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.

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• Dirac nodal line metal for topological antiferromagnetic spintronics
• A systematic study of stacked square nets: from Dirac fermions to material realizations
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• Hourglass-like Nodal Net Semimetal in Ag2BiO3
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• Co-existence of spin semi-metallic and Weyl semi-metallic behavior in FeRhCrGe
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• 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
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• 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
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• Optical conductivity signatures of open Dirac nodal lines
• Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals
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• 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
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• Emergent impervious band crossing in the bulk in topological nodal line semimetal ZrAs${}_2$
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• Quantum critical scaling of gapped phases in nodal-line semimetals
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• 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