In this talk, I will introduce the two theoretical papers and one numerical  paper that lead to the establishing of the "Catalogue of Topological Electronic  Materials". In the theoretical work, my collaborators and I exploited the theory  of symmetry-based indicators (or topological quantum chemistry) and that of  real-space construction of topological crystalline states, and found the  exhaustive mappings from the symmetry eigenvalues of valence bands to their  topological invariants. In the numerical work, these mappings are applied to  designing a fully automated, fast diagnosis method for topological materials.  The method is then used to find as many as 8000 topological materials among over  40000 materials that are registered in popular materials databases. A  topological materials database is made based on these results.

References:

【1】Z. Song, T. Zhang, Z. Fang and C. Fang, Nature  Communications 9, 3530 (2018).

【2】Z. Song, T. Zhang and C. Fang, Phys. Rev. X 8,  031069 (2018).

【3】T. Zhang, Y. Jiang, Z. Song, H. Huang, Y. He, Z.  Fang, H. Weng and C. Fang, arXiv:1807.08756 (to appear in  Nature).