Study of Transmission, Transport, and Electronic Structure Properties of Periodic and Aperiodic Graphene-Based Structures

Authored by: Heraclio García-Cervantes , Rogelio Rodríguez-González , José Alberto Briones-Torres , Juan Carlos Martínez-Orozco , Jesús Madrigal-Melchor , Isaac Rodríguez-Vargas

Graphene Science Handbook

Print publication date:  April  2016
Online publication date:  April  2016

Print ISBN: 9781466591370
eBook ISBN: 9781466591387
Adobe ISBN:


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We study the transmission, transport, and electronic structure properties of periodic (Superlattices) and aperiodic (Cantor and Fibonacci) monolayer graphene-based structures. The transfer matrix method has been implemented to obtain the transmittance, linear-regime conductance, and electronic structure. In particular, we have studied two types of periodic and aperiodic graphene-based structures: (1) electrostatic graphene-based structures (EGBSs), structures formed with electrostatic potentials, and (2) substrate graphene-based structures (SGBSs), obtained alternating substrates that can open and non-open, such as SiC and SiO2, an energy bandgap on graphene. We have found that the transmission properties can be modulated readily by changing the main parameters of the systems: well and barrier widths, energy and angle of incident electrons, and the number of periods as well as the degree of aperiodicity. The linear-regime conductance turns out that it diminishes various orders of magnitude increasing the barrier width for SGBSs. On the contrary, Klein tunneling sustains the conductance in EGBSs. Calculating the electronic structure or miniband-structure formation and fragmentation of periodic and aperiodic graphene-based structures, we establish a direct connection between the conductance peaks and the opening and closure of energy minibands for both EGSLs and SGSLs.

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