Abstract

RODRIGUEZ-GONZALEZ, R.; MARTINEZ-OROZCO, J. C.; MADRIGAL-MELCHOR, J.  and  RODRIGUEZ-VARGAS, I.. Transmission properties of Dirac electrons through Cantor monolayer graphene superlattices. Nova scientia [online]. 2015, vol.7, n.13, pp.20-31. ISSN 2007-0705.

In this work we use the transfer matrix method to study the tunneling of Dirac electrons through aperiodic monolayer graphene superlattices. We consider a graphene sheet deposited on top of slabs of Silicon-Oxide (SiO₂) and Silicon-Carbide (SiC) substrates, in which we applied the Cantor's series. We calculate the transmittance for different fundamental parameters such as: starting width, incident energy, incident angle and generation number of the Cantor's series. In this case, the transmittance as function of energy presents self-similar features as a function of the generation number. We also compute the angular distribution of the transmittance for fixed energies finding a self-similar patterns between generations. Finally, we calculate the scaling factor for some transmittance spectra, which effectively show scalability.

Keywords : Graphene; Cantor multilayers; Transmittance; Transfer matrix.