Dirac Semimetals in Two Dimensions

Abstract

Graphene is famous for being a host of 2D Dirac fermions. However, spin-orbit coupling introduces a small gap, so that graphene is formally a quantum spin hall insulator. Here we present symmetry-protected 2D Dirac semimetals, which feature Dirac cones at high-symmetry points that are \emph{not} gapped by spin-orbit interactions, and exhibit behavior distinct from both graphene and 3D Dirac semimetals. Using a two-site tight-binding model, we construct representatives of three possible distinct Dirac semimetal phases, and show that single symmetry-protected Dirac points are impossible in two dimensions. An essential role is played by the presence of non-symmorphic space group symmetries. We argue that these symmetries tune the system to the boundary between a 2D topological and trivial insulator. By breaking the symmetries we are able to access trivial and topological insulators as well as Weyl semimetal phases.

References in corpus (6)

• The electronic properties of graphene
• Topological Crystalline Insulators
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Electric Field Induced Topological Phase Transition in Two-Dimensional Few-layer Black Phosphorus
• Room Temperature Quantum Spin Hall Insulators with a Buckled Square Lattice
• Topological phases in Iridium oxide superlattices: quantized anomalous charge or valley Hall insulators

Cited by in corpus (380)

• Weyl and Dirac Semimetals in Three Dimensional Solids
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• Dirac Cone Protected by Non-Symmorphic Symmetry and 3D Dirac Line Node in ZrSiS
• Topological classification of crystalline insulators through band structure combinatorics
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• Hourglass Fermions
• Observation of Topological Nodal Fermion Semimetal Phase in ZrSiS
• Double Dirac Semimetals in Three Dimensions
• Nodal surface semimetals: Theory and material realization
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Three-dimensional topological photonic crystal with a single surface Dirac cone
• Dirac Fermions in Antiferromagnetic Semimetal
• Magnetic Topological Quantum Chemistry
• 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
• Topological Semimetals from first-principles
• 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
• All Topological Bands of All Nonmagnetic Stoichiometric Materials
• Filling constraints for spin-orbit coupled insulators in symmorphic and non-symmorphic crystals
• Symmetry Demanded Topological Nodal-line Materials
• Plasmon Weyl Degeneracies in Magnetized Plasma
• Electric control of Dirac quasiparticles by spin-orbit torque in an antiferromagnet
• Dirac Line-nodes and Effect of Spin-orbit Coupling in Non-symmorphic Critical Semimetal MSiS (M=Hf, Zr)
• Unconventional mass enhancement around the Dirac nodal loop in ZrSiS
• Topology of nonsymmorphic crystalline insulators and superconductors
• Nonsymmorphic-symmetry-protected hourglass Dirac loop, nodal line, and Dirac point in bulk and monolayer $X_3$SiTe${}_6$ ($X=$ Ta, Nb)
• Dirac nodal lines and induced spin Hall effect in metallic rutile oxides
• Experimental Discovery of the First Nonsymmorphic Topological Insulator KHgSb
• Tunable Weyl and Dirac states in the nonsymmorphic compound $\mathbf{CeSbTe}$
• Wallpaper Fermions and the Nonsymmorphic Dirac Insulator
• Strain-induced pseudomagnetic field in Dirac semimetal borophene
• Nearly massless Dirac fermions and strong Zeeman splitting in the nodal-line semimetal ZrSiS probed by de Haas--van Alphen quantum oscillations
• Symmetry-protected multifold exceptional points and their topological characterization
• Tunability of the topological nodal-line semimetal phase in ZrSiX-type materials
• Computation and data driven discovery of topological phononic materials
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• Topological Semimetals in Square-Net Materials
• Observation of symmetry-protected topological band with ultracold fermions
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• Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications
• Nonsymmorphic symmetry-required band crossings in topological semimetals
• Spin-Orbit Semimetals in the Layer Groups
• Band Representations and Topological Quantum Chemistry
• Two-Dimensional Node-Line Semimetals in a Honeycomb-Kagome Lattice
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• Reversible spin texture in ferroelectric HfO2
• Two-Dimensional Dirac Fermions Protected by Space-Time Inversion Symmetry in Black Phosphorus
• Two-dimensional altermagnets from high throughput computational screening: symmetry requirements, chiral magnons and spin-orbit effects
• Topological semimetals protected by off-centered symmetries in nonsymmorphic crystals
• Phononic Helical Nodal Lines with $\mathcal{P}\mathcal{T}$ Protection in MoB${}_2$
• Low-energy type-II Dirac fermions and spin-polarized topological surface states in transition-metal dichalcogenide NiTe${}_2$
• Topological Thermal Hall Effect in Frustrated Kagomé Antiferromagnets
• Projectively enriched symmetry and topology in acoustic crystals
• Predicted Realization of Cubic Dirac Fermion in Quasi-One-Dimensional Transition-Metal MonoChalcogenides
• Giant Intrinsic Spin Hall Effect in W${}_3$Ta and other A15 Superconductors
• Thermoelectric quantum oscillations in ZrSiS
• Stiefel-Whitney classes and topological phases in band theory
• Higher-order Dirac fermions in three dimensions
• Interatomic Coulomb interaction and electron nematic bond order in FeSe
• Filling-enforced Magnetic Dirac Semimetals in Two Dimensions
• Two-dimensional Spin-Orbit Dirac Point in Monolayer HfGeTe
• Strain-induced nonsymmorphic symmetry breaking and removal of Dirac semimetallic nodal line in an orthoperovskite iridate
• Modern semiclassical theory of magnetic transport and breakdown
• Topological charges of three-dimensional Dirac semimetals with rotation symmetry
• Two-dimensional nodal-loop half metal in monolayer MnN
• Quantum Monte Carlo simulation of the chiral Heisenberg Gross-Neveu-Yukawa phase transition with a single Dirac cone
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• Route Towards Dirac and Weyl Antiferromagnetic Spintronics
• Classification of stable Dirac and Weyl semimetals with reflection and rotational symmetry
• Weyl-loop half metal in Li${}_3$(FeO${}_3$)${}_2$
• Mixed topological semimetals driven by orbital complexity in two-dimensional ferromagnets
• Nodal Line Spin-gapless Semimetals and High-quality Candidate Materials
• Space-time crystal and space-time group
• The $8Pmmn$ borophene sheet: A solid-state platform for space-time engineering
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• Band Engineering of Dirac Semimetals using Charge Density Waves
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• Systematic investigation of emergent particles in type-III magnetic space groups
• Surface floating 2D bands in layered nonsymmorphic semimetals: ZrSiS and related compounds
• Sign-tunable anomalous Hall effect induced by two-dimensional symmetry-protected nodal structures in ferromagnetic perovskite oxide thin films
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• Encyclopedia of emergent particles in type-IV magnetic space groups
• Exhaustive constructions of effective models in 1651 magnetic space groups
• Excitonic Instability and Pseudogap Formation in Nodal Line Semimetal ZrSiS
• Topologically stable gapless phases in nonsymmorphic superconductors
• Topological Semimetal driven by Strong Correlations and Crystalline Symmetry
• Antiferromagnetic Dirac Semimetals in Two Dimensions
• Conversion rules for Weyl points and nodal lines in topological media
• Symmorphic and nonsymmorphic symmetries jointly-protected hourglass phonons
• Large magnetoresistance in type-II Weyl semimetal WP${}_2$
• A systematic study of stacked square nets: from Dirac fermions to material realizations
• Topological magnon bands in the zigzag and stripy phases of antiferromagnetic honeycomb lattice
• Topological band crossings in hexagonal materials
• Two-dimensional topological nodal line semimetal in layered $X_{2}Y$ ($X$ = Ca, Sr, and Ba; $Y$ = As, Sb, and Bi)
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• Magnon topology and thermal Hall effect in trimerized triangular lattice antiferromagnet
• Hourglass Weyl loops in two dimensions: Theory and material realization in monolayer GaTeI family
• Hourglass-like Nodal Net Semimetal in Ag2BiO3
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• Monolayer Mg${}_2$C: Negative Poisson's ratio and unconventional 2D emergent fermions
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• Line nodes, Dirac points and Lifshitz transition in 2D nonsymmorphic photonic crystals
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• Topological Hourglass Dirac Semimetal in the Nonpolar Phase of Ag${}_2$BiO${}_3$
• Symmetry-enforced ideal lantern-like phonons in ternary nitride Li${}_6$WN${}_4$
• Computational Search for Magnetic and Non-magnetic 2D Topological Materials using Unified Spin-orbit Spillage Screening
• Hourglass Fermion Surface States in Stacked Topological Insulators with Nonsymmorphic Symmetry
• Tunable large spin Hall and spin Nernst effects in Dirac semimetals ZrXY (X=Si, Ge; Y=S, Se, Te)
• Coexistence of New Fermions in Topological Semimetal TaS
• Topologically non-trivial photonic surface degeneracy in a photonic metamaterial
• Observation of Gapless Dirac Surface States in ZrGeTe
• Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO${}_3$
• Antiferromagnetic Topological Nodal Line Semimetals
• Dirac Magnon Nodal Loops in Quasi-2D Quantum Magnets
• A generic theory for Majorana zero modes in 2D superconductors
• Weyl points and Dirac lines protected by multiple screw rotations
• Electric-field tunable Dirac semimetal state in phosphorene thin films
• Breakdown of the scaling relation of anomalous Hall effect in Kondo lattice ferromagnet USbTe
• Two-dimensional antiferromagnetic Dirac fermions in monolayer TaCoTe${}_2$
• Electronic and dynamical properties of CeRh${}_2$As${}_2$: Role of Rh${}_2$As${}_2$ layers and expected hidden orbital order
• Symmetry-enforced band crossings in tetragonal materials: Dirac and Weyl degeneracies on points, lines, and planes
• Hourglass Charge-Three Weyl Phonons
• Two-dimensional topological materials discovery by symmetry-indicator method
• Coexistience of phononic six-fold, four-fold and three-fold excitations in ternary antimonide Zr3Ni3Sb4
• Hourglass semimetals with nonsymmorphic symmetries in three dimensions
• Starfruit-like nodal semimetal to Dirac and Weyl semimetal state in CaAuAs
• Magnonic Analogs of Topological Dirac Semimetals
• Symmetry analysis of translational symmetry broken density waves: application to hexagonal lattices in two dimensions
• Directional massless Dirac fermions in a layered van der Waals material with one-dimensional long-range order
• Complex magnetic phases enriched by charge density waves in topological semimetals GdSb_xTe_{2-x-δ}
• Band dispersion of graphene with structural defects
• Electronic and Magnetic Properties of Topological Semimetal Candidate NdSbTe
• Coexistence of zero-, one- and two-dimensional degeneracy in tetragonal SnO${}_2$ phonons
• Dimensional Crossover and Topological Phase Transition in Dirac Semimetal Na3Bi Films
• Quantum phase transitions in Dirac fermion systems
• Electronic structure of the candidate 2D Dirac semimetal SrMnSb2: a combined experimental and theoretical study
• Magnetic Ordering, Anomalous Lifshitz Transition and Topological Grain Boundaries in Two-Dimensional Biphenylene Network
• Nonsymmorphic Symmetry-Protected Band Crossings in a Square-Net Metal PtPb${}_4$
• Evolving Devil's staircase magnetization from tunable charge density waves in nonsymmorphic Dirac semimetals
• Dirac States in an Inclined Two-Dimensional Su-Schrieffer-Heeger Model
• Correlation effects and hidden spin-orbit entangled electronic order in parent and electron-doped iridates Sr${}_2$IrO${}_4$
• From Node-Line Semimetals to Large Gap QSH States in New Family of Pentagonal Group-IVA Chalcogenide
• Topologically-Driven Linear Magnetoresistance in Helimagnetic FeP
• Data Mining for Three-Dimensional Organic Dirac Materials: Focus on Space Group 19
• Nonlinear Dirac Cones
• General Theory of Momentum-Space Nonsymmorphic Symmetry
• Spin-orbit coupling and topological phases for ultracold atoms
• Dirac-semimetal phase diagram of two-dimensional black phosphorus
• Symmetry dictated grain boundary state in a two-dimensional topological insulator
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Determination of the Fermi surface and field-induced quasi-particle tunneling around the Dirac nodal-loop in ZrSiS
• Semi-Dirac and Weyl Fermions in Transition Metal Oxides
• Symmetry-enforced band crossings in trigonal materials: Accordion states and Weyl nodal lines
• Classification of accidental band crossings and emergent semimetals in two-dimensional noncentrosymmetric systems
• Photo-induced electronic and spin topological phase transitions in monolayer bismuth
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Multi-$Q$ hexagonal spin density waves and dynamically generated spin-orbit coupling: time-reversal invariant analog of the chiral spin density wave
• Multiple Symmetry-Protected Dirac Nodal Lines in A Quasi-One-Dimensional Semimetal
• Chiral Dirac-like fermion in spin-orbit-free antiferromagnetic semimetals
• Rapid Exploration of Topological Band Structures using Deep Learning
• Cat's cradle-like Dirac semimetals in layer groups with multiple screw axes: Application to 2D Borophene and Borophane
• Glide-symmetric magnetic topological crystalline insulators with inversion symmetry
• Nodal-line semimetals from Weyl superlattices
• Layer group classification of two-dimensional materials
• Coexistence of near-EF flat band and van Hove singularity in a two-phase superconductor
• Vacancy-Engineered Flat-Band Superconductivity in Holey Graphene
• Lanthanum Oxyhalide Monolayers: An Exceptional Dielectric Companion to Two-Dimensional Semiconductors
• Superconducting States for Semi-Dirac Fermions at Zero and Finite Magnetic Fields
• Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
• MgTa2N3: A new reference Dirac semimetal
• Surface Termination Dependent Quasiparticle Scattering Interference and Magneto-transport Study on ZrSiS
• Topological Gapless Phases in Non-Symmorphic Antiferromagnets
• Symmetry-assisted protection and compensation of hidden spin polarization in centrosymmetric systems
• Topological insulating phases from two-dimensional nodal loop semimetals
• Physical realization of topological Roman surface by spin-induced ferroelectric polarization in cubic lattice
• Quantum Entangled Fractional Topology and Curvatures
• Distinct multiple fermionic states in a single topological metal
• Weyl-like points from band inversions of spin-polarised surface states in NbGeSb
• Infrared spectroscopy study of the nodal-line semimetal candidate ZrSiTe under pressure: Hints for pressure-induced phase transitions
• Dynamical Piezomagnetic Effect in Time-Reversal Invariant Weyl Semimetals with Axionic Charge-Density Waves
• Phononic Stiefel-Whitney topology with corner vibrational modes in two-dimensional Xenes and ligand-functionalized derivatives
• Robust and Pristine Top ological Dirac Semimetal Phase in Pressured Two-Dimensional Black Phosphorous
• Observation of Dirac state in half-Heusler material YPtBi
• Orbital Edelstein effect from density-wave order
• Non-Local Annihilation of Weyl Fermions in Correlated Systems
• Symmetry-protected metallic and topological phases in penta-materials
• Emergence of topological electronic phases in elemental lithium under pressure
• A gap-protected zero-Hall effect state in the quantum limit of the nonsymmorphic metal KHgSb
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• Hinge mode dynamics of periodically driven higher-order Weyl semimetals
• Photoinduced renormalization of Dirac states in BaNiS${}_2$
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• BaSn${}_2$: A new, wide-gap, strong topological insulator
• Nodal Brillouin Zone Boundary from Folding a Chern Insulator
• Catalog of noninteracting tight-binding models with two energy bands in one dimension
• Anisotropic superconductivity in topological crystalline metal Pb${}_{1/3}$TaS${}_2$ with multiple Dirac fermions
• Monoclinic SrIrO${}_3$ - A Dirac semimetal produced by non-symmorphic symmetry and spin-orbit coupling
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• Chiral topological insulating phases from three-dimensional nodal loop semimetals
• The de Hass-van Alphen quantum oscillations in a three-dimensional Dirac semimetal TiSb2
• Two-dimensional Topological Semimetals Protected by Symmorphic Symmetries
• Intrinsic superconducting diode effects in tilted Weyl and Dirac semimetals
• Symmetry-selective quasiparticle scattering and electric field tunability of the ZrSiS surface electronic structure
• Tunable two-dimensional Dirac nodal nets
• Engineering second-order nodal-line semimetals by breaking $\mathcal{P}\mathcal{T}$ symmetry and periodic driving
• Glide-symmetric topological crystalline insulator phase in a nonprimitive lattice
• From semimetal to chiral Fulde-Ferrell superfluids
• Rational boundary charge in one-dimensional systems with interaction and disorder
• The topological magnon bands in the Flux state in Sashtry-Sutherland lattice
• Searching for two-dimensional Weyl superconductors in heterostructures
• Nonsymmorphic nodal-line metals in the two-dimensional rare earth monochalcogenides MX (M = Sc, Y; X = S, Se, Te)
• Topological Nonsymmorphic Ribbons out of Symmorphic Bulk
• Monolayer RhB4: half-auxeticity and almost ideal spin-orbit Dirac point semimetal
• Pyramids and cootie catchers: new massless fermions in 2D materials
• Robust Dirac lines against Ge vacancy and possible spin-orbit Dirac points in nonsymmorphic HfGe0.92Te
• Chiral anomaly and anomalous finite-size conductivity in graphene
• Topological bands in two-dimensional orbital-active bipartite lattices
• Tight-binding model and ab initio calculation of silicene with strong spin-orbit coupling in low-energy limit
• Symmetry guaranteed Dirac-line semimetals in two-dimensions against strong spin-orbit coupling
• Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
• Prediction of topological phases in metastable ferromagnetic MPX${}_3$ monolayers
• Edge states in a two-dimensional non-symmorphic semimetal
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Pressure-induced excitations in the out-of-plane optical response of the nodal-line semimetal ZrSiS
• Quasi-2D magnetism and origin of the Dirac semimetallic behavior in nonstoichiometric Sr${}_{1-y}$Mn${}_{1-z}$Sb${}_2$ (y, z~$<$0.1)
• Glide Symmetry Protected Higher-Order Topological Insulators from Semimetals with butterfly-like Nodal Lines
• Emergence of Dirac-like bands in the monolayer limit of epitaxial Ge films on Au(111)
• Dark states of electrons in a quantum system with two pairs of sublattices
• First-principles study on the bulk and two-dimensional structures of AMnBi(A =K, Rb, Cs)-family materials
• Selection rules for quasiparticle interference with internal nonsymmorphic symmetries
• Topological Antiferromagnetic Semimetal for Spintronics: A Case Study of a Layered Square Net System EuZnSb${}_2$
• Higher Chern numbers in multilayer ($\mathcal{N}\ge 2$) Lieb lattices: Topological transitions and quadratic band crossing lines
• Two-dimensional Weyl nodal-line semimetal and antihelical edge states in a modified Kane-Mele model
• Tuning Dirac nodes with correlated d-electrons in BaCo_{1-x}Ni_{x}S_{2}
• Magnetic parity violation and parity-time-reversal-symmetric magnets
• Symmetry-enforced nodal lines in the band structures of vacancy-engineered graphene
• Quasiparticle interference observation of the topologically non-trivial drumhead surface state in ZrSiTe
• Tunable Dirac points in a two-dimensional non-symmorphic wallpaper group lattice
• Novel Family of Topological Semimetals with Butterfly-like Nodal Lines
• Two-dimensional Peierls instability via zone boundary Dirac line nodes in layered perovskite oxides
• Polarization jumps by breaking symmetries of two-dimensional Weyl semimetals
• Signature of parity anomaly in the measurement of optical Hall conductivity in quantum anomalous Hall systems
• Topological charge pumping in spin-dependent superlattices with glide symmetry
• Two-dimensional Dirac semiconductor and its material realization
• Symmetry-Protected Degeneracies in the Electronic Band Structure of Oxidized Black Phosphorous
• $n$-Hourglass Weyl fermions in nonsymmorphic materials
• Magnetic wallpaper Dirac fermions and topological magnetic Dirac insulators
• Movable but not removable band degeneracies in a symmorphic crystal
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Interacting Dirac Materials
• Voltage induced switching of an antiferromagnetically ordered topological Dirac semimetal
• Filling-enforced Kondo semimetals in two-dimensional non-symmorphic crystals
• Analysis of Dirac exceptional points and their isospectral Hermitian counterparts
• Topological nodal chains in optical lattices
• Nonsymmorphic Dirac semimetal and carrier dynamics in doped spin-orbit-coupled Mott insulator Sr${}_2$IrO${}_4$
• Dual topological nodal line and nonsymmorphic Dirac semimetal in three dimensions
• Robustness of persistent currents in two-dimensional Dirac systems with disorders
• Light-induced ultrafast glide-mirror symmetry breaking in black phosphorus
• Two-dimensional topological semimetal state in a nanopatterned semiconductor system
• Dirac Nodal Line and Rashba Splitting Surface States in Nonsymmorphic ZrGeTe
• Robustness of spin-polarized edge states in a two-dimensional topological semimetal without inversion symmetry
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• Unified low-energy effective Hamiltonian and the band topology of $p$-block square-net layer derivatives
• Node-line Dirac semimetal manipulated by Kondo mechanism in nonsymmorphic CePt${}_2$Si${}_2$
• Polarization Jumps across Topological Phase Transitions in Two-dimensional Systems
• Frequency-dependent Faraday and Kerr rotation in anisotropic nonsymmorphic Dirac semimetals
• Fully linear band crossings at high symmetry points in layers: classification and role of spin-orbit coupling and time reversal
• Multi-type Dirac fermions protected by orthogonal glide symmetries in a noncentrosymmetric system
• The topological invariants of rotationally symmetric crystals
• Tunneling Conductance in a Two-dimensional Dirac Semimetal Protected by Non-symmorphic Symmetry
• Krein-unitary Schrieffer-Wolff transformation and band touchings in bosonic Bogoliubov-de Gennes and other Krein-Hermitian Hamiltonians
• Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points
• Upper bound of a band complex
• IrF4: From Tetrahedral Compass Model to Topological Semimetal
• Gapped gravitinos, isospin $\frac{1}{2}$ particles and $\mathcal{N}=2$ partial breaking
• Momentum-dependent spin selection rule in photoemission with glide symmetry
• Topological Critical Materials of Ternary Compounds
• Enhanced in-plane ferroelectricity, antiferroelectricity, and unconventional 2D emergent fermions in QL-XSbO${}_2$ (X= Li, Na)
• Engineering rich two-dimensional higher-order topological phases by flux and periodic driving
• High-Pressure Synthesis of a Massive and Non-Symmorphic Dirac Semimetal Candidate MoP${}_4$
• Moiré Landau levels of a $C_4$-symmetric twisted bilayer system in the absence of a magnetic field
• Effects of Dzyaloshinskii-Moriya interactions in volborthite: Magnetic orders and thermal Hall effect
• Tunneling in an anisotropic cubic Dirac semi-metal
• Designing single and degenerate flat bands in the kagome lattice with long-range hopping
• Floquet Spin Splitting and Spin Generation in Antiferromagnets
• Low-lying Electronic Structure of Rare-Earth Based Topological Nodal Line Semimetal Candidate DySbTe
• Topological Gap Opening without Symmetry Breaking from Dynamical Quantum Correlations
• Topological optical Raman superlattices
• Synthesizing Weyl semimetals in weak topological insulator and topological crystalline insulator multilayers
• Exploration of Altermagnetism in $\mathrm{Ru}{\mathrm{O}}_2$
• Bringing order to the expanding fermion zoo
• Movable Dirac Points with Ferroelectrics: Kink States and Berry Curvature Dipoles
• Laser induced surface magnetization in Floquet-Weyl semimetals
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• Collective modes of vortex lattices in two-component Bose-Einstein condensates under synthetic gauge fields
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• Nodal surface and persistent spin texture in a Weyl semimetal without mirror symmetry
• In-plane and out-of-plane optical response of the nodal-line semimetals ZrGeS and ZrGeSe
• Designing Xenes with Two-Dimensional Triangular Lattice
• Electronic structures near unmovable nodal points and lines in two-dimensional materials
• Topological 'Luttinger' invariants protected by non-symmorphic symmetry in semimetals
• Weyl semimetallic state with antiferromagnetic order in Rashba-Hubbard model
• NMR evidence for a Peierls transition in the layered square-net compound LaAgSb${}_2$
• Photon Absorption of Two-dimensional Nonsymmorphic Dirac Semimetals
• The linear Dirac spectrum and the Weyl states in the Drude-Sommerfeld topological model
• Topologically Protected Doubling of Tilted Dirac Fermions in Two Dimensions
• Tunneling phase diagrams in anisotropic Multi-Weyl semimetals
• Controlling topology through targeted composite symmetry manipulation in magnetic systems
• Cascade of phase transitions in a planar Dirac material
• Topological semimetal with coexisting nodal points and nodal lines
• Representation Theory for Massless Quasiparticles in Bogoliubov-de Gennes Systems
• Movable but unavoidable nodal lines through high-symmetry points in two-dimensional materials
• Dirac node lines in a two-dimensional bipartite square lattice
• Dirac state switching in transition metal diarsenides
• Design of a room-temperature topological exciton-polariton laser in a ZnO/TiO${}_2$-photonic crystal slab
• One-dimensional ${\mathbb{Z}}_4$ topological superconductor
• Tilted Dirac Fermions
• Spin susceptibilities in magnetic type-I and type-II Weyl semimetals
• Emergence of pure spin current in doped excitonic magnets
• Tunable two-dimensional Dirac-Weyl semimetal phase induced by altermagnetism
• Two-dimensional Dirac semimetals with tunable edge states
• Topological phases of non-symmorphic crystals : Shastry-Sutherland lattice at integer filling
• Spectroscopic Evidence on Realization of a Genuine Topological Nodal Line Semimetal in LaSbTe
• Emergence of topological phases from the extension of two-dimensional lattice with nonsymmorphic symmetries
• Tight-binding model with sublattice-asymmetric spin-orbit coupling for square-net nodal line Dirac semimetals
• Momentum space imaging of locally noncentrosymmetric superconductors
• High-chirality and multiquaternion Weyl nodes in hexagonal ReO${}_3$
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• Nodal-line semimetals and their variance
• Electronic interactions in a vacancy-engineered honeycomb lattice: Transition from a nodal-line semimetal to a magnetic insulator
• Dynamically Characterizing the Structures of Dirac Points via Wave Packets
• Realization of Hopf-link structure in phonon spectra: Symmetry guidance and High-throughput investigation
• Hilbert band complexes and their applications
• Strain-induced pseudomagnetic and scalar fields in symmetry-enforced Dirac nodes
• Spin-Hall conductivity and optical characteristics of noncentrosymmetric quantum spin Hall insulators: the case of PbBiI
• Spin and charge order in doped spin-orbit coupled Mott insulators
• Imaginary coupling induced Dirac points and group velocity control in non-reciprocal Hermitian Lattice
• The Symmetry Principle in Condensed Matter Physics (I)
• Less is more: Vacancy-engineered nodal-line semimetals
• Floquet-Weyl semimetals generated by an optically resonant interband-transition
• Fragile superconductivity in a Dirac metal
• Gapless Topological Peierls-like instabilities in more than one dimension
• Floquet Möbius topological insulators
• Tunable Fano and Dicke effects in quantum transport of double quantum dots sandwiched between topological insulators
• AC conductivity and magnetic dichroism of two-dimensional antiferromagnetic Dirac semimetals
• Robust non-integer conductance in disordered 2D Dirac semimetals
• Interfacial superconductivity in the type-III heterostructure SnSe${}_2$/PtTe${}_2$
• Dimensional Effects on the Density of States in Systems with Quasi-Relativistic Dispersion Relations and Potential Wells
• Chiral symmetry and magnetism in a 3D Kagome lattice: RPt${}_2$B (R = La and Nd) prototype crystals
• CeAu${}_2$Bi: a new nonsymmorphic antiferromagnetic compound
• Two-dimensional hourglass Weyl nodal loop in monolayer Pb(ClO${}_2$)${}_2$ and Sr(ClO${}_2$)${}_2$
• Dirac Dispersions and Fermi Surface Nesting in LaCuSb${}_2$
• Polarization-dependent excitons and plasmon activity in nodal-line semimetal ZrSiS
• Spin and electric currents induced by a spin-motive force in two-dimensional Dirac semimetals protected by nonsymmorphic symmetries
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
• One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
• Correlated Dirac semimetal states in nonsymmorphic MIrO${}_3$ (M=Sr, Ba and Ca)
• Systematic study for two-dimensional $Z_2$ topological phase transitions at high-symmetry points in all layer groups
• Simple Models for All Topological Phases
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Exploring Spectral Singularities in Dirac Semimetals: The Role of Non-Hermitian Physics and Dichroism
• Crystal Growth and anisotropic magneto-transport properties of semimetallic LaNiSb3
• Realisation of Symmetry Enforced Two-Dimensional Dirac Fermions in Nonsymmorphic $\alpha$-Bismuthene
• Nodal lines in a honeycomb plasmonic crystal with synthetic spin
• Chiral Majorana Fermions in two dimensional square lattice antiferromagnet with proximity-induced superconductivity
• Classification of mass terms in kagome semimetals