Topological quantum chemistry

Using a recently developed formalism, titled topological quantum chemistry (TQC) and magnetic TQC, we carry out a high-throughput search of topological materials in well known databases, such as Inorganic Crystal Structure Database. We identified as many as 20000 materials that display topological features and another ~100 new topological magnetic materials. Herein, we review this discovery and provide insights for future material search directions.