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We present an analytical tight-binding theory of the optical properties of graphene nanoribbons with zigzag edges. Applying the transfer matrix technique to the nearest-neighbor tight-binding Hamiltonian, we derive analytical expressions…

Mesoscale and Nanoscale Physics · Physics 2024-11-22 V. A. Saroka , M. V. Shuba , M. E. Portnoi

Electric transport of a zigzag graphene nanoribbon through a step-like potential or a barrier potential is investigated by using the recursive Green's function method. In the case of the step-like potential, we demonstrate numerically that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jun Nakabayashi , Daisuke Yamamoto , Susumu Kurihara

Graphene has many advantageous properties, but its lack of an electronic band gap makes this two dimensional material impractical for many nanoelectronic applications, for example field effect transistors. This problem can be circumvented…

Mesoscale and Nanoscale Physics · Physics 2009-12-17 Peter Nemes Incze , Gabor Magda , Katalin Kamaras , Laszlo Peter Biro

Theoretical progress in graphene physics has largely relied on the application of a simple nearest-neighbor tight-binding model capable of predicting many of the electronic properties of this material. However, important features that…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Z. M. Abd El-Fattah , M. A. Kher-Elden , I. Piquero-Zulaica , F. J. Garcia de Abajo , J. E. Ortega

In contrast to the well recognized transverse-electric-field-induced half-metallicity in zigzag graphene nanoribbons, here we demonstrate by first-principles calculations that zigzag graphene nanoribbons sandwiched between hexagonal boron…

Mesoscale and Nanoscale Physics · Physics 2013-04-15 Jin Yu , Wanlin Guo

Graphene on a substrate will suffer an inversion-symmetry-breaking (ISB) lattice potential. Taking electron-electron interaction into account, we study in this paper the possibility of half-metallicity and noncollinear (NC) magnetic phase…

Mesoscale and Nanoscale Physics · Physics 2011-09-26 Lihua Pan , Jin An , Yong-Jun Liu , Chang-De Gong

We investigate the low-lying excitation spectrum and ground-state properties of narrow graphene nanoribbons with zigzag edge configurations. Nanoribbons of comparable widths have been synthesized very recently [P. Ruffieux, \emph{et al.}…

Strongly Correlated Electrons · Physics 2016-10-21 I. Hagymasi , O. Legeza

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 investigate electron-phonon couplings, scattering rates, and mean free paths in zigzag-edge graphene strips with widths of the order of 10 nm. Our calculations for these graphene nanostrips show both the expected similarity with…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Gunlycke , H. M. Lawler , C. T. White

We calculate the electron-phonon scattering and binding in semiconducting carbon nanotubes, within a tight binding model. The mobility is derived using a multi-band Boltzmann treatment. At high fields, the dominant scattering is inter-band…

Materials Science · Physics 2009-11-10 Vasili Perebeinos , J. Tersoff , Phaedon Avouris

The spin-polarized electronic structure and half-metallicity of zigzag graphene nanoribbons (ZGNRs) with asymmetric edge terminations are investigated by using first principles calculations. It is found that compared with symmetric…

Materials Science · Physics 2010-07-15 Zuanyi Li , Bing Huang , Wenhui Duan

Optical selection rules for one-dimensional graphene nanoribbons are analytically studied and clarified based on the tight-binding model. A theoretical explanation, through analyzing the velocity matrix elements and the features of…

Mesoscale and Nanoscale Physics · Physics 2011-11-03 H. C. Chung , M. H. Lee , C. P. Chang , M. F. Lin

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 2012-03-13 Kikuo Harigaya , Hiroshi Imamura

We studied the Klein paradox in zigzag (ZNR) and anti-zigzag (AZNR) graphene nanoribbons. Due to the fact that ZNR (the number of lattice sites across the nanoribbon (N is even) and AZNR (N is odd) configurations are indistinguishable when…

Materials Science · Physics 2015-05-18 O. Roslyak , A. Iurov , Godfrey Gumbs , Danhong Huang

The electronic and magnetic properties of zigzag graphene nanoribbons with asymmetric notches along their edges are investigated by first principle density functional theory calculations. It is found that the electronic and magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-08-14 Guang-Yao Song , Qing-Hong Yuan , Wen-Xin Hu , De-Yan Sun

Using a continuum Dirac theory, we study the density and spin response of zigzag edge terminated graphene ribbons subjected to edge potentials and Zeeman fields. Our analytical calculations of the density and spin responses of the closed…

Mesoscale and Nanoscale Physics · Physics 2010-11-23 Somnath Bhowmick , Vijay B. Shenoy

The electron-phonon matrix element for edge states of carbon nanotubes and graphene at zigzag edges is calculated for obtaining renormalized energy dispersion of the edge states. Self-energy correction by electron-phonon interaction…

Mesoscale and Nanoscale Physics · Physics 2007-06-21 K. Sasaki , K. Sato , J. Jiang , R. Saito , S. Onari , Y. Tanaka

We study a scattering on an ultra-low potential in zigzag graphene nanoribbon. Using mathematical framework based on the continuous Dirac model and augumented scattering matrix, we derive a condition for the existence of a trapped mode. We…

Mathematical Physics · Physics 2017-06-28 V. A. Kozlov , S. A. Nazarov , A. Orlof

We investigate electron and phonon transport through edge disordered zigzag graphene nanoribbons based on the same methodological tool of nonequilibrium Green functions. We show that edge disorder dramatically reduces phonon thermal…

Mesoscale and Nanoscale Physics · Physics 2010-07-20 H. Sevincli , G. Cuniberti

Coherent spin-dependent transport through a junction containing of Normal/Ferromagnetic/Normal bilayer graphene nanoribbon with zigzag edges is investigated by using Landauer formalism. In a more realistic set-up, the exchange field is…

Mesoscale and Nanoscale Physics · Physics 2014-03-05 Vahid Derakhshan , Hosein Cheraghchi
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