{ "id": "1212.0659", "version": "v2", "published": "2012-12-04T10:04:28.000Z", "updated": "2013-06-14T08:04:50.000Z", "title": "Even-odd effects in NSN scattering problems: Application to graphene nanoribbons", "authors": [ "François Crépin", "Hans Hettmansperger", "Patrik Recher", "Björn Trauzettel" ], "comment": "A study of rough NS interfaces and a few references were added. Corresponds to published version", "journal": "Phys. Rev. B 87, 195440 (2013)", "doi": "10.1103/PhysRevB.87.195440", "categories": [ "cond-mat.mes-hall" ], "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.", "revisions": [ { "version": "v2", "updated": "2013-06-14T08:04:50.000Z" } ], "analyses": { "subjects": [ "72.80.Vp", "73.23.-b", "74.45.+c" ], "keywords": [ "nsn scattering problems", "graphene nanoribbons", "application", "normal metal-superconductor-normal metal junctions", "even-odd effect applies" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2013, "month": "May", "volume": 87, "number": 19, "pages": 195440 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvB..87s5440C" } } }