{ "id": "1111.4563", "version": "v3", "published": "2011-11-19T15:03:34.000Z", "updated": "2012-01-31T13:56:42.000Z", "title": "Skyrme crystal in bilayer and multilayer graphene", "authors": [ "Yasuhisa Sakurai", "Daijiro Yoshioka" ], "comment": "8 pages, 8 figures", "journal": "Phys. Rev. B 85, 045108 (2012)", "doi": "10.1103/PhysRevB.85.045108", "categories": [ "cond-mat.mes-hall" ], "abstract": "The ground state of the two-dimensional electron systems in Bernal bilayer and ABC-stacked multilayer graphenes in the presence of a strong magnetic field is investigated with the Hartree-Fock approximation. Phase diagrams of the systems are obtained, focusing on charge density wave states including states with vortices of valley pseudospins (called a Skyrme crystal). The single-electron states in these stacked graphenes are given by two-component wave functions. That of the first excited Landau level has the same component as the lowest Landau level of the ordinary two-dimensional electrons. Because of this localized wave functions, the Skyrme crystal has low energy in this first excited level up to four layers of graphene, when the inter-layer distance is assumed to be infinitesimal. At the same time, bubble crystals are suppressed, so the phase diagram is different from that of a single-layer graphene.", "revisions": [ { "version": "v3", "updated": "2012-01-31T13:56:42.000Z" } ], "analyses": { "subjects": [ "73.21.-b", "73.22.Gk", "73.22.Pr" ], "keywords": [ "skyrme crystal", "multilayer graphene", "phase diagram", "charge density wave states", "lowest landau level" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2012, "month": "Jan", "volume": 85, "number": 4, "pages": "045108" }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhRvB..85d5108S" } } }