{ "id": "1211.3802", "version": "v1", "published": "2012-11-16T06:19:22.000Z", "updated": "2012-11-16T06:19:22.000Z", "title": "Topological phases in gated bilayer graphene: Effects of Rashba spin-orbit coupling and exchange field", "authors": [ "Zhenhua Qiao", "Xiao Li", "Wang-Kong Tse", "Hua Jiang", "Yugui Yao", "Qian Niu" ], "comment": "15 pages, 17figures, and 1 table", "journal": "Phys. Rev. B 87, 125405 (2013)", "doi": "10.1103/PhysRevB.87.125405", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci" ], "abstract": "We present a systematic study on the influence of Rashba spin-orbit coupling, interlayer potential difference and exchange field on the topological properties of bilayer graphene. In the presence of only Rashba spin-orbit coupling and interlayer potential difference, the band gap opening due to broken out-of-plane inversion symmetry offers new possibilities of realizing tunable topological phase transitions by varying an external gate voltage. We find a two-dimensional $Z_2$ topological insulator phase and a quantum valley Hall phase in $AB$-stacked bilayer graphene and obtain their effective low-energy Hamiltonians near the Dirac points. For $AA$ stacking, we do not find any topological insulator phase in the presence of large Rashba spin-orbit coupling. When the exchange field is also turned on, the bilayer system exhibits a rich variety of topological phases including a quantum anomalous Hall phase, and we obtain the phase diagram as a function of the Rashba spin-orbit coupling, interlayer potential difference, and exchange field.", "revisions": [ { "version": "v1", "updated": "2012-11-16T06:19:22.000Z" } ], "analyses": { "subjects": [ "73.22.Pr", "73.43.Cd", "71.70.Ej", "73.43.-f" ], "keywords": [ "rashba spin-orbit coupling", "exchange field", "gated bilayer graphene", "interlayer potential difference", "tunable topological phase transitions" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2013, "month": "Mar", "volume": 87, "number": 12, "pages": 125405 }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvB..87l5405Q" } } }