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Atomically precise graphene nanoribbons (GNRs) have emerged as promising candidates for nanoelectronic applications due to their widely tunable energy band gaps resulting from lateral quantum confinement and edge effects. Here we report on…

Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 D. S. Novikov

The list of textbook tunneling formulas is extended by deriving exact expressions for the transmission coefficient in graphene ribbons with armchair edges and the step-like and barrier-like profiles of site energies along the ribbon. These…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Yuriy Klymenko , Lyuba Malysheva , Alexander Onipko

Straintronic devices made of carbon-based materials have been pushed up due to the graphene high mechanical flexibility and the possibility of interesting changes in transport properties. Properly designed strained systems have been…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 V. Torres , D. Faria , A. Latgé

We study the transport properties of a twisted bilayer graphene flake contacted by two monolayer nanoribbons which act as leads. We analyze the conductance in terms of the spectra of the bilayer nanoribbon and the monolayer contacts. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. Pelc , E. Suárez Morell , L. Brey , L. Chico

The electronic properties of graphene zig-zag nanoribbons with electrostatic potentials along the edges are investigated. Using the Dirac-fermion approach, we calculate the energy spectrum of an infinitely long nanoribbon of finite width…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 W. Apel , G. Pal , L. Schweitzer

The chapter generalizes results on influence of uniaxial strain and adsorption on the electron states and charge transport or localization in graphene with different configurations of imperfections (point defects): resonant (neutral)…

We study the transport property for armchair-edge graphene nanoribbons (AGNRs) with an adatom coupling to a semi-infinite quantum wire. Using the nonequilibrium Green's function approach with tight-binding approximation, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Xiongwen Chen , Kehui Song , Benhu Zhou , Haiyan Wang , Guanghui Zhou

In this Letter, we present the patterning, exfoliation and micromanipulation of thin graphitic discs which are subsequently connected and patterned into sub-100nm wide ribbons with a resist-free process using Focused Ion Beam (FIB)…

We study the transport properties of Dirac fermions through gapped graphene through a magnetic barrier irradiated by a laser field oscillating in time. We use Floquet theory and the solution of Weber's differential equation to determine the…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Rachid El Aitouni , Miloud Mekkaoui , Ahmed Jellal , Michael Schreiber

We provide a broad review of fundamental electronic properties of two-dimensional graphene with the emphasis on density and temperature dependent carrier transport in doped or gated graphene structures. A salient feature of our review is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 S. Das Sarma , Shaffique Adam , E. H. Hwang , Enrico Rossi

We show that transport in low-dimensional carbon structures with finite concentrations of scatterers can be modeled by utilising scaling theory and effective cross sections. Our reults are based on large scale numerical simulations of…

Mesoscale and Nanoscale Physics · Physics 2012-01-06 Andreas Uppstu , Karri Saloriutta , Ari Harju , Martti Puska , Antti-Pekka Jauho

Graphene bilayer systems are known to exhibit a band gap when the layer symmetry is broken, by applying a perpendicular electric field. The resulting band structure resembles that of a conventional semiconductor with a parabolic dispersion.…

Mesoscale and Nanoscale Physics · Physics 2015-07-03 Søren Schou Gregersen , Jesper Goor Pedersen , Stephen R. Power , Antti-Pekka Jauho

Charge transport at the Dirac point in bilayer graphene exhibits two dramatically different transport states, insulating and metallic, that occur in apparently otherwise indistinguishable experimental samples. We demonstrate that the…

Materials Science · Physics 2017-09-01 Sam Shallcross , Sangeeta Sharma , Heiko B. Weber

We calculate the perpendicular electrical conductivity in twisted three-dimensional graphite (rotationally stacked graphite pieces) by using the effective continuum model and the recursive Green's function method. In the low twist angle…

Mesoscale and Nanoscale Physics · Physics 2023-10-27 Tenta Tani , Takuto Kawakami , Mikito Koshino

We systematically investigate the transmission of charge carriers across the grain-boundary defects in polycrystalline graphene by means of the Landauer-B\"uttiker formalism within the tight-binding approximation. Calculations reveal a…

Mesoscale and Nanoscale Physics · Physics 2014-06-05 Fernando Gargiulo , Oleg V. Yazyev

We study electronic transport in graphene nanoribbons with rough edges. We first consider a model of weak disorder that corresponds to an armchair ribbon whose width randomly changes by a single unit cell size. We find that in this case,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ivar Martin , Ya. M. Blanter

A theoretical study of the magnetoelectronic properties of zigzag and armchair bilayer graphene nanoribbons (BGNs) is presented. Using the recursive Green's function method, we study the band structure of BGNs in uniform perpendicular…

Mesoscale and Nanoscale Physics · Physics 2009-07-13 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

This letter presents our findings on the recursive band gap engineering of chiral fermions in bilayer graphene doubly aligned with hBN. By utilizing two interfering moir\'{e} potentials, we generate a supermoir\'{e} pattern which…

Numerical calculations based on the recursive Green's functions method in the tight-binding approximation are performed to calculate the dimensionless conductance $g$ in disordered graphene nanoribbons with Gaussian scatterers. The…

Mesoscale and Nanoscale Physics · Physics 2012-11-09 Leandro R. F. Lima , Felipe A. Pinheiro , Rodrigo B. Capaz , Caio H. Lewenkopf , Eduardo R. Mucciolo