Geometrical effects on the downstream conductance in quantum-Hall–superconductor hybrid systems
A. David, Julia S. Meyer, Manuel Houzet
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.
Topics & Concepts
Andreev reflectionCondensed matter physicsSuperconductivityConductancePhysicsQuantum Hall effectEnhanced Data Rates for GSM EvolutionFilling factorElectronQuantumOrder (exchange)Quantum mechanicsTelecommunicationsFinanceEconomicsComputer scienceQuantum and electron transport phenomenaTopological Materials and PhenomenaPhysics of Superconductivity and Magnetism