Comprehensive Catalogue of Nearest Neighbor Uniform Hopping Flat Band Models

Flat band systems have emerged recently as a topic of intense interest due to their ability to manifest topological correlated phenomena. Through frustration of hopping due to the topological connectedness of a tight binding lattice, flat bands can emerge in a variety of systems, allowing the study of exotic physics in a wide range of regimes. In this talk, I will discuss recent progress on high throughput computational searches for realistic novel flat band lattice models generated from materials databases. A wide variety of physically realizable models are obtained with exciting opportunities for further experimental and theoretical study.