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Related papers: Graphing and Grafting Graphene: Classifying Finite…

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Deviations from the perfect atomic arrangements in crystals play an important role in affecting their properties. Similarly, diffusion of such deviations is behind many microstructural changes in solids. However, observation of point defect…

Materials Science · Physics 2014-07-28 Jani Kotakoski , Clemens Mangler , Jannik C. Meyer

This work presents a systematic review of the feature-rich essential properties in graphene-related systems using the first-principles method. The geometric and electronic properties are greatly diversified by the number of layers, the…

Chemical Physics · Physics 2017-02-14 Ngoc Thanh Thuy Tran , Shih-Yang Lin , Chiun-Yan Lin , Ming-Fa Lin

Chemical, mechanical, thermal and/or electronic properties of bulk or low-dimensional materials can be engineered by introducing structural defects to form novel functionalities. When using particles irradiation, these defects can be…

Materials Science · Physics 2022-02-07 L. Basta , A. Moscardini , S. Veronesi , F. Bianco

Natural and artificial honeycomb lattices are of great interest because the band structure of these lattices, if properly constructed, contains a Dirac point. Such lattices occur naturally in the form of graphene and carbon nanotubes. They…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Maxwell Porter , L. E. Reichl

Interlayer coupling in rotationally faulted graphene multilayers breaks the local sublattice-symmetry of the individual layers. We present a theory of this mechanism, which reduces to an effective Dirac model with space-dependent mass in an…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Kindermann , P. N. First

Graphene, with its quantum Hall topological (Chern) number reflecting the massless Dirac particle, is shown to harbor yet another topological quantum number. This is obtained by combining Streda's general formula for the polarization…

Mesoscale and Nanoscale Physics · Physics 2015-03-30 Hideo Aoki , Yasuhiro Hatsugai

We develop an analytical scattering formalism for computing the transmittance through periodic defect lines within the tight-binding model of graphene. We first illustrate the method with a relatively simple case, the pentagon-only defect…

Mesoscale and Nanoscale Physics · Physics 2013-07-17 J. N. B. Rodrigues , N. M. R. Peres , J. M. B. Lopes dos Santos

Graphane is a two-dimensional system consisting of a single planar layer of fully saturated (sp$^3$ hybridization) carbon atoms with H atoms attached to them in an alternating pattern (up and down with relation to the plane defined by the…

Materials Science · Physics 2009-03-03 Sergio B. Legoas , Pedro A. S. Autreto , Marcelo Z. S. Flores , Douglas S. Galvao

Graphene - a monolayer of carbon atoms densely packed into a hexagonal lattice - has one of the strongest possible atomic bonds and can be viewed as a robust atomic-scale scaffold, to which other chemical species can be attached without…

Graphene, dubbed as a two-dimensional material represents the topological concept of "surface" embedded in a three-dimensional space. This regard enables to employ existing theories/tools in topology to understand different…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 Hadi Arjmandi-Tash , Alexander Kloosterman , Gregory F. Schneider

The properties of polycrystalline materials are often dominated by the size of their grains and by the atomic structure of their grain boundaries. These effects should be especially pronounced in 2D materials, where even a line defect can…

Topology is familiar mostly from mathematics, but also natural sciences have found its concepts useful. Those concepts have been used to explain several natural phenomena in biology and physics, and they are particularly relevant for the…

Mesoscale and Nanoscale Physics · Physics 2013-06-04 Stas M. Avdoshenko , Pekka Koskinen , Haldun Sevincli , Alexey Popov , Claudia Rocha

We show that, if graphene is subjected to the potential from an external superlattice, a band gap develops at the Dirac point provided the superlattice potential has broken inversion symmetry. As a numerical example, we calculate the band…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Rakesh P Tiwari , D. Stroud

A high-frequency asymptotic scheme is generated that captures the motion of waves within discrete hexagonal and honeycomb lattices by creating continuum homogenised equations. The accuracy of these effective medium equations in describing…

Materials Science · Physics 2013-11-01 Mehul Makwana , Richard Craster

We investigate graphene superlattices of nitrogen and boron substitutional defects and by using symmetry arguments and electronic structure calculations we show how such superlattices can be used to modify graphene band structure.…

Materials Science · Physics 2016-11-25 Simone Casolo , Rocco Martinazzo , Gian Franco Tantardini

Multiple gaps in the tight-binding band of a pentagonal lattice are found. Unlike the Cairo pentagonal lattice this lattice is made of irregular pentagons with arms of different lengths. The tight-binding Hamiltonian is exactly solved to…

Mesoscale and Nanoscale Physics · Physics 2017-02-28 Susobhan Paul , Asim Kumar Ghosh

We directly visualize the three-dimensional (3D) geometry and dynamics of silicon impurities in graphene as well as their dynamics by aberration-corrected scanning transmission electron microscopy. By acquiring images when the sample is…

Graphene's intrinsically corrugated and wrinkled topology fundamentally influences its electronic, mechanical, and chemical properties. Experimental techniques allow the manipulation of pristine graphene and the controlled production of…

Materials Science · Physics 2025-09-09 Fabian L. Thiemann , Patrick Rowe , Andrea Zen , Erich A. Müller , Angelos Michaelides

Graphene is a model system for the study of electrons confined to a strictly two-dimensional layer1 and a large number of electronic phenomena have been demonstrated in graphene, from the fractional2, 3 quantum Hall effect to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Jian-Hao Chen , W. G. Cullen , E. D. Williams , M. S. Fuhrer

We investigate the electronic structure induced by wedge-disclinations (conical singularities) in a honeycomb lattice model realizing Chern numbers $\gamma=\pm 1$. We establish a correspondence between the bound state of (i) an isolated…

Mesoscale and Nanoscale Physics · Physics 2013-01-24 Andreas Rüegg , Chungwei Lin