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Numerical calculations have been performed to elucidate unconventional electronic transport properties in disordered nanographene ribbons with zigzag edges (zigzag ribbons). The energy band structure of zigzag ribbons has two valleys that…

Mesoscale and Nanoscale Physics · Physics 2009-01-07 Katsunori Wakabayashi , Yositake Takane , Masayuki Yamamoto , Manfred Sigrist

The low-energy spectrum of graphene nanoribbons with armchair edges (armchair nanoribbons) is described as the superposition of two non-equivalent Dirac points of graphene. In spite of the lack of well-separated two valley structures, the…

Mesoscale and Nanoscale Physics · Physics 2009-09-07 Masayuki Yamamoto , Yositake Takane , Katsunori Wakabayashi

The band structure of graphene ribbons with zigzag edges have two valleys well separated in momentum space, related to the two Dirac points of the graphene spectrum. The propagating modes in each valley contain a single chiral mode…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Katsunori Wakabayashi , Yositake Takane , Manfred Sigrist

We review the transmission of Dirac electrons through a potential barrier in the presence of circularly polarized light. A different type of transmission is demonstrated and explained. Perfect transmission for nearly head-on collision in…

Mesoscale and Nanoscale Physics · Physics 2014-08-28 Godfrey Gumbs , Danhong Huang , Andrii Iurov , Bo Gao

We study the electronic states of narrow graphene ribbons (``nanoribbons'') with zigzag and armchair edges. The finite width of these systems breaks the spectrum into an infinite set of bands, which we demonstrate can be quantitatively…

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

We revisit the problem of electron transport in clean and disordered zigzag graphene nanoribbons, and expose numerous hitherto unknown peculiar properties of these systems at zero energy, where both sublattices decouple because of chiral…

Mesoscale and Nanoscale Physics · Physics 2014-12-16 J. M. Luck , Y. Avishai

Recent experimental findings and theoretical predictions suggest that nitrogen-doped CVD-grown graphene may give rise to electronic band gaps due to impurity distributions which favour segregation on a single sublattice. Here we demonstrate…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Thomas Aktor , Antti-Pekka Jauho , Stephen R. Power

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 article reviews the basic theoretical aspects of graphene, a one atom thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons can be controlled by application of external electric…

Other Condensed Matter · Physics 2009-01-15 A. H. Castro Neto , F. Guinea , N. M. R. Peres , K. S. Novoselov , A. K. Geim

The unconventional properties of graphene, with a massless Dirac band dispersion and large coherence properties, have raised a large interest for applications in nanoelectronics. In this work, we emphasize that graphene two dimensional…

Mesoscale and Nanoscale Physics · Physics 2008-08-27 Pierre Darancet , Valerio Olevano , Didier Mayou

Impurities are unavoidable during the preparation of graphene samples and play an important role in graphene's electronic properties when they are adsorbed on graphene surface. In this work, we study the electronic structures and transport…

Mesoscale and Nanoscale Physics · Physics 2020-03-31 Lan Chen , Fangping Ouyang , Songshan Ma , Tie-Feng Fang , Ai-Min Guo , Qing-Feng Sun

Two-dimensional graphene, carbon nanotubes and graphene nanoribbons represent a novel class of low dimensional materials that could serve as building blocks for future carbon-based nanoelectronics. Although these systems share a similar…

Mesoscale and Nanoscale Physics · Physics 2009-06-05 Alessandro Cresti , Norbert Nemec , Blanca Biel , Gabriel Niebler , Francois Triozon , Gianaurelio Cuniberti , Stephan Roche

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 study by density functional and large scale tight-binding transport calculations the electronic structure, magnetism and transport properties of the recently proposed graphene ribbons with edges rolled to form nanotubes. Edges with…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 M. A. Akhukov , Shengjun Yuan , A. Fasolino , M. I. Katsnelson

We investigate the conductivity $\sigma$ of graphene nanoribbons with zigzag edges as a function of Fermi energy $E_F$ in the presence of the impurities with different potential range. The dependence of $\sigma(E_F)$ displays four different…

Mesoscale and Nanoscale Physics · Physics 2007-08-20 Yan-Yang Zhang , Jiang-Ping Hu , X. C. Xie , W. M. Liu

Graphene nanoribbons (GNR) in mutually perpendicular electric and magnetic fields are shown to exhibit dramatic changes in their band structure and electron transport properties. A strong electric field across the ribbon induces multiple…

Materials Science · Physics 2015-05-18 Oleksiy Roslyak , Godfrey Gumbs , Danhong Huang

We investigate the electronic band structure of an undoped graphene armchair nanoribbon. We demonstrate that such nanoribbon always has a gap in its electronic spectrum. Indeed, even in the situations where simple single-electron…

Mesoscale and Nanoscale Physics · Physics 2009-09-30 A. V. Rozhkov , S. Savel'ev , Franco Nori

Graphene nanoribbons with perfect edges are predicted to exhibit interesting electronic and spintronic properties, notably quantum-confined bandgaps and magnetic edge states. However, graphene nanoribbons produced by lithography have, to…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Xinran Wang , Yijian Ouyang , Liying Jiao , Hailiang Wang , Liming Xie , Justin Wu , Jing Guo , Hongjie Dai

Conductance fluctuations produced by the presence of disorder in zigzag and armchair graphene nanoribbons are studied. We show that quantum transport in zigzag nanoribbons takes place via edge states which are exponentially localized, as in…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Ioannis Kleftogiannis , Ilias Amanatidis , Victor A. Gopar

We employ the formalism of bond currents, expressed in terms of the nonequilibrium Green functions, to image the charge flow between two sites of the honeycomb lattice of graphene ribbons of few nanometers width. In sharp contrast to…

Mesoscale and Nanoscale Physics · Physics 2007-10-18 Liviu P. Zarbo , Branislav K. Nikolic
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