{ "id": "1505.07588", "version": "v1", "published": "2015-05-28T08:25:23.000Z", "updated": "2015-05-28T08:25:23.000Z", "title": "Classification of Majorana Fermions in Two-Dimensional Topological Superconductors", "authors": [ "Qiu-Bo Cheng", "Jing He", "Su-Peng Kou" ], "categories": [ "cond-mat.mes-hall", "cond-mat.supr-con" ], "abstract": "Recently, Majorana Fermions (MFs) have attracted intensive attention due to their exotic statistics and possible applications in topological quantum computation (TQC). They are proposed to exist in various two-dimensional (2D) topological systems, such as px+ipy topological superconductor and nanowire-superconducting hybridization system. In this paper, two types of Majorana Fermions with different polygon sign rules are pointed out. A \"smoking gun\" numerical evidence to identify MF's classification is presented through looking for the signature of a first order topological quantum phase transition. By using it, several 2D topological superconductors are studied.", "revisions": [ { "version": "v1", "updated": "2015-05-28T08:25:23.000Z" } ], "analyses": { "keywords": [ "majorana fermions", "two-dimensional topological superconductors", "classification", "order topological quantum phase transition", "first order topological quantum phase" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150507588C", "inspire": 1373572 } } }