{ "id": "0911.4017", "version": "v1", "published": "2009-11-20T11:15:37.000Z", "updated": "2009-11-20T11:15:37.000Z", "title": "Dirac electrons in a Kronig-Penney potential: dispersion relation and transmission periodic in the strength of the barriers", "authors": [ "M. Barbier", "P. Vasilopoulos", "F. M. Peeters" ], "comment": "5 pages, 6 figures", "journal": "Phys. Rev. B 80, 205415 (2009)", "doi": "10.1103/PhysRevB.80.205415", "categories": [ "cond-mat.mes-hall" ], "abstract": "The transmission T and conductance G through one or multiple one-dimensional, delta-function barriers of two-dimensional fermions with a linear energy spectrum are studied. T and G are periodic functions of the strength P of the delta-function barrier V(x,y) / hbar v_F = P delta(x). The dispersion relation of a Kronig-Penney (KP) model of a superlattice is also a periodic function of P and causes collimation of an incident electron beam for P = 2 pi n and n integer. For a KP superlattice with alternating sign of the height of the barriers the Dirac point becomes a Dirac line for P = (n + 1/2) pi.", "revisions": [ { "version": "v1", "updated": "2009-11-20T11:15:37.000Z" } ], "analyses": { "subjects": [ "71.10.Pm", "73.21.-b", "81.05.Uw" ], "keywords": [ "dispersion relation", "dirac electrons", "kronig-penney potential", "transmission periodic", "periodic function" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2009, "month": "Nov", "volume": 80, "number": 20, "pages": 205415 }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvB..80t5415B" } } }