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Related papers: Stabilization mechanism of edge states in graphene

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By considering the continuous model for graphene, we analytically study a special gauge field for the edge state. The gauge field explains the properties of the edge state such as the existence only on the zigzag edge, the partial…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ken-ichi Sasaki , Shuichi Murakami , Riichiro Saito

The edge reconstruction of zigzag graphene nanoribbons to a stable line of alternatively fused seven and five membered rings with hydrogen passivation has been studied within density functional theory with both localized and extended basis…

Materials Science · Physics 2009-11-17 Sudipta Dutta , Swapan K. Pati

We report the existence of zero energy surface states localized at zigzag edges of $N$-layer graphene. Working within the tight-binding approximation, and using the simplest nearest-neighbor model, we derive the analytic solution for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos

We prescribe general rules to predict the existence of edge states and zero-energy flat bands in graphene nanoribbons and graphene edges of arbitrary shape. No calculations are needed. For the so-called {\it{minimal}} edges, the projection…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 W. Jaskolski , A. Ayuela , M. Pelc , H. Santos , L. Chico

The energy spectrum and electronic density of states (DOS) of zigzag graphene nanoribbons with edges reconstructed with topological defects are investigated within the tight-binding method. In case of the Stone-Wales zz (57) edge the…

Mesoscale and Nanoscale Physics · Physics 2015-11-11 Richard Pincak , Jan Smotlacha , Vladimir A. Osipov

We determine the stability, the geometry, the electronic and magnetic structure of hydrogen-terminated graphene-nanoribbons edges as a function of the hydrogen content of the environment by means of density functional theory.…

Materials Science · Physics 2008-08-28 Tobias Wassmann , Ari P. Seitsonen , A. Marco Saitta , Michele Lazzeri , Francesco Mauri

We critically discuss the stability of edge states and edge magnetism in zigzag edge graphene nanoribbons (ZGNRs). We point out that magnetic edge states might not exist in real systems, and show that there are at least three very natural…

Materials Science · Physics 2013-03-06 Jens Kunstmann , Cem Özdoğan , Alexander Quandt , Holger Fehske

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

We present a novel comprehensive first-principles theoretical study of the electronic properties and relative stabilities of edge-oxidized zigzag graphene nanoribbons. The oxidation schemes considered include hydroxyl, carboxyl, ether, and…

Materials Science · Physics 2015-05-13 Oded Hod , Veronica Barone , Juan E. Peralta , Gustavo E. Scuseria

Electronic structures of the zigzag bilayer graphite nanoribbons(Z-BGNR) with various ribbon width $N$ are studied within the tight binding approximation. Neglecting the inter-layer hopping amplitude $\gamma_4$, which is an order of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jun-Won Rhim , Kyungsun Moon

The electronic structure of the zig-zag bilayer strip is analyzed. The electronic spectra of the bilayer strip is computed. The dependence of the edge state band flatness on the bilayer width is found. The density of states at the Fermi…

Materials Science · Physics 2015-06-04 M. Pudlak , R. Pincak

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

We analyze the single particle states at the edges of disordered graphene quantum dots. We show that generic graphene quantum dots support a number of edge states proportional to circumference of the dot over the lattice constant. Our…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 M. Wimmer , A. R. Akhmerov , F. Guinea

The stability of graphene nanoribbons in the presence of typical atmospheric molecules is systematically investigated by means of density functional theory. We calculate the edge formation free energy of five different edge configurations…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. Vanin , J. Gath , K. S. Thygesen , K. W. Jacobsen

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

Density functional theory calculations are used to investigate the electronic structures of localized states at reconstructed armchair graphene edges. We consider graphene nanoribbons with two different edge types and obtain the energy band…

Mesoscale and Nanoscale Physics · Physics 2013-07-03 Changwon Park , Jisoon Ihm , Gunn Kim

Edge states are one important ingredient to understand transport properties of graphene nanoribbons. We study experimentally the existence and the internal structure of edge states under uniaxial strain of the three main edges: zigzag,…

Mesoscale and Nanoscale Physics · Physics 2014-12-10 Matthieu Bellec , Ulrich Kuhl , Gilles Montambaux , Fabrice Mortessagne

In this article, we study zigzag graphene nanoribbons with edges reconstructed with Stone-Wales defects, by means of an empirical (first-neighbor) tight-binding method, with parameters determined by ab-initio calculations of very narrow…

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

Vibrational properties of graphene nanoribbons are examined with density functional based tight-binding method and non-resonant bond polarization theory. We show that the recently discovered reconstructed zigzag edge can be identified from…

Materials Science · Physics 2009-11-13 S. Malola , H. Häkkinen , P. Koskinen
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