The electronic properties of graphene
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In this paper, the basic theoretical aspects of graphene, a one-atom-thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations, are discussed.Abstract:
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 and magnetic fields, or by altering sample geometry and/or topology. The Dirac electrons behave in unusual ways in tunneling, confinement, and the integer quantum Hall effect. The electronic properties of graphene stacks are discussed and vary with stacking order and number of layers. Edge (surface) states in graphene depend on the edge termination (zigzag or armchair) and affect the physical properties of nanoribbons. Different types of disorder modify the Dirac equation leading to unusual spectroscopic and transport properties. The effects of electron-electron and electron-phonon interactions in single layer and multilayer graphene are also presented.read more
Citations
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Atomic-scale transport in epitaxial graphene
Shuai-Hua Ji,James B. Hannon,Rudolf M. Tromp,Vasili Perebeinos,Jerry Tersoff,Frances M. Ross +5 more
TL;DR: Measurements show that scattering at two key defects--surface steps and changes in layer thickness--seriously degrades transport in epitaxial graphene films on SiC, demonstrating the strong impact of atomic-scale substrate features on graphene performance.
Journal ArticleDOI
Large intrinsic energy bandgaps in annealed nanotube-derived graphene nanoribbons
T. Shimizu,Junji Haruyama,Daniela C. Marcano,D. V. Kosinkin,James M. Tour,K. Hirose,Kazu Suenaga +6 more
TL;DR: Direct measurements of a large intrinsic energy bandgap of approximately 50 meV in nanoribbons fabricated by high-temperature hydrogen-annealing of unzipped carbon nanotubes suggest a low defect density.
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Probing thermal expansion of graphene and modal dispersion at low-temperature using graphene NEMS resonators
Vibhor Singh,Shamashis Sengupta,Hari S. Solanki,Rohan Dhall,Adrien Allain,Sajal Dhara,Prita Pant,Mandar M. Deshmukh +7 more
TL;DR: In this paper, the authors used suspended graphene electromechanical resonators to study the variation of resonant frequency as a function of temperature and found that thermal expansion of graphene is negative for all temperatures between 300K and 30K.
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Chemical sensitivity of graphene edges decorated with metal nanoparticles.
TL;DR: This work reports the fabrication of nanosensors based on holey reduced graphene oxide (hRGO), which can be visualized as interconnected graphene nanoribbons and proposes that the increased edge-to-plane ratio, oxygen moieties, and Pt nanoparticle decoration were responsible for the observed gas sensing with hRGO nanostructures.
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Tearing Graphene Sheets From Adhesive Substrates Produces Tapered Nanoribbons
TL;DR: A bottom-up investigation of the tearing of graphene sheets from adhesive substrates is reported, including the discovery of the formation of tapered graphene nanoribbons, and it is shown that the resulting nan oribbon geometry is controlled by both the graphene-substrate adhesion energy and by the number of torn graphene layers.
References
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Electric Field Effect in Atomically Thin Carbon Films
Kostya S. Novoselov,Andre K. Geim,Sergey V. Morozov,Da Jiang,Y. Zhang,S. V. Dubonos,Irina V. Grigorieva,A. A. Firsov +7 more
TL;DR: Monocrystalline graphitic films are found to be a two-dimensional semimetal with a tiny overlap between valence and conductance bands and they exhibit a strong ambipolar electric field effect.
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The rise of graphene
TL;DR: Owing to its unusual electronic spectrum, graphene has led to the emergence of a new paradigm of 'relativistic' condensed-matter physics, where quantum relativistic phenomena can now be mimicked and tested in table-top experiments.
Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
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Two-dimensional gas of massless Dirac fermions in graphene
Kostya S. Novoselov,A. K. Geim,Sergey V. Morozov,Da Jiang,Mikhail I. Katsnelson,Irina V. Grigorieva,S. V. Dubonos,A. A. Firsov +7 more
TL;DR: This study reports an experimental study of a condensed-matter system (graphene, a single atomic layer of carbon) in which electron transport is essentially governed by Dirac's (relativistic) equation and reveals a variety of unusual phenomena that are characteristic of two-dimensional Dirac fermions.