High-Throughput Search for Flat-Band-Enhanced Kondo Systems 

Correlated f-electron materials host rich quantum phenomena driven by strong interactions and hybridization between localized and itinerant electrons. However, the low energy scales of these states limit experimental accessibility. Recent interest in topological flat bands known for fostering high-temperature superconductivity, unconventional magnetism, and nontrivial topology present a pathway to overcome this challenge. By bootstrapping the large density of states associated with the flat bands near the Fermi level, the Kondo temperature can be amplified. Here, we perform high-throughput density functional theory calculations within the 166 kagome class (LnM₆X₆, Ln = lanthanide, M = transition metal, X = Si, Ge, Sn, Pb) to explore the interplay of topological flat bands and f-electron localized flat bands. We investigate key parameters that influence the Kondo temperature and develop design principles for flat-band-enhanced Kondo systems. Our work provides an avenue towards realizing quantum materials with accessible coherence states.