Nature of unconventional pairing and competing Fermi surface instabilities in Kagome metals

Multi-pocket Fermiologies are nearly inevitable for a large range of unconventional superconductors with multi-orbital and multi-sublattice structure. The Kagome three-sublattice structure of corner sharing triangles, even in a most simplistic single orbital abstraction, already gives rise to an intricate composition of Fermi level eigenstates. As a consequence, the distinct van Hove points of a Kagome band structure experience radically different sublattice occupation. Invoking that the dominant fluctuations are determined by the coupling between the van Hove points, a local Hubbard interaction term is unable to couple them due to mismatched sublattice weight, an effect we call sublattice interference. In this talk, we will show how the suppression of this usually most dominant interaction scale allows subleading effects like nearest-neighbour interactions to dictate the pairing tendencies of the system and analyse the resulting exotic states of matter.