Dirac Line Nodes in Inversion Symmetric Crystals

Abstract

We propose and characterize a new ${\mathbb{Z}}_2$ class of topological semimetals with a vanishing spin--orbit interaction. The proposed topological semimetals are characterized by the presence of bulk one-dimensional (1D) Dirac Line Nodes (DLNs) and two-dimensional (2D) nearly-flat surface states, protected by inversion and time--reversal symmetries. We develop the ${\mathbb{Z}}_2$ invariants dictating the presence of DLNs based on parity eigenvalues at the parity--invariant points in reciprocal space. Moreover, using first-principles calculations, we predict DLNs to occur in Cu${}_3$N near the Fermi energy by doping non-magnetic transition metal atoms, such as Zn and Pd, with the 2D surface states emerging in the projected interior of the DLNs. This paper includes a brief discussion of the effects of spin--orbit interactions and symmetry-breaking as well as comments on experimental implications.

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• Many-body effects in nodal-line semimetals: correction to the optical conductivity
• Spin and charge transport in topological nodal-line semimetals
• Giant nonlinear response due to unconventional oscillation in Nodal-line semimetals
• Broken-symmetry phases of interacting nested Weyl and Dirac loops
• Remote control of spin polarization of topological corner states
• Elastic gauge fields and zero-field 3D quantum Hall effect in hyperhoneycomb lattices
• Type-II Dirac line node in strained Na3N
• Nodal lines and mapping to mirror Chern numbers in Ca${}_2$As family
• Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
• Observation of a flat and extended surface state in a topological semimetal
• Tight-Binding Model and Electronic Property of Dirac Nodal Line in Single-Component Molecular Conductor [Pt(dmdt)${}_2$]
• Crossing points of nodal lines in topological semimetals and Fermi surface of ZrSiS
• XFe4Ge2 (X = Y, Lu) and Mn3Pt: Filling-enforced magnetic topological metals
• Prediction of $\mathrm{TiRhAs}$ as a Dirac Nodal Line Semimetal via First-Principles Calculations
• Tunable Charged Domain Wall from Topological Confinement in Nodal-Line Semimetals
• Triply degenerate nodal lines in topological and non-topological metals
• Takagi topological insulator with odd $\mathcal{P}\mathcal{T}$ pairs of corner states
• Characterization of Lifshitz transitions in topological nodal line semimetals
• Anomalous Hall signatures of nonsymmorphic nodal lines in doped chromium chalcospinel CuCr${}_2$Se${}_4$
• Observation of Landau quantization and standing waves in HfSiS
• Turning Copper Metal into Weyl Semimetal
• From Nodal Ring Topological Superfluids to Spiral Majorana Modes in Cold Atomic Systems
• Symmetry-protected Dirac nodal lines and large spin Hall effect in ${\mathbf{V}}_6\mathbf{S}{\mathbf{b}}_4$ with kagome bilayer
• Chiral phonons in binary compounds $A$Bi ($A$ = K, Rb, Cs) with P2${}_1$/c structure
• Multiple types of unconventional quasiparticles in the chiral crystal CsBe${}_2$F${}_5$
• Electronic Structure and Transport in the Potential Luttinger Liquids CsNb${}_3$Br${}_7$S and RbNb${}_3$Br${}_7$S
• Ultrafast relaxation of acoustic and optical phonons in a topological nodal-line semimetal ZrSiS
• Topological phases in $\alpha$-Li${}_3$N-type crystal structure of light-element compounds
• Delocalization of topological surface states by diagonal disorder in nodal loop semimetals
• Chiral Topological Phononic Quasiparticles in Enantiomeric Crystals SrSi${}_2$ and BaSi${}_2$
• Topological bound states for quantum charges
• Phase diagram of a magnetic topological nodal semimetal: Stable nodal line in an easy-plane ferromagnet
• Realization of nodal ring semimetal in pressurized black phosphorus
• Triplet-Superconductivity in Triple-Band Crossings
• Two-dimensional Dirac nodal-line semimetal protected by symmetry
• A three-dimensional magnetic topological phase
• Topological semimetals and insulators in three-dimensional honeycomb materials
• Quasiparticle interference and resonant states in normal and superconducting line nodal semimetals
• Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity
• Collective modes in imbalanced nodal line semimetal
• Discriminant indicator with generalized rotational symmetry
• Topological Enhancement of Nonlinear Transports in Unconventional Point-Node Semimetals
• Layer Construction of Three-Dimensional Z2 Monopole Charge Nodal Line Semimetals and prediction of the abundant candidate materials
• Ideal Spin-Orbit-Free Dirac Semimetal and Diverse Topological Transitions in Pr${}_8$CoGa${}_3$ Family
• Emergent impervious band crossing in the bulk in topological nodal line semimetal ZrAs${}_2$
• Electronic properties of graphyne-$N$ monolayer and its multilayer: even-odd effect and topological nodal line semimetalic phases
• Mapping rules from nodal line semimetal to topological crystalline insulator in face centered cubic lattice
• Oscillations of magnetization in topological line-node semimetals
• A topological Hund nodal line antiferromagnet
• Representation Theory for Massless Quasiparticles in Bogoliubov-de Gennes Systems
• Quantum critical scaling of gapped phases in nodal-line semimetals
• Design triple points, nexus points and related topological phases by stacking monolayers
• Two-dimensional Dirac semimetals with tunable edge states
• Movable but unavoidable nodal lines through high-symmetry points in two-dimensional materials
• Magnetothermopower of nodal line semimetals
• Unremovable linked nodal structures protected by crystalline symmetries in stacked bilayer graphene with Kekulé texture
• Disorder induced dynamical interband response in Dirac nodal line semimetals
• Morse theory study on the evolution of nodal lines in $\mathcal{P}\mathcal{T}$-symmetric nodal-line semimetals
• Barrier tunneling of the Loop-Nodal Semimetal in the Hyperhoneycomb lattice
• Colossal anomalous Nernst effect in a correlated noncentrosymmetric kagome ferromagnet
• Unconventional Topological Insulators from Extended Topological Band Degeneracies
• Reshaping the anomalous Hall response in tilted 3D system with disorder correction
• Topological Light Nodal Lines in FCC Lattice
• Fermi points and the Nambu sum rule in the polar phase of ${}^3$He
• Simulation of nodal-line semimetal in amplitude-shaken optical lattices
• Quantum Oscillation and Landau-Zener transition in Untilted Nodal line semimetals under a time-periodic magnetic field
• Hydrodynamic transport and violation of the viscosity-to-entropy ratio bound in nodal-line semimetals
• Time dependent electric transport in nodal-loop semimetals
• Competition-Induced Sign Reversal of Casimir-Lifshitz Torque: An Investigation on Topological Node-Line Semimetal
• Existence of nodal-arc and its evolution into Weyl-nodes in the presence of spin-orbit coupling in TaAs & TaP
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• Interfaces of nodal-line semimetals: drum states, transport and refraction
• Ideal quantum geometry of the surface states of rhombohedral graphite and its effects on the surface superconductivity
• Nodal-line semimetals and their variance
• Nodal lines and boundary modes in topological Dirac semimetals with magnetism
• Topological Fermi-arc-like surface states in Kramers nodal line metals
• Sign reversal of magnetoresistivity in massive nodal-line semimetals due to Lifshitz transition of Fermi surface
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Disorder-induced instability of a Weyl nodal loop semimetal towards a diffusive topological metal with protected multifractal surface states
• Possible Spin-Density Wave on Fermi Arc of Edge State in Single-Component Molecular Conductors [Pt(dmdt)${}_2$] and [Ni(dmdt)${}_2$]
• Cartesian Nodal Lines and Magnetic Kramers Weyl Nodes in Spin-Split Antiferromagnets
• Illuminating the Bragg intersections as roots of Dirac nodal lines and high-order van Hove singularities
• Nodal higher-order topological superconductivity from C6-symmetric Dirac semimetals
• Finite size and volume effects in line node semimetals: a first-principles investigation
• Two-dimensional hourglass Weyl nodal loop in monolayer Pb(ClO${}_2$)${}_2$ and Sr(ClO${}_2$)${}_2$
• Conductivity scaling and absence of localization in disordered nodal line semimetals
• Real-space visualization of quasiparticle dephasing near the Planckian limit in the Dirac line node material ZrSiS
• Topological materials with extensive flat-band surface states
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Triply degenerate nodal line and tunable contracted-drumhead surface state in a tight-binding model
• Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
• Fragment-orbital-dependent spin fluctuations in the single-component molecular conductor [Ni(dmdt)${}_2$]
• Energy relaxation dynamics in a nodal-line semimetal
• Quasi-nodal lines in rhombohedral magnetic materials
• Pressure-induced superconductivity and topological phase transitions in the topological nodal-line semimetal SrAs3
• Emergence of Type-I and Type-II Dirac line nodes in penta-octa-graphene
• Nodal-line semimetal superlattices
• Tunable Dual-Type Weyl Points in Dirac-Weyl Semimetal CaAgBi
• Interband response in spin-orbit coupled nodal line semimetals
• Unveiling Novel Resonant Interband Contribution to Polarizability in three-dimensional systems
• Magnetoresistance in ZrSi$X$ ($X=$ S, Se, Te) nodal-line semimetals
• Nodal lines in a honeycomb plasmonic crystal with synthetic spin
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
• Weak ${\mathbb{Z}}_2$ Supertopology
• Kramers nodal line in the charge density wave state of YTe${}_3$ and the influence of twin domains
• Magnetic susceptibility of crystals with crossing of their band-contact lines
• Non-Abelian Charge Transport in Three-Flavor Gauge Semimetal Model with Braiding Majoranas
• Nodal-line semimetal HMTSF-TCNQ: Anomalous orbital diamagnetism and charge density wave