{ "id": "1605.07179", "version": "v1", "published": "2016-05-23T20:00:02.000Z", "updated": "2016-05-23T20:00:02.000Z", "title": "No-go theorem for a time-reversal invariant topological phase in noninteracting systems coupled to conventional superconductors", "authors": [ "Arbel Haim", "Erez Berg", "Karsten Flensberg", "Yuval Oreg" ], "comment": "5 pages, 2 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.supr-con" ], "abstract": "We prove that a system of non-interacting electrons proximity coupled to a conventional $s$-wave superconductor cannot realize a time reversal invariant topological phase. This is done by showing that for such a system, in either one or two dimensions, the topological invariant of the corresponding symmetry class (DIII) is always trivial. Our results suggest that the pursuit of Majorana bound states in time-reversal invariant systems should be aimed at interacting systems or at proximity to unconventional superconductors.", "revisions": [ { "version": "v1", "updated": "2016-05-23T20:00:02.000Z" } ], "analyses": { "keywords": [ "time-reversal invariant topological phase", "no-go theorem", "conventional superconductors", "noninteracting systems", "time reversal invariant topological phase" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }