Electronic correlations and universal long-range scaling in kagome metals

We investigate the real-space profile of effective Coulomb interactions in correlated kagome materials. By particularizing to KV3Sb5, Co3Sn2S2, FeSn, and Ni3In, we analyze representative cases that exhibit a large span of correlation-mediated phenomena, and contrast them to prototypical perovskite transition metal oxides. From our constrained random phase approximation studies we find that the on-site interaction strength in kagome metals not only depends on the screening processes at high energy, but also on the low-energy hybridization profile of the electronic density of states. Our results indicate that rescaled by the on-site interaction amplitude, all kagome metals exhibit a universal long-range Coulomb behavior.