{ "id": "1307.1442", "version": "v1", "published": "2013-07-04T18:18:03.000Z", "updated": "2013-07-04T18:18:03.000Z", "title": "Topological Superconductivity and Majorana Fermions in RKKY Systems", "authors": [ "Jelena Klinovaja", "Peter Stano", "Ali Yazdani", "Daniel Loss" ], "journal": "Phys. Rev. Lett. 111, 186805 (2013)", "doi": "10.1103/PhysRevLett.111.186805", "categories": [ "cond-mat.mes-hall" ], "abstract": "We consider quasi one-dimensional RKKY systems in proximity to an s-wave superconductor. We show that a $2k_F$-peak in the spin susceptibility of the superconductor in the one-dimensional limit supports helical order of localized magnetic moments via RKKY interaction, where $k_F$ is the Fermi wavevector. The magnetic helix is equivalent to a uniform magnetic field and very strong spin-orbit interaction (SOI) with an effective SOI length $1/2k_F$. We find the conditions to establish such a magnetic state in atomic chains and semiconducting nanowires with magnetic atoms or nuclear spins. Generically, these systems are in a topological phase with Majorana fermions. The inherent self-tuning of the helix to $2k_F$ eliminates the need to tune the chemical potential.", "revisions": [ { "version": "v1", "updated": "2013-07-04T18:18:03.000Z" } ], "analyses": { "subjects": [ "71.10.Pm", "74.20.-z", "75.70.Tj", "75.75.-c" ], "keywords": [ "majorana fermions", "topological superconductivity", "quasi one-dimensional rkky systems", "one-dimensional limit supports helical order", "strong spin-orbit interaction" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2013, "month": "Nov", "volume": 111, "number": 18, "pages": 186805 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvL.111r6805K" } } }