Symmetry Demanded Topological Nodal-line Materials

Abstract

The realization of Dirac and Weyl physics in solids has made topological materials one of the main focuses of condensed matter physics. Recently, the topic of topological nodal line semimetals, materials in which Dirac or Weyl-like crossings along special lines in momentum space create either a closed ring or line of degeneracies, rather than discrete points, has become a hot topic in topological quantum matter. Here we review the experimentally confirmed and theoretically predicted topological nodal line semimetals, focusing in particular on the symmetry protection mechanisms of the nodal lines in various materials. Three different mechanisms: a combination of inversion and time-reversal symmetry, mirror reflection symmetry, and non-symmorphic symmetry, and their robustness under the effect of spin orbit coupling are discussed. We also present a new Weyl nodal line material, the Te-square net compound KCu${}_2$EuTe${}_4$, which has several Weyl nodal lines including one extremely close to the Fermi level ($<$30 meV below E${}_F$). Finally, we discuss potential experimental signatures for observing exotic properties of nodal line physics.

References in corpus (110)

• Topological Insulators
• Topological insulators and superconductors
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Topological Materials: Weyl Semimetals
• Topological nodal semimetals
• Titanic Magnetoresistance in WTe2
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd${}_3$As${}_2$
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• Multiple Dirac cones at the surface of the topological metal LaBi
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• Discovery of a Weyl Fermion semimetal state in NbAs
• Topological nodal line semimetals with and without spin-orbital coupling
• Dirac Line Nodes in Inversion Symmetric Crystals
• Topological Nodal Line Semimetal and Dirac Semimetal State in Antiperovskite Cu${}_3$PdN
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Dirac Cone Protected by Non-Symmorphic Symmetry and 3D Dirac Line Node in ZrSiS
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Topological nodal line semimetals
• Recent developments in transport phenomena in Weyl semimetals
• Dirac Semimetals in Two Dimensions
• Prediction of the Weyl semimetal in the orthorhombic MoTe2
• Nodal-chain metals
• High-temperature surface superconductivity in topological flat-band systems
• Spectroscopic evidence for type II Weyl semimetal state in MoTe2
• Landau Quantization and Quasiparticle Interference in the Three-Dimensional Dirac Semimetal Cd3As2
• Topological nodal-line fermions in ZrSiSe and ZrSiTe
• Charge Transport in Weyl Semimetals
• Observation of the Type-II Weyl Semimetal Phase in MoTe2
• Giant negative magnetoresistance induced by the chiral anomaly in individual Cd3As2 nanowires
• Dirac vs. Weyl in topological insulators: Adler-Bell-Jackiw anomaly in transport phenomena
• Observation of Topological Nodal Fermion Semimetal Phase in ZrSiS
• Topological Semimetals Predicted from First-principles Calculations
• Topological semi-metals with line nodes and drumhead surface states
• Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe2
• Potential ring of Dirac nodes in a new polymorph of Ca${}_3$P${}_2$
• Consequences of breaking time reversal symmetry in LaSb: a resistivity plateau and extreme magnetoresistance
• Photocurrents in Weyl semimetals
• Line of Dirac Nodes in Hyper-Honeycomb Lattices
• Flat bands in topological media
• Semimetal and Topological Insulator in Perovskite Iridates
• 3D Dirac semimetals: current materials, design principles and predictions of new materials
• Line-Node Dirac Semimetal and Topological Insulating Phase in Noncentrosymmetric Pnictides CaAgX (X = P, As)
• Topological Nodal Line Semimetals in CaP3 family of materials
• Large linear magnetoresistance in Dirac semi-metal Cd3As2 with Fermi surfaces close to the Dirac points
• Tunable Weyl Points in Periodically Driven Nodal Line Semimetals
• Cd3As2 is Centrosymmetric
• Interplay of Spin-Orbit Interactions, Dimensionality, and Octahedral Rotations in Semimetallic SrIrO${}_3$
• Topological nodal-line semimetals in alkaline-earth stannides, germanides and silicides
• Helicity protected ultrahigh mobility Weyl fermions in NbP
• Quasiparticle interference of the Fermi arcs and surface-bulk connectivity of a Weyl semimetal
• Superconducting Topological Surface States in Non-centrosymmetric Bulk Superconductor PbTaSe2
• When chiral photons meet chiral fermions - Photoinduced anomalous Hall effects in Weyl semimetals
• Unexpected Dirac-Node Arc in the Topological Line-Node Semimetal HfSiS
• Two-Dimensional Oxide Topological Insulator With Iron-Pnictide Superconductor LiFeAs Structure
• Criteria for directly detecting topological Fermi arcs in Weyl semimetals
• Landau Level Quantization and Almost Flat Modes in Three-dimensional Semi-metals with Nodal Ring Spectra
• Dirac Line-nodes and Effect of Spin-orbit Coupling in Non-symmorphic Critical Semimetal MSiS (M=Hf, Zr)
• A Non-Centrosymmetric Superconductor with a Bulk 3D Dirac Cone Gapped by Strong Spin Orbit Coupling
• Aharonov-Bohm oscillations in Dirac semimetal Cd3As2 nanowires
• Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
• Long-range Coulomb interaction in nodal-ring semimetals
• From Nodal Chain Semimetal To Weyl Semimetal in HfC
• Compensated semimetal LaSb with unsaturated magnetoresistance
• Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in $\beta$-Li2IrO3: full solution via magnetic resonant x-ray diffraction
• Coexistence of four-band nodal rings and triply-degenerate nodal points in centrosymmetric metal diborides
• Room-temperature chiral charge pumping in Dirac semimetals
• Metal insulator transitions in perovskite SrIrO3 thin films
• Interplay between spin-orbit coupling and Hubbard interaction in SrIrO3 and related Pbnm perovskites
• Three dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite-D approximation
• CaTe: a new topological node-line and Dirac semimetal
• Direct Observation of Nonequivalent Fermi-Arc States of Opposite Surfaces in Noncentrosymmetric Weyl Semimetal NbP
• Temperature-field phase diagram of extreme magnetoresistance in lanthanum monopnictides
• Non-symmorphic band degeneracy at the Fermi level in ZrSiTe
• Extremely large and significantly anisotropic magnetoresistance in ZrSiS single crystals
• Topological Dirac States and Pairing Correlations in the Non-Centrosymmetric Superconductor PbTaSe2
• Visualizing "Fermi arcs" in the Weyl semimetal TaAs
• Observation of pseudo two dimensional electron transport in the rock salt type topological semimetal LaBi
• Heisenberg-Kitaev model on hyperhoneycomb lattice
• Electron-hole compensation effect between topologically trivial electrons and nontrivial holes in NbAs
• Compressive strain-induced metal-insulator transition in orthorhombic SrIrO3 thin films
• Correlation and transport phenomena in topological nodal-loop semimetals
• Chiral pumping effect induced by rotating electric fields
• Direct observation of the Dirac nodes lifting in semimetallic perovskite SrIrO3 thin films
• Emergence of topological bands on the surface of ZrSnTe crystal
• Strain-induced nonsymmorphic symmetry breaking and removal of Dirac semimetallic nodal line in an orthoperovskite iridate
• Photovoltaic Chiral Magnetic Effect
• Loop-nodal and Point-nodal Semimetals in Three-dimensional Honeycomb Lattices
• Exotic Superconducting Properties in Topological Nodal Semimetal PbTaSe${}_2$
• Photovoltaic anomalous Hall effect in line-node semimetals
• Asymmetric mass acquisition in LaBi - a new topological semimetal candidate
• From Standard Model of particle physics to room-temperature superconductivity
• Nodeless superconductivity in noncentrosymmetric PbTaSe${}_2$ single crystals
• Sensitively Temperature-Dependent Spin Orbit Coupling in SrIrO3 Thin Films
• Order-by-disorder and magnetic field response in Heisenberg-Kitaev model on a hyperhoneycomb lattice
• Topological and magnetic phases with strong spin-orbit coupling on the hyperhoneycomb lattice
• Topological Crystalline Metal in Orthorhombic Perovskite Iridates

Cited by in corpus (89)

• Electronic Transport and quantum oscillation of Topological Semimetals
• Topological Semimetals from first-principles
• Chemical Principles of Topological Semimetals
• Giant Intrinsic Spin Hall Effect in W${}_3$Ta and other A15 Superconductors
• Intrinsic mechanism for anisotropic magnetoresistance and experimental confirmation in Co${}_x$Fe${}_{1-x}$ single-crystal films
• Topological phonons in oxide perovskites controlled by light
• Dirac nodal line metal for topological antiferromagnetic spintronics
• A systematic study of stacked square nets: from Dirac fermions to material realizations
• Topological band crossings in hexagonal materials
• Hourglass-like Nodal Net Semimetal in Ag2BiO3
• Multi-gap topology and non-Abelian braiding of phonons from first principles
• Co-existence of spin semi-metallic and Weyl semi-metallic behavior in FeRhCrGe
• Symmetry-enforced band crossings in tetragonal materials: Dirac and Weyl degeneracies on points, lines, and planes
• Pseudo Dirac Nodal Sphere: Unusual Electronic Structure and Material Realization
• Modular Arithmetic with Nodal Lines: Drumhead Surface States in ZrSiTe
• Topological electronic structure in the antiferromagnet HoSbTe
• Observation of Topological Surface State in High Temperature Superconductor MgB2
• Underlying topological Dirac nodal line mechanism of anomalously large electron-phonon coupling strength on Be (0001) surface
• Materials Informatics for Dark Matter Detection
• Tuning the nontrivial topological properties of the Weyl semimetal CeAlSi
• Topological features in the ferromagnetic Weyl semimetal CeAlSi: Role of domain walls
• Ferromagnetic helical nodal line and Kane-Mele spin-orbit coupling in kagome metal Fe3Sn2
• Semi-Dirac and Weyl Fermions in Transition Metal Oxides
• The Wannier Function Software Ecosystem for Materials Simulations
• Conditions for electronic hybridization between transition-metal dichalcogenide monolayers and physisorbed carbon-conjugated molecules
• Symmetry-enforced band crossings in trigonal materials: Accordion states and Weyl nodal lines
• Topological semimetal phases manifested in transition metal dichalcogenides intercalated with 3d metals
• Multiple Symmetry-Protected Dirac Nodal Lines in A Quasi-One-Dimensional Semimetal
• Evidence of topological nodal lines and surface states in the centrosymmetric superconductor SnTaS2
• Evidence for bulk nodal loops and universality of Dirac-node arc surface states in ZrGeXc (Xc = S, Se, Te)
• Longitudinal magnetoconductance and the planar Hall effect in a lattice model of tilted Weyl fermions
• Two-dimensional topological semimetal states in monolayers Cu${}_2$Ge, Fe${}_2$Ge, and Fe${}_2$Sn
• Transverse thermopower in Dirac and Weyl semimetals
• Weyl nodal point-line Fermion in ferromagnetic Eu${}_5$Bi${}_3$
• Spectroscopic Evidence for Dirac Nodal Surfaces and Nodal Rings in Superconductor NaAlSi
• Magnetic and electronic structure of the topological semimetal YbMnSb${}_2$
• Symmetry-selective quasiparticle scattering and electric field tunability of the ZrSiS surface electronic structure
• Higher-order topological semimetals and nodal superconductors with an order-two crystalline symmetry
• Electronic Structure of a Single-Component Molecular Conductor [Pd(dddt)${}_2$] (dddt = 5,6-dihydro-1,4-dithiin-2,3-dithiolate) under High Pressure
• Chiralities of nodal points along high symmetry lines with screw rotation symmetry
• Termination Dependent Topological Surface States in Nodal Loop Semimetal HfP2
• Berry Phase of Dirac Nodal Line Semimetal in Single-Component Molecular Conductor
• Hund nodal line semimetals: The case of twisted magnetic phase in the double-exchange model
• Optical conductivity signatures of open Dirac nodal lines
• Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals
• Electronic structure in a rare-earth based nodal-line semimetal candidate PrSbTe
• Electronic and magnetic properties of stoichiometric CeAuBi${}_2$
• Dirac nodal lines in the quasi-one-dimensional ternary telluride TaPtTe${}_5$
• Face centered cubic SnSe as a ${\mathbb{Z}}_2$ trivial Dirac nodal line material
• Symmetry-protected Spinful Magnetic Weyl Nodal Loops and Multi-Weyl Nodes in $5d^n$ Cubic Double Perovskites $(n=1,2)$
• Topological electronic structure and Weyl points in nonsymmorphic hexagonal materials
• Spin-orbit-stable type-II nodal line band crossing in n-doped monolayer MoX2 (X=S,Se,Te)
• Quasiparticle interference observation of the topologically non-trivial drumhead surface state in ZrSiTe
• Longitudinal DC Conductivity in Dirac Nodal Line Semimetals: Intrinsic and Extrinsic Contributions
• Unusual Resistive Transitions in the Nodal-Line Semimetallic Superconductor NaAlSi
• Role of Velocity Field and Principal Axis of Tilted Dirac Cones in Effective Hamlitonan of Non-Coplanar Nodal Loop
• Topological surface states above the Fermi energy in ${\text{Hf}}_2{\text{Te}}_2\text{P}$
• Light-induced ultrafast glide-mirror symmetry breaking in black phosphorus
• Accurate first-principle bandgap predictions in strain-engineered ternary III-V semiconductors
• Spin and charge transport in topological nodal-line semimetals
• Multi higher-order Dirac and nodal line semimetals
• Nodal line resonance generating the giant anomalous Hall effect of Co${}_3$Sn${}_2$S${}_2$
• Topological electronic bands in crystalline solids
• Anomalous Hall signatures of nonsymmorphic nodal lines in doped chromium chalcospinel CuCr${}_2$Se${}_4$
• Laser induced surface magnetization in Floquet-Weyl semimetals
• Topological phases in $\alpha$-Li${}_3$N-type crystal structure of light-element compounds
• Collective modes in imbalanced nodal line semimetal
• Pseudogap Formation in the Nodal-Line Semimetal NaAlGe
• Type-II Dirac Nodal Lines in double-kagome-layered CsV${}_8$Sb${}_{12}$
• Emergent impervious band crossing in the bulk in topological nodal line semimetal ZrAs${}_2$
• Electronic structures near unmovable nodal points and lines in two-dimensional materials
• Unconventional Topological Insulators from Extended Topological Band Degeneracies
• Fragile topology in nodal-line semimetal superconductors
• Quantum critical scaling of gapped phases in nodal-line semimetals
• Disorder induced dynamical interband response in Dirac nodal line semimetals
• Two-dimensional Dirac semimetals with tunable edge states
• Movable but unavoidable nodal lines through high-symmetry points in two-dimensional materials
• Magneto-thermoelectricty of anisotropic two-dimensional materials
• Floquet-Weyl semimetals generated by an optically resonant interband-transition
• Reshaping the anomalous Hall response in tilted 3D system with disorder correction
• CeAu${}_2$Bi: a new nonsymmorphic antiferromagnetic compound
• Surface magnon spectra of nodal loop semimetals
• Energy relaxation dynamics in a nodal-line semimetal
• Ultrafast Carrier Relaxation and Second Harmonic Generation in a Higher-Fold Weyl Fermionic System PtAl
• Interband response in spin-orbit coupled nodal line semimetals
• Quasi-nodal lines in rhombohedral magnetic materials
• Unveiling Novel Resonant Interband Contribution to Polarizability in three-dimensional systems
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
• Symmetry-forbidden intraband transitions leading to ultralow Gilbert damping in van der Waals ferromagnets