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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

We investigate electronic transport in lithographically patterned graphene ribbon structures where the lateral confinement of charge carriers creates an energy gap near the charge neutrality point. Individual graphene layers are contacted…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Melinda Y. Han , Barbaros Oezyilmaz , Yuanbo Zhang , Philip Kim

The electronic properties of graphene zig-zag nanoribbons with electrostatic potentials along the edges are investigated. Using the Dirac-fermion approach, we calculate the energy spectrum of an infinitely long nanoribbon of finite width…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 W. Apel , G. Pal , L. Schweitzer

Graphene nanoribbons with sub-nanometer widths are extremely interesting for nanoscale electronics and devices as they combine the unusual transport properties of graphene with the opening of a band gap due to quantum confinement in the…

In this work we study theoretically the electronic properties of a sheet of graphene grown on a periodic heterostructure substrate. We write an effective Dirac equation, which includes a dependence of both the band gap and the Fermi…

Materials Science · Physics 2014-11-12 Jonas R. F. Lima , F. Moraes

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

By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy , C. M. Wyenberg

In this Letter, we investigate the strain-induced band-gap modulation of both armchair and zigzag graphane nanoribbons based on the first-principles calculations. Within the elastic range, the band gap changes linearly with the uniaxial…

Materials Science · Physics 2011-11-29 Yan Zhang , Xiaojun Wu , Qunxiang Li , Jinlong Yang

The band gap of periodically-doped graphene with hydrogen is investigated. It is found through a tight-binding model (TB) that for certain periodicities, called here NGPs (non-gap periodicities), no gap is opened at the Dirac point. This…

Materials Science · Physics 2010-12-15 Juan Maria Garcia-Lastra

Strain fold-like deformations on armchair graphene nanoribbons (AGNRs) can be properly engineered in experimental setups, and could lead to a new controlling tool for gaps and transport properties. Here, we analyze the electronic properties…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 V. Torres , C. Leon , D. Faria , A. Latge

For graphene to be utilized in the digital electronics industry the challenge is to create bandgaps of order 1eV as simply as possible. The most successful methods for the creation of gaps in graphene are (a) confining the electrons in…

Mesoscale and Nanoscale Physics · Physics 2014-03-13 A. R. Davenport , J. P. Hague

The band structures of strained graphene nanoribbons (GNRs) are examined by a tight binding Hamiltonian that is directly related to the type and strength of strains. Compared to the two-dimensional graphene whose band gap remains close to…

Mesoscale and Nanoscale Physics · Physics 2010-01-20 Yang Lu , Jing Guo

Graphene nanoribbons have attracted attention for their novel electronic and spin transport properties1-6, and because nanoribbons less than 10 nm wide have a band gap that can be used to make field effect transistors. However, producing…

Materials Science · Physics 2015-05-18 Liying Jiao , Xinran Wang , Georgi Diankov , Hailiang Wang , Hongjie Dai

The light-like dispersion of graphene monolayer results in many novel electronic properties in it1, however, this gapless feature also limits the applications of graphene monolayer in digital electronics2. A rare working solution to…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Si-Yu Li , Mei Zhou , Jia-Bin Qiao , Wenhui Duan , Lin He

Graphene nanoribbons are quasi-one-dimensional meterials with finite width. Characterizing a wide class of nanoribbons by edge shape and width, we make a systematic analysis of their electronic properties. The band gap structure of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Motohiko Ezawa

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

Graphene- the wonder material has attracted a great deal of attention from varied fields of condensed matter physics, materials science and chemistry in recent times. Its 2D atomic layer structure and unique electronic band structure makes…

Materials Science · Physics 2011-08-23 Deep Jariwala , Anchal Srivastava , Pulickel Ajayan

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

Graphene revealed a number of unique properties beneficial for electronics. However, graphene does not have an energy band-gap, which presents a serious hurdle for its applications in digital logic gates. The efforts to induce a band-gap in…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Guanxiong Liu , Sonia Ahsan , Alexander G. Khitun , Roger K. Lake , Alexander A. Balandin

We demonstrate the topological properties of the band-gap of armchair graphene nanoribbons in a spatially varying staggered sublattice potential. Several general scaling laws are presented to quantify the band gap variation. It is found…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 T. E. O'Brien , Chao Zhang , Anthony R. Wright
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