{ "id": "cond-mat/0703422", "version": "v1", "published": "2007-03-15T18:16:40.000Z", "updated": "2007-03-15T18:16:40.000Z", "title": "An insight into the electronic structure of graphene: from monolayer to multi-layer", "authors": [ "Z. F. Wang", "Huaixiu Zheng", "Q. W. Shi", "Jie Chen", "Jinlong Yang", "J. G. Hou" ], "comment": "10 pages, 4 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "In this paper, we analytically investigate the electronic structure of Bernal stacking (AB stacking) graphene evolving from monolayer (a zero-gap semiconductor with a linear Dirac-like spectrum around the Fermi energy) to multi-layer (semi-metal bulk graphite). We firstly derive a real space analytical expression for the free Green's function (propagator) of multi-layer graphene based on the effective-mass approximation. The simulation results exhibit highly spatial anisotropy with three-fold rotational symmetry. By combining with the STM measurement of d2I/dV2 (the second derivative of current), we also provide a clear high-throughput and non-destructive method to identify graphene layers. Such a method is lacking in the emerging graphene research.", "revisions": [ { "version": "v1", "updated": "2007-03-15T18:16:40.000Z" } ], "analyses": { "keywords": [ "electronic structure", "free greens function", "three-fold rotational symmetry", "real space analytical expression", "semi-metal bulk graphite" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007cond.mat..3422W" } } }