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Diamagnetic response of a normal-metal-superconductor proximity system at arbitrary impurity concentration

机译:在任意杂质浓度下正常金属 - 超导体接近系统的抗磁响应

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摘要

We investigate the magnetic response of normal-metal-superconductor proximity systems for arbitrary concentrations of impurities and at arbitrary temperatures. Using the quasiclassical theory of superconductivity a general linear-response formula is derived which yields a nonlocal current-field relation in terms of the zero-field Green`s functions. Various regime`s between clean-limit and dirty-limit response are investigated by analytical methods and by solving the general formula numerically. In the ballistic regime, a finite mean free path reduces the nonlocality and leads to a stronger screening than in the clean limit even for a mean free path much larger than the system size. Additionally,the range of the kernel describing the nonlocality is strongly temperature dependent in this case. In the diffusive limit we find a crossover from local to nonlocal screening, which restricts the applicability of the dirty-limit theory.
机译:我们研究了正常金属-超导体邻近系统在任意浓度和任意温度下的磁响应。利用超导的准经典理论,推导了一个通用的线性响应公式,该公式根据零场格林函数产生了非局部电流场关系。通过分析方法和数值求解通用公式,研究了清洁极限响应和脏极限响应之间的各种状态。在弹道体制中,即使平均自由程远大于系统规模,有限的平均自由程也会减少非局部性,并导致比净空范围内的屏蔽效果更强。此外,在这种情况下,描述非局部性的核的范围强烈依赖于温度。在扩散极限中,我们发现了从局部筛选到非局部筛选的交叉,这限制了脏极限理论的适用性。

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