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One of the enticing features common to most of the two-dimensional electronic systems that are currently at the forefront of materials science research is the ability to easily introduce a combination of planar deformations and bending in…

Mesoscale and Nanoscale Physics · Physics 2014-09-29 Gareth Wyn Jones , Vitor M. Pereira

Strains strongly affect the properties of low-dimensional materials, such as graphene. By combining in situ, in operando, reflection high energy electron diffraction experiments with first-principles calculations, we show that large…

Materials Science · Physics 2013-09-03 Nils Blanc , Fabien Jean , Arkady V. Krasheninnikov , Gilles Renaud , Johann Coraux

In crystal growth, surfactants are additive molecules used in dilute amount or as dense, permeable layers to control surface morphologies. Here, we investigate the properties of a strikingly different surfactant: a two-dimensional and…

Real-world samples of graphene often exhibit various types of out-of-plane disorder -- ripples, wrinkles and folds -- introduced at the stage of growth and transfer processes. These complex out-of-plane defects resulting from the interplay…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Yifei Guan , Oleg V. Yazyev

We formulate a nonlinear continuum model of a graphene sheet supported by a flat rigid substrate. The sheet is parallel to the substrate and loaded on a pair of opposite edges. A typical cross-section of the sheet is modeled as an elastica.…

Mesoscale and Nanoscale Physics · Physics 2010-02-04 J. Patrick Wilber

Lattice defects are inevitably present in two-dimensional materials, with direct implications on their physical and chemical properties. We show that the formation energy of a lattice defect in buckled two-dimensional crystals is not…

Materials Science · Physics 2016-07-20 Sandeep K. Jain , Vladimir Juricic , Gerard T. Barkema

Graphene and other recently developed 2D materials exhibit exceptionally strong in-plane stiffness. Relaxation of few-layer structures, either free-standing or on slightly mismatched substrates occurs mostly through out-of-plane bending and…

Numerical Analysis · Mathematics 2016-06-09 Paul Cazeaux , Mitchell Luskin , Ellad B. Tadmor

We report on various nanocarbons formed from a unique structural pattern containing two pentagons, three hexagons and two heptagons, resulting from local rearrange- ments around a divacancy in pristine graphene or nanotubes. This defect can…

Materials Science · Physics 2015-06-03 Jean-Marc Leyssale , G érard L. Vignoles , Antoine Villesuzanne

Two-dimensional materials are popular in design of nanodevices. To improve bending stiffness of few-layered graphene ribbon, the relative sliding between neighboring layers should be avoided by method such as bonding them together. In this…

Materials Science · Physics 2021-05-26 Jiao Shi , Chunwei Hu , Jiaxing Ji , Bo Song

Two-dimensional (2D) materials have been extensively studied in recent years due to their unique properties and great potential for applications. Different types of structural defects could present in 2D materials and have strong influence…

Materials Science · Physics 2016-11-11 Zhangting Wu , Zhenhua Ni

Deformation of material lines drives transport and dissipation in many industrial and natural flows. Here we report an exact Eulerian formula for the stretching rate of a material line, also known as the topological entropy, in a prototype…

Fluid Dynamics · Physics 2024-12-16 Amal Manoharan , Sai Subramanian , Ashwin Joy

Two-dimensional materials were first isolated no longer than ten years ago, and a comprehensive understanding of their properties under non-planar shapes is still being developed. Strictly speaking, the theoretical study of the properties…

Mesoscale and Nanoscale Physics · Physics 2015-06-30 Salvador Barraza-Lopez

Multilayered graphitic materials are not suitable as load-bearers due to their inherent weak interlayer bonding (for example, graphite is a solid lubricant in certain applications). This situation is largely improved when two-dimensional…

Using calculations on defective graphene from first principles, we herein consider the dependence of the properties of the monovacancy of graphene under isotropic strain, with a particular focus on spin moments. At zero strain, the vacancy…

Mesoscale and Nanoscale Physics · Physics 2010-12-16 E. J. G. Santos , S. Riikonen , D. Sanchez-Portal , A. Ayuela

Crumpled paper or drapery patterns are everyday examples of how elastic sheets can respond to external forcing. In this Letter, we study experimentally a novel sort of forcing. We consider a circular flexible plate clamped at its center and…

Soft Condensed Matter · Physics 2013-08-26 Lionel Schouveiler , Christophe Eloy

The presence of wrinkles in Graphene Nanoribbons (GNR) and other two-dimensional (2D) materials significantly alter their mechanical, electronic, optical properties, which can be either beneficial or detrimental. Experimentally, it has been…

Materials Science · Physics 2020-01-06 Jatin Kashyap , Eui-Hyeok Yang , Dibakar Datta

The interplay between different types of disorder and electron-electron interactions in graphene planes is studied by means of Renormalization Group techniques. The low temperature properties of the system are determined by fixed points…

Strongly Correlated Electrons · Physics 2009-11-10 T. Stauber , F. Guinea , M. A. H. Vozmediano

Graphene is a material with potential applications in electric, thermal, and mechanical fields, and has seen significant advancements in growth methods that facilitate large-scale production. However, defects during growth and transfer to…

Materials Science · Physics 2025-12-30 Suyeong Jin , Jung-Wuk Hong , Chiara Daraio , Alexandre F. Fonseca

It is now possible to produce graphene nanoribbons (GNRs) with atomically defined widths. GNRs offer many opportunities for electronic devices and composites, if it is possible to establish the link between edge structure and…

Richness and complexity of Raman spectra related to graphene materials is established from years to decades, with, among others: the well-known G, D, 2D,... bands plus a plethora of weaker bands related to disorder behavior, doping, stress,…