{ "id": "0803.3488", "version": "v1", "published": "2008-03-25T03:14:00.000Z", "updated": "2008-03-25T03:14:00.000Z", "title": "Kramers-Kronig relation of graphene conductivity", "authors": [ "Daqing Liu", "Shengli Zhang" ], "comment": "7 pages", "journal": "J. Phys.: Cond.Matter, 20, 271553(2008)", "doi": "10.1088/0953-8984/20/17/175222", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "Utilizing a complete Lorentz-covariant and local-gauge-invariant formulation, we discuss graphene response to arbitrary external electric field. The relation, which is called as Kramers-Kr(\\ddot{o})nig relation in the paper, between imaginary part and real part of ac conductivity is given. We point out there exists an ambiguity in the conductivity computing, attributed to the wick behavior at ultraviolet vicinity. We argue that to study electrical response of graphene completely, non-perturbational contribution should be considered.", "revisions": [ { "version": "v1", "updated": "2008-03-25T03:14:00.000Z" } ], "analyses": { "keywords": [ "graphene conductivity", "kramers-kronig relation", "arbitrary external electric field", "non-perturbational contribution", "complete lorentz-covariant" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics Condensed Matter", "year": 2008, "month": "Apr", "volume": 20, "number": 17, "pages": 175222 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008JPCM...20q5222L" } } }