Cascade of phase transitions in kagome materials from the perspective of electronically mediated instabilities

The synthesis of itinerant Kagome materials, i.e. compounds with a metallic parent state, has initiated extensive research interests. Experimental observations indicate a fascinating phenomenology of correlated electron physics on the kagome lattice. Despite substantial progress, the underlying mechanisms of the various phase transitions remains enigmatic. In this talk, we provide a theoretical understanding from the perspective of electronically mediated phases of matter. We focus on a novel state of matter reminiscent of a pair density wave, i.e. a spatially modulated superconducting pairing state emerging without additional translation symmetry breaking.