Even-odd effects in NSN scattering problems: Application to graphene nanoribbons
arXiv:1212.0659 · doi:10.1103/PhysRevB.87.195440
Abstract
We study crossed Andreev reflection (CAR) of electrons or holes in normal metal-superconductor-normal metal junctions and highlight some very strong effects of the underlying lattice. In particular, we demonstrate that for sharp interfaces and under certain, albeit generic, symmetry conditions, the CAR probability exactly vanishes for an even number of atoms in the superconducting region. This even-odd effect applies notably to NSN junctions made of graphene nano-ribbons with armchair edges and for zigzag edges with somewhat more restrictive conditions. We analyze its robustness towards smoothing of the boundaries or doping of the sample.
A study of rough NS interfaces and a few references were added. Corresponds to published version
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Cited by in corpus (6)
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- Nonlocal superconducting correlations in graphene in the quantum Hall regime
- Enhancement of crossed Andreev reflection in a superconducting ladder connected to normal metal leads
- Perfect crossed Andreev reflection in the proximitized graphene/superconductor/proximitized graphene junctions
- Enhancement of crossed Andreev reflection in a Kitaev ladder connected to normal metal leads
- Tunable crossed Andreev reflection in a heterostructure consisting of ferromagnets, normal metal and superconductors