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

Abstract

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.

9 pages, 14 figures, published version

References in corpus (5)

• Non-Abelian Anyons and Topological Quantum Computation
• Spin-triplet supercurrent carried by quantum Hall edge states through a Josephson junction
• Andreev reflection and cyclotron motion at superconductor -- normal-metal interfaces
• Conductance oscillations with magnetic field of a two-dimensional electron gas-superconductor junction
• Andreev transport in two-dimensional normal-superconducting systems in strong magnetic fields

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