{ "id": "1203.0705", "version": "v2", "published": "2012-03-04T04:32:27.000Z", "updated": "2012-06-19T05:52:40.000Z", "title": "Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene", "authors": [ "Motohiko Ezawa" ], "comment": "4 pages, 4 figures, to be published in Phys. Rev. Lett", "journal": "Phys. Rev. Lett. 109, 055502 (2012)", "doi": "10.1103/PhysRevLett.109.055502", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci" ], "abstract": "Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice, which shares almost every remarkable property with graphene. The low energy structure of silicene is described by Dirac electrons with relatively large spin-orbit interactions due to its buckled structure. The key observation is that the band structure is controllable by applying the electric field to a silicene sheet. We explore the phase diagram of silicene together with exchange field $M$ and by applying electric field $E_{z}$. There appear quantum anomalous Hall (QAH) insulator, valley polarized metal (VPM), marginal valley polarized metal (M-VPM), quantum spin Hall (QSH) insulator and band insulator (BI). They are characterized by the Chern numbers and/or by the edge modes of a nanoribbon. It is intriguing that electrons have been moved from a conduction band at the K point to a valence band at the K' point for $E_{z}>0$ in the VPM. We find in the QAH phase that flat gapless edge modes emerge and that spins form a momentum-space skyrmion to yield the Chern number. It is remarkable that a topological quantum phase transition can be induced simply by changing electric field in a single silicene sheet.", "revisions": [ { "version": "v2", "updated": "2012-06-19T05:52:40.000Z" } ], "analyses": { "subjects": [ "81.05.ue", "72.25.Dc", "72.80.Vp", "73.20.At" ], "keywords": [ "quantum anomalous hall effect", "valley-polarized metals", "electric field", "valley polarized metal", "flat gapless edge modes emerge" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2012, "month": "Aug", "volume": 109, "number": 5, "pages": "055502" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhRvL.109e5502E" } } }