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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

In the effective mass approximation, electronic property in graphene can be characterized by the relativistic Dirac equation. Within such a continuum model we investigate the electronic transport through graphene waveguides formed by…

Strongly Correlated Electrons · Physics 2015-05-13 Haidong Li , Lin Wang , Zhihuan Lan , Yisong Zheng

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…

Armchair graphene nanoribbons are a highly promising class of semiconductors for all-carbon nanocircuitry. Here, we present a new perspective on their electronic structure from simple model Hamiltonians and $\textit{ab initio}$…

Mesoscale and Nanoscale Physics · Physics 2023-01-24 Nikita V. Tepliakov , Johannes Lischner , Efthimios Kaxiras , Arash A. Mostofi , Michele Pizzochero

Dependency of energy bandgap (Eg) of bilayer armchair graphene nanoribbons (AGNRB) on their widths, interlayer distance (D) and edge doping concentration of boron/nitrogen is investigated using local density approximation and compare to the…

Materials Science · Physics 2008-06-20 Kai-Tak Lam , Gengchiau Liang

The unusual electronic and optical properties of armchair and zigzag graphene nanoribbons (GNRs) subject to in-plane transverse electric and perpendicular magnetic fields have been systematically investigated. Our calculations were carried…

Mesoscale and Nanoscale Physics · Physics 2021-03-29 Thi-Nga Do , Po-Hsin Shih , Godfrey Gumbs , Danhong Huang

The electronic nonlinear transport through ultra narrow graphene nanoribbons (sub-$10nm$) is studied. A stable region of negative differential resistance (NDR) appears in the I-V characteristic curve of {\it odd} zigzag graphene nanoribbons…

Mesoscale and Nanoscale Physics · Physics 2012-11-14 Hosein Cheraghchi

The deformation and disintegration of a graphene nanoribbon under external electrostatic fields are investigated by first principle quantum mechanical calculations to establish its stability range. The zigzag edges terminated by various…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Haiming Huang , Zhibing Li , H. J. Kreuzer , Weiliang Wang

Dirac-electronic tunneling and nonlinear transport properties with both finite and zero energy bandgap are investigated for graphene with a tilted potential barrier under a bias. For validation, results from a finite-difference based…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

A theoretical study of the magnetoelectronic properties of zigzag and armchair bilayer graphene nanoribbons (BGNs) is presented. Using the recursive Green's function method, we study the band structure of BGNs in uniform perpendicular…

Mesoscale and Nanoscale Physics · Physics 2009-07-13 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

Herein, we investigate the structural, electronic and mechanical properties of zigzag graphene nanoribbons upon the presence of stress applying Density Functional Theory within the GGA-PBE approximation. The uniaxial stress is applied along…

Materials Science · Physics 2015-05-13 Ricardo Faccio , Pablo A. Denis , Helena Pardo , Cecilia Goyenola , Alvaro W. Mombru

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

We theoretically investigate the electronic and transport properties of a semi-Dirac material under the influence of an external time dependent periodic driving field (irradiation) by means of Floquet theory. We explore the inelastic…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 SK Firoz Islam , Arijit Saha

We present numerical studies of conduction in graphene nanoribbons with reconstructed edges based on the standard tight-binding model of the graphene and the extended Huckel model of the reconstructed defects. We performed atomic geometry…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 S. Ihnatsenka , G. Kirczenow

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

On the basis of first principles calculations, we report energy estimated to cut a graphene sheet into nanoribbons of armchair and zigzag configurations. Our calculations show that the energy required to cut a graphene sheet into zigzag…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 Deepika , T. J. Dhilip Kumar , Rakesh Kumar

In this Letter, we put forward a resolution to the prolonged ambiguity in energy band gaps between theory and experiments of fabricated graphene nanoribbons (GNRs). Band structure calculations using density functional theory are performed…

Mesoscale and Nanoscale Physics · Physics 2016-10-11 Deepika , T. J. Dhilip Kumar , Alok Shukla , Rakesh Kumar

Band gap control by an external field is useful in various optical, infrared and THz applications. However, widely tunable band gaps are still not practical due to variety of reasons. Using the orthogonal tight-binding method for…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 V. A. Saroka , K. G. Batrakov , V. A. Demin , L. A. Chernozatonskii

A simple model which combines tight-binding (TB) approximation with parameters derived from first principle calculations is developed for studying the influence of edge passivation and uniaxial strain on electron effective mass of armchair…

Mesoscale and Nanoscale Physics · Physics 2014-06-06 Benjamin O. Tayo

The size-dependent electrical resistivity of single-layer graphene ribbons has been studied experimentally for ribbon widths from 16 nm to 320 nm. The experimental findings are that the resistivity follows a more dramatic trend than that…

Mesoscale and Nanoscale Physics · Physics 2019-05-24 Zhuocong Xiao , Colm Durkan