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We consider plane junctions with graphene electrodes, which are formed by a single-level system ("molecule") placed between the edges of two single-layer graphene half planes. We calculate the edge Green functions of the electrodes and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Dmitry A. Ryndyk , Jan Bundesmann , Ming-Hao Liu , Klaus Richter

In this work, the tridiagonal method is used to distinguish between edges modes and area modes to study the edge sites properties effect on edge localized states of semi-infinite zigzag 2D honeycomb graphene sheet. The results show a…

Mesoscale and Nanoscale Physics · Physics 2011-10-25 Maher Ahmed

We study the influence of different edge types on the electronic density of states of graphene nanostructures. To this end we develop an exact expansion for the single particle Green's function of ballistic graphene structures in terms of…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 J. Wurm , K. Richter , I. Adagideli

The influence of edge vacancies on the working ability of the planar graphene tunnel field-effect transistor (TFET) is studied at various concentrations and distributions (normal, uniform, periodic) of defects. All calculations are…

Materials Science · Physics 2017-08-02 A. A. Glebov , V. L. Katkov , V. A. Osipov

We study electronic states of semi-infinite graphene with a corner edge, focusing on the stability of edge localized states at zero energy. The 60{\deg}, 90{\deg}, 120{\deg} and 150{\deg} corner edges are examined. The 60{\deg} and…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yuji Shimomura , Yositake Takane , Katsunori Wakabayashi

The resonant behaviour of vacancy states in graphene is well-known but some ambiguities remain concerning in particular the nature of the so-called zero energy modes. Other points are not completely elucidated in the case of low but finite…

Materials Science · Physics 2013-08-21 François Ducastelle

Using first-principles plane wave calculations we predict that electronic and magnetic properties of graphene nanoribbons can be affected by defect-induced itinerant states. The band gaps of armchair nanoribbons can be modified by hydrogen…

Mesoscale and Nanoscale Physics · Physics 2008-08-12 M. Topsakal , E. Akturk , H. Sevincli , S. Ciraci

We have carried out ab initio electronic structure calculations on graphane (hydrogenated graphene) with single and double vacancy defects. Our analysis of the density of states reveal that such vacancies induce the mid gap states and…

Materials Science · Physics 2010-02-11 Bhalchandra S. Pujari , D. G. Kanhere

The edges of graphene and graphene like systems can host localized states with evanescent wave function with properties radically different from those of the Dirac electrons in bulk. This happens in a variety of situations, that are…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 J. L. Lado , N. Garcia-Martinez , J. Fernandez-Rossier

The present study explores the edge states in a finite-width graphene ribbon and a semi-infinite geometry subject to a perpendicular magnetic field and an in-plane electric field, applied perpendicular to a zigzag edge. To accomplish this,…

Mesoscale and Nanoscale Physics · Physics 2023-04-17 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

The graphene and phosphorene nanostructures have a big potential application in a large area of actuals research in physics. However, their methods of synthesis still do not allow the production of perfect materials with an intact molecular…

Mesoscale and Nanoscale Physics · Physics 2018-02-23 Jan Smotlacha , Richard Pincak

Thermoelectric properties of finite graphene nanoribbons (GNRs) coupled to metallic electrodes are theoretically studied in the framework of tight-binding model and Green's function approach. When the zigzag sides are coupled to the…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 David Ming Ting Kuo

Motivated by recent experiments and a theoretical analysis of the gap equation for the propagator of Dirac quasiparticles, we assume that the physics underlying the recently observed removal of sublattice and spin degeneracies in graphene…

Mesoscale and Nanoscale Physics · Physics 2008-06-13 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy

We investigate edge properties of a gapful rectangular graphene quantum dot in a staggered potential. In such a system gap states with discrete and closely spaced energy levels exist that are spatially located on the left or right zigzag…

Mesoscale and Nanoscale Physics · Physics 2017-09-29 Y. H. Jeong , S. -R. Eric Yang

We report the existence of zero energy surface states localized at zigzag edges of bilayer graphene. Working within the tight-binding approximation we derive the analytic solution for the wavefunctions of these peculiar surface states. It…

Mesoscale and Nanoscale Physics · Physics 2008-01-16 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos , A. H. Castro Neto , F. Guinea

It is known that zigzag graphene edge is able to support edge states: there is a non-dispersive single-electron band localized near the zigzag edge. However, it is generally believed that no edge states exist near the armchair edge. In this…

Mesoscale and Nanoscale Physics · Physics 2014-01-14 P. A. Maksimov , A. V. Rozhkov , A. O. Sboychakov

We investigate the effects of wedge disclination on charge carriers in circular graphene quantum dots subjected to a magnetic flux. Using the asymptotic solutions of the energy spectrum for large arguments, we approximate the scattering…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Ahmed Bouhlal , Ahmed Jellal , Nurisya Mohd Shah

We present a study of different models of local disorder in graphene. Our focus is on the main effects that vacancies -- random, compensated and uncompensated --, local impurities and substitutional impurities bring into the electronic…

Disordered Systems and Neural Networks · Physics 2008-03-25 Vitor M. Pereira , J. M. B. Lopes dos Santos , A. H. Castro Neto

Graphene clusters consisting of 24 to 150 carbon atoms and hydrogen termination at the zigzag boundary edges have been studied, as well as clusters disordered by vacancy(s). Density Function Theory and Gaussian03 software were used to…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 N. Kheirabadi , A. Shafiekhani

The electronic properties of graphene are influenced by both geometric confinement and strain. We study the electronic structure of in-plane bent graphene nanoribbons, systems where confinement and strain are combined. To understand its…

Mesoscale and Nanoscale Physics · Physics 2015-08-21 S. G. Stuij , P. H. Jacobse , V. Juricic , C. Morais Smith
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