{"paper":{"title":"Self-similar Charge Transport in Gapped Graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.mes-hall","authors_text":"((1) Facultad de Ciencias, Depto. de F\\'isica-Qu\\'imica, D. S. D\\'iaz-Guerrero (1), G. G. Naumis (3), I. Rodr\\'iguez Vargas (2), L. M. Gaggero-Sager (1), M\\'exico), M\\'exico. (2) Unidad de F\\'isica, M\\'exico. (3) Instituto F\\'isica, M\\'exico D.F., Universidad Aut\\'onoma del Estado de Morelos. Cuernavaca Morelos, Universidad Aut\\'onoma de Zacatecas. Zacatecas Zacatecas, Universidad Nacional Aut\\'onoma de M\\'exico (UNAM)","submitted_at":"2015-03-11T16:49:31Z","abstract_excerpt":"A new type of self-similar potential is used to study a multibarrier system made of graphene. Such potential is based on the traditional middle third Cantor set rule combined with a scaling of the barriers height. The resulting transmission coefficient for charge carriers, obtained using the quantum relativistic Dirac equation, shows a surprising self-similar structure. The same potential does not lead to a self-similar transmission when applied to the typical semiconductors described by the non-relativistic Schr\\\"odinger equation. The proposed system is one of the few examples in which a self"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03412","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}