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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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Journal ArticleDOI

Elastic Gauge Fields in Weyl Semimetals.

TL;DR: In this paper, it was shown that elastic deformations couple to the electronic degrees of freedom as pseudogauge fields in Weyl semimetals and provided an example of axial gauge fields in three dimensions.
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Unusual Dirac half-metallicity with intrinsic ferromagnetism in vanadium trihalide monolayers

TL;DR: Li et al. as discussed by the authors used density functional theory combined with the self-consistently determined Hubbard U approach (DFT+Uscf) to investigate the stability and magnetic structures of VCl3 and VI3 monolayers.
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Quantum Hall effect based on Weyl orbits in Cd 3 As 2

TL;DR: Evidence of a new type of quantum Hall effect, based on Weyl orbits in nanostructures of the three-dimensional topological semimetal Cd3As2, is reported, which finds that the quantum Hall transport is strongly modulated by the sample thickness.
Journal ArticleDOI

Light-induced anomalous Hall effect in graphene

TL;DR: In this paper, the authors make use of laser-triggered photoconductive switches to measure the ultrafast transport properties of monolayer graphene, driven by a mid-infrared femtosecond pulse of circularly polarized light.
Journal ArticleDOI

A first theoretical realization of honeycomb topological magnon insulator.

TL;DR: In this paper, it was shown that the Dirac points are gapped when the inversion symmetry of the lattice is broken by introducing a next-nearest neighbor Dzyaloshinskii-Moriya (DM) interaction.
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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