{ "id": "1103.3650", "version": "v2", "published": "2011-03-18T15:38:00.000Z", "updated": "2011-04-11T16:40:05.000Z", "title": "Screening effects on the excitonic instability in graphene", "authors": [ "J. Gonzalez" ], "comment": "4 pages, 2 figures, more references added", "doi": "10.1103/PhysRevB.85.085420", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We investigate the excitonic instability in the theory of Dirac fermions in graphene with long-range Coulomb interaction. We analyze the electron-hole vertex relevant for exciton condensation in the ladder approximation, showing that it blows up at a critical value of the interaction strength \\alpha = e^2/4\\pi v_F sensitive to further many-body corrections. Under static screening of the interaction, we find that taking into account electron self-energy corrections increases the critical coupling to \\alpha_c \\approx 2.09, for a number N = 4 of two-component Dirac fermions. We show that the dynamical screening of the interaction has however the opposite effect of enhancing the instability, which turns out to develop then at \\alpha_c \\approx 0.99 for N = 4, bringing the question of whether that critical value can be reached by the effective coupling in real graphene samples at the low-energy scales of the exciton condensation.", "revisions": [ { "version": "v2", "updated": "2011-04-11T16:40:05.000Z" } ], "analyses": { "subjects": [ "71.10.Pm", "11.10.Gh", "71.30.+h", "72.80.Vp" ], "keywords": [ "excitonic instability", "screening effects", "account electron self-energy corrections increases", "exciton condensation", "critical value" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2012, "month": "Feb", "volume": 85, "number": 8, "pages": "085420" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "inspire": 901463, "adsabs": "2012PhRvB..85h5420G" } } }