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Related papers: Graphing and Grafting Graphene: Classifying Finite…

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Triangular and honeycomb lattices are dual to each other -- if we puncture holes into a featureless plane in a regular triangular alignment, the remaining body looks like a honeycomb lattice, and vice versa, if the holes are in a regular…

Mesoscale and Nanoscale Physics · Physics 2018-11-21 Toshikaze Kariyado , Yongcheng Jiang , Hongxin Yang , Xiao Hu

Graphene, being one-atom thick, is extremely sensitive to the presence of adsorbed atoms and molecules and, more generally, to defects such as vacancies, holes and/or substitutional dopants. This property, apart from being directly usable…

Materials Science · Physics 2011-04-08 Rocco Martinazzo , Simone Casolo , Gian Franco Tantardini

Topological defects can affect the physical properties of graphene in unexpected ways. Harnessing their influence may lead to enhanced control of both material strength and electrical properties. Here we present a new class of topological…

Topological defects (e.g. pentagons, heptagons and pentagon-heptagon pairs) have been widely observed in large scale graphene and have been recognized to play important roles in tailoring the mechanical and physical properties of…

Mesoscale and Nanoscale Physics · Physics 2018-03-02 Bo Ni , Teng Zhang , Jiaoyan Li , Xiaoyan Li , Huajian Gao

We demonstrate theoretically and experimentally a topological transition of classical light in "photonic graphene": an array of waveguides arranged in the honeycomb geometry. As the system is uniaxially strained (compressed), the two unique…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Mikael C. Rechtsman , Yonatan Plotnik , Julia M. Zeuner , Alexander Szameit , Mordechai Segev

We study the properties of graphene wormholes in which a short nanotube acts as a bridge between two graphene sheets, where the honeycomb carbon lattice is curved from the presence of 12 heptagonal defects. By taking the nanotube bridge…

Mesoscale and Nanoscale Physics · Physics 2009-11-09 J. Gonzalez , J. Herrero

Conventional three-dimensional crystal lattices are terminated by surfaces, which can demonstrate complex rebonding and rehybridisation, localised strain and dislocation formation. Two dimensional crystal lattices, of which graphene is the…

Mesoscale and Nanoscale Physics · Physics 2012-07-23 Viktoria V. Ivanovskaya , Philipp Wagner , Alberto Zobelli , Irene Suarez-Martinez , Abu Yaya , Christopher P. Ewels

We show that patterned defects can be used to disrupt the sub-lattice symmetry of graphene so as to open up a band gap. This way of modifying graphene's electronic structure does not rely on external agencies, the addition of new elements…

Mesoscale and Nanoscale Physics · Physics 2010-09-09 David J. Appelhans , Zhibin Lin , Mark T. Lusk

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 geometric properties of a lattice can have profound consequences on its band spectrum. For example, symmetry constraints and geometric frustration can give rise to topologicially nontrivial and dispersionless bands, respectively.…

Mesoscale and Nanoscale Physics · Physics 2020-12-25 Christie S. Chiu , Da-Shuai Ma , Zhi-Da Song , B. Andrei Bernevig , Andrew A. Houck

The recent experimental observations of designer Dirac Fermions and topological phases in molecular graphene are addressed theoretically. Using scattering theory we calculate the electronic structure of finite lattices of scattering centers…

Mesoscale and Nanoscale Physics · Physics 2013-12-18 H. Hammar , P. Berggren , J. Fransson

We provide a thorough study of a carbon divacancy, a fundamental but almost unexplored point defect in graphene. Low temperature scanning tunneling microscopy (STM) imaging of irradiated graphene on different substrates enabled us to…

We present a new way of nano-engineering graphene using defect domains. These regions have ring structures that depart from the usual honeycomb lattice, though each carbon atom still has three nearest neighbors. A set of stable domain…

Materials Science · Physics 2010-06-01 Mark T. Lusk , L. D. Carr

A crystal structure with a point defect typically returns to its ideal local structure upon moving a few bond lengths away from the defect; topological defects such as dislocations or disclinations also heal rapidly in this regard. Here we…

Materials Science · Physics 2025-04-07 Benjamin N Katz , Vincent Crespi

Graphene lacks an intrinsic band-gap, which limits its use in electronic applications. Here we demonstrate that periodic arrays of topological defects can open and control a band-gap in a predictable manner governed by defect spacing and…

Graphene outstanding properties directly come from its pecular electronic structure and thus from the honeycomb lattice symmetry. The way interaction with the substrate impact this lattice is of primary importance. This is peculiarly true…

Materials Science · Physics 2007-12-21 F. Varchon , P. Mallet , J. -Y. Veuillen , L. Magaud

The influence of a topological defect in graphene on the ground state of electronic quasiparticle excitations is studied in the framework of the long-wavelength continuum model originating in the tight-binding approximation for the nearest…

Strongly Correlated Electrons · Physics 2016-10-06 Yu. A. Sitenko , N. D. Vlasii

A polycrystalline graphene consists of perfect domains tilted at angle {\alpha} to each other and separated by the grain boundaries (GB). These nearly one-dimensional regions consist in turn of elementary topological defects, 5-pentagons…

Materials Science · Physics 2010-09-16 Yuanyue Liu , Boris I. Yakobson

Flat bands are of significant interest due to their potential for energy confinement and their ability to enable strongly correlated physics. Incorporating topology into flatband systems further enhances flatband mode robustness against…

Optics · Physics 2025-04-01 Yongsheng Liang , Jingyan Zhan , Shiqi Xia , Daohong Song , Zhigang Chen

Defects in graphene, such as vacancies or adsorbents attaching themselves to carbons, may preferentially take positions on one of its two sublattices, thus breaking the global lattice symmetry. This leads to opening a gap in the electronic…

Materials Science · Physics 2010-05-28 V. V. Cheainov , O. Syljuasen , B. L. Altshuler , V. I. Fal'ko
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