of Spin-1 Chiral Fermion Systems
• Observation of pressure-induced Weyl state and superconductivity in a chirality-neutral Weyl semimetal candidate SrSi2
• Topological Signatures in Nodal Semimetals through Neutron Scattering
• Low-Frequency Divergence of Circular Photomagnetic Effect in Topological Semimetals
• Transport and optical properties of the chiral semiconductor Ag3AuSe2
• Thermal and thermoelectric transport in flat bands with non-trivial quantum geometry
• Optical conductivity of triple point fermions
• Layer Construction of Three-Dimensional Z2 Monopole Charge Nodal Line Semimetals and prediction of the abundant candidate materials
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Topological phases of amorphous matter
• Anomalous in-gap edge states in two-dimensional pseudospin-1 Dirac insulators
• Understanding spin textures in PT-broken systems through universal symmetry-constrained rules
• Selective Kondo strong coupling in magnetic impurity flat-band lattices
• Robustness of topological states to lattice instability in non-symmorphic topological insulator KHgSb
• Topological semimetals and insulators in three-dimensional honeycomb materials
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Magneto-optical response of the Weyl semimetal NbAs: Experimental results and hyperbolic-band computations
• Quantum pumping with adiabatically modulated barriers in three-band pseudospin-1 Dirac-Weyl systems
• Magneto-optical Conductance of Kane Fermion Gas in Low Frequencies
• Theory of Photocurrent and High-Harmonic Generation with Chiral Fermions
• Emergence of topological phases from the extension of two-dimensional lattice with nonsymmorphic symmetries
• Preformed Cooper pairs in flat-band semimetals
• Geometric semimetals and their simulation in synthetic matter
• Disentangling contributions to longitudinal magnetoconductivity for Kramers-Weyl nodes
• From quantum geometry to non-linear optics and gerbes: Recent advances in topological band theory
• Surface ferromagnetism in a chiral topological semimetal CoSi
• Morse theory study on the evolution of nodal lines in $\mathcal{P}\mathcal{T}$-symmetric nodal-line semimetals
• Multiband superconductivity in the topological Kramers nodal-line semimetals
• Nonsymmorphic spin-space cubic groups and SU(2)${}_1$ conformal invariance in one-dimensional spin-1/2 models
• A New Era of Quantum Materials Mastery and Quantum Simulators In and Out of Equilibrium
• IrRep: symmetry eigenvalues and irreducible representations of ab initio band structures
• Infrared fixed points of higher-spin fermions in topological semimetals
• Magnon modes as a joint effect of surface ferromagnetism and spin-orbite coupling in CoSi chiral topological semimetal
• Correlated interaction effects in three-dimensional semi-Dirac semimetal
• Equally Spaced Quantum States in van der Waals Epitaxy-Grown Nanoislands
• Discovery of nodal-line superconductivity in chiral crystals
• Topological semimetal phases in a family of monolayer X3YZ6 (X=Nb,Ta, Y=Si,Ge,Sn, Z=S,Se,Te) with abundant nodal lines and nodes
• Photoinduced dc Hall current in few-layer black phosphorus with a gate-tunable Floquet gap
• Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
• High-chirality and multiquaternion Weyl nodes in hexagonal ReO${}_3$
• Fermi Surface Topology and Magneto-transport Properties of Superconducting Pd${}_3$Bi${}_2$Se${}_2$
• Collective plasmonic modes in the chiral multifold fermionic material CoSi
• Robust quantisation of circular photogalvanic effect in multiplicative topological semimetals
• Role of effective mass anisotropy in realizing a hybrid nodal-line fermion state
• Quantum interference in superposed lattices
• Topological $d$-wave Superconductivity and Nodal Line-Arc Intersections in Weyl Semimetals
• Anomalous magnetic transport and extra quantum oscillation in semi-metallic photon-like fermion gas
• Robust Weyl points in a 1D superlattice with transverse spin-orbit coupling
• Current distribution and group velocities for electronic states on $\alpha -{\mathcal{T}}_3$ lattice ribbons in a magnetic field
• Ideal Nodal-Sphere Semimetal in the Three-Dimensional Boron Allotrope CT-B${}_{24}$
• Temperature dependence of quantum oscillations from non-parabolic dispersions
• Symmetry-enforced Fermi degeneracy in topological semimetal RhSb${}_3$
• Charge instability of topological Fermi arcs in chiral crystal CoSi
• Loop unitary and phase band topological invariant in generic multi-band Chern insulators
• Topological Charge Quadrupole Protected by Spin-Orbit U(1) Quasi-Symmetry in Antiferromagnet NdBiPt
• Realization of Photonic Charge-2 Dirac Point by Engineering Super-modes in Topological Superlattices
• Viscoelastic response and anisotropic hydrodynamics in Weyl semimetals
• Symmetry-adapted models for multifold fermions with spin-orbit coupling
• Parity Anomaly of Lattice Maxwell Fermions in Two Spatial Dimensions
• Normal state quantum geometry, non-locality and superconductivity
• Realization of multiple topological states and topological phase transitions in (4,0) carbon nanotube derivatives
• Two-dimensional hourglass Weyl nodal loop in monolayer Pb(ClO${}_2$)${}_2$ and Sr(ClO${}_2$)${}_2$
• Coalescence of Andreev bound states on the surface of a chiral topological semimetal
• Porous-B${}_{18}$: An Ideal Topological Semimetal with Symmetry-Enforced Orthogonal Nodal-Line and Nodal-Surface States
• Bosonization of the $\mathbf{Q}=0$ continuum of Dirac Fermions
• Three-dimensional honeycomb carbon: Junction line distortion and novel emergent fermions
• Distinguishing features of longitudinal magnetoconductivity for a Rarita-Schwinger-Weyl node
• Dichotomy of flat bands in the van der Waals ferromagnet Fe${}_5$GeTe${}_2$
• Light-induced pseudo-magnetic fields in three-dimensional topological semimetals
• Direct Measurement of Helicoid Surface States in RhSi using Nonlinear Optics
• Spin-to-charge conversion in orthorhombic RhSi topological semimetal crystalline thin films
• Physical properties of RhGe and CoGe single crystals synthesized under high pressure
• Topological photocurrent responses from chiral surface Fermi arcs
• Fermi surface and topology of multiband superconductor BeAu
• Anomalous Chiral Anomaly in Spin-1 Fermionic Systems
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice
• Superconductivity in multi-Weyl semimetals: Conditions for the coexistence of topological and conventional phases
• Zero Indirect Band Gap in Non-Hermitian Systems
• Topological Charges, Fermi Arcs, and Surface States of $K_4$ Crystal
• Volkov-Pankratov states in a driven semimetal for a generic interface
• Fermi surface and Berry phase analysis for Dirac nodal line semimetals: cautionary tale to SrGa${}_2$ and BaGa${}_2$
• Universal intrinsic higher-rank spin Hall effect
• Resonant inelastic X-ray scattering in the topological semimetal FeSi
• Identification of chirality of chiral multifold fermions in anti-crystals
• Glide-resolved photoemission spectroscopy: Measuring topological invariants in nonsymmorphic space groups
• Fermi Surface Reconstruction and Anisotropic Linear Magnetoresistance in the Charge Density Wave Topological Semimetal TaTe4
• Metamorphic InAs1-xSbx/InAs1-ySby superlattices with ultra-low bandgap as a Dirac material
• Quantum Transport in Spin-1 Chiral Fermion: Self-Consistent Born Approximation
• Discovery of ideal Weyl points with helicoid surface states
• Exact solutions of Kondo problems in higher-order fermions
• Suppression of second-harmonic generation from linear bands in the topological multifold semimetal RhSi
• Triply-degenerate point in three-dimensional spinless systems
• Higher-order topological insulator in cubic semiconductor quantum wells
• Surface states and finite size effects in triple-fold semimetals
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Magnetically tunable Dirac and Weyl fermions in the Zintl materials family
• Electronic structure and hinge states of strained half-Heusler compounds LiSbZn and LiBiZn
• Anomalous transport in Kane fermions
• Flat Topological Nodal Lines in Heavy-Fermion Compound CeCoGe${}_3$
• Fermi surface topology and non-trivial Berry phase in the flat-band semimetal Pd${}_3$Pb
• Revealing Spin and Spatial Symmetry Decoupling: New Insights into Magnetic Systems with Dzyaloshinskii-Moriya Interaction
• Magnetic topological Weyl fermions in half-metallic In${}_2$CoSe${}_4$
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
• Crystalline symmetry-protected non-trivial topology in prototype compound BaAl${}_4$
• Quantized Berry winding from an emergent $\mathcal{P}\mathcal{T}$ symmetry
• Theory for the negative longitudinal magnetoresistance in the quantum limit of Kramers Weyl semimetals
• Emergence of Type-I and Type-II Dirac line nodes in penta-octa-graphene
• Relativistic collapse of Landau levels of Kane fermions in crossed electric and magnetic fields
• Beyond spin-1/2: Multipolar spin-orbit coupling in noncentrosymmetric crystals with time-reversal symmetry
• Magnetoexcitons and Massive Dirac Fermions in Monolayers of Transition Metal Dichalcogenides in a High Magnetic Field
• Three-dimensional spin-orbital liquids
• Weyl excitations via helicon-phonon mixing in conducting materials