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The recent experimental observations of designer Dirac Fermions and topological phases in molecular graphene are addressed theoretically. Using scattering theory we calculate the electronic structure of finite lattices of scattering centers…

Mesoscale and Nanoscale Physics · Physics 2013-12-18 H. Hammar , P. Berggren , J. Fransson

Topological defects in graphene, dislocations and grain boundaries, are still not well understood despites the considerable number of experimental observations. We introduce a general approach for constructing dislocations in graphene…

Mesoscale and Nanoscale Physics · Physics 2010-05-21 Oleg V. Yazyev , Steven G. Louie

We study the effect of extended charge defects in electronic transport properties of graphene. Extended defects are ubiquitous in chemically and epitaxially grown graphene samples due to internal strains associated with the lattice…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 A. Ferreira , Xiangfan Xu , Chang-Lin Tan , Sukang Bae , N. M. R. Peres , Byung-Hee Hong , Barbaros Ozyilmaz , A. H. Castro Neto

Various types of topological defects in graphene are considered in the framework of the continuum model for long-wavelength electronic excitations, which is based on the Dirac--Weyl equation. The condition for the electronic wave function…

Strongly Correlated Electrons · Physics 2016-10-04 Yu. A. Sitenko , N. D. Vlasii

The recent discovery of graphene has sparked significant interest, which has so far been focused on the peculiar electronic structure of this material, in which charge carriers mimic massless relativistic particle. However, the structure of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jannik C. Meyer , A. K. Geim , M. I. Katsnelson , K. S. Novoselov , T. J. Booth , S. Roth

Here we report a facile method to generate a high density of point defects in graphene on metal foil and show how the point defects affect the electronic structures of graphene layers. Our scanning tunneling microscopy (STM) measurements,…

Mesoscale and Nanoscale Physics · Physics 2013-10-08 Hui Yan , Cheng-Cheng Liu , Ke-Ke Bai , Xuejiao Wang , Mengxi Liu , Wei Yan , Lan Meng , Yanfeng Zhang , Zhongfan Liu , Jia-Cai Nie , Yugui Yao , Lin He

Graphene - a monolayer of carbon atoms densely packed into a hexagonal lattice - has one of the strongest possible atomic bonds and can be viewed as a robust atomic-scale scaffold, to which other chemical species can be attached without…

Defects change essentially not only electronic but also chemical properties of graphene being centers of its chemical activity. Their functionalization is a way to modify electronic and crystal structure of graphene which may be important…

Materials Science · Physics 2009-01-05 D. W. Boukhvalov , M. I. Katsnelson

We study the effect of atomic relaxation on the structure of moir\'e patterns in twisted graphene on graphite and double layer graphene by large scale atomistic simulations. The reconstructed structure can be described as a superlattice of…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 M. M. van Wijk , A. Schuring , M. I. Katsnelson , A. Fasolino

The electronic properties of graphene decorated with Ni, Co, Cu and Zn adatoms is studied with the density functional theory approach. Within the analysis the spin-orbit interaction is taken into account. We focus on the case when the…

Applied Physics · Physics 2019-03-01 Malgorzata Wawrzyniak-Adamczewska

The chapter generalizes results on influence of uniaxial strain and adsorption on the electron states and charge transport or localization in graphene with different configurations of imperfections (point defects): resonant (neutral)…

A formalism is proposed to study the electronic and transport properties of graphene sheets with corrugations as the one recently synthesized. The formalism is based on coupling the Dirac equation that models the low energy electronic…

Strongly Correlated Electrons · Physics 2008-11-26 Alberto Cortijo , María A. H. Vozmediano

Defects in solid commonly limit mechanical performance of the material. However, recent measurements reported that the extraordinarily high strength of graphene is almost retained with the presence of grain boundaries. We clarify in this…

Mesoscale and Nanoscale Physics · Physics 2014-02-06 Zhigong Song , Jian Wu , Zhiping Xu

We study the properties of localized vibrational modes associated with structural defects in a sheet of graphene. For the example of the Stone-Wales defects, one- and two-atom vacancies, many-atom linear vacancies, and adatoms in a…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Alexander V. Savin , Yuri S. Kivshar

Crystallographic defects play a key role in determining the properties of crystalline materials. The new class of two-dimensional materials, foremost graphene, have enabled atomically resolved studies of defects, such as vacancies, grain…

Materials Science · Physics 2015-06-22 Ossi Lehtinen , Nilesh Vats , Gerardo Algara-Siller , Pia Knyrim , Ute Kaiser

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…

Recent transport measurements on thin graphite films grown on SiC show large coherence lengths and anomalous integer quantum Hall effects expected for isolated graphene sheets. This is the case eventhough the layer-substrate epitaxy of…

We have systematically investigated the effect of oxidation on the structural and electronic properties of graphene based on first-principles calculations. Energetically favorable atomic configurations and building blocks are identified,…

Mesoscale and Nanoscale Physics · Physics 2009-08-24 Jia-An Yan , Lede Xian , M. Y. Chou

Graphene, with its unique band structure, mechanical stability, and high charge mobility, holds great promise for next-generation electronics. Nevertheless, its zero band gap challenges the control of current flow through electrical gating,…

Materials Science · Physics 2023-07-13 Tae Soo Kim , Taemin Ahn , Tae-Hwan Kim , Hee Cheul Choi , Han Woong Yeom

Vacancies in graphene present sites of altered chemical reactivity and open possibilities to tune graphene properties by defect engineering. The understanding of chemical reactivity of such defects is essential for successful implementation…