Topological electronic materials are new quantum states of matter hosting novel linear responses in the bulk and anomalous gapless states at the boundary, and are for scientific and applied reasons under intensive research in physics and in materials sciences. In 2019, three groups including us ^[1-3] scanned through a total of 39519 materials available in structural databases and found that as many as 8056 of them are actually topological (8889 if spin-orbital coupling is neglected). In order to make the calculated result more valuable, we built a topological material database based on it ^[4]. All the results are available and searchable at http://materiae.iphy.ac.cn/. We also plotted the band structure as well as the local density of states (DOS), shown on the same website.
In this talk, I will firstly make a brief introduction on topological band theory (TBT), especially for the symmetry-based indicator part ^[5-7], then introduce the efficient and fully automated algorithm in diagnosing 39519 non-magnetic materials basing on the TBT. At last, I will show how to use the topological material website by some material examples, such as the twofold unconventional Weyl node with C=4, associating with experimental results ^[8-9]

References
[1] T. Zhang, Y. Jiang, Z. Song, et al., Nature 566, 475-479 (2019)
[2] ‎ M. Vergniory, L. Elcoro, et al., Nature 566, 480–485 (2019)
[3] F. Tang, H. Po, et al., Nature 566, 486–489 (2019)
[4] http://materiae.iphy.ac.cn/
[5] H. Po, A. Vishwanath, H. Watanabe, Nat. Comm. 8, 50 (2017).
[6] Z. Song, T. Zhang, Z. Fang, C. Fang, Nat. Comm. 9, 3530 (2018).
[7] Z. Song, T. Zhang, C. Fang, Physical Review X 8, 031069 (2018)
[8] T. Zhang, R. Takahashi, C. Fang, S. Murakami, PRB 102 (12), 125148 (2020)
[9] H Li, T Zhang, et al., PRB 103 (18), 184301 (2021)

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