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Molecular-crystalline duality of graphene ensures a tight alliance of its physical and chemical natures, each of which is unique in its own way. The paper examines the physical-chemical harmony and/or confrontation in terms of the molecular…

Mesoscale and Nanoscale Physics · Physics 2013-12-05 Elena F. Sheka

The presence of defects such as vacancies in solids has prominent effects on their mechanical properties. It not only modifies the stiffness and strength of materials, but also changes their morphologies. The latter effect is extremely…

Mesoscale and Nanoscale Physics · Physics 2015-08-13 Zhigong Song , Zhiping Xu

Understanding the effect of electric fields on the physical and chemical properties of two-dimensional (2D) nanostructures is instrumental in the design of novel electronic and optoelectronic devices. Several of those properties are…

Mesoscale and Nanoscale Physics · Physics 2014-08-19 Elton J. G. Santos

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…

Graphene research is currently one of the largest fields in condensed matter. Due to its unusual electronic spectrum with Dirac-like quasiparticles, and the fact that it is a unique example of a metallic membrane, graphene has properties…

Materials Science · Physics 2010-04-22 Antonio H. Castro Neto

Thermal properties of graphene display peculiar characteristics associated to the two-dimensional nature of this crystalline membrane. These properties can be changed and tuned in the presence of applied stresses, both tensile and…

Materials Science · Physics 2018-06-07 Carlos P. Herrero , Rafael Ramirez

Only one atom thick and not inclined to lattice defects, graphene represents the ultimate crystalline membrane. However, its structure reveals unique features not found in other crystalline membranes, in particular the existence of ripples…

Materials Science · Physics 2016-09-08 Doron Gazit

Continuum modeling of free-standing graphene monolayer, viewed as a two dimensional 2-lattice, requires specification of the components of the shift vector that acts as an auxiliary variable. If only in-plane motions are considered the…

Materials Science · Physics 2018-01-17 D. Sfyris , E. N. Koukaras , N. Pugno , C. Galiotis

In this work we will focus on the effects produced by topological disorder on the electronic properties of a graphene plane. The presence of this type of disorder induces curvature in the samples of this material, making quite difficult the…

Strongly Correlated Electrons · Physics 2008-11-26 Alberto Cortijo , María A. H. Vozmediano

Graphene has been studied in detail due to its mechanical, electrical, and thermal properties. It is well documented that the introduction of dopants or defects in the lattice can be used to tune material properties for a specific…

Materials Science · Physics 2025-09-11 Benedict Saunders , Lukas Hörmann , Reinhard J. Maurer

The analysis of the electronic properties of strained or lattice deformed graphene combines ideas from classical condensed matter physics, soft matter, and geometrical aspects of quantum field theory (QFT) in curved spaces. Recent…

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

Graphene has extraordinary mechanical and electronic properties, making it a promising material for membrane based nanoelectromechanical systems (NEMS). Here, chemical-vapor-deposited graphene is transferred onto target substrates to…

A formalism is proposed to study the electronic and transport properties of graphene sheets with corrugations as the one recently synthesized. The formalism is based on coupling the Dirac equation that models the low energy electronic…

Strongly Correlated Electrons · Physics 2008-11-26 Alberto Cortijo , María A. H. Vozmediano

When flat or on a firm mechanical substrate, the atomic composition and atomistic structure of two-dimensional crystals dictate their chemical, electronic, optical, and mechanical properties. These properties change when the two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2014-02-27 Alejandro A. Pacheco Sanjuan , Mehrshad Mehboudi , Edmund O. Harriss , Humberto Terrones , Salvador Barraza-Lopez

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

Crystallographic defects play a key role in determining the properties of crystalline materials. The new class of two-dimensional materials, foremost graphene, have enabled atomically resolved studies of defects, such as vacancies, grain…

Materials Science · Physics 2015-06-22 Ossi Lehtinen , Nilesh Vats , Gerardo Algara-Siller , Pia Knyrim , Ute Kaiser

Graphene, a two-dimensional (2D) material with unique electronic properties, appears to be an ideal object for the application of surface-science methods. Among them, a family of scanning probe microscopy methods (STM, AFM, KPFM) and the…

Materials Science · Physics 2015-03-30 Yuriy Dedkov , Elena Voloshina , Mikhail Fonin

Graphene, the 2D form of carbon, has excellent mechanical, electrical and thermal properties and a variety of potential applications including NEMS, protective coatings, transparent electrodes in display devices and biological applications.…

Mesoscale and Nanoscale Physics · Physics 2018-08-20 Narasimha G Boddeti , Rong Long , Martin L Dunn

Gauge-theory approach to describe Dirac fermions on a disclinated flexible membrane beyond the inextensional limit is formulated. The elastic membrane is considered as an embedding of 2D surface into R^3. The disclination is incorporated…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 E. A. Kochetov , V. A. Osipov , R. Pincak