Self-similar transmission properties of aperiodic Cantor potentials in gapped graphene

Rogelio Rodríguez-González (), Isaac Rodríguez-Vargas, Dan Sidney Díaz-Guerrero and Luis Manuel Gaggero-Sager
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Rogelio Rodríguez-González: Unidad Académica de Física, Universidad Autónoma de Zacatecas
Isaac Rodríguez-Vargas: Unidad Académica de Física, Universidad Autónoma de Zacatecas
Dan Sidney Díaz-Guerrero: Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Av. Universidad
Luis Manuel Gaggero-Sager: Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Av. Universidad

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 1, 1-11

Abstract: Abstract We investigate the transmission properties of quasiperiodic or aperiodic structures based on graphene arranged according to the Cantor sequence. In particular, we have found self-similar behaviour in the transmission spectra, and most importantly, we have calculated the scalability of the spectra. To do this, we implement and propose scaling rules for each one of the fundamental parameters: generation number, height of the barriers and length of the system. With this in mind we have been able to reproduce the reference transmission spectrum, applying the appropriate scaling rule, by means of the scaled transmission spectrum. These scaling rules are valid for both normal and oblique incidence, and as far as we can see the basic ingredients to obtain self-similar characteristics are: relativistic Dirac electrons, a self-similar structure and the non-conservation of the pseudo-spin.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2015-60672-5

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