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Motivated by the recently observed sublattice asymmetry of substitutional nitrogen impurities in CVD grown graphene, we show, in a mathematically transparent manner, that oscillations in the local density of states driven by the presence of…

Mesoscale and Nanoscale Physics · Physics 2014-11-13 James A. Lawlor , Paul D. Gorman , Stephen R. Power , Claudionor G. Bezerra , Mauro S. Ferreira

We show that Friedel oscillations (FO) in grapehene are strongly affected by the chirality of electrons in this material. In particular, the FO of the charge density around an impurity show a faster, $1/r^3$, decay than in conventional 2D…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vadim V. Cheianov , Vladimir I. Fal'ko

In this review we highlight recent theoretical and experimental work on sublattice asymmetric doping of impurities in graphene, with a focus on substitutional Nitrogen dopants. It is well known that one current limitation of graphene in…

Mesoscale and Nanoscale Physics · Physics 2014-11-13 James A. Lawlor , Mauro S. Ferreira

We present exact analytical and numerical results for the electronic spectra and the Friedel oscillations around a substitutional impurity atom in a graphene lattice. A chemical dopant in graphene introduces changes in the on-site potential…

When immersed in a see of cold electrons, local impurities give rise to density modulations known as Friedel oscillations. In spite of the generality of this phenomenon, the exact shape of these modulations is usually computed only for…

Strongly Correlated Electrons · Physics 2016-05-12 Emanuele G. Dalla Torre , David Benjamin , Yang He , David Dentelski , Eugene Demler

We study interference patterns and Friedel oscillations (FO) due to scattering from two or more localized impurities and scattering from extended inhomogeneities in the two-dimensional lattice systems of interacting fermions. Correlations…

Strongly Correlated Electrons · Physics 2022-07-13 Banhi Chatterjee , Jan Skolimowski , Krzysztof Byczuk

Defects in graphene, such as vacancies or adsorbents attaching themselves to carbons, may preferentially take positions on one of its two sublattices, thus breaking the global lattice symmetry. This leads to opening a gap in the electronic…

Materials Science · Physics 2010-05-28 V. V. Cheainov , O. Syljuasen , B. L. Altshuler , V. I. Fal'ko

Friedel oscillations (FO) of electron density caused by a delta-like neutral impurity in two-dimensional (2D) systems in a magnetic field are calculated. Three 2D cases are considered: free electron gas, monolayer graphene and group-VI…

Mesoscale and Nanoscale Physics · Physics 2018-05-16 Tomasz M. Rusin , Wlodek Zawadzki

We propose a unique way to control both bandgap and the magnetic properties of nanoscale graphene, which might prove highly beneficial for application in nanoelectronic and spintronic devices. We have shown that chemical doping by nitrogen…

Materials Science · Physics 2015-05-13 Julia Berashevich , Tapash Chakraborty

We study the Friedel oscillations induced by a localized impurity in anisotropic graphene. We focus on the limit when the two inequivalent Dirac points merge. We find that in this limit the Friedel oscillations manifest very peculiar…

Mesoscale and Nanoscale Physics · Physics 2016-06-07 Clément Dutreix , Liviu Bilteanu , Anu Jagannathan , Cristina Bena

Among the different strategies used to induce the opening of a band gap in graphene, one common practice is through chemical doping. While a gap may me opened in this way, disorder-induced scattering is an unwanted side-effect that impacts…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 James A Lawlor , Claudia G Rocha , Vanessa Torres , Andrea Latgé , Mauro Ferreira

Electronic and transport properties of Graphene, a one-atom thick crystalline material, are sensitive to the presence of atoms adsorbed on its surface. An ensemble of randomly positioned adatoms, each serving as a scattering center, leads…

Materials Science · Physics 2015-05-13 V. V. Cheianov , V. I. Fal'ko , O. Syljuasen , B. L. Altshuler

Renowned for its sensitivity to detect the presence of numerous substances, graphene is an excellent chemical sensor. Unfortunately, which general features a dopant must have in order to enter the list of substances detectable by graphene…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 John Duffy , James A Lawlor , Caio Lewenkopf , Mauro S Ferreira

Friedel oscillation is a well-known wave phenomenon, which represents the oscillatory response of electron waves to imperfection. By utilizing the pseudospin-momentum locking in gapless graphene, two recent experiments demonstrate the…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Shu-Hui Zhang , Jin Yang , Ding-Fu Shao , Zhenhua Wu , Wen Yang

We report on infrared spectroscopy of bilayer graphene integrated in gated structures. We observed a significant asymmetry in the optical conductivity upon electrostatic doping of electrons and holes. We show that this finding arises from a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

Graphitic nitrogen-doped graphene is an excellent platform to study scattering processes of massless Dirac fermions by charged impurities, in which high mobility can be preserved due to the absence of lattice defects through direct…

Mesoscale and Nanoscale Physics · Physics 2017-06-05 Jiayu Li , Li Lin , Dingran Rui , Qiucheng Li , Jincan Zhang , Ning Kang , Yanfeng Zhang , Hailin Peng , Zhongfan Liu , H. Q. Xu

Two opposite chiralities of Dirac electrons in a 2D graphene sheet modify the Friedel oscillations strongly: electrostatic potential around an impurity in graphene decays much faster than in 2D electron gas. At distances $r$ much larger…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Ke Wang , M. E. Raikh , T. A. Sedrakyan

Graphene is an attractive material for microelectronics applications, given such favourable electrical characteristics as high mobility, high operating frequency, and good stability. If graphene is to be implemented in electronic devices on…

Materials Science · Physics 2019-06-14 B. C. Worley , S. Kim , T. J. Ha , S. Park , R. Haws , P. Rossky , D. Akinwande , A. Dodabalapur

This work examines the effect of disclinations on the scattering of quasipaticles in graphene with the presence of a topological defect. Using the tight-binding method, the electronic properties of graphene with disclination are described,…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 M. J. Bueno , G. Q. Garcia , A. M. de M. Carvalho , C. Furtado

Recent experimental observations have reported that, rather than randomly distributed, nitrogen atoms may prefer to be located on one of the two sub-lattices of graphene. It has been suggested that such a preference may present a possible…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 James A. Lawlor , Mauro S. Ferreira
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