# Topological quantum chemistry

@article{Bradlyn2017TopologicalQC, title={Topological quantum chemistry}, author={Barry Bradlyn and Luis Elcoro and Jennifer Cano and Maia G. Vergniory and Zhijun Wang and Claudia Felser and Mois I Aroyo and Bogdan Andrei Bernevig}, journal={Nature}, year={2017}, volume={547}, pages={298-305} }

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…

## 900 Citations

### Towards a topological quantum chemistry description of correlated systems: The case of the Hubbard diamond chain

- PhysicsPhysical Review B
- 2021

: The recently introduced topological quantum chemistry (TQC) framework has provided a description of universal topological properties of all possible band insulators in all space groups based on…

### Topological Quantum Materials from the Viewpoint of Chemistry

- Materials ScienceChemical reviews
- 2020

This review presents the topological concepts related to solids from the viewpoint of a solid-state chemist, summarizes techniques for growing single crystals, and describes basic physical property measurement techniques to characterize topological materials beyond their structure and provide examples of such materials.

### Efficient topological materials discovery using symmetry indicators

- Materials Science, PhysicsNature Physics
- 2019

Although the richness of spatial symmetries has led to a rapidly expanding inventory of possible topological crystalline (TC) phases of electrons, physical realizations have been slow to materialize…

### A chemical theory of topological insulators.

- Physics, ChemistryChemical communications
- 2019

Research on topological insulators (TIs) has experienced an exponential growth in the last few years, promising new technological applications in fields ranging from electronics to quantum computing.…

### Topological materials discovery from crystal symmetry

- Materials ScienceNature Reviews Materials
- 2021

Topological materials discovery has evolved at a rapid pace over the past 15 years following the identification of the first nonmagnetic topological insulators (TIs), topological crystalline…

### All topological bands of all nonmagnetic stoichiometric materials

- Materials Science, PhysicsScience
- 2022

Topological quantum chemistry and symmetry-based indicators have facilitated large-scale searches for materials with topological properties at the Fermi energy (EF). We report the implementation of a…

### The topology of electronic band structures

- Materials ScienceNature Materials
- 2020

This Perspective provides a broad introduction to topological phases, their known properties, and material realizations, with a particular focus on semimetals, and highlights areas where the field can continue to make remarkable discoveries.

### Chemical Principles of Topological Semimetals

- Materials Science
- 2018

Initiated by the discovery of topological insulators, topologically non-trivial materials have attracted immense interest in the physics community in the past decade. One of the latest additions to…

### Band structure engineering in 3D topological insulators

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2019

This review presents theoretical concepts and a selection of experimental results from the point view of a spectroscopist, and might be useful for physicists who want to get familiar with the key concepts in a self-contained form with formalism reduced to readily understandable concepts.

### Topological semimetal driven by strong correlations and crystalline symmetry

- PhysicsNature Physics
- 2022

Electron correlations amplify quantum fluctuations and, as such, are recognized as the origin of many quantum phases. However, whether strong correlations can lead to gapless topological states is an…

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