Searching for Electronic Flat Bands Beyond the Kagome Framework*

The propensity for flat electronic bands to support topological and correlated behaviors has attracted considerable interest in recent years. It has now been well established that the frustrated hopping present in a kagome lattice manifests two-dimensional topologically non-trivial flat bands. Here, we further consider the role of orbital and lattice motif degrees of freedom to realize different flat band dimensionality in bulk crystalline systems. Building on our previous computational lattice material search results, we discuss recent progress on this development of bulk flat band systems beyond the kagome network, highlighting the role of the orbitally enabled band flattening.