Yi Jiang, Urko Petralanda, Hanqi Pi, Grigorii Skorupskii, Qiaoling Xu, Dumitru Călugăru, Haoyu Hu, Jiaze Xie, Rose Albu Mustaf, Peter Höhn, Vicky Haase, Abdelmajid Ouahchi, Soumyajit Samal, Jiacheng Zhu, Dongyang Yang, Zuhan Geng, Garen Avedissian, Yongsong Wang, Maia G Vergniory, Martin Claassen, Luis Elcoro, Nicolas Regnault, Miguel M Ugeda, Jie Shan, Kin Fai Mak, Dmitri K Efetov, Emilia Morosan, Dante M Kennes, Angel Rubio, Lede Xian, Claudia Felser, Leslie M Schoop, B Andrei Bernevig
The study of twisted two-dimensional (2D) materials, in which twisting layers create moiré superlattices, has created opportunities for investigating topological phases and strongly correlated physics. The broader potential of a seemingly infinite set of twistable 2D materials remains largely unexplored. Here, we define "theoretically twistable materials" as single- or multilayer structures that allow for the construction of simple continuum models of their moiré structures. Our high-throughput algorithm systematically searches for theoretically twistable semimetals and insulators based on the Topological 2D Materials Database(2D-TQCDB). By analyzing key electronic properties, we identify thousands of candidate materials, propose representative twistable materials, and provide examples of crystal growth and exfoliation for several of them. Our results provide a resource for future experimental and theoretical studies of moiré systems.