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We study the transport of charge carriers through finite graphene structures. The use of numerical exact kernel polynomial and Green function techniques allows us to treat actual sized samples beyond the Dirac-cone approximation.…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 A. Pieper , G. Schubert , G. Wellein , H. Fehske

Straintronic devices made of carbon-based materials have been pushed up due to the graphene high mechanical flexibility and the possibility of interesting changes in transport properties. Properly designed strained systems have been…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 V. Torres , D. Faria , A. Latgé

Dopants positioned near edges in nanostructured graphene behave differently from bulk dopants. Most notable, the amount of charge transferred to delocalized states (i.e. doping efficiency) depends on position as well as edge chirality. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Thomas Garm Pedersen

Graphene nanoribbons are semiconductor nanostructures with great potentials in nanoelectronics. Their realization particularly with small lateral dimensions below a few nanometers, however, remains challenging. Here we theoretically analyze…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Valentina Tozzini , Vittorio Pellegrini

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 eigenmodes and the vibrational density of states of the ground state configuration of graphene clusters are calculated using atomistic simulations. The modified Brenner potential is used to describe the carbon-carbon interaction and…

Materials Science · Physics 2013-01-29 Sandeep Kumar Singh , F. M. Peeters

An application of quantum size carbon structures--graphenes as electrodes of supercapacitors is studied. A fundamental limit of energy and power density arising from quantum nature of objects due to singularity in graphene density of states…

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

In a recent series of scanning probe experiments, it became possible to visualize local electron flow in a two-dimensional electron gas. In this paper, a Green's function technique is presented that enables efficient calculation of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. Metalidis , P. Bruno

Transport properties of 2D materials especially close to their boundary has received much attention after the successful fabrication of graphene and other fascinating materials afterwards. While most previous work is devoted to the…

Mesoscale and Nanoscale Physics · Physics 2016-12-15 Fanbing Xia , Jian Wang

Based on the calculation and analysis of local Green functions of impurity atoms of low concentration in a two-dimensional graphene lattice, the conditions for the formation and characteristics of local discrete levels with energies lying…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 S. B. Feodosyev , V. A. Sirenko , E. S. Syrkin , E. V. Manzhelii , I. S. Bondar , K. A. Minakova

The correlation of odd electrons in graphene turns out to be significant so that the species should be attributed to correlated ones. This finding profoundly influences the computational strategy addressing it to multireference…

Materials Science · Physics 2012-01-27 E. F. Sheka

A model is proposed to study the electronic structure of slightly curved graphene sheets with an arbitrary number of pentagon-heptagon pairs and Stone-Wales defects based on a cosmological analogy. The disorder induced by curvature produces…

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

We determine the band structure of graphene under strain using density functional calculations. The ab-initio band strucure is then used to extract the best fit to the tight-binding hopping parameters used in a recent microscopic model of…

Mesoscale and Nanoscale Physics · Physics 2009-11-08 R. M. Ribeiro , Vitor M. Pereira , N. M. R. Peres , P. R. Briddon , A. H. Castro Neto

Closed expression for the Green's function of the stationary two-dimensional Schrodinger equation for an electron in group-VI dichalcogenides in the presence of a magnetic field is obtained in terms of the Whittaker functions. The resulting…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Tomasz M Rusin , Wlodek Zawadzki

Defects play a key role in the electronic structure of graphene layers flat or curved. Topological defects in which an hexagon is replaced by an n-sided polygon generate long range interactions that make them different from vacancies or…

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

We propose an extensive report on the simulation of electronic transport in 2D graphene in presence of structural defects. Amongst the large variety of such defects in sp$^2$ carbon-based materials, we focus on the Stone-Wales defect and on…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 Aurelien Lherbier , Simon M. -M. Dubois , Xavier Declerck , Yann-Michel Niquet , Stephan Roche , Jean-Christophe Charlier

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…

Other Condensed Matter · Physics 2009-01-15 A. H. Castro Neto , F. Guinea , N. M. R. Peres , K. S. Novoselov , A. K. Geim

The atomically-precise controlled synthesis of graphene stripes embedded in hexagonal boron nitride opens up new possibilities for the construction of nanodevices with applications in sensing. Here, we explore properties related to…

Materials Science · Physics 2017-08-21 Fabio A. L. de Souza , Wanderla L. Scopel , Rodrigo G. Amorim , Ralph H. Scheicher

We present numerical studies of conduction in graphene nanoribbons with reconstructed edges based on the standard tight-binding model of the graphene and the extended Huckel model of the reconstructed defects. We performed atomic geometry…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 S. Ihnatsenka , G. Kirczenow