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Many are the ways of engineering the band gap of nanoribbons including application of stress, electric field and functionalization of the edges. In this article, we investigate separately the effects of these methods on armchair graphene…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Elisa Serrano Richaud , Sylvain Latil , Hakim Amara , Lorenzo Sponza

We study scattering on an ultra-low potential in armchair graphene nanoribbon. Using the continuous Dirac model and including a couple of artificial waves in the scattering process, described by an augumented scattering matrix, we derive a…

Mathematical Physics · Physics 2019-01-16 V. A. Kozlov , S. A. Nazarov , A. Orlof

We present a theoretical study on narrow armchair graphene nanoribbons (AGNRs) with hydroxyl functionalized edges. Although this kind of passivation strongly affects the structure of the ribbon, a high degree of edge functionalization…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Nils Rosenkranz , Christian Till , Christian Thomsen , Janina Maultzsch

We study the confinement of Dirac fermions in armchair graphene nanoribbons by means of a quantum-dot-type electrostatic potential. With the use of specific projection operators, we find exact solutions for some bound states that satisfy…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Vit Jakubsky , Sengul Kuru , Javier Negro

The electronic properties of a material depend on the spatial freedom of the electron wavefunction. A well-known example is graphite, which is a conventional gapless semiconductor, while a single layer of it, graphene, exhibits extremely…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mohammadamir Bazrafshan , Thomas. D. Kühne

We consider finite ribbons of graphene with armchair orientation of their edges to study in detail impurity effects on specific Dirac-like modes. In the framework of Anderson hybrid model of impurity perturbation, a possibility for Mott…

Disordered Systems and Neural Networks · Physics 2022-12-14 Yuriy G. Pogorelov , Vadim M. Loktev

We will present brief overview on the electronic and transport properties of graphene nanoribbons focusing on the effect of edge shapes and impurity scattering. The low-energy electronic states of graphene have two non-equivalent massless…

Mesoscale and Nanoscale Physics · Physics 2009-09-30 Katsunori Wakabayashi , Yositake Takane , Masayuki Yamamoto , Manfred Sigrist

We calculate the polarization function of Dirac fermions in metallic armchair graphene nanoribbons for an arbitrary temperature and doping. We find that at finite temperatures due to the phase space redistribution among inter-band and…

Mesoscale and Nanoscale Physics · Physics 2015-07-22 A. A. Shylau , S. M. Badalyan , F. M. Peeters , A. P. Jauho

An odd number of zigzag edges in armchair graphene nanoribbons and their mechanical properties (e.g., Young's modulus, Poisson ratio and shear modulus) have potential interest for bandgap engineering in graphene based optoelectronic…

Mesoscale and Nanoscale Physics · Physics 2019-01-04 Sanjay Prabhakar , Roderick Melnik

We investigate higher-order plasmons in graphene nanoribbons, and present how electronic edge states and wavefunction fine structure influence the graphene plasmons. Based on nearest-neighbor tight-binding calculations, we find that a…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Kåre Obel Wedel , N. Asger Mortensen , Kristian S. Thygesen , Martijn Wubs

Armchair graphene nanoribbons with different proportions of edge oxygen atoms are investigated by using crystal orbital method based on density functional theory. All the nanoribbons are energetically favorable, although buckled edges are…

Materials Science · Physics 2014-11-07 Hongyu Ge , Guo Wang , Yi Liao

Based on a first-principles approach, we present scaling rules for the band gaps of graphene nanoribbons (GNRs) as a function of their widths. The GNRs considered have either armchair or zigzag shaped edges on both sides with hydrogen…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Young-Woo Son , Marvin L. Cohen , Steven G. Louie

We investigate the diffusive electron-transport properties of charge-doped graphene ribbons and nanoribbons with imperfect edges. We consider different regimes of edge scattering, ranging from wide graphene ribbons with (partially)…

We study analytically, based on the tight-binding model, the electronic band structure of armchair AA-stacked bilayer graphene nanoribbons (BLGNRs) in several regimes. We apply hard-wall boundary conditions to determine the discretion…

Mesoscale and Nanoscale Physics · Physics 2015-02-10 Yawar Mohammadi , Borhan Arghavani Nia

We have studied zigzag and armchair graphene nano ribbons (GNRs), described by the Hubbard Hamiltonian using quantum many body configuration interaction methods. Due to finite termination, we find that the bipartite nature of the graphene…

Materials Science · Physics 2009-11-13 Sudipta Dutta , S. Lakshmi , Swapan K. Pati

Graphene as a one-atom-thick platform for infrared metamaterial plays an important role in optical science and engineering. Here we study the unique properties of some plasmonic waveguides based on graphene nano-ribbon. It is found that a…

Optics · Physics 2013-05-29 S. He , X. Zhang , Y. He

Edge structure plays an essential role in the nature of electronic states in graphene nanoribbons. By focusing on the interplay between this feature and non-trivial topology in the domain of the Dirac confinement problem, this paper…

Mesoscale and Nanoscale Physics · Physics 2017-07-24 J. F. O de Souza , Claudio Furtado

We propose a mechanical granular graphene obtained by replacing the carbon atoms with macroscopic spherical stainless steel beads in contact. The experimental measured dispersion relation is presented, in conjunction with evidence of the…

Applied Physics · Physics 2019-06-05 Li-Yang Zheng , Florian Allein , Vincent Tournat , Vitalyi Gusev , Georgios Theocharis

We present self-consistent calculations of electron transport in graphene nanoconstrictions within the Hartree approximation. We consider suspended armchair ribbons with V-shaped constrictions having perfect armchair or zigzag edges as well…

Mesoscale and Nanoscale Physics · Physics 2012-06-20 S. Ihnatsenka , G. Kirczenow

Graphene nanoribbons are semiconductor nanostructures with great potentials in nanoelectronics. Their realization particularly with small lateral dimensions below a few nanometers, however, remains challenging. Here we theoretically analyze…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Valentina Tozzini , Vittorio Pellegrini