Selective focusing of electrons and holes in a graphene-based superconducting lens

Abstract

We show that a graphene pnp junction with a central superconducting electrode acts as a Veselago lens for incoming electrons by focusing them and their phase-conjugated counterpart (holes) into different points of the optical axis. This selective focusing suggested by a simple trajectory analysis is confirmed by fully microscopic calculations. Although the focusing pattern is degraded by deviations from the ideal conditions we show that it remains visible for a wide range of parameters. We discuss how this property can be useful for the detection of entangled electron pairs.

arXiv comment7 pages, 4 figures

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Cited by in corpus (11)

• Proximity coupling in superconductor-graphene heterostructures
• Electrical control of crossed Andreev reflection and spin-valley switch in antiferromagnet/superconductor junctions
• Intraband electron focusing in bilayer graphene
• Enhancement of crossed Andreev reflection in a superconducting ladder connected to normal metal leads
• Subgap states in two dimensional spectroscopy of unconventional superconductors using graphene
• Even-odd effects in NSN scattering problems: Application to graphene nanoribbons
• Dirac point formation revealed by Andreev tunneling in superlattice-graphene/superconductor junctions
• Point contacts in encapsulated graphene
• Superconducting electron and hole lenses
• Valley detection using a graphene gradual pn junction with spin-orbit coupling: an analytical conductance calculation
• Long-range Cooper pair splitting by chiral Majorana edge states