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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 atomic structure, stacking sequences and electronic structure of folded graphene nanoribbons (FGNRs) are investigated by first-principles calculations. It reveals that the common configurations of all FGNRs are racket-like structures…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Wenjin Yin , Yuee Xie , Li-Min Liu , Yuanping Chen , Ru-Zhi Wang , Xiao-Lin Wei , Leo Lau

We demonstrate that free graphene sheet edges can curl back on themselves,reconstructing as nanotubes. This results in lower formation energies than any other non-functionalised edge structure reported to date in the literature. We…

Edge engineering is important for both fundamental research and applications as the device size decreases to nanometer scale. This is especially the case for graphene because a graphene edge shows totally different electronic properties…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Taisuke Ochi , Masahiro Kamada , Takamoto Yokosawa , Kozo Mukai , Jun Yoshinobu , Tomohiro Matsui

The edges of nanoscopic objects determine most of their properties. For this reason the edges of honeycomb carbon--always considered either zigzag- or armchair-like--need special attention. In this report we provide experimental evidence…

Mesoscale and Nanoscale Physics · Physics 2010-11-24 Pekka Koskinen , Sami Malola , Hannu Häkkinen

We present a first-principles study of the migration and recombination of edge defects (carbon adatom and/or vacancy) and their influence on electrical conductance in zigzag graphene nanoribbons (ZGNRs). It is found that at room…

Mesoscale and Nanoscale Physics · Physics 2010-09-10 Jia Li , Zuanyi Li , Gang Zhou , Zhirong Liu , Jian Wu , Bing-Lin Gu , Jisoon Ihm , Wenhui Duan

It is well-known that ferromagnetism can be realized along the zigzag graphene nanoribbon edges, but the armchair graphene nanoribbon edges (AGNEs) are nonmagnetic. Here, we achieve Heisenberg antiferromagnetic spin chains through edge…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Ning Wu , Bang-Gui Liu

In this work we have investigated the mechanical properties and fracture patterns of some graphene nanowiggles (GNWs). Graphene nanoribbons are finite graphene segments with a large aspect ratio, while GNWs are nonaligned periodic…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 R. A. Bizao , T. Botari , D. S. Galvao

Graphene nanoribbons with perfect edges are predicted to exhibit interesting electronic and spintronic properties, notably quantum-confined bandgaps and magnetic edge states. However, graphene nanoribbons produced by lithography have, to…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Xinran Wang , Yijian Ouyang , Liying Jiao , Hailiang Wang , Liming Xie , Justin Wu , Jing Guo , Hongjie Dai

Graphene is a truly two-dimensional atomic crystal with exceptional electronic and mechanical properties. Whereas conventional bulk and thin-film materials have been studied extensively, the key mechanical properties of graphene, such as…

Materials Science · Physics 2010-05-25 Dipanjan Sen , Kostya S. Novoselov , Pedro M. Reis , Markus J. Buehler

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

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

We present the results of ab-initio density functional theory based calculations of the stability and reconstruction of zigzag edges in triangular graphene quantum dots. We show that, while the reconstructed pentagon-heptagon zigzag edge…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Oleksandr Voznyy , Alev Devrim Güçlü , Pawel Potasz , Pawel Hawrylak

Edge atomic configuration often plays an important role in dictating the properties of finite-sized two-dimensional (2D) materials. By performing ab initio calculations, we identify a highly stable zigzag edge of phosphorene, which is the…

Materials Science · Physics 2017-03-29 Junfeng Gao , Xiangjun Liu , Gang Zhang , Yong-Wei Zhang

We investigate the electronic band structure of an undoped graphene armchair nanoribbon. We demonstrate that such nanoribbon always has a gap in its electronic spectrum. Indeed, even in the situations where simple single-electron…

Mesoscale and Nanoscale Physics · Physics 2009-09-30 A. V. Rozhkov , S. Savel'ev , Franco Nori

Hydrogenated graphene edges are assumed to be either armchair, zigzag or a combination of the two. We show that the zigzag is not the most stable fully hydrogenated structure along the <2-1-10> direction. Instead hydrogenated Klein and…

A systematic study is made on geometric, electronic and magnetic properties of one-dimensional graphene nanoribbons using the first-principles calculations. The feature-rich essential properties result from the various orbital…

Mesoscale and Nanoscale Physics · Physics 2022-06-23 Shih-Yang Lin , Ngoc Thanh Thuy Tran , Ming-Fa Lin

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

Magnetic order emerging in otherwise non-magnetic materials as carbon is a paradigmatic example of a novel type of s-p electron magnetism predicted to be of exceptional high-temperature stability. It has been demonstrated that atomic scale…

The deformation and disintegration of a graphene nanoribbon under external electrostatic fields are investigated by first principle quantum mechanical calculations to establish its stability range. The zigzag edges terminated by various…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Haiming Huang , Zhibing Li , H. J. Kreuzer , Weiliang Wang