{ "id": "0804.0984", "version": "v1", "published": "2008-04-07T08:43:09.000Z", "updated": "2008-04-07T08:43:09.000Z", "title": "Electronic Structure in Gapped Graphene with Coulomb Potential", "authors": [ "W. Zhu", "M. L. Liang", "Q. W. Shi", "Z. F. Wang", "J. Chen", "J. G. Hou" ], "comment": "5 page, 4 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "In this paper, we numerically study the bound electron states induced by long range Coulomb impurity in gapped graphene and the quasi-bound states in supercritical region based on the lattice model. We present a detailed comparison between our numerical simulations and the prediction of the continuum model which is described by the Dirac equation in (2+1)-dimensional Quantum Electrodynamics (QED). We also use the Fano's formalism to investigate the quasi-bound state development and design an accessible experiments to test the decay of the supercritical vacuum in the gapped graphene.", "revisions": [ { "version": "v1", "updated": "2008-04-07T08:43:09.000Z" } ], "analyses": { "subjects": [ "81.05.Uw", "71.23.-k", "71.55.-i" ], "keywords": [ "gapped graphene", "coulomb potential", "electronic structure", "long range coulomb impurity", "bound electron states" ], "publication": { "doi": "10.1103/PhysRevB.79.155430", "journal": "Physical Review B", "year": 2009, "month": "Apr", "volume": 79, "number": 15, "pages": 155430 }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvB..79o5430Z" } } }