Department of Physics, Yale University, New Haven, CT, 06520, USA.
Nat Commun. 2023 Apr 19;14(1):2237. doi: 10.1038/s41467-023-37794-1.
We develop a theory of charge transport along the quantum Hall edge proximitized by a superconductor. We note that generically Andreev reflection of an edge state is suppressed if translation invariance along the edge is preserved. Disorder in a "dirty" superconductor enables the Andreev reflection but makes it random. As a result, the conductance of a proximitized segment is a stochastic quantity with giant sign-alternating fluctuations and zero average. We find the statistical distribution of the conductance and its dependence on electron density, magnetic field, and temperature. Our theory provides an explanation of a recent experiment with a proximitized edge state.
我们提出了一个超导近邻量子霍尔边缘电荷输运的理论。我们注意到，如果边缘的平移不变性得以保持，一般来说，边缘态的安德烈夫反射会被抑制。在“脏”超导体中的无序会使安德烈夫反射成为可能，但也使其变得随机。因此，近邻化片段的电导是一个具有巨大符号交替波动和零平均值的随机量。我们发现了电导的统计分布及其对电子密度、磁场和温度的依赖关系。我们的理论为最近一个关于近邻边缘态的实验提供了一个解释。
