{ "id": "1205.6330", "version": "v2", "published": "2012-05-29T11:16:28.000Z", "updated": "2012-07-05T17:26:20.000Z", "title": "Structure and the Lamb-shift-like quantum splitting of the pseudo-zero-mode Landau levels in bilayer graphene", "authors": [ "K. Shizuya" ], "comment": "12 pages, 4 figures, revtex; added references, to appear in PRB", "journal": "Phys. Rev. B 86, 045431 (2012)", "doi": "10.1103/PhysRevB.86.045431", "categories": [ "cond-mat.mes-hall" ], "abstract": "In a magnetic field bilayer graphene supports an octet of zero-energy Landau levels with an extra twofold degeneracy in Landau orbitals n=0 and n=1. It is shown that this orbital degeneracy is lifted due to Coulombic quantum fluctuations of the valence band (the Dirac sea); this is a quantum effect analogous to the Lamb shift in the hydrogen atom. A detailed study is made of how these zero-energy levels evolve, with filling, into a variety of pseudo-zero-mode Landau levels in the presence of possible spin and valley breaking and Coulomb interactions, and a comparison is made with experimental results.", "revisions": [ { "version": "v2", "updated": "2012-07-05T17:26:20.000Z" } ], "analyses": { "subjects": [ "73.22.Pr", "73.43.-f", "75.25.Dk" ], "keywords": [ "pseudo-zero-mode landau levels", "lamb-shift-like quantum splitting", "magnetic field bilayer graphene supports", "zero-energy landau levels", "extra twofold degeneracy" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2012, "month": "Jul", "volume": 86, "number": 4, "pages": "045431" }, "note": { "typesetting": "RevTeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhRvB..86d5431S" } } }