论文标题
由薄膜产生的接近性诱导的超导性：费米表面不匹配和超导体中的障碍的影响
Proximity-induced superconductivity generated by thin films: Effects of Fermi surface mismatch and disorder in the superconductor
论文作者
论文摘要
我们研究了表征超导薄膜对薄膜（例如，半导体）产生的接近性诱导的超导性的疾病的影响，基于三维显微镜模型的精确数值分析。为了使该问题在数值上可以处理，我们将递归绿色的功能方法与贴布方法结合使用，该方法在存在障碍的情况下利用了界面绿色功能的短距离性质。由于超导体（SC）与半导体（SM）之间的FERMI表面不匹配，并结合限制诱导的横向SC模式的量化，因此，干净的SC膜引起的近距离效应通常是较小的一到三个数量级，因此较小的数量量较小，相应的数量是构成巨大厚度的相应数量。疾病的存在具有竞争作用：一方面，它增强了接近性诱导的超导性并抑制其强厚度依赖性，另一方面，它在SM中产生了接近性诱导的有效障碍。近端诱导的障碍对拓扑超导阶段和相关的主要模式的影响进行了非扰动。
We investigate the effects of disorder characterising a superconducting thin film on the proximity-induced superconductivity generated by the film (in, e.g., a semiconductor) based on the exact numerical analysis of a three-dimensional microscopic model. To make the problem numerically tractable, we use a recursive Green's function method in combination with a patching approach that exploits the short-range nature of the interface Green's function in the presence of disorder. As a result of the Fermi surface mismatch between the superconductor (SC) and the semiconductor (SM) in combination with the confinement-induced quantization of the transverse SC modes, the proximity effect induced by a clean SC film is typically one to three orders of magnitude smaller that the corresponding quantity for a bulk SC and exhibits huge thickness-dependent variations. The presence of disorder has competing effects: on the one hand it enhances the proximity-induced superconductivity and suppresses its strong thickness dependence, on the other hand it generates proximity-induced effective disorder in the SM. The effect of proximity-induced disorder on the topological superconducting phase and the associated Majorana modes is studied nonperturbatively.
