{ "id": "2208.14969", "version": "v1", "published": "2022-08-31T17:10:01.000Z", "updated": "2022-08-31T17:10:01.000Z", "title": "Effect of parallel magnetic field on Klein tunneling in $pn$ and $pnp$ graphene trilayer junctions", "authors": [ "Abderrahim El Mouhafid", "Ahmed Jellal" ], "comment": "7 pages, 10 figures, two-column", "categories": [ "cond-mat.mes-hall", "quant-ph" ], "abstract": "The effect of a parallel magnetic field $B$ and a potential substrate on the transmission, conductivity, and Fano factor of a biased ABC-stacked $pn$ and $pnp$ trilayer graphene junction (ABC-TLG) is investigated theoretically at low energy. We discovered that, in the presence of a high magnetic field $B=1400$T, the ABC-TLG can exhibit new Klein tunneling at two new incidence $k_y$ values, in addition to the usual value of $k_y=0$ and whatever the energy value is. Indeed, the transmission of ABC-TLG via $ pn $ and $ pnp $ junctions is transformed into a three-separate transmission of single-like graphene (SLG), with Klein tunneling appearing at $k_y=0$ and $k_y=\\pm\\kappa$ ($\\kappa$ is highly dependent on $B$). Furthermore, the conductivity $\\sigma$ and Fano factor $F$ behave similarly to SLG, with ABC-TLG having the lowest $\\sigma=3g_0/\\pi$ and highest $F=1/3$ at $B=1400$T and $\\sigma_{\\text{TLG}}=3\\sigma_{\\text{SLG}}$.", "revisions": [ { "version": "v1", "updated": "2022-08-31T17:10:01.000Z" } ], "analyses": { "keywords": [ "parallel magnetic field", "graphene trilayer junctions", "klein tunneling", "fano factor", "trilayer graphene junction" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }