Geometrical effects on the downstream conductance in quantum-Hall-superconductor hybrid systems

We consider a quantum Hall (QH) region in contact with a superconductor (SC), i.e., a QH-SC junction. Due to successive Andreev reflections, the QH-SC interface hosts hybridized electron and hole edge states called chiral Andreev edge states (CAES). We theoretically study the transport properties of these CAES by using a microscopic, tight-binding model. We find that the transport properties strongly depend on the contact geometry and the value of the filling factor. We notice that it is necessary to add local barriers at the corners of the junction in order to reproduce such properties when using effective one-dimensional models.

Automated summary

In this study, we investigate the transport properties of chiral Andreev edge states (CAES) in a quantum Hall-superconductor junction. We find that these properties strongly depend on the contact geometry and filling factor, and local barriers need to be added at the corners of the junction to reproduce such properties when using one-dimensional effective models.