The (High Quality) Topological Materials In The World

Abstract

"Topological Quantum Chemistry (TQC) links the chemical and symmetry structure of a given material with its topological properties. This field tabulates the data of the 10398 real-space atomic limits of materials, and solves the compatibility relations of electronic bands in momentum space. A material that is not an atomic limit or whose bands do not satisfy the compatibility relations, is a topological insulator/semimetal. We use TQC to find the topological stoichiometric non-magnetic, "high-quality'' materials in the world. We develop several code additions to VASP which can compute all characters of all symmetries at all high-symmetry points in the Brillouin Zone (BZ). Using TQC we then develop codes to check which materials in ICSD are topological. Out of 26938 stoichiometric materials in our filtered ICSD database, we find 2861 topological insulators (TI) and 2936 topological semimetals (2505 and 2560 non-f electron, respectively). Our method is uniquely capable to show that none of the TI's found exhibit fragile topology. We partition the topological materials in different physical classes. For the majority of the 5797 "high-quality'' topological material, we compute: the topological class (equivalence classes of TQC elementary band representations -- equivalent to the topological index), the symmetry(ies) that protects the topological class, the representations at high symmetry points and the direct gap (for insulators), and the topological index. For topological semimetals we then compute whether the system becomes a topological insulator (whose index/class we compute) upon breaking symmetries -- useful for experiments. 2152 more TI's are obtained in this way. For almost all 5065 non-f-electron topological materials, we provide the electronic band structures, allowing the identification of quantitative properties (gaps, velocities). Remarkably, our exhaustive results show that a large proportion ( ~ 24% !) of all materials in nature are topological (confirmed by calculations of "low-quality'' materials). We confirm the topology of several new materials by Wilson loop calculations. We added an open-source code and end-user button on the Bilbao Crystallographic Server (BCS) which checks the topology of any material. We comment on the chemistry of each compound and sample part of the "low-quality'' ICSD data to find more materials."

arXiv comment1958 pages and 4989 figures. New Version, several minor bugs, typos, and lists corrected; the current version of our codes have been now released on http://www.cryst.ehu.es/cryst/checktopologicalmat where the topological nature of any material can be checked

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• Topological Insulators with Inversion Symmetry
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• Quantized Electric Multipole Insulators
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Higher-Order Topological Insulators
• Topological quantum chemistry
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
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• Reflection symmetric second-order topological insulators and superconductors
• Higher-Order Topology in Bismuth
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Nodal-chain metals
• Hourglass Fermions
• Fragile Topology and Wannier Obstructions
• Quantitative mappings between symmetry and topology in solids
• Double crystallographic groups and their representations on the Bilbao Crystallographic Server
• Topological Nodal Line Semimetals in CaP3 family of materials
• Efficient Topological Materials Discovery Using Symmetry Indicators
• Wallpaper Fermions and the Nonsymmorphic Dirac Insulator
• Topology of Disconnected Elementary Band Representations
• Disconnected Elementary Band Representations, Fragile Topology, and Wilson Loops as Topological Indices: An Example on the Triangular Lattice
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Cited by in corpus (472)

• 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
• Charge density waves and electronic properties of superconducting kagome metals
• High-throughput calculations of magnetic topological materials
• Realization of the field-free Josephson Diode
• Irvsp: to obtain irreducible representations of electronic states in the VASP
• 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
• 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
• 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
• A Charge-Density-Wave Topological Semimetal
• 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
• Catalog of Unconventional Magnons in Collinear Magnets
• Refined symmetry indicators for topological superconductors in all space groups
• Topological Semimetal Nanostructures: From Properties to Topotronics
• Projectively enriched symmetry and topology in acoustic crystals
• Type-III Weyl Semimetals: (TaSe4)2I
• 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
• Engineering Weyl phases and nonlinear Hall effects in T${}_d$-MoTe${}_2$
• Higher-order Dirac fermions in three dimensions
• Topological Weaire-Thorpe models of amorphous matter
• The different shapes of spin textures as a journey through Brillouin zone chiral and polar symmetries
• Discovering Inorganic Electrides from an Automated Computational Screening
• Observation of spin-momentum locked surface states in amorphous Bi${}_2$Se${}_3$
• 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
• Multifold nodal points in magnetic materials
• Unconventional Materials: the mismatch between electronic charge centers and atomic positions
• AI-driven inverse design of materials: Past, present and future
• ${\mathbb{Z}}_2$-projective translational symmetry protected topological phases
• Bulk and surface electronic structure of the dual-topology semimetal Pt2HgSe3
• Fragile Phases As Affine Monoids: Classification and Material Examples
• Symmetry indicators of band topology
• Quantum anomalous Hall effect from inverted charge transfer gap
• Efficient First-Principles Approach with a Pseudohybrid Density Functional for Extended Hubbard Interactions
• Band Engineering of Dirac Semimetals using Charge Density Waves
• High-throughput search for magnetic and topological order in transition metal oxides
• Second Order Topological Insulator State in Hexagonal Lattices and its Abundant Material Candidates
• Exploring Topological Superconductivity in Topological Materials
• Signature of large-gap quantum spin Hall state in the layered mineral jacutingaite
• Topological Weyl Altermagnetism in CrSb
• Catalogue of topological phonon materials
• Higher-order topological band structures
• Crystallographic splitting theorem for band representations and fragile topological photonic crystals
• Detection of Topological Materials with Machine Learning
• Spin-Resolved Topology and Partial Axion Angles in Three-Dimensional Insulators
• Quasi-symmetry protected topology in a semi-metal
• Topological states in quasicrystals
• ${\mathbb{Z}}_2$-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups
• Atomic limit and inversion-symmetry indicators for topological superconductors
• Exhaustive constructions of effective models in 1651 magnetic space groups
• Topological classification and diagnosis in magnetically ordered electronic materials
• Realization of a Hopf insulator in circuit systems
• Application of topological quantum chemistry in electrides
• Quantum simulation for three-dimensional chiral topological insulator
• Purely rotational symmetry-protected topological crystalline insulator $\alpha$-Bi4Br4
• Topological Semimetal driven by Strong Correlations and Crystalline Symmetry
• Dislocation as a bulk probe of higher-order topological insulators
• Are there universal signatures of topological phases in high harmonic generation? Probably not
• The gauge-field extended $k\cdot p$ method and novel topological phases
• Nontrivial Quantum Geometry and the Strength of Electron-Phonon Coupling
• Superconductivity and orbital-selective nematic order in a new titanium-based kagome metal CsTi3Bi5
• Symmetry indicators for topological superconductors
• A systematic study of stacked square nets: from Dirac fermions to material realizations
• Complete classification of band nodal structures
• Two-dimensional topological semimetals
• Quasicrystalline Chern Insulators
• Topological thermal transport
• Real space topological invariant and higher-order topological Anderson insulator in two-dimensional non-Hermitian systems
• Bulk-corner correspondence of time-reversal symmetric insulators: deduplicating real-space invariants
• Dual topology in Jacutingaite Pt${}_2$HgSe${}_3$
• 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
• Charge-4 Weyl point: Minimum lattice model and chirality-dependent properties
• The Rashba Scale: Emergence of Band Anti-Crossing as a Design Principle for Materials with Large Rashba coefficient
• Minimal non-abelian nodal braiding in ideal metamaterials
• Drawing Phase Diagrams of Random Quantum Systems by Deep Learning the Wave Functions
• Superconductivity and Fermi Surface Nesting in the Candidate Dirac Semimetal NbC
• Computational Search for Magnetic and Non-magnetic 2D Topological Materials using Unified Spin-orbit Spillage Screening
• Filling anomaly for general 2D and 3D $C_4$ symmetric lattices
• Large kagome family candidates with topological superconductivity and charge density waves
• Kane-Mele with a twist: Quasicrystalline higher-order topological insulators with fractional mass kinks
• Kramers Nodal Line Metals
• Magnetic Weyl semimetal in K${}_2$Mn${}_3$(AsO${}_4$)${}_3$ with the minimum number of Weyl points
• High-throughput search for magnetic topological materials using spin-orbit spillage, machine-learning and experiments
• First-principles hyperfine tensors for electrons and holes in GaAs and silicon
• Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
• From triple-point materials to multiband nodal links
• Artificial Intelligence for High-Throughput Discovery of Topological Insulators: the Example of Alloyed Tetradymites
• Quantum anomalous Hall effect in two-dimensional magnetic insulator heterojunctions
• Comprehensive scan for nonmagnetic Weyl semimetals with nonlinear optical response
• Topological Zero-Dimensional Defect and Flux States in Three-Dimensional Insulators
• Acoustic corner states in topological insulators with built-in Zeeman-like fields
• Two-dimensional topological materials discovery by symmetry-indicator method
• Electronic structures and topological properties in nickelates $L{n}_{n+1}$Ni${}_n$O${}_{2n+2}$
• A Class of Magnetic Topological Material Candidates with Hypervalent Bi Chains
• Multimodal Foundation Models for Material Property Prediction and Discovery
• Tenfold Topology of Crystals: Unified classification of crystalline topological insulators and superconductors
• Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP
• Pressure-tunable large anomalous Hall effect of the ferromagnetic kagome-lattice Weyl semimetal Co3Sn2S2
• qeirreps: an open-source program for Quantum ESPRESSO to compute irreducible representations of Bloch wavefunctions
• Large magnetoresistance and non-zero Berry phase in the nodal-line semimetal MoO2
• Axion coupling in the hybrid Wannier representation
• Topological electronic structure and spin texture of quasi-one-dimensional higher-order topological insulator Bi4Br4
• Electronic and Magnetic Properties of Topological Semimetal Candidate NdSbTe
• Coexistence of zero-, one- and two-dimensional degeneracy in tetragonal SnO${}_2$ phonons
• High-throughput Investigations of Topological and Nodal Superconductors
• Interplay of local order and topology in the extended Haldane-Hubbard model
• Discovery of Higher-Order Topological Insulators using the Spin Hall Conductivity as a Topology Signature
• Machine learning spectral indicators of topology
• 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
• Room-Temperature Topological Phase Transition in Quasi-One-Dimensional Material Bi${}_4$I${}_4$
• Symmetry indicator in non-Hermitian systems
• Optical conductivity of multifold fermions: the case of RhSi
• Bulk detection of time-dependent topological transitions in quenched chiral models
• Light-induced quantum anomalous Hall effect on the 2D surfaces of 3D topological insulators
• Saddle-point von Hove singularity and dual topological insulator state in Pt${}_2$HgSe${}_3$
• Giant Photonic Response of Mexican-hat Topological Semiconductors for Mid-infrared to THz Applications
• Higher-order topological insulators in antiperovskites
• Topological Electronic States in HfRuP Family Superconductors
• Classification of Dirac points with higher-order Fermi arcs
• Symmetry invariants and classes of quasiparticles in magnetically ordered systems having weak spin-orbit coupling
• Rotation Symmetry-Protected Topological Phases of Fermions
• Classification of crystalline insulators without symmetry indicators: atomic and fragile topological phases in twofold rotation symmetric systems
• Application of the induction procedure and the Smith Decomposition in the calculation and topological classification of electronic band structures in the 230 space groups
• Discovery of a hybrid topological quantum state in an elemental solid
• Quantum oscillations in acoustic phonons in Weyl semimetals
• Low-symmetry topological materials for large charge-to-spin interconversion: The case of transition metal dichalcogenide monolayers
• Observation of Shubnikov-de Haas Oscillations in Large-Scale Weyl Semimetal WTe2 Films
• Criticality in amorphous topological matter -- beyond the universal scaling paradigm
• Symmetry-enforced topological band crossings in orthorhombic crystals: Classification and materials discovery
• Symmetry Analysis of Anomalous Floquet Topological Phases
• Intrinsic Magnetic Topological Materials
• Dirac lines and loop at the Fermi level in the Time-Reversal Symmetry Breaking Superconductor LaNiGa${}_2$
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Topological and conventional phases of a three dimensional electron glass
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• Engineering magnetic topological insulators in Eu${}_5{M}_2{X}_6$ Zintls
• Spin-triplet superconductivity from quantum-geometry-induced ferromagnetic fluctuation
• Structural and electronic properties of realistic two-dimensional amorphous topological insulators
• Euler Obstructed Cooper Pairing: Nodal Superconductivity and Hinge Majorana Zero Modes
• Topological Random Fractals
• Amorphous Bi${}_2$Se${}_3$ structural, electronic, and topological nature by first-principles
• Multiple magnetism controlled topological states in EuAgAs
• Symmetry-enforced band crossings in trigonal materials: Accordion states and Weyl nodal lines
• Approaching a Minimal Topological Electronic Structure in Antiferromagnetic Topological Insulator MnBi2Te4 via Surface Modification
• Pressure-induced structural transition, metallization, and topological superconductivity in PdSSe
• The Wannier Function Software Ecosystem for Materials Simulations
• Topology invisible to eigenvalues in obstructed atomic insulators
• Super-Andreev reflection and longitudinal shift of pseudospin-one fermions
• Symmetry-enforced Band Nodes in 230 Space Groups
• Topogivity: A Machine-Learned Chemical Rule for Discovering Topological Materials
• Few-layer antimonene electrical properties
• Interacting topological quantum chemistry of Mott atomic limits
• 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
• Topological elasticity of non-orientable ribbons
• Evidence for singular-phonon-induced nematic superconductivity in a topological superconductor candidate Sr${}_{0.1}$Bi${}_2$Se${}_3$
• High-throughput screening for Weyl Semimetals with S${}_4$ Symmetry
• Low-temperature transport properties of intermetallic compound HoAgGe with kagome spin ice state
• Disorder-Induced Weyl Semimetal Phase and Sequential Band Inversions in PbSe-SnSe Alloys
• Double-bowl State in photonic Dirac nodal line semimetal
• Twist-resilient and robust ferroelectric quantum spin Hall insulators driven by van der Waals interactions
• Fragile phonon topology on the honeycomb lattice with time-reversal symmetry
• Rapid Exploration of Topological Band Structures using Deep Learning
• Symmetry-protected Nodal Points and Nodal Lines in Magnetic Materials
• Coexistence of topological Weyl and nodal-ring states in ferromagnetic and ferrimagnetic double perovskites
• A diagnosis scheme for topological degeneracies at high-symmetry momenta
• Second-order and real Chern topological insulator in twisted bilayer $\alpha$-graphyne
• Engineering second-order topological insulators via coupling two first-order topological insulators
• Reversible Non-Volatile Electronic Switching in a Near Room Temperature van der Waals Ferromagnet
• Obstructed insulators and flat bands in topological phase-change materials
• Projected Topological Branes
• Instantaneous response and quantum geometry of insulators
• Spectral and optical properties of Ag${}_3$Au(Se${}_2$,Te${}_2$) and dark matter detection
• Topological nodal lines and hybrid Weyl nodes in YCoC${}_2$
• Geometric effects on the electronic structure of curved nanotubes and curved graphene: the case of the helix, catenary, helicoid, and catenoid
• Identifying, and constructing, complex magnon band topology
• Anisotropic non-split zero-energy vortex bound states in a conventional superconductor
• Topological insulators in the NaCaBi family with large SOC gaps
• On the topological surface states of the intrinsic magnetic topological insulator Mn-Bi-Te family
• Advances in Complex Oxide Quantum Materials Through New Approaches to Molecular Beam Epitaxy
• Topological Crystalline Insulators with $C_2$ Rotation Anomaly
• MSGCorep: A package for corepresentations of magnetic space groups
• Influence of point defects on the electronic and topological properties of monolayer WTe${}_2$
• Large shift current, $\pi$ Zak phase and unconventional nature in Se and Te
• Weyl Phonons: The connection of topology and chirality
• The interplay between structural, magnetic and electronic states in the pyrochlore iridate Eu2Ir2O7
• Structural disorder-driven topological phase transition in noncentrosymmetric BiTeI
• Anisotropic phonon-mediated electronic transport in chiral Weyl semimetals
• Topological crystalline insulator state with type-II Dirac fermions in transition metal dipnictides
• Traversing double-well potential energy surfaces: photoinduced concurrent intralayer and interlayer structural transitions in XTe2 (X=Mo, W)
• Discovering two-dimensional magnetic topological insulators by machine learning
• 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${}_6$
• A Monopole Mining Method for High Throughput Screening Weyl Semimetals
• Experimental review on Majorana zero-modes in hybrid nanowires
• Topological phases in pyrochlore thallium niobate Tl${}_2$Nb${}_2$O${}_{6+x}$
• Variants of the symmetry-based indicator
• Superconducting properties of the non-centrosymmetric Superconductors TaXSi (X= Re, Ru)
• Two-dimensional weak-type topological insulators in inversion symmetric crystals
• From Atomic Semimetal to Topological Nontrivial Insulator
• Direct measurement of a beta function and an indirect check of the Schwinger effect near the boundary in Dirac-Weyl semimetals
• Doping-induced superconductivity in the topological semimetal Mo5Si3
• Magnetic molecular orbitals in MnSi
• Third-order charge transport in a magnetic topological semimetal
• Weyl Semimetals with $S_4$ symmetry
• Topological Quasi-2D Semimetal Co${}_3$Sn${}_2$S${}_2$: Insights To Electronic Structure From NEXAFS and Resonant Photoelectron Spectroscopy
• Topological phases of the dimerized Hofstadter butterfly
• Majorana multipole response: General theory and application to wallpaper groups
• Colossal anomalous Hall and Nernst effect from the breaking of nodal-line symmetry in Cu2CoSn Weyl semimetal: A first-principles study
• Symmetry indicators in commensurate magnetic flux
• Strain engineering a persistent spin helix with infinite spin lifetime
• Single-point spin Chern number in a supercell framework
• Superconducting density of states and bandstructure at the surface of the candidate topological superconductor Au2Pb
• Spin-momentum locking from topological quantum chemistry: applications to multifold fermions
• Origin of Charge Density Wave in Topological Semimetals SrAl4 and EuAl4
• Highly Tunable Band Inversion in AB2X4 (A=Ge, Sn, Pb; B=As, Sb, Bi; X=Se, Te) Compounds
• Altermagnetic Instabilities from Quantum Geometry
• Triple nodal points characterized by their nodal-line structure in all magnetic space groups
• Group Theory on Quasisymmetry and Protected Near Degeneracy
• Superconducting proximity effect in $d$-wave cuprate/ graphene heterostructures
• Twisted nodal wires and three-dimensional quantum spin Hall effect in distorted square-net compounds
• Theoretical study of topological properties of ferromagnetic pyrite CoS${}_2$
• Spanning Fermi arcs in a two-dimensional magnet
• Ferroelectrically tunable topological phase transition in In${}_2$Se${}_3$ thin films
• Magnetic band representations, Fu-Kane-like symmetry indicators and magnetic topological materials
• Topological classification of intrinsic 3D superconductors using anomalous surface construction
• Large anomalous Hall, Nernst effect and topological phases in the 3d-4d/5d based oxide double perovskites
• Interlayer Coupling Induced Topological Phase Transition to Higher Order
• Orbital shift-induced boundary obstructed topological materials with a large energy gap
• Fabry-Pérot resonant vortices and magnetoconductance in topological insulator constrictions with magnetic barriers
• Topological phonon analysis of the 2D buckled honeycomb lattice: an application to real materials
• Effective action approach to the filling anomaly in crystalline topological matter
• Zeros of Green Functions in Topological Insulators
• Topologically distinct atomic insulators
• Duality,Hidden Symmetry and Dynamic Isomerism in 2D Hinge Structures
• Topological insulators and higher-order topological insulators from gauge-invariant 1D lines
• Topological bands in two-dimensional orbital-active bipartite lattices
• High-pressure lithium as an elemental topological semimetal
• Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
• Intertwined Weyl phases emergent from higher-order topology and unconventional Weyl fermions via crystalline symmetry
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• 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
• Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals
• Magnetoresistance and Kondo effect in the nodal-line semimetal VAs${}_2$
• Revealing intrinsic superconductivity of the Nb/BiSbTe${}_2$Se interface
• A robust weak topological insulator in a bismuth halide Bi4Br2I2
• Magnetic hourglass fermions: from exhaustive symmetry conditions to high-throughput materials predictions
• Linear Response in Topological Materials
• Kramers nodal lines in intercalated TaS${}_2$ superconductors
• Tunable spin Hall and spin Nernst effects in Dirac line-node semimetals XCuYAs (X=Zr, Hf; Y=Si, Ge)
• Homotopic classification of band structures: Stable, fragile, delicate, and stable representation-protected topology
• High-throughput screening of Weyl semimetals
• Two-dimensional Weyl nodal-line semimetal and antihelical edge states in a modified Kane-Mele model
• Simulating Floquet topological phases in static systems
• Fragility of ${\mathcal{Z}}_2$ topological invariant characterizing triplet excitations in a bilayer kagome magnet
• Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
• Catalogue of Flat-Band Stoichiometric Materials
• Revisiting (higher order and crystalline) topology in old models of lead telluride
• Tuning Dirac nodes with correlated d-electrons in BaCo_{1-x}Ni_{x}S_{2}
• Topological Phase Transition in Quasi-One-Dimensional Bismuth Iodide Bi4I4
• From local spin nematicity to altermagnets: Footprints of band topology
• $R$RuB${}_2$ ($R$=Y, Lu), topological superconductor candidates with hourglass-type Dirac ring
• Sparse Sampling for Fast Quasiparticle Interference Mapping
• Novel Family of Topological Semimetals with Butterfly-like Nodal Lines
• Filling-enforced Dirac loops and their evolutions under various perturbations
• Topological Antiferromagnetic Semimetal for Spintronics: A Case Study of a Layered Square Net System EuZnSb${}_2$
• $\beta$-As${}_2$Te${}_3$: Pressure-Induced 3D Dirac Semi-Metal
• Magnetic field filtering of the hinge supercurrent in unconventional metal NiTe${}_2$-based Josephson junctions
• Superconducting ground state of nonsymmorphic superconducting compound Zr${}_2$Ir
• Classification of Weyl points and nodal lines based on magnetic point groups for spin-$\frac{1}{2}$ quasiparticles
• Constructions and Applications of Irreducible Representations of Spin-Space Groups
• Quasi-One-Dimensional Higher-Order Topological Insulators
• 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
• Magnetic wallpaper Dirac fermions and topological magnetic Dirac insulators
• Analysis of the unconventional chiral fermions in a non-centrosymmetric chiral crystal $\text{PtAl}$
• Green's Function Approach to Interacting Higher-order Topological Insulators
• Phase transitions in the Haldane-Hubbard model with ionic potentials
• Domain-wall topology induced by spontaneous symmetry breaking in polariton graphene
• Quantum Criticality of Excitonic Insulating Transition in Nodal Line Semimetal ZrSiS
• A density-wave-like transition in the polycrystalline V3Sb2 sample with bilayer kagome lattice
• Magnetic and electrical anisotropy with correlation and orbital effects in dimerized honeycomb ruthenate Li${}_2$RuO${}_3$
• Long-Time Magnetic Relaxation in Antiferromagnetic Topological Material EuCd${}_2$As${}_2$
• Thin films as practical quantum materials: a status quo and beyond
• Pressure Effect on Band Inversion in AECd2As2
• Stability of dynamical topology against dynamical noise in quantum quenches
• Anisotropic positive linear and sub-linear magnetoresistivity in the cubic type-II Dirac metal Pd${}_3$In${}_7$
• BaHgSn: A Dirac semimetal with surface hourglass fermions
• Possible instabilities in quadratic and cubic nodal line fermion systems with correlated interactions
• Predicting topological materials: symmetry-based indicator theories and beyond
• Diagnosis of topological nodal lines with nontrivial monopole charge in the presence of rotation symmetries
• A Recipe for Flat Bands in Pyrochlore Materials: A Chemist's Perspective
• Topological gapless points in superconductors: From the viewpoint of symmetry
• Quantum spin Hall effect in III-V semiconductors at elevated temperatures: advancing topological electronics
• Database Construction for Two-Dimensional Material-Substrate Interfaces
• Topological electronic bands in crystalline solids
• Coexistence of Topological and Normal Insulating Phases in Electro-Optically Tuned InAs/GaSb Bilayer Quantum Wells
• Simulating Higher-Order Topological Insulators in Density Wave Insulators
• Influence of magnetism, strain and pressure on the band topology of EuCd${}_2$As${}_2$
• BerryEasy: A GPU enabled python package for diagnosis of nth-order and spin-resolved topology in the presence of fields and effects
• Topology in abundance
• Direct demonstration of bulk-boundary correspondence in higher-order topological superconductors with chiral symmetry
• Multiple superconducting phases driven by pressure in the topological insulator GeSb4Te7
• Electronic Transport in a Topological Semimetal WTe2 Single Crystal
• Fully-gapped superconductivity and topological aspects of the noncentrosymmetric TaReSi superconductor
• Multi-type Dirac fermions protected by orthogonal glide symmetries in a noncentrosymmetric system
• Altermagnetic Weyl node-network semimetals protected by spin symmetry
• Materials discovery acceleration by using condition generative methodology
• XFe4Ge2 (X = Y, Lu) and Mn3Pt: Filling-enforced magnetic topological metals
• Gapless Criterion for Crystals from Effective Axion Field
• Universal Metallic Surface States in Electride
• Kramers-Weyl fermions in the chiral charge density wave material (TaSe${}_4$)${}_2$I
• Understanding the magnetic response of the Quantum spin liquid compound 1T-TaS2
• A complementary screening for quantum spin Hall insulators in 2D exfoliable materials
• Computing the ${\mathbb{Z}}_2$ Invariant in Two-Dimensional Strongly-Correlated Systems
• All hourglass bosonic excitations in the 1651 magnetic space groups and 528 magnetic layer groups
• Linear Magnetoresistance and Type-I Superconductivity in $\beta$-IrSn${}_4$
• Topological metals constructed by sliding quantum wire arrays
• Fractional corner charges in threefold-symmetric two-dimensional materials with fragile topology
• Moiré semiconductors on twisted bilayer dice lattice
• Chiral Topological Phononic Quasiparticles in Enantiomeric Crystals SrSi${}_2$ and BaSi${}_2$
• Multiple types of unconventional quasiparticles in the chiral crystal CsBe${}_2$F${}_5$
• Encyclopedia of emergent particles in three-dimensional crystals
• SrPd, a candidate material with extremely large magnetoresistance
• Topological bulk states and their currents
• Two-dimensional orbital-obstructed insulators with higher-order band topology
• Magnetotransport due to conductivity fluctuations in non-magnetic ZrTe2 nanoplates
• Experimental detection of topological electronic state and large linear magnetoresistance in $SrS{n}_4$ superconductor
• Strong and Weak Three-Dimensional Topological Insulators Probed by Surface Science Methods
• Topological band inversion in HgTe(001): surface and bulk signatures from photoemission
• Environmental Doping-Induced Degradation of the Quantum Anomalous Hall Insulators
• Nonreciprocal Weyl semimetal waveguide
• Topological insulators on fractal lattices: A general principle of construction
• Emergent Topological Semimetal
• Ideal Spin-Orbit-Free Dirac Semimetal and Diverse Topological Transitions in Pr${}_8$CoGa${}_3$ Family
• Understanding spin textures in PT-broken systems through universal symmetry-constrained rules
• General corner charge formulas in various tetrahedral and cubic space groups
• Topology of SmB6 revisited by means of topological quantum chemistry
• Purely anharmonic charge-density wave in the 2D Dirac semimetal SnP
• Spin Weyl Topological Insulators
• Broken time-reversal symmetry in cubic skutterudite-like superconductor Y${}_3$Ru${}_4$Ge${}_{13}$
• Symmetry-enforced double Weyl points, multiband quantum geometry, and singular flat bands of doping-induced states at the Fermi level
• Quantized thermal and spin transports of dirty planar topological superconductors
• Higher-order topological superconductors characterized by Fermi level crossings
• Correlated Zak insulator in organic antiferromagnets
• Flat Bands Arising from Spin-Orbit Assisted Orbital Frustration
• 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
• Topological Signatures in Nodal Semimetals through Neutron Scattering
• Topological phases of amorphous matter
• Topological Descendants of Multicritical EuTl2
• First-principles Prediction of Potential Candidate Materials MCu${}_3$X${}_4$ (M = V, Nb, Ta; X = S, Se, Te) for Neuromorphic Computing
• Emergent topological states via digital (001) oxide superlattices
• Projective Spacetime Symmetry of Spacetime Crystals
• IrRep: symmetry eigenvalues and irreducible representations of ab initio band structures
• Correlated interaction effects in three-dimensional semi-Dirac semimetal
• Fermi surface studies of a non-trivial topological compound YSi
• Multiband superconductivity in the topological Kramers nodal-line semimetals
• Non-trivial topological valence bands of common diamond and zinc-blende semiconductors
• Fragile topology in nodal-line semimetal superconductors
• Observation of Resonance of Kagome Flat Band Doublet
• Topological States in Chevrel Phase Materials from First-principle Calculations
• Spectroscopic Evidence on Realization of a Genuine Topological Nodal Line Semimetal in LaSbTe
• Design triple points, nexus points and related topological phases by stacking monolayers
• Dynamic melting and condensation of topological dislocation modes
• The destiny of obstructed atomic insulator under correlation
• Catalogue of chiral phonon materials
• Nonlinear bulk photocurrent probe Z2 topological phase transition
• Hybrid symmetry class topological insulators
• Topological nonsymmorphic insulator versus Dirac semimetal in KZnBi
• Phase diagram of the interacting Haldane model with spin-dependent sublattice potentials
• A New Magnetic Topological Quantum Material Candidate by Design
• Theory of fractional corner charges in cylindrical crystal shapes
• Temperature dependence of quantum oscillations from non-parabolic dispersions
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• High-chirality and multiquaternion Weyl nodes in hexagonal ReO${}_3$
• Pressure-driven superconductivity in the topological insulator GeBi4Te7
• Interacting Crystalline Topological Insulators in two-dimensions with Time-Reversal Symmetry
• Fermiology and transport properties of the proposed topological crystalline insulator SrAg4Sb2
• Symmetry-enforced Fermi degeneracy in topological semimetal RhSb${}_3$
• Charge instability of topological Fermi arcs in chiral crystal CoSi
• Topological Aspects of Antiferromagnets
• Topological Spectral Bands with Frieze Groups
• Fermi Surface Topology and Magneto-transport Properties of Superconducting Pd${}_3$Bi${}_2$Se${}_2$
• High-throughput search for topological magnon materials
• Realization of Hopf-link structure in phonon spectra: Symmetry guidance and High-throughput investigation
• Interacting Virtual Topological Phases in Defect-Rich 2D Materials
• Role of effective mass anisotropy in realizing a hybrid nodal-line fermion state
• Structural and magnetic properties of CoTeMoO${}_6$ revisited
• Band structure picture for topology in strongly correlated systems with the ghost Gutzwiller ansatz
• Spacetime symmetry indicators for two-dimensional Floquet topological insulators
• Nodal higher-order topological superconductivity from C6-symmetric Dirac semimetals
• Molecular Beam Epitaxy Growth and Doping Modulation of Topological Semimetal NiTe${}_2$
• Local expression of fractional corner charges in obstructed atomic insulators and relationship with the fractional disclination charges
• 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
• IRSSG: An Open-Source Software Package for Spin Space Groups
• Higher-order topological insulators in two-dimensional antiferromagnetic and altermagnetic chromium-based group-IV chalcogenides
• Thermodynamic and electronic properties of ReN${}_2$ polymorphs at high-pressure
• Fragile topological insulators protected by rotation symmetry without spin-orbit coupling
• Possible gapless helical edge states in hydrogenated graphene
• Eightfold Degenerate Dirac Nodal Line in Collinear Antiferromagnet Mn${}_5$Si${}_3$
• Gapless States Localized along a Staircase Edge in Second-Order Topological Insulators
• Quantum geometry in correlated electron phases: from flat band to dispersive band
• Hidden wallpaper fermion and third-order topological insulator
• Higher-Order Topology in Monolayer FeSe
• Predicting Many Crystal Properties via an Adaptive Transformer-based Framework
• Confinement Effect Driven Quantum Spin Hall Effect in Monolayer AuTe2Cl
• Dichotomy of flat bands in the van der Waals ferromagnet Fe${}_5$GeTe${}_2$
• Topological boundary states in engineered quantum-dot molecules on the InAs(111)A surface
• Fermi-surface diagnosis for topological superconductivity with $s$-wave-like pairing symmetries
• Topological constraints on the electronic band structure of hexagonal lattice in a magnetic field
• Reentrant topological phase in half-Heusler compounds
• Topological property of graphene with triangular array of nanoholes
• Magnetic topological Weyl fermions in half-metallic In${}_2$CoSe${}_4$
• Periodic Behavior of Topology in Graphene with Nanohole Array
• Exploring Spectral Singularities in Dirac Semimetals: The Role of Non-Hermitian Physics and Dichroism
• Topological Dislocation Response in Elementary Semiconductors
• Design Principles for Topological Thermoelectrics
• Accelerated Discovery of Topological Conductors for Nanoscale Interconnects
• Crystal Structure, Magnetic Properties and Bonding Analysis of M3Pt23Ge11 (M=Ca, Sr, Ba and Eu)
• Electronic and topological properties of the van der Waals layered superconductor PtTe
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Design and characterization of all two-dimensional fragile topological bands
• Van Roosbroeck's equations with topological terms: the case of Weyl semimetals
• Revealing Spin and Spatial Symmetry Decoupling: New Insights into Magnetic Systems with Dzyaloshinskii-Moriya Interaction
• Ferroelectrically Controlled Chirality Switching of Weyl Quasiparticles
• Three-dimensional spinless Euler insulators with rotational symmetry
• ToMSGKpoint: A user-friendly package for computing symmetry transformation properties of electronic eigenstates of nonmagnetic and magnetic crystalline materials
• de Haas-van Alphen effect of correlated Dirac states in kagome metal Fe3Sn2
• Majorana vortex phases in time-reversal invariant higher-order topological insulators and topologically trivial insulators
• Wavefunction-Free Approach for Predicting Nonlinear Responses in Weyl Semimetals
• Exploiting $\vartheta -$functions for the identification of topological materials
• Non-unique connection between bulk topological invariants and surface physics
• Predication of topological states in the allotropes of group-IV elements
• Magnetization signature of topological surface states in a non-symmorphic superconductor
• Towards a Topological Quantum Chemistry description of correlated systems: the case of the Hubbard diamond chain
• Robust large-gap topological insulator phase in transition-metal chalcogenide ZrTe${}_4$Se
• Dynamical Symmetry Indicators for Floquet Crystals
• Symmetry-protected topological polarons
• Giant anomalous Hall and Nernst effect in magnetic cubic Heusler compounds
• Analysis of the singular band structure occurring in one-dimensional topological normal and superfluid fermionic systems: A pedagogical description