Line-graph-lattice crystal structures of stoichiometric materials

The origin of many quantum-material phenomena is intimately related to the presence flat electronic bands. In quantum simulation, such bands have been realized through line-graph lattices, a class lattices known exhibit Based on that work, we conduct high-throughput screening for among crystalline structures Materials Flatband Database and report new candidates materials lattice models. particular, find with line-graph-lattice beyond two most commonly examples, kagome pyrochlore lattices. We also identify may topological Finally, examine various detected highlight those gapped frequently represented this set materials. With identification real stoichiometric theoretical geometries, results work inform future studies flat-band many-body physics in both condensed matter experiment theory.