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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

Change of the bonding environment at the free edges of graphene monolayer leads to excess edge energy and edge force, depending on the edge morphology (zigzag or armchair). By using a reactive empirical bond-order potential and atomistic…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Qiang Lu , Rui Huang

Edge states in biased bilayer graphene in a magnetic field are studied within the four-band continuum model. The analysis is done for the semi-infinite graphene plane and for the graphene ribbon of a finite width, in the cases of zigzag and…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 P. K. Pyatkovskiy

Density functional theory calculations are used to investigate the electronic structures of localized states at reconstructed armchair graphene edges. We consider graphene nanoribbons with two different edge types and obtain the energy band…

Mesoscale and Nanoscale Physics · Physics 2013-07-03 Changwon Park , Jisoon Ihm , Gunn Kim

The stability of graphene nanoribbons in the presence of typical atmospheric molecules is systematically investigated by means of density functional theory. We calculate the edge formation free energy of five different edge configurations…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. Vanin , J. Gath , K. S. Thygesen , K. W. Jacobsen

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)…

This comprehensive study investigates charge transport through the multiple end zigzag edge states of finite-size armchair graphene nanoribbons/boron nitride nanoribbons (n-AGNR/w-BNNR) junctions under a longitudinal electric field, where n…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 David M T Kuo

The topological phases of graphene with spin-orbit coupling, an exchange field, and a staggered-sublattice potential determine the properties of the edge states of the zigzag nanoribbon. In the presence of the Hubbard interaction, the…

Mesoscale and Nanoscale Physics · Physics 2020-08-13 Ma Luo

Bilayer graphene nanoribbon with zigzag edge is investigated with the tight binding model. Two stacking structures, alpha and beta, are considered. The band splitting is seen in the alpha structure, while the splitting in the wave number…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Kikuo Harigaya , Hiroshi Imamura , Katsunori Wakabayashi , Osman Ozsoy

Graphene-based nanostructures exhibit a vast range of exciting electronic properties that are absent in extended graphene. For example, quantum confinement in carbon nanotubes and armchair graphene nanoribbons (AGNRs) leads to the opening…

The edge physics of graphene based systems is well known to be highly sensitive to the atomic structure at the boundary, with localized zero mode edge states found only on the zigzag type termination of the lattice. Here we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 M. Fleischmann , R. Gupta , D. Weckbecker , W. Landgraf , O. Pankratov , V. Meded , S. Shallcross

In this article, we study zigzag graphene nanoribbons with edges reconstructed with Stone-Wales defects, by means of an empirical (first-neighbor) tight-binding method, with parameters determined by ab-initio calculations of very narrow…

Presence of flat bands and edge states at the Fermi level in graphene nanoribbons with zigzag edges is one of the most interesting and attracting properties of nanocarbon materials but it is believed that they are quite fragile states and…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Tomoaki Kaneko , Kikuo Harigaya , Hiroshi Imamura

We consider the scattering of an atom by a sequence of two near-resonant standing light waves each formed by two running waves with slightly different wave vectors. Due to opposite detunings of the two standing waves and within the rotating…

Quantum Physics · Physics 2013-02-21 Polina V. Mironova , Maxim A. Efremov , Wolfgang P. Schleich

We investigate the formation of edge states in graphene ribbons and flakes with proximity induced valley-Zeeman and Rashba spin-orbit couplings in the presence of a perpendicular magnetic field $B$. Two types of edges states appear in the…

Mesoscale and Nanoscale Physics · Physics 2022-06-07 Yaroslav Zhumagulov , Tobias Frank , Jaroslav Fabian

Random fluctuations of the shot-noise power in disordered graphene nanoribbons are studied. In particular, we calculate the distribution of the shot noise of nanoribbons with zigzag and armchair edge terminations. We show that the shot…

Mesoscale and Nanoscale Physics · Physics 2015-12-14 Victor A. Gopar

We study edges states of graphene ribbons in the quantized Hall regime, and show that they can be described within a continuum model (the Dirac equation) when appropriate boundary conditions are adopted. The two simplest terminations,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Luis Brey , H. A. Fertig

Using a tight binding model, we theoretically study the electronic properties of zigzag boron-carbon-nitride (BCN) nanoribbons where the outermost C atoms of zigzag graphene nanoribbons are replaced with B and N atoms. We show that the flat…

Materials Science · Physics 2013-05-23 Tomoaki Kaneko , Kikuo Harigaya

The presence of structure-dependent edge states of graphite is revealed by both ambient- and ultra-highvacuum- (UHV) scanning tunneling microscopy (STM) / scanning tunneling spectroscopy (STS) observations. On a hydrogenated zigzag…

Materials Science · Physics 2009-11-11 Yousuke Kobayashi , Ken-ichi Fukui , Toshiaki Enoki , Koichi Kusakabe , Yutaka Kaburagi

The accumulation of non-trivial geometric phases in a material's response is often a tell-tale sign of a rich underlying internal structure. Studying quantum oscillations provides one of the ways to determine these geometrical phases, such…

Mesoscale and Nanoscale Physics · Physics 2019-10-22 Biswajit Datta , Pratap Chandra Adak , Li-kun Shi , Kenji Watanabe , Takashi Taniguchi , Justin C. W. Song , Mandar M. Deshmukh