Electronic correlations and universal long-range scaling in kagome metals

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We investigate the real-space profile of effective Coulomb interactions in correlated kagome materials.By particularizing to KV 3 Sb 5 , Co 3 Sn 2 S 2 , FeSn, and Ni 3 In, 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.