Effects of longer-range Coulomb interactions on the superconducting state of the Kagome system AV₃Sb₅

With the recent discovery of superconductivity in the Kagome material AV₃Sb₅, the nature of the superconducting gap symmetry has been under debate. In this work, we investigate spin- and charge-fluctuation mediated superconducting pairing phenomena in AV₃Sb₅, taking into account both local and longer-range Coulomb interactions at different fillings. In the presence of longer-range Coulomb interaction, charge fluctuations are enhanced which substantially modifies the pairing symmetries and hence, the leading order instabilities. Our results shed light on the role of longer-range Coulomb repulsion in deciding the nature of superconductivity in the Kagome system, which is already known to display a variety of phenomena arising out of sublattice interference due to its underlying lattice structure. We analyze the properties of these states and compare them with available experimental data.