Comparative Analysis of Correlated Disorder Effects on Superconductivity in Kagome and Other Lattice Geometries: A Bogoliubov de Gennes Approach

We investigate the superconducting properties of a two-dimensional s-wave superconductor on a kagome lattice subjected to correlated disorder, using the Bogoliubov-de Gennes (BdG) framework. Our analysis focuses on how disorder correlations impact superconducting behavior on the kagome lattice, with an analytical derivation of its superfluid stiffness formula. A notable result is the appearance of a bimodal distribution in the superconducting pairing amplitude at higher disorder correlation strengths and intermediate disorder levels. To provide a broader context, we compare these findings with previous studies on square lattice, illustrating how lattice geometry influences the robustness of superconducting order. This study reveals the vital role of both lattice structure and disorder correlation in shaping superconducting properties, offering fresh insights into the interplay of geometry and disorder in s-wave superconductors.