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.read more
Citations
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Flatbands and Emergent Ferromagnetic Ordering in Fe 3 Sn 2 Kagome Lattices
Zhiyong Lin,Jin-Ho Choi,Qiang Zhang,Wei Qin,Seho Yi,Pengdong Wang,Lin Li,Yi-Fan Wang,Hui Zhang,Zhe Sun,Laiming Wei,Shengbai Zhang,Shengbai Zhang,Tengfei Guo,Tengfei Guo,Tengfei Guo,Qingyou Lu,Qingyou Lu,Qingyou Lu,Jun-Hyung Cho,Jun-Hyung Cho,Changgan Zeng,Zhenyu Zhang +22 more
TL;DR: The first experimental observation of a striking flatband near the Fermi level in the layered Fe_{3}Sn_{2} crystal consisting of two Fe kagome lattices separated by a Sn spacing layer is presented.
Journal ArticleDOI
A Tutorial on Nonlinear Photonic Applications of Carbon Nanotube and Graphene
TL;DR: One and two dimensional forms of carbon, Carbon nanotube and graphene, have interesting and useful not only electronic but also photonic properties as discussed by the authors, and we refer the reader to the tutorial.
Journal ArticleDOI
Spin-orbit coupling, quantum dots, and qubits in monolayer transition metal dichalcogenides
TL;DR: In this paper, an effective Hamiltonian was derived for the conduction band of monolayer transition metal dichalcogenides (TMDC) in the presence of perpendicular electric and magnetic fields.
Journal ArticleDOI
Strain-induced pseudomagnetic field for novel graphene electronics
Tony Low,Francisco Guinea +1 more
TL;DR: It is found that elastic backscattering at rough edges leads to the formation of well-defined transport gaps of order 100 meV under moderate maximum strain of 10% and a way of inducing bulk valley polarization which is insensitive to short-range scattering.
Journal ArticleDOI
Electronic properties of a biased graphene bilayer
Eduardo V. Castro,Eduardo V. Castro,Kostya S. Novoselov,Sergey V. Morozov,Nuno M. R. Peres,J. M. B. Lopes dos Santos,Johan Nilsson,Francisco Guinea,Andre K. Geim,A. H. Castro Neto +9 more
TL;DR: Analysis of experimental results regarding the electrical noise and cyclotron resonance suggests that the tight-binding approximation can be seen as a good starting point for understanding the electronic properties of graphene bilayer.
References
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Journal ArticleDOI
Electric Field Effect in Atomically Thin Carbon Films
Kostya S. Novoselov,Andre K. Geim,Sergey V. Morozov,Da Jiang,Y. Zhang,S. V. Dubonos,Irina V. Grigorieva,A. A. Firsov +7 more
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
Kostya S. Novoselov,A. K. Geim,Sergey V. Morozov,Da Jiang,Mikhail I. Katsnelson,Irina V. Grigorieva,S. V. Dubonos,A. A. Firsov +7 more
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.