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Geometrical effects on the downstream conductance in quantum-Hall--superconductor hybrid systems
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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.
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Quantum Hall Andreev Conversion in Graphene Nanostructures
Chiral Andreev conversion at partially transparent graphene-superconductor interfaces is robust, not valley-degenerate, and can show interference oscillations from intervalley scattering at corners.
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