{ "id": "1101.3930", "version": "v1", "published": "2011-01-20T15:29:53.000Z", "updated": "2011-01-20T15:29:53.000Z", "title": "Bilayer graphene with single and multiple electrostatic barriers: band structure and transmission", "authors": [ "M. Barbier", "P. Vasilopoulos", "F. M. Peeters", "J. Milton Pereira Jr" ], "comment": "7 pages, 6 figures", "journal": "Phys. Rev. B 79, 155402 (2009)", "doi": "10.1103/PhysRevB.79.155402", "categories": [ "cond-mat.mes-hall" ], "abstract": "We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to both layers. As a model we use the tight-binding Hamiltonian in the continuum approxi- mation. For zero bias the dispersion relation shows a finite gap for carriers with zero momentum in the direction parallel to the barriers. This is in contrast to single-layer graphene where no such gap was found. A gap also appears for a finite bias. Numerical results for the energy spectrum, conductance, and the density of states are presented and contrasted with those pertaining to single-layer graphene.", "revisions": [ { "version": "v1", "updated": "2011-01-20T15:29:53.000Z" } ], "analyses": { "subjects": [ "71.10.Pm", "73.21.-b", "81.05.Uw" ], "keywords": [ "multiple electrostatic barriers", "band structure", "transmission", "dispersion relation", "single-layer graphene" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2009, "month": "Apr", "volume": 79, "number": 15, "pages": 155402 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvB..79o5402B" } } }