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.read more
Citations
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Electric Field Tunable Correlated States and Magnetic Phase Transitions in Twisted Bilayer-Bilayer Graphene
Yuan Cao,Daniel Rodan-Legrain,Oriol Rubies-Bigorda,Jeong Min Park,Kenji Watanabe,Takashi Taniguchi,Pablo Jarillo-Herrero +6 more
TL;DR: In this paper, Bernal-stacked bilayer bilayer-bilayer graphene (TBBG) was used for tuning and controlling the strength of electron-electron interactions.
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Nanostructured Aptamer-Functionalized Black Phosphorus Sensing Platform for Label-Free Detection of Myoglobin, a Cardiovascular Disease Biomarker.
Vinod Kumar,Jack R. Brent,Munish Shorie,Harmanjit Kaur,Gaganpreet Chadha,Andrew G. Thomas,Edward A. Lewis,A. P. Rooney,Lan Nguyen,Xiang Li Zhong,M. Grace Burke,Sarah J. Haigh,Alex S. Walton,Paul D. McNaughter,Aleksander A. Tedstone,Nicky Savjani,Christopher A. Muryn,Paul O'Brien,Ashok K. Ganguli,David J. Lewis,Priyanka Sabherwal +20 more
TL;DR: The electrochemical detection of the redox active cardiac biomarker myoglobin using aptamer-functionalized black phosphorus nanostructured electrodes by measuring direct electron transfer is reported, opening up avenues to bedside technologies for multiplexed diagnosis of cardiovascular diseases in complex human samples.
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Topological insulators and Mott physics from the Hubbard interaction
Stephan Rachel,Karyn Le Hur +1 more
TL;DR: In this article, the authors investigated the Hubbard model on the honeycomb lattice with intrinsic spin-orbit interactions as a paradigm for two-dimensional topological band insulators in the presence of interactions.
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Valley filter in strain engineered graphene
TL;DR: In this article, the authors proposed a simple and robust device for producing valley polarized current in graphene, which consists of two distinct components; a region of uniform uniaxial strain, adjacent to an out-of-plane magnetic barrier configuration formed by patterned ferromagnetic stripes.
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Clar’s Theory, π-Electron Distribution, and Geometry of Graphene Nanoribbons
TL;DR: In this paper, the authors use density functional theory to obtain the equilibrium atomic positions, simulated scanning tunneling microscopy (STM) images, edge energies, band gaps, and edge-induced strains of graphene ribbons that they analyze in terms of Clar formulas.
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.
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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
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.