Electronic correlations and universal long-range scaling in kagome metals

TL;DR

This study explores the effective Coulomb interactions in kagome metals, revealing a universal long-range scaling behavior after appropriate rescaling, which enhances understanding of their correlation-driven phenomena.

Contribution

It demonstrates that, despite diverse properties, kagome metals share a universal long-range Coulomb interaction profile when scaled by their on-site interaction strength.

Findings

On-site interaction strength depends on high-energy screening and low-energy hybridization.

Kagome metals exhibit a universal long-range Coulomb behavior after rescaling.

Different kagome materials show similar effective Coulomb interaction profiles.

Abstract

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 prevoskite 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 hybriziation profile of the electronic density of states. Our results indicate that rescaled by the onsite interaction amplitude, all kagome metals exhibit a universal long-range Coulomb behaviour.