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The electronic properties of graphene

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TLDR
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.

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A primer on surface plasmon-polaritons in graphene

TL;DR: In this paper, the properties of surface plasmons-polaritons in graphene and four possible ways of coupling electromagnetic radiation in the terahertz (THz) spectral range to this type of surface waves were discussed.
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Materials perspective on Casimir and van der Waals interactions

TL;DR: In this article, a review summarizes recent progress in this field with emphasis on theoretical and computational developments and their applications to materials including molecular structures, Dirac-like systems, optical metamaterials, composites with nontrivial boundary conditions, and biological matter.
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Bandgap opening in oxygen plasma-treated graphene.

TL;DR: The opening of a bandgap in graphene is explained in terms of functionalization of its pristine lattice with oxygen atoms, that is, on the extent of the bandgap opening upon increased functionalisation density.
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van der Waals heterostructures combining graphene and hexagonal boron nitride

TL;DR: A detailed overview of the physics and device properties of van der Waals heterostructures consisting of graphene and hexagonal boron nitride can be found in this article, including the integer and fractional quantum Hall effects, novel plasmonic states and emergent moire superlattices.
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Conductive two-dimensional metal-organic frameworks as multifunctional materials.

TL;DR: The progress in the development of 2D conductive MOFs with emphasis on synthetic modularity, device integration strategies, and multifunctional properties is summarized.
References
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Journal ArticleDOI

Electric Field Effect in Atomically Thin Carbon Films

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.
Journal ArticleDOI

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.
Journal ArticleDOI

Two-dimensional gas of massless Dirac fermions in graphene

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.
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