Catalogue of Topological Electronic Materials

Abstract

Topological electronic materials are new quantum states of matter hosting novel linear responses in the bulk and anomalous gapless states at the boundary, and are for scientific and applied reasons under intensive research in physics and in materials sciences. The detection for such materials has so far been hindered by the level of complication involved in the calculation of the so-called topological invariants, and is hence considered a specialized task that requires both experience with materials and expertise with advanced theoretical tools. Here we introduce an effective, efficient and fully automated algorithm in obtaining the topological invariants for all non-magnetic materials that are known to human, based on recently developed principles that allow for exhaustive mappings between the symmetry representation of occupied bands and the topological invariants. Our algorithm requires as input only the occupied-band information (energy and wavefunction) at a handful (up to eight) of high-symmetry points in the Brillouin zone, which is readily calculable with any first-principles software. In return, it is capable of providing a detailed topological classification of all non-magnetic materials. Equipped with this method we have scanned through a total of 39519 materials available in structural databases, and found that as many as 8056 of them are actually topological (8889 if spin-orbital coupling is neglected). These are further catalogued into classes of 5005 topological semimetals,1814 topological insulators and 1237 topological crystalline insulators, most of which are new to human knowledge. All the results are available and searchable at http://materiae.iphy.ac.cn/ .

122 pages, 3 figures, 1 short table and 5 long tables

References in corpus (71)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Insulators in Three Dimensions
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Insulators with Inversion Symmetry
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Classification of topological quantum matter with symmetries
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological Crystalline Insulators
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Quantized Electric Multipole Insulators
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Periodic table for topological insulators and superconductors
• Dirac semimetal in three dimensions
• Topological nodal semimetals
• Higher-Order Topological Insulators
• Topological quantum chemistry
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Topological Crystalline Insulators in the SnTe Material Class
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Reflection symmetric second-order topological insulators and superconductors
• Topological nodal line semimetals with and without spin-orbital coupling
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Topological Kondo Insulators
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Topological Semimetals
• Inversion Symmetric Topological Insulators
• Multiple types of topological fermions in transition metal silicides
• Hourglass Fermions
• Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• Nodal surface semimetals: Theory and material realization
• Correlated Topological Insulators with Mixed Valence
• Quantitative mappings between symmetry and topology in solids
• Double crystallographic groups and their representations on the Bilbao Crystallographic Server
• Symmetry indicators and anomalous surface states of topological crystalline insulators
• Weyl Node and Spin Texture in Trigonal Tellurium and Selenium
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Topological nodal-line semimetals in alkaline-earth stannides, germanides and silicides
• Observation of a Robust Zero-energy Bound State in Iron-based Superconductor Fe(Te,Se)
• Chiral Optical Response of Multifold Fermions
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Topological Crystalline Insulators and Dirac Octets in Anti-perovskites
• From Nodal Chain Semimetal To Weyl Semimetal in HfC
• Wallpaper Fermions and the Nonsymmorphic Dirac Insulator
• Three-Dimensional Topological Insulators in I-III-VI${}_2$ and II-IV-V${}_2$ Chalcopyrite Semiconductors
• Rock-salt SnS and SnSe: Native Topological Crystalline Insulators
• Spinless Topological Insulators without Time-Reversal Symmetry
• Topological Insulators from Group Cohomology
• Dirac and nodal line magnons in three-dimensional antiferromagnets
• Topological semimetals and topological insulators in rare earth monopnictides
• Class of Rashba ferroelectrics in hexagonal semiconductors
• Berry-phase description of Topological Crystalline Insulators
• Hybrid Dirac Semimetal in CaAgBi Materials Family
• Electronic structures of transition metal dipnictides $XP{n}_2$ ($X$=Ta, Nb; $Pn$=P, As, Sb)
• Weak topological insulators induced by the inter-layer coupling: A first-principles study of stacked Bi2TeI
• Two different topological insulator phases in NaBaBi
• Weyl Ferroelectric Semimetal
• Prediction of $\mathrm{TiRhAs}$ as a Dirac Nodal Line Semimetal via First-Principles Calculations

Cited by in corpus (403)

• Symmetry and Topology in Non-Hermitian Physics
• Topological axion states in magnetic insulator MnBi${}_2$Te${}_4$ with the quantized magnetoelectric effect
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• High-throughput calculations of magnetic topological materials
• Irvsp: to obtain irreducible representations of electronic states in the VASP
• PyProcar: A Python library for electronic structure pre/post-processing
• Semimetals for high performance photodetection
• Two-dimensional second-order topological insulator in graphdiyne
• Experimental discovery of bulk-disclination correspondence
• Magnetic Topological Quantum Chemistry
• Electronic Transport and quantum oscillation of Topological Semimetals
• Spin-group symmetry in magnetic materials with negligible spin-orbit coupling
• Quantum phases driven by strong correlations
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• All Topological Bands of All Nonmagnetic Stoichiometric Materials
• Topological quantum materials from the viewpoint of chemistry
• Topological Materials Discovery from Crystal Symmetry
• Non-Abelian reciprocal braiding of Weyl points and its manifestation in $\text{ZrTe}$
• Engineering Corner States from Two-Dimensional Topological Insulators
• Material design with the van der Waals stacking of bismuth-halide chains realizing a higher-order topological insulator
• Experimental observation of non-Abelian topological charges and bulk-edge correspondence
• The 2021 Quantum Materials Roadmap
• Large nonreciprocal absorption and emission of radiation in type-I Weyl semimetals with time reversal symmetry breaking
• Real Space Invariants: Twisted Bulk-Boundary Correspondence of Fragile Topology
• Unsupervised machine learning and band topology
• Liganded Xene as a Prototype of Two-Dimensional Stiefel-Whitney Insulators
• Computation and data driven discovery of topological phononic materials
• Enumeration of spin-space groups: Towards a complete description of symmetries of magnetic orders
• First Principles Calculations for Topological Quantum Materials
• Band Representations and Topological Quantum Chemistry
• Topological and geometrical aspects of band theory
• Phononic Helical Nodal Lines with $\mathcal{P}\mathcal{T}$ Protection in MoB${}_2$
• Flat bands and perfect metal in trilayer moiré graphene
• Topological Semimetal Nanostructures: From Properties to Topotronics
• Refined symmetry indicators for topological superconductors in all space groups
• Catalog of Unconventional Magnons in Collinear Magnets
• Type-III Weyl Semimetals: (TaSe4)2I
• Projectively enriched symmetry and topology in acoustic crystals
• Abundance of ${\mathbb{Z}}_2$ topological order in exfoliable two-dimensional insulators
• The role of delocalized chemical bonding in square-net-based topological semimetals
• Acoustic Möbius insulators from projective symmetry
• Higher-order Dirac fermions in three dimensions
• Topological Weaire-Thorpe models of amorphous matter
• Discovering Inorganic Electrides from an Automated Computational Screening
• Spin-Space Groups and Magnon Band Topology
• $C_n$-symmetric higher-order topological crystalline insulators in atomically thin transition-metal dichalcogenides
• Screening 2D materials with topological flat bands
• Symmetry-based indicators for topological Bogoliubov-de Gennes Hamiltonians
• Multifold nodal points in magnetic materials
• AI-driven inverse design of materials: Past, present and future
• ${\mathbb{Z}}_2$-projective translational symmetry protected topological phases
• Fragile Phases As Affine Monoids: Classification and Material Examples
• Symmetry indicators of band topology
• Band Engineering of Dirac Semimetals using Charge Density Waves
• Efficient First-Principles Approach with a Pseudohybrid Density Functional for Extended Hubbard Interactions
• Second Order Topological Insulator State in Hexagonal Lattices and its Abundant Material Candidates
• High-throughput search for magnetic and topological order in transition metal oxides
• Quantum anomalous Hall effect from inverted charge transfer gap
• Exploring Topological Superconductivity in Topological Materials
• Catalogue of topological phonon materials
• Higher-order topological band structures
• Spin-Resolved Topology and Partial Axion Angles in Three-Dimensional Insulators
• Detection of Topological Materials with Machine Learning
• Quasi-symmetry protected topology in a semi-metal
• ${\mathbb{Z}}_2$-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups
• Topological states in quasicrystals
• Exhaustive constructions of effective models in 1651 magnetic space groups
• Atomic limit and inversion-symmetry indicators for topological superconductors
• Realization of a Hopf insulator in circuit systems
• Topological classification and diagnosis in magnetically ordered electronic materials
• Quantum simulation for three-dimensional chiral topological insulator
• Are there universal signatures of topological phases in high harmonic generation? Probably not
• Application of topological quantum chemistry in electrides
• Purely rotational symmetry-protected topological crystalline insulator $\alpha$-Bi4Br4
• The gauge-field extended $k\cdot p$ method and novel topological phases
• Topological Semimetal driven by Strong Correlations and Crystalline Symmetry
• Dislocation as a bulk probe of higher-order topological insulators
• Nontrivial Quantum Geometry and the Strength of Electron-Phonon Coupling
• Complete classification of band nodal structures
• A systematic study of stacked square nets: from Dirac fermions to material realizations
• Symmetry indicators for topological superconductors
• Real space topological invariant and higher-order topological Anderson insulator in two-dimensional non-Hermitian systems
• Topological thermal transport
• Quasicrystalline Chern Insulators
• Two-dimensional topological semimetals
• Bulk-corner correspondence of time-reversal symmetric insulators: deduplicating real-space invariants
• Charge-4 Weyl point: Minimum lattice model and chirality-dependent properties
• SpaceGroupIrep: A package for irreducible representations of space group
• Computation of topological phase diagram of disordered Pb${}_{1-x}$Sn${}_x$Te using the kernel polynomial method
• Minimal non-abelian nodal braiding in ideal metamaterials
• Filling anomaly for general 2D and 3D $C_4$ symmetric lattices
• Computational Search for Magnetic and Non-magnetic 2D Topological Materials using Unified Spin-orbit Spillage Screening
• Kramers Nodal Line Metals
• Magnetic Weyl semimetal in K${}_2$Mn${}_3$(AsO${}_4$)${}_3$ with the minimum number of Weyl points
• Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
• Direct observation of six-fold exotic fermions in topological semimetal PdSb${}_2$
• Artificial Intelligence for High-Throughput Discovery of Topological Insulators: the Example of Alloyed Tetradymites
• Topological Zero-Dimensional Defect and Flux States in Three-Dimensional Insulators
• Comprehensive scan for nonmagnetic Weyl semimetals with nonlinear optical response
• Family of Two Dimensional Transition Metal Dichlorides Fundamental Properties, Structural Defects, and Environmental Stability
• Quantum anomalous Hall effect in two-dimensional magnetic insulator heterojunctions
• Fragile topology in line-graph lattices with two, three, or four gapped flat bands
• Acoustic corner states in topological insulators with built-in Zeeman-like fields
• A Class of Magnetic Topological Material Candidates with Hypervalent Bi Chains
• Two-dimensional topological materials discovery by symmetry-indicator method
• Data mining, dashboard and statistical analysis: a powerful framework for the chemical design of molecular nanomagnets
• Multimodal Foundation Models for Material Property Prediction and Discovery
• Pressure-tunable large anomalous Hall effect of the ferromagnetic kagome-lattice Weyl semimetal Co3Sn2S2
• Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP
• Electronic and Magnetic Properties of Topological Semimetal Candidate NdSbTe
• qeirreps: an open-source program for Quantum ESPRESSO to compute irreducible representations of Bloch wavefunctions
• Rational design principles for giant spin Hall effect in 5d-transition metal oxides
• Axion coupling in the hybrid Wannier representation
• Topological electronic structure and spin texture of quasi-one-dimensional higher-order topological insulator Bi4Br4
• Large magnetoresistance and non-zero Berry phase in the nodal-line semimetal MoO2
• High-throughput Investigations of Topological and Nodal Superconductors
• Coexistence of zero-, one- and two-dimensional degeneracy in tetragonal SnO${}_2$ phonons
• Discovery of Higher-Order Topological Insulators using the Spin Hall Conductivity as a Topology Signature
• Interplay of local order and topology in the extended Haldane-Hubbard model
• Nonsymmorphic Symmetry-Protected Band Crossings in a Square-Net Metal PtPb${}_4$
• Topological Superconductivity in an s-wave Superconductor and Its Implication to Iron-based Superconductors
• Machine learning spectral indicators of topology
• Symmetry indicator in non-Hermitian systems
• Room-Temperature Topological Phase Transition in Quasi-One-Dimensional Material Bi${}_4$I${}_4$
• Light-induced quantum anomalous Hall effect on the 2D surfaces of 3D topological insulators
• Topological Electronic States in HfRuP Family Superconductors
• Higher-order topological insulators in antiperovskites
• Rotation Symmetry-Protected Topological Phases of Fermions
• Application of the induction procedure and the Smith Decomposition in the calculation and topological classification of electronic band structures in the 230 space groups
• Symmetry invariants and classes of quasiparticles in magnetically ordered systems having weak spin-orbit coupling
• Classification of crystalline insulators without symmetry indicators: atomic and fragile topological phases in twofold rotation symmetric systems
• $N$-band Hopf insulator
• Low-symmetry topological materials for large charge-to-spin interconversion: The case of transition metal dichalcogenide monolayers
• Observation of sixfold degenerate fermions in PdSb${}_2$
• Scaling of Berry-curvature monopole dominated large linear positive magnetoresistance
• Quantum oscillations in acoustic phonons in Weyl semimetals
• Symmetry Analysis of Anomalous Floquet Topological Phases
• Criticality in amorphous topological matter -- beyond the universal scaling paradigm
• Symmetry-enforced topological band crossings in orthorhombic crystals: Classification and materials discovery
• Intrinsic Magnetic Topological Materials
• Dirac lines and loop at the Fermi level in the Time-Reversal Symmetry Breaking Superconductor LaNiGa${}_2$
• Observation of Shubnikov-de Haas Oscillations in Large-Scale Weyl Semimetal WTe2 Films
• Non-trivial topology in a layered Dirac nodal-line semimetal candidate SrZnSb${}_2$ with distorted Sb square nets
• Superconductivity in the WP single crystal
• Structural and electronic properties of realistic two-dimensional amorphous topological insulators
• Electron-phonon coupling strength from ab initio frozen-phonon approach
• Spin-triplet superconductivity from quantum-geometry-induced ferromagnetic fluctuation
• Topological Random Fractals
• Euler Obstructed Cooper Pairing: Nodal Superconductivity and Hinge Majorana Zero Modes
• Amorphous Bi${}_2$Se${}_3$ structural, electronic, and topological nature by first-principles
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• Approaching a Minimal Topological Electronic Structure in Antiferromagnetic Topological Insulator MnBi2Te4 via Surface Modification
• Symmetry-enforced band crossings in trigonal materials: Accordion states and Weyl nodal lines
• Multiple magnetism controlled topological states in EuAgAs
• The Wannier Function Software Ecosystem for Materials Simulations
• Switchable Topological Phase Transition and Novel Nonlinear Optical Properties in ReC2H Monolayer
• Topology invisible to eigenvalues in obstructed atomic insulators
• Symmetry-enforced Band Nodes in 230 Space Groups
• Super-Andreev reflection and longitudinal shift of pseudospin-one fermions
• Topogivity: A Machine-Learned Chemical Rule for Discovering Topological Materials
• Topological elasticity of non-orientable ribbons
• Pressure-induced Superconductivity and Topological Quantum Phase Transitions in the Topological Semimetal ZrTe2
• Robust negative longitudinal magnetoresistance and spin-orbit torque in sputtered Pt3Sn topological semimetal
• Evidence for singular-phonon-induced nematic superconductivity in a topological superconductor candidate Sr${}_{0.1}$Bi${}_2$Se${}_3$
• Disorder-Induced Weyl Semimetal Phase and Sequential Band Inversions in PbSe-SnSe Alloys
• Low-temperature transport properties of intermetallic compound HoAgGe with kagome spin ice state
• Double-bowl State in photonic Dirac nodal line semimetal
• High-throughput screening for Weyl Semimetals with S${}_4$ Symmetry
• A diagnosis scheme for topological degeneracies at high-symmetry momenta
• Symmetry-protected Nodal Points and Nodal Lines in Magnetic Materials
• High-Pressure Crystal Growth, Superconducting Properties, and Electronic Band Structure of Nb2P5
• Coexistence of topological Weyl and nodal-ring states in ferromagnetic and ferrimagnetic double perovskites
• Reversible Non-Volatile Electronic Switching in a Near Room Temperature van der Waals Ferromagnet
• Pressure-induced superconductivity in quasi-one-dimensional semimetal ${\mathrm{Ta}}_2{\mathrm{PdSe}}_6$
• Second-order and real Chern topological insulator in twisted bilayer $\alpha$-graphyne
• Engineering second-order topological insulators via coupling two first-order topological insulators
• Geometry and Topology Tango in Ordered and Amorphous Chiral Matter
• Topological nodal lines and hybrid Weyl nodes in YCoC${}_2$
• Projected Topological Branes
• Topological insulators in the NaCaBi family with large SOC gaps
• Topological Crystalline Insulators with $C_2$ Rotation Anomaly
• Anisotropic non-split zero-energy vortex bound states in a conventional superconductor
• On the topological surface states of the intrinsic magnetic topological insulator Mn-Bi-Te family
• Influence of point defects on the electronic and topological properties of monolayer WTe${}_2$
• MSGCorep: A package for corepresentations of magnetic space groups
• Large shift current, $\pi$ Zak phase and unconventional nature in Se and Te
• Quantifying nonadiabaticity in major families of superconductors
• Weyl Phonons: The connection of topology and chirality
• Traversing double-well potential energy surfaces: photoinduced concurrent intralayer and interlayer structural transitions in XTe2 (X=Mo, W)
• An Introduction to Topological Data Analysis for Physicists: From LGM to FRBs
• Magnetic and electronic properties of Eu${}_5$In${}_2$Sb${}_6$
• Structural disorder-driven topological phase transition in noncentrosymmetric BiTeI
• Topological crystalline insulator state with type-II Dirac fermions in transition metal dipnictides
• Topological Signatures in Quantum Transport in Anomalous Floquet-Anderson Insulators
• Discovering two-dimensional magnetic topological insulators by machine learning
• Topological phases in pyrochlore thallium niobate Tl${}_2$Nb${}_2$O${}_{6+x}$
• A Monopole Mining Method for High Throughput Screening Weyl Semimetals
• Magnetic susceptibility of topological semimetals
• Colossal negative magnetoresistance in the complex charge density wave regime of an antiferromagnetic Dirac semimetal
• Microscopic probe of magnetic polarons in antiferromagnetic Eu${}_5$In${}_2$Sb${}_6$
• Experimental review on Majorana zero-modes in hybrid nanowires
• Two-dimensional weak-type topological insulators in inversion symmetric crystals
• Third-order charge transport in a magnetic topological semimetal
• From Atomic Semimetal to Topological Nontrivial Insulator
• Probing the topological surface states in superconducting Sn4Au single crystal: A magneto transport study
• Doping-induced superconductivity in the topological semimetal Mo5Si3
• Weyl Semimetals with $S_4$ symmetry
• Topological phases of the dimerized Hofstadter butterfly
• Majorana multipole response: General theory and application to wallpaper groups
• Computational search for Dirac and Weyl nodes in $f$-electon antiperovskites
• Dimensionalities and multiplicities determination of crystal nets
• Superconducting density of states and bandstructure at the surface of the candidate topological superconductor Au2Pb
• Twisted nodal wires and three-dimensional quantum spin Hall effect in distorted square-net compounds
• Kinetic magnetoelectric effect in topological insulators
• Single-point spin Chern number in a supercell framework
• Electronic structure of a Si-containing topological Dirac semimetal CaAl2Si2
• Spin-momentum locking from topological quantum chemistry: applications to multifold fermions
• Engineering topological phases in triple HgTe/CdTe quantum wells
• An investigation of type-I superconductivity in single crystal of Pb2Pd
• Highly Tunable Band Inversion in AB2X4 (A=Ge, Sn, Pb; B=As, Sb, Bi; X=Se, Te) Compounds
• Altermagnetic Instabilities from Quantum Geometry
• Ferroelectrically tunable topological phase transition in In${}_2$Se${}_3$ thin films
• Robust Dirac lines against Ge vacancy and possible spin-orbit Dirac points in nonsymmorphic HfGe0.92Te
• Interlayer Coupling Induced Topological Phase Transition to Higher Order
• Orbital shift-induced boundary obstructed topological materials with a large energy gap
• Topological classification of intrinsic 3D superconductors using anomalous surface construction
• Dynamical time-reversal and inversion symmetry breaking, dimensional crossover, and chiral anomaly in $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Spanning Fermi arcs in a two-dimensional magnet
• Effect of strain and many-body corrections on the band inversions and topology of bismuth
• Magnetic band representations, Fu-Kane-like symmetry indicators and magnetic topological materials
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Topologically distinct atomic insulators
• Topological bands in two-dimensional orbital-active bipartite lattices
• Strong-Coupling Superconductivity with $T_c$ $\sim$ 10.8 K Induced by P Doping in the Topological Semimetal Mo${}_5$Si${}_3$
• Bulk superconductivity and non-trivial band topology analysis of Pb2Pd
• Zeros of Green Functions in Topological Insulators
• Intertwined Weyl phases emergent from higher-order topology and unconventional Weyl fermions via crystalline symmetry
• Topological insulators and higher-order topological insulators from gauge-invariant 1D lines
• Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals
• Correlation Driven Topological Insulator-to-Weyl Semimetal Transition in Actinide System UNiSn
• Exact Solution to Haldane-BCS-Hubbard Model Along the Symmetric Lines: Interaction Induced Topological Phase Transition
• Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
• Structure, physical properties, and magnetically tunable topological phases in topological semimetal EuCuBi
• Duality,Hidden Symmetry and Dynamic Isomerism in 2D Hinge Structures
• High-throughput screening of Weyl semimetals
• Linear Response in Topological Materials
• Tunable spin Hall and spin Nernst effects in Dirac line-node semimetals XCuYAs (X=Zr, Hf; Y=Si, Ge)
• A robust weak topological insulator in a bismuth halide Bi4Br2I2
• Magnetic hourglass fermions: from exhaustive symmetry conditions to high-throughput materials predictions
• Magnetoresistance and Kondo effect in the nodal-line semimetal VAs${}_2$
• Homotopic classification of band structures: Stable, fragile, delicate, and stable representation-protected topology
• Filling-enforced Dirac loops and their evolutions under various perturbations
• From local spin nematicity to altermagnets: Footprints of band topology
• Topological Phase Transition in Quasi-One-Dimensional Bismuth Iodide Bi4I4
• Two-dimensional Weyl nodal-line semimetal and antihelical edge states in a modified Kane-Mele model
• Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
• Novel Family of Topological Semimetals with Butterfly-like Nodal Lines
• Simulating Floquet topological phases in static systems
• Revisiting (higher order and crystalline) topology in old models of lead telluride
• Topological field-effect transistor with quantized ON/OFF conductance of helical/chiral dislocation states
• Discovery of Ĉ${}_2$ rotation anomaly in topological crystalline insulator SrPb
• Classification of Weyl points and nodal lines based on magnetic point groups for spin-$\frac{1}{2}$ quasiparticles
• Dual topological nodal line and nonsymmorphic Dirac semimetal in three dimensions
• Phase transitions in the Haldane-Hubbard model with ionic potentials
• Long-Time Magnetic Relaxation in Antiferromagnetic Topological Material EuCd${}_2$As${}_2$
• Green's Function Approach to Interacting Higher-order Topological Insulators
• Analysis of the unconventional chiral fermions in a non-centrosymmetric chiral crystal $\text{PtAl}$
• Quantum Criticality of Excitonic Insulating Transition in Nodal Line Semimetal ZrSiS
• Quasi-One-Dimensional Higher-Order Topological Insulators
• Magnetic wallpaper Dirac fermions and topological magnetic Dirac insulators
• Topological Wannier cycles for the bulk and edges
• Stability of dynamical topology against dynamical noise in quantum quenches
• Pressure Effect on Band Inversion in AECd2As2
• Higher-order topological insulators in a crisscross antiferromagnetic model
• Large Magnetoresistance and Nontrivial Berry Phase in Nb3Sb Crystals with A15 Structure
• Surface and electronic structure at atomic length scales of the non-symmorphic antiferromagnet Eu${}_5$In${}_2$Sb${}_6$
• Topologically localized insulators
• Fully-gapped superconductivity and topological aspects of the noncentrosymmetric TaReSi superconductor
• BerryEasy: A GPU enabled python package for diagnosis of nth-order and spin-resolved topology in the presence of fields and effects
• Predicting topological materials: symmetry-based indicator theories and beyond
• Diagnosis of topological nodal lines with nontrivial monopole charge in the presence of rotation symmetries
• Possible instabilities in quadratic and cubic nodal line fermion systems with correlated interactions
• Direct demonstration of bulk-boundary correspondence in higher-order topological superconductors with chiral symmetry
• Simulating Higher-Order Topological Insulators in Density Wave Insulators
• Topological electronic bands in crystalline solids
• BaHgSn: A Dirac semimetal with surface hourglass fermions
• Topology in abundance
• Multi-type Dirac fermions protected by orthogonal glide symmetries in a noncentrosymmetric system
• Observation of floating surface state in obstructed atomic insulator candidate NiP${}_2$
• Evidence the ferromagnetic order on CoSb layer of LaCoSb${}_2$
• A complementary screening for quantum spin Hall insulators in 2D exfoliable materials
• Materials discovery acceleration by using condition generative methodology
• Metal-insulator-like transition, superconducting dome and topological electronic structure in Ga-doped Re${}_3$Ge${}_7$
• All hourglass bosonic excitations in the 1651 magnetic space groups and 528 magnetic layer groups
• Quasi-2D anomalous Hall Mott insulator of topologically engineered Jeff =1/2 electrons
• High-Pressure Synthesis of a Massive and Non-Symmorphic Dirac Semimetal Candidate MoP${}_4$
• Moiré semiconductors on twisted bilayer dice lattice
• Designing single and degenerate flat bands in the kagome lattice with long-range hopping
• Topological metals constructed by sliding quantum wire arrays
• XFe4Ge2 (X = Y, Lu) and Mn3Pt: Filling-enforced magnetic topological metals
• Altermagnetic Weyl node-network semimetals protected by spin symmetry
• Kramers-Weyl fermions in the chiral charge density wave material (TaSe${}_4$)${}_2$I
• Gapless Criterion for Crystals from Effective Axion Field
• Encyclopedia of emergent particles in three-dimensional crystals
• Chiral Topological Phononic Quasiparticles in Enantiomeric Crystals SrSi${}_2$ and BaSi${}_2$
• SrPd, a candidate material with extremely large magnetoresistance
• Magnetotransport due to conductivity fluctuations in non-magnetic ZrTe2 nanoplates
• Strong and Weak Three-Dimensional Topological Insulators Probed by Surface Science Methods
• Two-dimensional orbital-obstructed insulators with higher-order band topology
• Experimental detection of topological electronic state and large linear magnetoresistance in $SrS{n}_4$ superconductor
• Multiple types of unconventional quasiparticles in the chiral crystal CsBe${}_2$F${}_5$
• Higher-order topological superconductors characterized by Fermi level crossings
• Topological Signatures in Nodal Semimetals through Neutron Scattering
• Topological phases of amorphous matter
• Topological Descendants of Multicritical EuTl2
• Efficient photocatalytic CO2 Reduction to C2+ Products with Pt1-xPdxSn4 Dirac Nodal Arc Semimetal
• Tuning of anomalous magnetotransport properties in half-Heusler topological semimetal GdPtBi
• Shubnikov-de Haas oscillations and planar Hall effect in HfTe2
• Topological phase in the extended Haldane-Hubbard model with sublattice-dependent repulsion
• Spin Weyl Topological Insulators
• Topological insulators on fractal lattices: A general principle of construction
• Emergent Topological Semimetal
• Quantized thermal and spin transports of dirty planar topological superconductors
• A first-principles investigation of band inversion in topologically nontrivial Na2AgX (X= As, Sb and Bi) full Heusler compounds
• Environmental Doping-Induced Degradation of the Quantum Anomalous Hall Insulators
• Ideal Spin-Orbit-Free Dirac Semimetal and Diverse Topological Transitions in Pr${}_8$CoGa${}_3$ Family
• Correlated Zak insulator in organic antiferromagnets
• Magnetotransport in Al6Re
• General corner charge formulas in various tetrahedral and cubic space groups
• Mapping rules from nodal line semimetal to topological crystalline insulator in face centered cubic lattice
• Topological nonsymmorphic insulator versus Dirac semimetal in KZnBi
• Magneto transport and first principle study of strong topological insulator gray Arsenic
• Design triple points, nexus points and related topological phases by stacking monolayers
• Spectroscopic Evidence on Realization of a Genuine Topological Nodal Line Semimetal in LaSbTe
• Dynamic melting and condensation of topological dislocation modes
• Correlated interaction effects in three-dimensional semi-Dirac semimetal
• Hybrid symmetry class topological insulators
• Concurrence of topological electrons and magnons in the Kagome ferromagnet CoCu3(OH)6Cl2
• Phase diagram of the interacting Haldane model with spin-dependent sublattice potentials
• The destiny of obstructed atomic insulator under correlation
• Theory of fractional corner charges in cylindrical crystal shapes
• Emergent topological states via digital (001) oxide superlattices
• IrRep: symmetry eigenvalues and irreducible representations of ab initio band structures
• Fragile topology in nodal-line semimetal superconductors
• Projective Spacetime Symmetry of Spacetime Crystals
• Topological States in Chevrel Phase Materials from First-principle Calculations
• Temperature dependence of quantum oscillations from non-parabolic dispersions
• Topological Aspects of Antiferromagnets
• Sn2Pd: a possible superconducting material with topological surface states
• Local symmetry groups for arbitrary wavevectors
• Interacting Virtual Topological Phases in Defect-Rich 2D Materials
• High-throughput search for topological magnon materials
• Fermiology and transport properties of the proposed topological crystalline insulator SrAg4Sb2
• Role of effective mass anisotropy in realizing a hybrid nodal-line fermion state
• Charge instability of topological Fermi arcs in chiral crystal CoSi
• High-chirality and multiquaternion Weyl nodes in hexagonal ReO${}_3$
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Absence of superconductivity in topological metal ScInAu${}_2$
• Realization of Hopf-link structure in phonon spectra: Symmetry guidance and High-throughput investigation
• Nodal higher-order topological superconductivity from C6-symmetric Dirac semimetals
• Topological Charge Quadrupole Protected by Spin-Orbit U(1) Quasi-Symmetry in Antiferromagnet NdBiPt
• Physical properties of RhGe and CoGe single crystals synthesized under high pressure
• Predicting Many Crystal Properties via an Adaptive Transformer-based Framework
• Higher-order topological insulators in two-dimensional antiferromagnetic and altermagnetic chromium-based group-IV chalcogenides
• Quantum geometry in correlated electron phases: from flat band to dispersive band
• Local expression of fractional corner charges in obstructed atomic insulators and relationship with the fractional disclination charges
• Higher-Order Topology in Monolayer FeSe
• Topological transitions controlled by the interaction range
• Hidden wallpaper fermion and third-order topological insulator
• Confinement Effect Driven Quantum Spin Hall Effect in Monolayer AuTe2Cl
• Enhancing Large Language Models with Domain-Specific Knowledge: The Case in Topological Materials
• Preparation of large Cu3Sn single crystal by Czochralski method
• Spacetime symmetry indicators for two-dimensional Floquet topological insulators
• Gapless States Localized along a Staircase Edge in Second-Order Topological Insulators
• Fragile topological insulators protected by rotation symmetry without spin-orbit coupling
• A Unified View of Topological Phase Transition in Band Theory
• Fermi-surface diagnosis for topological superconductivity with $s$-wave-like pairing symmetries
• Molecular Beam Epitaxy Growth and Doping Modulation of Topological Semimetal NiTe${}_2$
• Dynamical Symmetry Indicators for Floquet Crystals
• Exploring Spectral Singularities in Dirac Semimetals: The Role of Non-Hermitian Physics and Dichroism
• Symmetry-protected topological polarons
• Periodic Behavior of Topology in Graphene with Nanohole Array
• Wavefunction-Free Approach for Predicting Nonlinear Responses in Weyl Semimetals
• Colossal magnetoresistance in a nonsymmorphic antiferromagnetic insulator
• Topological property of graphene with triangular array of nanoholes
• Superconductivity in the pressure-amorphized topological insulator CrP${}_4$
• Exploiting $\vartheta -$functions for the identification of topological materials
• Topological power pumping in quantum circuits
• Magnetization signature of topological surface states in a non-symmorphic superconductor
• Analysis of the singular band structure occurring in one-dimensional topological normal and superfluid fermionic systems: A pedagogical description
• de Haas-van Alphen effect of correlated Dirac states in kagome metal Fe3Sn2
• ToMSGKpoint: A user-friendly package for computing symmetry transformation properties of electronic eigenstates of nonmagnetic and magnetic crystalline materials
• Predication of topological states in the allotropes of group-IV elements
• Three-dimensional spinless Euler insulators with rotational symmetry
• Revealing Spin and Spatial Symmetry Decoupling: New Insights into Magnetic Systems with Dzyaloshinskii-Moriya Interaction
• Disorder-mediated linear and nonlinear magnetotransport in the charge-density-wave material $\mathrm{T}{\mathrm{a}}_2\mathrm{NiS}{\mathrm{e}}_7$
• Magnetic topological Weyl fermions in half-metallic In${}_2$CoSe${}_4$
• Electronic confinement of surface states in a topological insulator nanowire
• Material realization of spinless, covalent-type Dirac semimetals in three dimensions
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Design and characterization of all two-dimensional fragile topological bands
• Accelerated Discovery of Topological Conductors for Nanoscale Interconnects