{ "id": "0709.4245", "version": "v3", "published": "2007-09-27T17:56:41.000Z", "updated": "2009-02-25T00:43:47.000Z", "title": "Minimal conductivity in graphene: interaction corrections and ultraviolet anomaly", "authors": [ "E. G. Mishchenko" ], "comment": "5 pages, 1 figure; Reply to the Comment by I.F. Herbut, V. Juricic, O. Vafek, and M.J. Case, \"Comment on \"Minimal conductivity in graphene: Interaction corrections and ultraviolet anomaly\" by Mishchenko E. G.\", arXiv:0809.0725, is added in Appendix", "journal": "Europhys. Lett. 83, 17005 (2008)", "doi": "10.1209/0295-5075/83/17005", "categories": [ "cond-mat.mes-hall" ], "abstract": "Conductivity of a disorder-free intrinsic graphene is studied to the first order in the long-range Coulomb interaction and is found to be \\sigma=\\sigma_0(1+0.01 g), where 'g' is the dimensionless (\"fine structure\") coupling constant. The calculations are performed using three different methods: i) electron polarization function, ii) Kubo formula for the conductivity, iii) quantum transport equation. Surprisingly, these methods yield different results unless a proper ultraviolet cut-off procedure is implemented, which requires that the interaction potential in the effective Dirac Hamiltonian is cut-off at small distances (large momenta).", "revisions": [ { "version": "v3", "updated": "2009-02-25T00:43:47.000Z" } ], "analyses": { "keywords": [ "interaction corrections", "minimal conductivity", "ultraviolet anomaly", "proper ultraviolet cut-off procedure", "electron polarization function" ], "tags": [ "journal article" ], "publication": { "journal": "EPL (Europhysics Letters)", "year": 2008, "month": "Jul", "volume": 83, "number": 1, "pages": 17005 }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008EL.....8317005M" } } }