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The electronic properties of graphene

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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Quantum Algorithms for Quantum Chemistry and Quantum Materials Science.

TL;DR: In this review, a detailed snapshot of current progress in quantum algorithms for ground-state, dynamics, and thermal-state simulation is taken and their strengths and weaknesses for future developments are analyzed.
Journal ArticleDOI

Graphdiyne: a versatile nanomaterial for electronics and hydrogen purification

TL;DR: The applications of graphdiyne, an experimentally available one-atom-thin carbon allotrope, are theoretically extended to nanoelectronics and superior separation membrane for hydrogen purification on a precise level.
Journal ArticleDOI

Control of Thermal and Electronic Transport in Defect-Engineered Graphene Nanoribbons

TL;DR: It is identified that defects close to the edges and relatively small values of edge roughness preserve the quasi-ballistic nature of electronic transport, which presents a route of independently controlling electrical and thermal transport by judicious engineering of the defect distribution.
Journal ArticleDOI

The Physics of ultrafast saturable absorption in graphene

TL;DR: The results strongly suggest that graphene is an excellent atomic layer saturable absorber, far beyond the time resolution of other ultrafast techniques with hundred fs laser pulses.
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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