Two-dimensional topological materials can host edge states protected by symmetry, making those states resistant to some kinds of disorder. They are less common in existing catalogs than three-dimensional examples, so the researchers adapted a classification method for two-dimensional crystal layers and applied it to computational materials databases.

The study identified 905 topological insulators and 1,003 obstructed atomic insulators, alongside other topological or obstructed entries. The team compiled calculated electronic and topological properties in the Topological 2D Materials Database and examined edge states in selected newly identified materials.