Effect of correlated disorder on superconductivity in a kagome lattice: A Bogoliubov–de Gennes analysis

This paper investigates the superconducting properties of a two-dimensional $s$-wave superconductor on a kagome lattice subjected to correlated disorder. Using the Bogoliubov--de Gennes theory, we analyze the impact of disorder correlations on superconducting behavior. Additionally, we derive the stiffness formula for the kagome lattice and calculate its superfluid stiffness. An intriguing finding of our paper is the bimodal characteristic in the probability distribution of the superconducting pairing amplitude at higher disorder correlation strengths for intermediate values of the disordered potential. Our results provide valuable insights into how disorder correlations influence superconductivity and underscore the role of lattice geometry in shaping superconducting properties.