ArticleNature2017
Topological quantum chemistry.
Article in Nature, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 168 papers.
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Who cites it
168 citing papers in PubMed.
- Experimental observation of critical topology.Nature · 2026Article
- 2D Inorganic Electrides: Interstitial Electrons as Key Drivers of Multifunctional Properties and Applications.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Tunable arbitrarily located quasi-corner states in multiphase weak topological insulator.Nature communications · 2026Article
- Article
- One-dimensional conduction channels in the correlated Mott NiSNature communications · 2026Article
- Formation Energy-Dominated AB-Stacking Structure Promotes Metal-Covalent Organic Frameworks for High-Performance Dual-Ion Storage Potassium-Ion Batteries.Angewandte Chemie (International ed. in English) · 2026Article
- Stable real-space invariants and topology beyond symmetry indicators.Nature communications · 2026Article
- Discovery of flat-band 2D materials via physics-informed scoring and structure-based learning.Science advances · 2026Article
- Interface States in Space-Time Photonic Crystals: Topological Origin, Propagation, and Amplification.ACS photonics · 2026Article
- Fermi-surface diagnosis for topological superconductivity with s-wave-like pairing symmetries.Nature communications · 2026Article
- Design topological materials by reinforcement fine-tuned generative model.Nature communications · 2026Article
- Berry phase of bloch states through modular symmetries.Scientific reports · 2026Article
- Deep-learning-empowered programmable topolectrical circuits.Nature communications · 2026Article
- Emergent Heavy-Fermion Physics in a Family of Topological InsulatorsJournal of the American Chemical Society · 2026Article
- Engineering single topological π-conjugated polymers and interpolating topological solitons by end-group modification.National science review · 2026Article
- Topological non-Abelian gauge structures in Cayley-Schreier lattices.Nature communications · 2026Article
- Graph-Theory Approach to Element Miscibility and Alloy Design.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Photonic non-Abelian topological insulators with six bands.Nature communications · 2026Article
- Topological protection by local support symmetry and destructive interference.Nature communications · 2026Article
- Symmetry-protected topological polarons.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
108 more citing papers are in PubMed but not listed here.
Corrections and comments
- Commented on by
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- Erratum issued
Authors and funding
8 authors.
Funding
Abstract
Since the discovery of topological insulators and semimetals, there has been much research into predicting and experimentally discovering distinct classes of these materials, in which the topology of electronic states leads to robust surface states and electromagnetic responses. This apparent success, however, masks a fundamental shortcoming: topological insulators represent only a few hundred of the 200,000 stoichiometric compounds in material databases. However, it is unclear whether this low number is indicative of the esoteric nature of topological insulators or of a fundamental problem with the current approaches to finding them. Here we propose a complete electronic band theory, which builds on the conventional band theory of electrons, highlighting the link between the topology and local chemical bonding. This theory of topological quantum chemistry provides a description of the universal (across materials), global properties of all possible band structures and (weakly correlated) materials, consisting of a graph-theoretic description of momentum (reciprocal) space and a complementary group-theoretic description in real space. For all 230 crystal symmetry groups, we classify the possible band structures that arise from local atomic orbitals, and show which are topologically non-trivial. Our electronic band theory sheds new light on known topological insulators, and can be used to predict many more.
Identifiers
28726818What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.