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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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Environmental applications of graphene-based nanomaterials.

TL;DR: This critical review assesses the recent developments in the use of graphene-based materials as sorbent or photocatalytic materials for environmental decontamination, as building blocks for next generation water treatment and desalination membranes, and as electrode materials for contaminant monitoring or removal.
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Dirac charge dynamics in graphene by infrared spectroscopy

TL;DR: In this article, an infrared spectromicroscopy study of charge dynamics in graphene integrated in gated devices is presented, which reveals significant departures of the quasiparticle dynamics from predictions made for Dirac fermions in idealized, free-standing graphene.
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Exploring atomic defects in molybdenum disulphide monolayers

TL;DR: A comprehensive joint experiment–theory investigation of point defects in monolayer molybdenum disulphide prepared by mechanical exfoliation, physical and chemical vapour deposition and influence of defects on electronic structure and charge-carrier mobility is predicted by calculation and observed by electric transport measurement.
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Low-energy effective Hamiltonian involving spin-orbit coupling in silicene and two-dimensional germanium and tin

TL;DR: In this article, the authors derived the low energy effective Hamiltonian involving spin-orbit coupling (SOC) for silicene, which is the analog to the graphene quantum spin Hall effect (QSHE) Hamiltonian.
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Mixed-dimensional van der Waals heterostructures

TL;DR: In this paper, a survey of mixed-dimensional van der Waals (vdw) heterostructures is presented, where 2D materials with non-2D materials adhere primarily through non-covalent interactions.
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.
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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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