In this paper, we report the results of our theoretical investigation on the interplay of superconductivity and disorder in two-dimensional (2D) systems. The effect of disorder on superconductivity of 2D systems was found analytically using Green’s function formalism. The results of our calculation revealed that disorder induced due to randomly distributed superconducting islands enhances decoherence of Cooper pairs and suppresses superconductivity. We have also determined the critical value of disorder at which the 2D system completely loses its superconducting properties. Below this critical value of disorder, the system acts as a superconductor, a system with zero electrical resistance. Above the critical value, it acts as an insulator, a system with infinite electric resistance. This is a fascinating result because a direct transition from the state of the infinite conductivity to the opposite extreme of infinite resistivity is unexpected in the theory of condensed matter physics.

中文翻译：

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无序引起的超导体-绝缘体转变

在本文中，我们报告了我们对二维 (2D) 系统中超导性和无序相互作用的理论研究结果。使用格林函数形式主义分析发现了无序对二维系统超导性的影响。我们的计算结果表明，由随机分布的超导岛引起的无序增强了库珀对的退相干性并抑制了超导性。我们还确定了二维系统完全失去其超导特性的无序临界值。低于这个无序临界值时，系统就像一个超导体，一个电阻为零的系统。在临界值之上，它充当绝缘体，一个具有无限电阻的系统。