发表机构
Yıldız Technical University; Bilkent University（伊斯坦布尔技术大学; 比尔肯特大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究揭示超导纳米线中安德森局域化将Mattis--Bardeen线性对破坏边替换为二次Mott边，推导了相关理论并为对应实验提供全阶基准。
AI 中文摘要
我们证明，安德森局域化从根本上改变了耗散超导电动力学，将线性的Mattis--Bardeen对破坏阈值替换为参数上更弱的二次Mott边，同时准粒子谱保持不变。我们采用Berezinskii图技术的Nambu空间扩展，对弹性杂质散射进行全阶重求和，推导了具有空间均匀s波对势的弱无序单通道线的该行为。Bogoliubov分支的守恒将Nambu图层级坍缩为可精确求解的局域化问题。局域化长度仍等于其正常态值，而局域化时间在能隙边缘发散。新的吸收边源于超导对产生相干因子与局域轨道间Mott抑制电流矩阵元的乘积，该乘积产生了特征双重对数。局域化还会降低Hebel--Slichter相干峰。所得理论为局域化超导纳米线的微波和自旋弛豫实验提供了全阶基准。
英文摘要
We show that Anderson localization fundamentally reshapes dissipative superconducting electrodynamics, replacing the linear Mattis--Bardeen pair-breaking onset with a parametrically weaker quadratic Mott edge while leaving the quasiparticle spectrum unchanged. We derive this behavior for a weakly disordered single-channel wire with a spatially uniform $s$-wave pair potential using a Nambu-space extension of the Berezinskii diagram technique that resums elastic impurity scattering to all orders. Conservation of the Bogoliubov branch collapses the Nambu diagram hierarchy onto an exactly solvable localization problem. The localization length remains equal to its normal-state value, whereas the localization time diverges at the gap edge. The new absorption edge results from the product of the superconducting pair-creation coherence factor and the Mott-suppressed current matrix elements between localized orbitals, which generates the characteristic double logarithm. Localization also reduces the Hebel--Slichter coherence peak. The resulting theory provides an all-orders benchmark for microwave and spin-relaxation experiments on localized superconducting nanowires.
