Even-odd effects in NSN scattering problems: Application to graphene nanoribbons
Mesoscale and Nanoscale Physics
2013-06-17 v2
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.
Keywords
Cite
@article{arxiv.1212.0659,
title = {Even-odd effects in NSN scattering problems: Application to graphene nanoribbons},
author = {François Crépin and Hans Hettmansperger and Patrik Recher and Björn Trauzettel},
journal= {arXiv preprint arXiv:1212.0659},
year = {2013}
}
Comments
A study of rough NS interfaces and a few references were added. Corresponds to published version