https://doi.org/10.1140/epjb/e2015-60672-5
Regular Article
Self-similar transmission properties of aperiodic Cantor potentials in gapped graphene
1 Unidad Académica de Física,
Universidad Autónoma de Zacatecas, Calzada Solidaridad Esquina Con Paseo La Bufa S/N, 98000 Zacatecas,
Zac.,
México
2 Facultad de Ciencias, Universidad
Autónoma del Estado de Morelos, Av. Universidad, Col. Chamilpa
62209
Cuernavaca, Morelos,
México
a e-mail: rodriguezglez.r@fisica.uaz.edu.mx
Received:
14
August
2015
Received in final form:
20
November
2015
Published online:
20
January
2016
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.
Key words: Solid State and Materials
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2016