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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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Ferromagnetic Mott state in Twisted Graphene Bilayers at the Magic Angle.

TL;DR: It is suggested that the system is an exotic ferromagnetic Mott insulator, with well-defined experimental signatures, after calculating the maximally localized superlattice Wannier wave functions.
Journal ArticleDOI

How Close Can One Approach the Dirac Point in Graphene Experimentally

TL;DR: In this paper, the authors describe electron transport in suspended devices with carrier mobilities of several 106 cm2 V1 s−1 and with the onset of Landau quantization occurring in fields below 5 mT.
Journal ArticleDOI

Electron transport properties of atomic carbon nanowires between graphene electrodes.

TL;DR: In this article, the electron transport properties of linear atomic carbon wire−graphene junctions were investigated by combining nonequilibrium Green's function with density functional theory, and it was shown that for short wires, linear ballistic transport is observed in wires consisting of odd numbers of carbon atoms but not in those consisting of even numbers of atoms.
Journal ArticleDOI

Graphen, das neue zweidimensionale Nanomaterial

TL;DR: In this paper, the authors discuss Synthese, Charakterisierung, Struktur, and Eigenschaften of Graphen-Doppel-and -Mehrfachschichten.
Journal ArticleDOI

Two-Dimensional Tetragonal TiC Monolayer Sheet and Nanoribbons

TL;DR: The TiC sheet exhibits a novel zigzag-shaped buckling structure with all atoms being quasiplanar tetracoordinate, as favored by strong in-plane C2p-Ti3d bonding and synergetic out-of-plane electronic delocalization, thus promising for wide applications in nanoelectronics.
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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