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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

Graphene is a new material that exhibits remarkable properties from both fundamental and applied issues. This is a 2D matter system whose physical and mechanical features have been approached by using tight binding model, first principle…

Strongly Correlated Electrons · Physics 2011-08-10 Lalla Btissam Drissi , El Hassan Saidi , Mosto Bousmina

We study the electronic structure of gated graphene sheets. We consider both infinite graphene and finite width ribbons. The effect of Coulomb interactions between the electrically injected carriers and the coupling to the external gate are…

Mesoscale and Nanoscale Physics · Physics 2007-08-29 J. Fernandez-Rossier , J. J. Palacios , L. Brey

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…

According to the tight-binding approximation, we investigate the electronic structures of graphene ribbons with zigzag shaped edges (ZGRs) and armchair shaped edges (AGRs) drawn by the tensile force, and obtain the analytic relations…

Strongly Correlated Electrons · Physics 2008-05-01 Yong Wei , Guo-Ping Tong , Sheng Li

Based on a tight-binding model and a recursive Green's function technique, spin-depentent ballistic transport through tinny graphene sheets (flakes) is studied. The main interest is focussed on: electrical conductivity, giant…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Krompiewski

Zigzag edges of neutral armchair-oriented Graphene Nano-Ribbons show states strongly localized at those edges. They behave as free radicals that can capture electrons during processing, increasing ribbon's stability. Thus, charging and its…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 E. Louis , E. San-Fabian , G. Chiappe , J. A. Verges

Electronic structures of the zigzag bilayer graphite nanoribbons(Z-BGNR) with various ribbon width $N$ are studied within the tight binding approximation. Neglecting the inter-layer hopping amplitude $\gamma_4$, which is an order of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jun-Won Rhim , Kyungsun Moon

Characterized by zigzag and armchair boundaries, the narrow ribbons display the very different characteristics in Hall conductivities. It is shown that the multi-band-crossings occur in the energy spectrum for armchair ribbons, and the…

Mesoscale and Nanoscale Physics · Physics 2009-04-02 Junfeng Liu , Zhongshui Ma

We theoretically investigate the thermoelectric properties of zigzag graphene nanoribbons in the presence of extended line defects, substrate impurities and edge roughness along the nanoribbon's length. A nearest-neighbor tight-binding…

Materials Science · Physics 2012-03-12 Hossein Karamitaheri , Neophytos Neophytou , Mahdi Pourfath , Rahim Faez , Hans Kosina

We report a thorough study of the reducibility of edge correlation effects in graphene to much-simplified effective models for the edge states. The latter have been used before in specially tailored geometries. By a systematic investigation…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 Cornelie Koop , Manuel J. Schmidt

Spin excitation in a nano-graphite ribbon with zigzag edges is investigated theoretically. Due to the strongly localized nature of the states near Fermi energy, the effective Hamiltonian for the low energy physics is given by Heisenberg…

Strongly Correlated Electrons · Physics 2009-11-10 H. Yoshioka

We explore electron transport properties in honeycomb lattice ribbons with zigzag edges coupled to two semi-infinite one-dimensional metallic electrodes. The calculations are based on the tight-binding model and the Green's function method,…

Mesoscale and Nanoscale Physics · Physics 2010-06-08 Santanu K. Maiti

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 transport between two zigzag graphene nanoribbons (ZGNRs) connected by carbon atomic chains has been investigated by the nonequilibrium Green's function method combined with the density functional theory. The symmetry of the…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Yao-Jun Dong , Xue-Feng Wang , Ming-Xing Zhai , Jian-Chun Wu , Liping Zhou , Qin Han , Xue-Mei Wu

The two-dimensional carbon allotrope graphene has recently attracted a lot of attention from researchers in the disciplines of Lattice Field Theory, Lattice QCD and Monte Carlo calculations. This interest has been prompted by several…

High Energy Physics - Lattice · Physics 2011-11-04 Timo A. Lähde , Joaquín E. Drut

We report on the configurations and electronic properties of graphyne and graphdiyne nanoribbons with armchair and zigzag edges investigated with first principles calculations. Our results show that all the nanoribbons are semiconductors…

Mesoscale and Nanoscale Physics · Physics 2013-10-25 Lida Pan , Lizhi Zhang , Boqun Song , Shixuan Du , Hongjun Gao

We investigate the transmission of electrons between conducting nanoribbon leads oriented at multiples of 60 degrees with respect to one another, connected either directly or through graphene polygons. A mode-matching analysis suggests that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Iyengar , T. Luo , H. A. Fertig , L. Brey

Motivated by recent experiments of successfully carving out stable carbon atomic chains from graphene, we investigate a device structure of a carbon chain connecting two zigzag graphene nanoribbons with highly tunable spin-dependent…

Mesoscale and Nanoscale Physics · Physics 2013-06-17 Yuehua Xu , Bao-Ji Wang , San-Huang Ke

We revise the tight binding approach to strained or curved graphene in the presence of external probes such as Photoemission or Scanning Tunneling Microscopy experiments. We show that extra terms arise in the continuum limit of the tight…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Fernando de Juan , Juan L. Mañes , María A. H. Vozmediano