Line-graph-lattice crystal structures of stoichiometric materials

Many quantum-material phenomena may be intimately related to the presence of flat electronic bands. In quantum simulation, such bands have been realized through line-graph lattices. Based on that work, we conduct a high-throughput screening for line-graph lattices among the crystalline structures of the Materials Flatband Database and report on new candidates for line-graph materials and lattice models [1]. We find materials with line-graph-lattice structures beyond the well-known kagome and pyrochlore lattices. We identify the most frequently represented line-graph lattices and those with gapped flat bands. With the identification of real stoichiometric materials and theoretical lattice geometries, the results of this work may inform future studies of flat-band many-body physics in both condensed matter experiment and theory.

[1] C.S. Chiu, A.N. Carroll, N. Regnault, and A.A. Houck. arXiv: 2109.13940 (2021).