{ "id": "2006.07629", "version": "v1", "published": "2020-06-13T12:17:30.000Z", "updated": "2020-06-13T12:17:30.000Z", "title": "Confinement in Gapped Graphene with Magnetic Flux", "authors": [ "Bouchaib Lemaalem", "Abdelhadi Belouad", "Miloud Mekkaoui", "Ahmed Jellal" ], "comment": "15 pages, 8 figures", "categories": [ "cond-mat.mes-hall", "quant-ph" ], "abstract": "We study the propagation of electrons in a circular quantum dot of gapped graphene subject to the magnetic flux $\\phi$. We present analytical expressions for the eigenstates, scattering coefficients, scattering efficiency and radial component of the reflected current. We identify different scattering regimes as a function of the physical parameters such as the incident electronic energy, potential barrier, radius of quantum dot, gap and $\\phi$. We choose two values of the flux $\\phi=1/2, 3/2$ and show that for low energy of the incident electron, the scattering resonances appear and the far-field scattered current presents distinct preferred scattering directions.", "revisions": [ { "version": "v1", "updated": "2020-06-13T12:17:30.000Z" } ], "analyses": { "keywords": [ "magnetic flux", "confinement", "circular quantum dot", "incident electronic energy", "gapped graphene subject" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }