Line-graph-lattice crystal structures of stoichiometric materials

Abstract

The origin of many quantum-material phenomena is intimately related to the presence of flat electronic bands. In quantum simulation, such bands have been realized through line-graph lattices, a class of lattices known to exhibit flat bands. 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. In particular, we find materials with line-graph-lattice structures beyond the two most commonly known examples, the kagomé and pyrochlore lattices. We also identify materials which may exhibit flat topological bands. Finally, we examine the various line-graph lattices detected and highlight those with gapped flat bands and those most frequently represented among this set of materials. 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.

8+2 pages, 5+1 figures, 2 tables

References in corpus (6)

• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Exotic electronic states in the world of flat bands: from theory to material
• Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two
• Many-Body Flatband Localization
• Non-thermalized Dynamics of Flat-Band Many-Body Localization

Cited by in corpus (6)

• Flat bands, strange metals, and the Kondo effect
• Crystal Net Catalog of Model Flat Band Materials
• Kagome metals
• Line-Graph Approach to Spiral Spin Liquids
• Band structure and optical response of Kekulé-modulated $\alpha -{\mathcal{T}}_3$ model
• Unconventional gapless semiconductor in an extended martini lattice in covalent honeycomb materials