Topological nodal line semimetals with and without spin-orbital coupling

Abstract

We theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared with TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the valence bands touch at discrete points, in these new TSMs the two bands cross at closed lines in the Brillouin zone. We propose two new classes of symmetry protected nodal lines in the absence and in the presence of spin-orbital coupling (SOC), respectively. In the former, we discuss nodal lines that are protected by the combination of inversion symmetry and time-reversal symmetry; yet unlike any previously studied nodal lines in the same symmetry class, each nodal line has a $Z_2$ monopole charge and can only be created (annihilated) in pairs. In the second class, with SOC, we show that a nonsymmorphic symmetry (screw axis) protects a four-band crossing nodal line in systems having both inversion and time-reversal symmetries.

Accepted version; references added

References in corpus (18)

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• Anderson Critical Metal Phase in Trivial States Protected by Average Magnetic Crystalline Symmetry
• Topological magnon nodal-lines and absence of magnon spin Nernst effect in layered collinear antiferromagnets
• Superconductivity and a van Hove singularity confined to the surface of a topological semimetal
• Longitudinal DC Conductivity in Dirac Nodal Line Semimetals: Intrinsic and Extrinsic Contributions
• Classification of Weyl points and nodal lines based on magnetic point groups for spin-$\frac{1}{2}$ quasiparticles
• Possible multiband superconductivity in the quaternary carbide YRe2SiC
• Topological nodal chains in optical lattices
• Spin and charge transport in topological nodal-line semimetals
• Quantum transport observed in films of magnetic topological semimetal EuSb${}_2$
• Hydrodynamics of topological Dirac semi-metals with chiral and ${\mathbb{Z}}_2$ anomalies
• Dispersive Drumhead States in Nodal-Line Semimetal Junctions
• Giant nonlinear response due to unconventional oscillation in Nodal-line semimetals
• NMR determination of Van Hove singularity and Lifshitz transitions in nodal-line semimetal ZrSiTe
• Light-induced ultrafast glide-mirror symmetry breaking in black phosphorus
• Braiding topology of symmetry-protected degeneracy points in non-Hermitian systems
• Many-body effects in nodal-line semimetals: correction to the optical conductivity
• Suppression of twinning and enhanced electronic anisotropy of SrIrO3 films
• Broken-symmetry phases of interacting nested Weyl and Dirac loops
• Effect of incommensurate potential on nodal-link semimetals
• Linking structures of doubly charged nodal surfaces in centrosymmetric superconductors
• Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
• Tight-Binding Model and Electronic Property of Dirac Nodal Line in Single-Component Molecular Conductor [Pt(dmdt)${}_2$]
• Diagnosis of topological nodal lines with nontrivial monopole charge in the presence of rotation symmetries
• Krein-unitary Schrieffer-Wolff transformation and band touchings in bosonic Bogoliubov-de Gennes and other Krein-Hermitian Hamiltonians
• Anomalous Nernst Effect in Nonmagnetic Nodal Line Semimetal PbTaSe${}_2$
• Nodal lines and mapping to mirror Chern numbers in Ca${}_2$As family
• Symmetry-enforced planar nodal chain phonons in non-symmorphic materials
• Type-II Dirac line node in strained Na3N
• Observing the nodal-line conversion determined by the relative homotopy
• Magnetotransport of SrIrO3 films on (110) DyScO3
• Prediction of $\mathrm{TiRhAs}$ as a Dirac Nodal Line Semimetal via First-Principles Calculations
• From Nodal Ring Topological Superfluids to Spiral Majorana Modes in Cold Atomic Systems
• A Hamiltonian Approach for Obtaining Irreducible Projective Representations and the $k\cdot p$ Perturbation for Anti-unitary Symmetry Groups
• Triply degenerate nodal lines in topological and non-topological metals
• Tunable Charged Domain Wall from Topological Confinement in Nodal-Line Semimetals
• Momentum-dependent spin selection rule in photoemission with glide symmetry
• Crossing points of nodal lines in topological semimetals and Fermi surface of ZrSiS
• Topological Fermi-arc surface resonances in bcc iron
• Two-dimensional Dirac nodal loop magnons in collinear antiferromagnets
• IrF4: From Tetrahedral Compass Model to Topological Semimetal
• Noncollinear Magnetic Modulation of Weyl Nodes in Ferrimagnetic Mn${}_3$Ga
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Fate of Weyl semimetals in the presence of incommensurate potentials
• Optical transitions of a single nodal ring in SrAs${}_3$: radially and axially resolved characterization
• Multiple types of unconventional quasiparticles in the chiral crystal CsBe${}_2$F${}_5$
• Phase diagram of a magnetic topological nodal semimetal: Stable nodal line in an easy-plane ferromagnet
• Topological phases in $\alpha$-Li${}_3$N-type crystal structure of light-element compounds
• Designing Xenes with Two-Dimensional Triangular Lattice
• Delocalization of topological surface states by diagonal disorder in nodal loop semimetals
• Chiral gauge field in fully-spin polarized Weyl semimetal with magnetic domain walls
• Long-range spin transport on the surface of topological Dirac semimetal
• Electrical magnetochiral anisotropy and quantum metric in chiral conductors
• Low-lying Electronic Structure of Rare-Earth Based Topological Nodal Line Semimetal Candidate DySbTe
• Chiral Topological Phononic Quasiparticles in Enantiomeric Crystals SrSi${}_2$ and BaSi${}_2$
• Temperature driven spin-zero effect in TaAs${}_2$
• Layer Construction of Three-Dimensional Z2 Monopole Charge Nodal Line Semimetals and prediction of the abundant candidate materials
• A three-dimensional magnetic topological phase
• Electronic structures near unmovable nodal points and lines in two-dimensional materials
• Two-dimensional Dirac nodal-line semimetal protected by symmetry
• Topological semimetals and insulators in three-dimensional honeycomb materials
• Collective modes in imbalanced nodal line semimetal
• Transition from nodal loop to nodal chain phase in a periodically modulated optical lattice
• Selective Phonon Damping in Topological Semimetals
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Yang monopoles and emergent three-dimensional topological defects in interacting bosons
• Axion insulator, Weyl points, quantum anomalous Hall effect and magnetic topological phase transition in Eu3In2As4
• Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity
• Emergent impervious band crossing in the bulk in topological nodal line semimetal ZrAs${}_2$
• Second-order topological insulator in Bilayer borophene
• Topological Signatures in Nodal Semimetals through Neutron Scattering
• Bulk-entanglement spectrum correspondence in $PT$- and $PC$-symmetric topological insulators and superconductors
• Dissipationless transport signature of topological nodal lines
• Ideal Spin-Orbit-Free Dirac Semimetal and Diverse Topological Transitions in Pr${}_8$CoGa${}_3$ Family
• Unconventional Topological Insulators from Extended Topological Band Degeneracies
• Geometric semimetals and their simulation in synthetic matter
• Movable but unavoidable nodal lines through high-symmetry points in two-dimensional materials
• A topological Hund nodal line antiferromagnet
• Representation Theory for Massless Quasiparticles in Bogoliubov-de Gennes Systems
• Spectroscopic Evidence on Realization of a Genuine Topological Nodal Line Semimetal in LaSbTe
• Fragile topology in nodal-line semimetal superconductors
• Instanton-Induced Supersymmetry Breaking in Topological Semimetals
• Emergence of topological phases from the extension of two-dimensional lattice with nonsymmorphic symmetries
• 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
• Oscillations of magnetization in topological line-node semimetals
• 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
• Epitaxial growth and antiferromagnetism of Sn-substituted perovskite iridate SrIr${}_{0.8}$Sn${}_{0.2}$O${}_3$
• Design triple points, nexus points and related topological phases by stacking monolayers
• Topological charge distributions of an interacting two-spin system
• Collective excitations and screening in two-dimensional tilted nodal-line semimetals
• Morse theory study on the evolution of nodal lines in $\mathcal{P}\mathcal{T}$-symmetric nodal-line semimetals
• Ideal Nodal-Sphere Semimetal in the Three-Dimensional Boron Allotrope CT-B${}_{24}$
• Time dependent electric transport in nodal-loop semimetals
• Magnetic-field-induced electronic instability of Weyl-like fermions in compressed black phosphorus
• Interfaces of nodal-line semimetals: drum states, transport and refraction
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• Realization of Hopf-link structure in phonon spectra: Symmetry guidance and High-throughput investigation
• Hopf Semimetals
• Quantum Oscillation and Landau-Zener transition in Untilted Nodal line semimetals under a time-periodic magnetic field
• Nodal lines and boundary modes in topological Dirac semimetals with magnetism
• 3D $Z_2$ Topological Nodes in Nonsymmorphic Photonic Crystals: Ultrastrong Coupling and Anomalous Refraction
• Breakdown of boundary criticality and exotic topological semimetals in $\mathcal{P}\mathcal{T}$-invariant systems
• Reshaping the anomalous Hall response in tilted 3D system with disorder correction
• Nodal-line semimetals and their variance
• Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
• Emergent topology in thin films of nodal line semimetals
• Collective plasmonic modes in the chiral multifold fermionic material CoSi
• Non-necessity of band inversion process in 2D topological insulators for bulk gapless states and topological phase transitions
• Role of effective mass anisotropy in realizing a hybrid nodal-line fermion state
• Electronic Structure of a Nodal Line Semimetal Candidate TbSbTe
• Dirac Dispersions and Fermi Surface Nesting in LaCuSb${}_2$
• CeAu${}_2$Bi: a new nonsymmorphic antiferromagnetic compound
• Illuminating the Bragg intersections as roots of Dirac nodal lines and high-order van Hove singularities
• Surface magnon spectra of nodal loop semimetals
• Fragile topological insulators protected by rotation symmetry without spin-orbit coupling
• Topological strongly correlated phases in orthorhombic diamond lattice compounds
• Cartesian Nodal Lines and Magnetic Kramers Weyl Nodes in Spin-Split Antiferromagnets
• Eightfold Degenerate Dirac Nodal Line in Collinear Antiferromagnet Mn${}_5$Si${}_3$
• Topological Fermi-arc-like surface states in Kramers nodal line metals
• Electronic band structure of a nodal line semimetal candidate ErSbTe
• Euler band topology in superfluids and superconductors
• Porous-B${}_{18}$: An Ideal Topological Semimetal with Symmetry-Enforced Orthogonal Nodal-Line and Nodal-Surface States
• Giant Magnetostriction by Design: A First-Principles Screening of Co-based Heusler Alloys
• Possible Spin-Density Wave on Fermi Arc of Edge State in Single-Component Molecular Conductors [Pt(dmdt)${}_2$] and [Ni(dmdt)${}_2$]
• Two-dimensional hourglass Weyl nodal loop in monolayer Pb(ClO${}_2$)${}_2$ and Sr(ClO${}_2$)${}_2$
• Fermi Level Fluctuations, Reduced Effective Masses and Zeeman Effect during Quantum Oscillations in Nodal Line Semimetals
• Sign reversal of magnetoresistivity in massive nodal-line semimetals due to Lifshitz transition of Fermi surface
• Real-space visualization of quasiparticle dephasing near the Planckian limit in the Dirac line node material ZrSiS
• Three-nodal surface phonons in solid-state materials: Theory and material realization
• Biot-Savart law in quantum matter
• Magnetic susceptibility of crystals with crossing of their band-contact lines
• Non-Abelian Charge Transport in Three-Flavor Gauge Semimetal Model with Braiding Majoranas
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Semimetals without correspondence between the topological charge of nodal line/surface and Fermi arc
• Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response
• Hinge modes of three-dimensional Euler insulators
• Interband response in spin-orbit coupled nodal line semimetals
• Electronic states at twist stacking faults in rhombohedral graphite
• Breakdown of chiral anomaly and emergent phases in Weyl semimetals under orbital magnetic fields
• Accelerated Discovery of Topological Conductors for Nanoscale Interconnects
• Unveiling Novel Resonant Interband Contribution to Polarizability in three-dimensional systems
• Nodal lines in a honeycomb plasmonic crystal with synthetic spin
• Fragment-orbital-dependent spin fluctuations in the single-component molecular conductor [Ni(dmdt)${}_2$]
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
• Conductivity scaling and absence of localization in disordered nodal line semimetals
• Synthetic Weyl points in generalized parameter space and their topological properties
• Quasi-nodal lines in rhombohedral magnetic materials
• Triply degenerate nodal line and tunable contracted-drumhead surface state in a tight-binding model
• Nodal-line semimetal superlattices
• Energy relaxation dynamics in a nodal-line semimetal
• Diffusive density response of electrons in anisotropic multiband systems
• Orbital Limit and Gaussian Fluctuation Effects in Flat Band Superconductors with PseudoMagnetic Fields