{ "id": "1305.7314", "version": "v2", "published": "2013-05-31T07:16:49.000Z", "updated": "2013-11-11T04:14:54.000Z", "title": "Spin-resoloved chiral condensate as a spin-unpolarized ν=0 quantum Hall state in graphene", "authors": [ "Yuji Hamamoto", "Tohru Kawarabayashi", "Hideo Aoki", "Yasuhiro Hatsugai" ], "comment": "6 pages, 4 figures. Phys. Rev. B, to be published", "categories": [ "cond-mat.mes-hall" ], "abstract": "Motivated by the recent experiments indicating a spin-unpolarized \\nu=0 quantum Hall state in graphene, we theoretically investigate the ground state based on the many-body problem projected onto the n=0 Landau level. For an effective model with the on-site Coulomb repulsion and antiferromagnetic exchange couplings, we show that the ground state is a doubly-degenerate spin-resolved chiral condensate in which all the zero-energy states with up spin are condensed into one chirality, while those with down spin to the other. This can be exactly shown for an Ising-type exchange interaction. The charge gap due to the on-site repulsion in the ground state is shown to grow linearly with the magnetic field, in qualitative agreement with the experiments.", "revisions": [ { "version": "v2", "updated": "2013-11-11T04:14:54.000Z" } ], "analyses": { "subjects": [ "73.22.Pr", "71.10.Fd", "73.43.-f" ], "keywords": [ "quantum hall state", "spin-resoloved chiral condensate", "ground state", "ising-type exchange interaction" ], "publication": { "doi": "10.1103/PhysRevB.88.195141", "journal": "Physical Review B", "year": 2013, "month": "Nov", "volume": 88, "number": 19, "pages": 195141 }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvB..88s5141H" } } }