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Strain has been extensively employed to tailor graphene's properties and has emerged as a powerful tool for engineering gauge fields and exploring fundamental phenomena in artificial platforms like photonic graphene. Here we discover that,…

Optics · Physics 2025-09-26 Yongsheng Liang , Shiqi Xia , Daohong Song , Hrvoje Buljan , Zhigang Chen

By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy , C. M. Wyenberg

Edge states in biased bilayer graphene in a magnetic field are studied within the four-band continuum model. The analysis is done for the semi-infinite graphene plane and for the graphene ribbon of a finite width, in the cases of zigzag and…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 P. K. Pyatkovskiy

An interesting property of zigzag graphene nanoribbons is the presence of edge states which are extended along its borders but localized in the transverse direction. We show that because of this property, electron transport through an…

Mesoscale and Nanoscale Physics · Physics 2009-09-02 Gonzalo Usaj

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 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 study the electronic states of narrow graphene ribbons (``nanoribbons'') with zigzag and armchair edges. The finite width of these systems breaks the spectrum into an infinite set of bands, which we demonstrate can be quantitatively…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Brey , H. A. Fertig

Zigzag edges of graphene nanostructures host localized electronic states that are predicted to be spin-polarized. However, these edge states are highly susceptible to edge roughness and interaction with a supporting substrate, complicating…

We investigate electronic transport in gapped bilayer graphene (gBLG) devices. For certain edge terminations -typically a combination of zigzag, armchair, and bearded types - we observe edge state conduction within the band gap, which is…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Jesús Arturo Sánchez-Sánchez , Thomas Stegmann

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

Edge structure plays an essential role in the nature of electronic states in graphene nanoribbons. By focusing on the interplay between this feature and non-trivial topology in the domain of the Dirac confinement problem, this paper…

Mesoscale and Nanoscale Physics · Physics 2017-07-24 J. F. O de Souza , Claudio Furtado

We investigate the edge-state magnetism of graphene nanoribbons using projective quantum Monte Carlo simulations and a self-consistent mean-field approximation of the Hubbard model. The static magnetic correlations are found to be short…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 Hélène Feldner , Zi Yang Meng , Thomas C. Lang , Fakher F. Assaad , Stefan Wessel , Andreas Honecker

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

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

Nano-carbon materials are investigated intensively. In this paper, the edge-state in nanographene materials with zigzag edges is studied theoretically. In particular, while the inter-layer interactions are considered, we prove that edge…

Materials Science · Physics 2012-06-15 Kikuo Harigaya

Based on atomistic simulations, the nonlinear elastic properties of monolayer graphene nanoribbons under quasistatic uniaxial tension are predicted, emphasizing the effect of edge structures (armchair and zigzag, without and with hydrogen…

Mesoscale and Nanoscale Physics · Physics 2010-07-21 Qiang Lu , Rui Huang

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

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

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…

Change of the bonding environment at the free edges of graphene monolayer leads to excess edge energy and edge force, depending on the edge morphology (zigzag or armchair). By using a reactive empirical bond-order potential and atomistic…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Qiang Lu , Rui Huang
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