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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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Electronics and optoelectronics of two-dimensional transition metal dichalcogenides.

TL;DR: This work reviews the historical development of Transition metal dichalcogenides, methods for preparing atomically thin layers, their electronic and optical properties, and prospects for future advances in electronics and optoelectronics.
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Graphene: Status and Prospects

TL;DR: This review analyzes recent trends in graphene research and applications, and attempts to identify future directions in which the field is likely to develop.
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Topological insulators and superconductors

TL;DR: Topological superconductors are new states of quantum matter which cannot be adiabatically connected to conventional insulators and semiconductors and are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time reversal symmetry.
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Graphene and Graphene Oxide: Synthesis, Properties, and Applications

TL;DR: An overview of the synthesis, properties, and applications of graphene and related materials (primarily, graphite oxide and its colloidal suspensions and materials made from them), from a materials science perspective.
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The chemistry of two-dimensional layered transition metal dichalcogenide nanosheets

TL;DR: This Review describes how the tunable electronic structure of TMDs makes them attractive for a variety of applications, as well as electrically active materials in opto-electronics.
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Journal Article

The Coulomb Impurity Problem in Graphene

TL;DR: It is shown that the Dirac equation, when properly regularized, provides a qualitative and quantitative low energy description of the problem and shows extra features that cannot be described by theDirac equation: namely, bound state formation and strong renormalization of the van Hove singularities.
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Continuum approximation to fullerene molecules

TL;DR: The quantum dynamics of the ions is modified by the appearance of nontrivial Berry's phases, and the qualitative features of fullerenes with elliptical and cylindrical geometries, and minimal surfaces with negative curvature are studied.
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Anomaly of Optical Phonon in Monolayer Graphene

TL;DR: In this paper, the frequency shift and broadening of long-wavelength optical phonons due to interactions with electrons are calculated in a monolayer graphene as a function of the electron density.
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Zero-conductance resonances due to flux states in nanographite ribbon junctions

TL;DR: Electronic transport properties through junctions in nanographite ribbons are investigated using the Landauer approach, which shows a rich structure with sharp dips of zero conductance in the low-energy regime.
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Two-dimensional electron and hole gases at the surface of graphite

TL;DR: In this article, two-dimensional electron and hole gases induced at the surface of graphite by the electric field effect were shown to exhibit mobilities up to 15 000 and 60 million at room and liquid-helium temperatures, respectively.
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