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.

中文翻译：

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相关无序对笼目晶格中超导性的影响：Bogoliubov-de Gennes 分析


本文研究了二维 s 波超导体在受相关无序作用的 kagome 晶格上的超导特性。使用 Bogoliubov-de Gennes 理论，我们分析了无序相关性对超导行为的影响。此外，我们推导出了笼目晶格的刚度公式并计算了其超流体刚度。我们论文的一个有趣的发现是，对于无序电位的中间值，在较高的无序相关强度下，超导配对振幅的概率分布中的双峰特性。我们的结果为无序相关性如何影响超导性提供了有价值的见解，并强调了晶格几何形状在塑造超导特性中的作用。