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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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Bandgap opening by patterning graphene.

TL;DR: The analytic rule of gap-opening by patterning graphene is derived, which indicates that if a modified graphene is a semiconductor, its two corresponding carbon nanotubes, whose chiral vectors equal graphene's supercell lattice vectors, are both semimetals.
Journal ArticleDOI

Third-harmonic generation in ultrathin films of MoS2.

TL;DR: The demonstrated third-harmonic generation can be used for nonlinear optical identification of MoS2 atomic layers with high contrast, better distinguishing power of multilayers, and less restrictions to substrate selections.
Journal ArticleDOI

A guide to the design of electronic properties of graphene nanoribbons.

TL;DR: In this paper, the authors present a pedagogical overview of the various degrees of freedom in the atomic structure and interactions that researchers can use to tailor the electronic structure of these materials.
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MXene Electrode for the Integration of WSe2 and MoS2 Field Effect Transistors

TL;DR: In this article, the hole barrier between WSe2 and Ti2C(OH)xFy is estimated to be ≈ 0.23 eV and the electron barrier between the MoS2 band and Ti 2C(O(OH), which is a member of the MXene family, was determined to extract their Schottky barrier heights.
Journal ArticleDOI

Graphene: An impermeable or selectively permeable membrane for atomic species?

TL;DR: In this article, the authors used density-functional theory calculations to examine this property with respect to prototype atomic species and found that hydrogen and oxygen atoms have, indeed, prohibitively large barriers (4.2 and 5.5 eV) for permeation through a defect-free graphene layer.
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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