Double Dirac Semimetals in Three Dimensions

Abstract

We study a class of Dirac semimetals that feature an eightfold-degenerate double Dirac point. We show that 7 of the 230 space groups can host such Dirac points and argue that they all generically display linear dispersion. We introduce an explicit tight-binding model for space groups 130 and 135, showing that 135 can host an intrinsic double Dirac semimetal -- one with no additional degeneracies at the Fermi energy. We consider symmetry-lowering perturbations and show that uniaxial compressive strain in different directions leads to topologically distinct insulating phases. In addition, the double Dirac semimetal can accommodate topological line defects that bind helical modes. Potential materials realizations are discussed.

5 pages + supplementary information

References in corpus (12)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• The electronic properties of graphene
• Topological Insulators with Inversion Symmetry
• Topological Field Theory of Time-Reversal Invariant Insulators
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Helical Metal Inside a Topological Band Insulator
• Potential ring of Dirac nodes in a new polymorph of Ca${}_3$P${}_2$
• Surface States of Perovskite Iridates AIrO${}_3$; Signatures of Topological Crystalline Metal with Nontrivial ${\mathbb{Z}}_2$ Index
• Topological Crystalline Metal in Orthorhombic Perovskite Iridates

Cited by in corpus (212)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Nodal-chain metals
• Progress and prospects in magnetic topological materials
• Topological quantum properties of chiral crystals
• Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials
• Multiple types of topological fermions in transition metal silicides
• Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
• New classes of chiral topological nodes with non-contractible surface Fermi arcs in CoSi
• Experimental Observation of Three-Component 'New Fermions' in Topological Semimetal MoP
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Triple Point Topological Metals
• Chiral Topological Semimetal with Multifold Band Crossings and Long Fermi arcs
• Angle-resolved photoemission spectroscopy and its application to topological materials
• Building Blocks of Topological Quantum Chemistry: Elementary Band Representations
• Structure and Topology of Band Structures in the 1651 Magnetic Space Groups
• Band Topology and Linking Structure of Nodal Line Semimetals with Z2 Monopole Charges
• Electronic Transport and quantum oscillation of Topological Semimetals
• Topological Semimetals from first-principles
• Topological Hopf and chain link semimetal states and their application to Co2MnGa (Theory and Materials Prediction)
• Spin-group symmetry in magnetic materials with negligible spin-orbit coupling
• Chemical Principles of Topological Semimetals
• Robust doubly charged nodal lines and nodal surfaces in centrosymmetric systems
• Strong and Fragile Topological Dirac Semimetals with Higher-Order Fermi Arcs
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• Chiral Optical Response of Multifold Fermions
• All Topological Bands of All Nonmagnetic Stoichiometric Materials
• Theoretical prediction of magnetic and noncentrosymmetric Weyl fermion semimetal states in the R-Al-X family of compounds (R=rare earth, Al=aluminium, X=Si, Ge)
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Topological Materials Discovery from Crystal Symmetry
• Dirac nodal lines and induced spin Hall effect in metallic rutile oxides
• From Nodal Chain Semimetal To Weyl Semimetal in HfC
• Wallpaper Fermions and the Nonsymmorphic Dirac Insulator
• Tunable Weyl and Dirac states in the nonsymmorphic compound $\mathbf{CeSbTe}$
• Coexistence of four-band nodal rings and triply-degenerate nodal points in centrosymmetric metal diborides
• New fermions on the line in topological symmorphic metals
• Filling-Enforced Gaplessness in Band Structures of the 230 Space Groups
• First Principles Calculations for Topological Quantum Materials
• A Charge-Density-Wave Topological Semimetal
• Spin-Orbit Semimetals in the Layer Groups
• Three-component fermions with surface Fermi arcs in topological semimetal tungsten carbide
• Graph Theory Data for Topological Quantum Chemistry
• Dirac and nodal line magnons in three-dimensional antiferromagnets
• Non-symmorphic band degeneracy at the Fermi level in ZrSiTe
• Pseudo-electromagnetic fields in topological semimetals
• Topological insulators and semimetals in classical magnetic systems
• Low-energy type-II Dirac fermions and spin-polarized topological surface states in transition-metal dichalcogenide NiTe${}_2$
• Twofold quadruple Weyl nodes in chiral cubic crystals
• Predicted Realization of Cubic Dirac Fermion in Quasi-One-Dimensional Transition-Metal MonoChalcogenides
• The study of magnetic topological semimetals by first principles calculations
• Prediction of triple point fermions in simple half-Heusler topological insulators
• Non-abelian topology of nodal-line rings in $\mathcal{P}\mathcal{T}$-symmetric systems
• Higher-order Dirac fermions in three dimensions
• Linear and nonlinear optical responses in the chiral multifold semimetal RhSi
• Filling-enforced Magnetic Dirac Semimetals in Two Dimensions
• The Dirac-Weyl semimetal: Coexistence of Dirac and Weyl fermions in polar hexagonal $ABC$ crystals
• Three-dimensional photonic Dirac points stabilized by point group symmetry
• Route Towards Dirac and Weyl Antiferromagnetic Spintronics
• Multifold nodal points in magnetic materials
• Observation of giant spin-split Fermi-arc with maximal Chern number in the chiral topological semimetal PtGa
• Higher-Order Topological Dirac Superconductors
• Crystal growth and quantum oscillations in the topological chiral semimetal CoSi
• A Family Group of Two-dimensional Node-Line Semimetals
• Spinless hourglass nodal-line semimetals
• A Class of topological nodal rings and its realization in carbon networks
• Optical signatures of multifold fermions in the chiral topological semimetal CoSi
• Soft self-assembly of Weyl materials for light and sound
• Quasiparticle Interference Evidence of the Topological Fermi Arc States in Chiral Fermionic Semimetal CoSi
• Current-Voltage Characteristics of Weyl Semimetal Semiconducting Devices, Veselago Lenses and Hyperbolic Dirac Phase
• Global band topology of simple and double Dirac-point (semi-)metals
• Chiral fermion reversal in chiral crystals
• Systematic investigation of emergent particles in type-III magnetic space groups
• Mott insulators with boundary zeros
• Exhaustive constructions of effective models in 1651 magnetic space groups
• Observation of a nodal chain with Dirac surface states in TiB2
• Multiple-Fold Fermions and Topological Fermi Arcs Induced Catalytic Enhancement in Nanoporous Electride C12A7
• Type-I and type-II Nodal Lines Coexistence in the Antiferromagnetic monolayer CrAs${}_2$
• Antiferromagnetic Dirac Semimetals in Two Dimensions
• A systematic study of stacked square nets: from Dirac fermions to material realizations
• Complete classification of band nodal structures
• Unconventional quantum Hall effects in two-dimensional massive spin-1 fermion systems
• Observation of multiple types of topological fermions in PdBiSe
• Hourglass-like Nodal Net Semimetal in Ag2BiO3
• Weyl phonons in chiral crystals
• Observation of Dirac hierarchy in three-dimensional acoustic topological insulators
• Topological Materials Discovery using Electron Filling Constraints
• Line nodes, Dirac points and Lifshitz transition in 2D nonsymmorphic photonic crystals
• Impurity-induced triple point fermions in twisted bilayer graphene
• Interplay between altermagnetism and nonsymmorphic symmetries generating large anomalous Hall conductivity by semi-Dirac points induced anticrossings
• Kramers Nodal Line Metals
• Coexistence of New Fermions in Topological Semimetal TaS
• Antiferromagnetic Topological Nodal Line Semimetals
• Pseudospin 3/2 Fermions, Type-II Weyl Semimetals and Critical Weyl Semimetals in Tricolor Cubic Lattice
• Coexistence of Tunable Weyl Points and Topological Nodal Lines in Ternary Transition-Metal Telluride TaIrTe4
• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• Manipulation and braiding of Weyl nodes using symmetry-constrained phase transitions
• Symmetry-enforced band crossings in tetragonal materials: Dirac and Weyl degeneracies on points, lines, and planes
• Eightfold Fermionic Excitation in a Charge Density Wave Compound
• Modular Arithmetic with Nodal Lines: Drumhead Surface States in ZrSiTe
• Axionic Band Topology in Inversion-Symmetric Weyl-Charge-Density Waves
• Symmetry-Enforced Nodal Chain Phonons
• Coexistience of phononic six-fold, four-fold and three-fold excitations in ternary antimonide Zr3Ni3Sb4
• Starfruit-like nodal semimetal to Dirac and Weyl semimetal state in CaAuAs
• Three-dimensional organic Dirac-line materials due to nonsymmorphic symmetry: a data mining approach
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• A group theoretical route to deterministic Weyl points in chiral photonic lattices
• Chiral anomaly enhancement and photo-irradiation effects in multi-band touching fermion systems
• Trivial topological phase of CaAgP and the topological nodal-line transition in CaAg(P1-xAsx)
• Classical Spin Spirals in Frustrated Magnets from Free-Fermion Band Topology
• Topology of Triple-Point Metals
• Data Mining for Three-Dimensional Organic Dirac Materials: Focus on Space Group 19
• Classification of Dirac points with higher-order Fermi arcs
• Non-Abelian Generalizations of the Hofstadter model: Spin-orbit-coupled Butterfly Pairs
• Prediction of three-fold fermions in a nearly-ideal Dirac semimetal BaAgAs
• Kramers nodal lines and Weyl fermions in SmAlSi
• Generalized Triple-Component Fermions: Lattice Model, Fermi arcs, and Anomalous Transport
• Ferromagnetic Type-II Weyl Semimetal in Pyrite Chromium Dioxide
• Non-Abelian tensor Berry connections in multi-band topological systems
• Double Dirac Nodal Line Semimetal with Torus Surface State
• A Photoinduced Floquet Mixed-Weyl Semimetallic Phase in a Carbon Allotrope
• Universal phase transition and band structures for spinless nodal-line and Weyl semimetals
• Room-Temperature Ferromagnetic Topological Phase in CrO${}_2$: From Tripe Fermions to Weyl Fermions
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• Strongly correlated double Dirac fermions
• Symmetry-enforced Band Nodes in 230 Space Groups
• Chiral Dirac-like fermion in spin-orbit-free antiferromagnetic semimetals
• Multiple Symmetry-Protected Dirac Nodal Lines in A Quasi-One-Dimensional Semimetal
• Ground state stability, symmetry, and degeneracy in Mott insulators with long range interactions
• Triple point semimetal and topological phase transitions in NaCu${}_3$Te${}_2$
• Noncentrosymmetric topological Dirac semimetals in three dimensions
• Multiple band-crossings and Fermi surface topology: role of double nonsymmorphic symmetries in MnP-type crystal structures
• Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
• Nodal higher-order topological superconductivity from a ${\mathcal{C}}_4$-symmetric Dirac semimetal
• Ferromagnetic nodal-line metal in monolayer {\em h}-InC
• Type-II Dirac states in full Heusler compounds XInPd2 (X = Ti, Zr and Hf)
• Type-II topological metals
• Topological Gapless Phases in Non-Symmorphic Antiferromagnets
• Topologically nontrivial electronic states in CaSn${}_3$
• Topological Superconductivity from Unconventional Band Degeneracy with Conventional Pairing
• Symmetry protection and giant Fermi arcs from multifold fermions in binary, ternary, and quaternary compounds
• Quantum kinetics of anomalous and nonlinear Hall effects in topological semimetals
• Time-reversal symmetric topological metal
• Dynamical conductivity in multiply-degenerate point-nodal semimetal CoSi
• Robust Weyl semimetallic phase in face-centered orthogonal C6 with helical carbon chains
• Realization of Practical Eightfold Fermions and Fourfold van Hove Singularity in TaCo${}_2$Te${}_2$
• Emergence of topological electronic phases in elemental lithium under pressure
• Large spin Hall conductivity and excellent hydrogen evolution reaction activity in unconventional PtTe1.75 monolayer
• Symmetry driven topological phases in XAgBi (X=Ba,Sr): An Ab-initio hybrid functional calculations
• Superconductivity of anomalous pseudospin
• Dirac surface states, multiorbital dimerization and superconductivity in Nb- and Ta-based A15 compounds
• Topological metal bands with double-triple-point fermions in optical lattices
• Chemical-Strain Induced Tilted Dirac Nodes in (BEDT-TTF)${}_2$X${}_3$ (X = I, Cl, Br, F) Based Charge-Transfer Salts
• Multiple Dirac Nodes and Symmetry Protected Dirac Nodal Line in Orthorhombic $\alpha$-RhSi
• Multiple Triple-Point Fermions in Heusler Compounds
• Triple nodal points characterized by their nodal-line structure in all magnetic space groups
• Tunable two-dimensional Dirac nodal nets
• Visualizing higher-fold topology in chiral crystals
• Pyramids and cootie catchers: new massless fermions in 2D materials
• Structure, physical properties, and magnetically tunable topological phases in topological semimetal EuCuBi
• LaN Structural and Topological Transitions Driven by Temperature and Pressure
• Kramers nodal lines in intercalated TaS${}_2$ superconductors
• Chiral topological metals with multiple types of quasiparticle fermions and large spin Hall effect in the SrGePt family materials
• Generic phase diagram for Weyl superconductivity in mirror-symmetric superconductors
• Dynamical polarization, optical conductivity and plasmon mode of a linear triple component fermionic system
• Filling-enforced Dirac loops and their evolutions under various perturbations
• Novel Family of Topological Semimetals with Butterfly-like Nodal Lines
• Strain-induced topological charge control in multifold fermion systems
• Superconducting properties of the spin Hall candidate Ta3Sb with eightfold degeneracy
• Charge order induced Dirac pockets in the nonsymmorphic crystal TaTe${}_4$
• Dual topological nodal line and nonsymmorphic Dirac semimetal in three dimensions
• Movable but not removable band degeneracies in a symmorphic crystal
• Online Search Tool for Graphical Patterns in Electronic Band Structures
• On the possibility of magnetic Weyl fermions in non-symmorphic compound PtFeSb
• Threes Company
• Electronic correlations effect on nontrivial topological fermions in CoSi
• Fully linear band crossings at high symmetry points in layers: classification and role of spin-orbit coupling and time reversal
• Type-II Dirac line node in strained Na3N
• Topological Fermi-arc surface resonances in bcc iron
• Optical conductivity of the threefold Hopf semimetal
• Tunneling in an anisotropic cubic Dirac semi-metal
• Fermionic dualities with axial gauge fields
• Transport evidence of triply degenerate nodal semimetal YRh6Ge4
• Designing single and degenerate flat bands in the kagome lattice with long-range hopping
• Gapless vortex bound states in superconducting topological semimetals
• Triply degenerate nodal lines in topological and non-topological metals
• Unusual Magnetotransport from two dimensional Dirac Fermions in Pd${}_3$Bi${}_2$Se${}_2$
• Crystal-symmetry-protected gapless vortex-line phases in superconducting Dirac semimetals
• Bringing order to the expanding fermion zoo
• Chiral phononic and electronic edge modes of EuPtSi
• Nonlinear Hall Effect in Antiferromagnetic Half-Heusler Materials
• Triplet-Superconductivity in Triple-Band Crossings
• Encyclopedia of emergent particles in three-dimensional crystals
• Tunneling phase diagrams in anisotropic Multi-Weyl semimetals
• Topological Enhancement of Nonlinear Transports in Unconventional Point-Node Semimetals
• Topologically Protected Doubling of Tilted Dirac Fermions in Two Dimensions
• Topological Descendants of Multicritical EuTl2
• Theory of Photocurrent and High-Harmonic Generation with Chiral Fermions
• Tunable two-dimensional Dirac-Weyl semimetal phase induced by altermagnetism
• Geometric semimetals and their simulation in synthetic matter
• IrRep: symmetry eigenvalues and irreducible representations of ab initio band structures
• Realization of Hopf-link structure in phonon spectra: Symmetry guidance and High-throughput investigation
• High-chirality and multiquaternion Weyl nodes in hexagonal ReO${}_3$
• Topological Fermi-arc-like surface states in Kramers nodal line metals
• Symmetry-adapted models for multifold fermions with spin-orbit coupling
• Simple Models for All Topological Phases
• Probing the topological protection of edge states in multilayer tungsten ditelluride with the superconducting proximity effect
• Relativistic collapse of Landau levels of Kane fermions in crossed electric and magnetic fields
• Suppression of second-harmonic generation from linear bands in the topological multifold semimetal RhSi
• Fermi Surface Reconstruction and Anisotropic Linear Magnetoresistance in the Charge Density Wave Topological Semimetal TaTe4
• Non-adiabatic corrections to chiral charge pumping in topological nodal semimetals
• Tunable SSH model in ferromagnetic systems
• Emergence of Type-I and Type-II Dirac line nodes in penta-octa-graphene