{ "id": "1209.2580", "version": "v2", "published": "2012-09-12T11:59:05.000Z", "updated": "2013-03-27T01:23:33.000Z", "title": "Hexagonally Warped Dirac Cones and Topological Phase Transition in Silicene Superstructure", "authors": [ "Motohiko Ezawa" ], "comment": "7 pages, 10 figures (to be published in Eur.Phys.J.B)", "journal": "Eur. Phys. J. B 86, 139 (2013)", "doi": "10.1140/epjb/e2013-31029-1", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci" ], "abstract": "Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice. We investigate the topological properties of a silicene superstructure generated by an external periodic potential. The superstructure is a quantum spin-Hall (QSH) insulator if it is topologically connected to silicene. It is remarkable that two inequivalent K and K' points in the silicene Brillouin zone are identified in certain superstructures. In such a case two Dirac cones coexist at the same Dirac point in the momentum space and they are hexagonally warped by the Coulomb interaction. We carry out a numerical analysis by taking an instance of the ($3\\times 3$) superstructure on the ($4\\times 4$) structure of the Ag substrate. We show that it is a QSH insulator, that there exists no topological phase transition by external electric field, and that the hexagonally warping occurs in the band structure.", "revisions": [ { "version": "v2", "updated": "2013-03-27T01:23:33.000Z" } ], "analyses": { "keywords": [ "topological phase transition", "hexagonally warped dirac cones", "silicene superstructure", "external electric field", "two-dimensional honeycomb lattice" ], "tags": [ "journal article" ], "publication": { "journal": "European Physical Journal B", "year": 2013, "month": "Apr", "volume": 86, "number": 4, "pages": 139 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013EPJB...86..139E" } } }