Conductance Properties of Multilayered Silver-Mean and Period-Doubling Graphene Structures
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Conductance Properties of Multilayered Silver-Mean and Period-Doubling Graphene Structures G. Rodríguez-Arellano, D. P. Juárez-López, J. Madrigal-Melchor, J. C. Martínez-Orozco and I. Rodríguez-Vargas Unidad Académica de Física, Universidad Autónoma de Zacatecas, Calzada Solidaridad Esquina con Paseo La Bufa S/N, 98060 Zacatecas, Zac., México. ABSTRACT In this work we alternate breaking-symmetry-substrates (BSS) and non-breakingsymmetry-substrates (NBSS) such as SiC and SiO2, following the Silver-Mean (MSMGS) and Period-Doubling (MPDGS) sequences. We implement the Transfer Matrix technique to calculate the transmittance and the linear-regime conductance as a function of the most relevant parameters of the multilayered graphene structures: energy and angle of incidence, widths of BSS and NBSS regions and the generation of the quasi-regular sequence. We analyze the main difference of the transmission and conductance properties between MSMGS and MPDGS. Keywords: layered structures, electronic structure, nanostructures INTRODUCTION Graphene has been the central topic in theoretical and experimental research, since year 2004 when it was experimentally isolated by Novoselov and Geim [1-2]. A central point in graphene is that electrons behave like relativistic particles [1-3], even when they move much slower that the speed of light, vF = c/300. The consequences of this behavior are unusual effects such as minimum conductivity and Klein tunneling [4-5]. On the other hand, aperiodic order appears in different parts of nature, and it describes an increasing number of complex systems [6]. The most promising applications of quasi-regular multilayers have been as electronic and optic filters [7-8], specifically their most spectacular result in the field of nonlinear optics with the generation of second and third harmonics [8]. There are many studies on quasi-regular structures, particularly on Fibonacci, Cantor and Thue-Morse [9-13]. However, there are also others less investigated that could be of practical interest, like Silver-Mean and Period-Doubling [14-17]. Furthermore, the advent of new materials opens new possibilities both from the fundamental as technological standpoints. This is the case of graphene due to its outstanding properties and superb conditions for multiple technological applications [1819]. From the fundamental point of view graphene serves as a natural bridge between condensed matter physics and high energy physics, offering the possibility to test relativistic effects on top-table experiments [5], as well as to open a new field in physics such as Relativistic Condensed Matter Physics, term that has being coined in the community. From the technological standpoint the opportunities are unprecedented taking into account that graphene gathers excellent thermal, electronic and mechanical properties,
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which make it one of the most serious candidates to replace silicon in electronics. Up to now, graphene has been subjected to extensive and intensive rese
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