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Title: Propagation of Dirac electrons in Cantor graphene multilayers

In this work we use the standard T-matrix method to study the tunneling of Dirac electrons through graphene multilayers. A graphene sheet is deposited on top of slabs of Silicon-Oxide (SiO{sub 2}) and Silicon-Carbide (SiC) substrates, in which we applied the Cantor’s series. We calculate the transmittance as a function of energy for different incident angles and different generations of the Cantor’s series. Comparing the transmittance, we found three types of self-similarity: (a) local - into generations, (b) between incident angles and (c) between generations. We also compute the angular distribution of the transmittance for fixed energies finding a self-similar pattern between generations. To our knowledge is the first time that four different self-similar patterns are presented in Cantor-based multilayers.
Authors:
; ; ;  [1]
  1. Unidad Académica de Física, Universidad Autónoma de Zacatecas, Calzada Solidaridad Esquina Con Paseo La Bufa S/N, 98060 Zacatecas, Zac. (Mexico)
Publication Date:
OSTI Identifier:
22280318
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1598; Journal Issue: 1; Conference: LDSD 2011: 7. international conference on low dimensional structures and devices, Telchac (Mexico), 22-27 May 2011; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANGULAR DISTRIBUTION; COMPARATIVE EVALUATIONS; ELECTRONS; ENERGY DEPENDENCE; GRAPHENE; LAYERS; S MATRIX; SILICON CARBIDES; SILICON OXIDES; SUBSTRATES; TUNNEL EFFECT