How to Distinguish between Specular and Retroconfigurations for Andreev Reflection in Graphene Rings

Abstract

We numerically investigate Andreev reflection in a graphene ring with one normal conducting and one superconducting lead by solving the Bogoliubov--de Gennes equation within the Landauer-Büttiker formalism. By tuning chemical potential and bias voltage, it is possible to switch between regimes where electron and hole originate from the same band (retroconfiguration) or from different bands (specular configuration) of the graphene dispersion, respectively. We find that the dominant contributions to the Aharonov-Bohm conductance oscillations in the subgap transport are of period $h/2e$ in retroconfiguration and of period $h/e$ in specular configuration, confirming the predictions obtained from a qualitative analysis of interfering scattering paths. Because of the robustness against disorder and moderate changes to the system, this provides a clear signature to distinguish both types of Andreev reflection processes in graphene.

5 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1201.6200

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• Spin-polarized Specular Andreev Reflections in Altermagnets
• Aharonov-Bohm effect and giant magnetoresistance in graphene nanoribbon rings
• Even-odd effects in NSN scattering problems: Application to graphene nanoribbons
• Electronic and transport properties of anisotropic semiconductor quantum wires
• Magnetic field oscillations of the critical current in long ballistic graphene Josephson junctions
• Andreev reflection of massive pseudospin-1 fermions
• Specular Andreev reflection and its detection
• Spin-valley dependent double Andreev reflections in the proximitized graphene/superconductor junction
• Dirac electrons in quantum rings
• Andreev reflection in a Y-shaped graphene-superconductor device
• Fraunhofer pattern in the presence of Majorana zero modes
• Resonant tunneling through double-barrier structures on graphene
• Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm potential
• Supercurrent reversal in Josephson junctions based on bilayer graphene flakes
• Andreev-Bragg reflection from an Amperian superconductor
• Anisotropic angle-dependent Andreev reflection at the ferromagnet/superconductor junction on the surface of topological insulators
• Interplay between Aharonov-Bohm interference and parity selective tunneling in zigzag graphene nanoribbon rings