Oral: 2D Theoretically Twistable Material Database

The study of twisted heterostructures, where twisting two-dimensional (2D) materials form moire superlattices, has created new opportunities for investigating topological phases and strongly correlated physics. While systems such as twisted bilayer graphene (TBG) and twisted transition metal dichalcogenides (TMDs) have been extensively studied, the broader potential of a seemingly infinite set of other twistable 2D materials remains largely unexplored. In this paper, we define "theoretically twistable materials'' as single- or multi-layer structures that allow for the construction of simple continuum models of their moire structures. This excludes, for example, materials with a "spaghetti'' of bands or those with numerous crossing points at the Fermi level, for which theoretical moire modeling is unfeasible. We present a high-throughput algorithm that systematically searches for theoretically twistable semimetals and insulators based on the Topological 2D Materials Database. By analyzing key electronic properties, we identify thousands of new candidate materials that could host rich topological and strongly correlated phenomena when twisted. We propose representative twistable materials for realizing different types of moire systems, including materials with different Bravais lattices, valleys, and strength of spin-orbital coupling. We exemplify sample growth of many of these crystals, and show examples of simple twisted models. Our results significantly broaden the scope of moire heterostructures and provide a valuable resource for future experimental and theoretical studies on novel moire systems.