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Lifshitz-type formulas are obtained for the van der Waals and Casimir interaction between graphene and a material plate, graphene and an atom or a molecule, and between a single-wall carbon nanotube and a plate. The reflection properties of…

Other Condensed Matter · Physics 2009-11-11 M. Bordag , B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We study circular nanomechanical graphene resonators by means of continuum elasticity theory, treating them as membranes. We derive dynamic equations for the flexural mode amplitudes. Due to geometrical nonlinearity these can be modeled by…

Mesoscale and Nanoscale Physics · Physics 2014-01-31 A. M. Eriksson , D. Midtvedt , A. Croy , A. Isacsson

We calculate the properties of a graphene monolayer on the Ir(111) surface, using the model in which the periodicities of the two structures are assumed equal, instead of the observed slight mismatch which leads to a large superperiodic…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 R. Brako , D. Sokcevic , P. Lazic , N. Atodiresei

A great efficacy of molecular quantum chemistry applied to basic graphene problems has been recently demonstrated by the authors when studying the formation of peculiar composites between carbon nanotubes and graphene as well as considering…

Mesoscale and Nanoscale Physics · Physics 2011-02-07 Elena F Sheka , Nadezhda A Popova

We introduce the idea that the electronic band structure of a charge density wave system may mimic the electronic structure of graphene. In that case a class of materials quite different from graphene might be opened up to exploit…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 John M. Vail , Oscar J. Hernandez , Ming-Su Si , Zhoufei Wang

We examine the competition between adhesive and bending energies for few-layered graphene samples placed on rigid, microscale-corrugated substrates. Using atomic force microscopy, we show that the graphene undergoes a sharp "snap-through"…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Scott Scharfenberg , Nikhita Mansukhani , Cesar Chialvo , Richard L. Weaver , Nadya Mason

The difficulty in determining the mass of a sample increases as its size diminishes. At the nanoscale, there are no direct methods for resolving the mass of single molecules or nanoparticles and so more sophisticated approaches based on…

Materials Science · Physics 2015-06-03 Stas M. Avdoshenko , Claudia Gomes da Rocha , Gianaurelio Cuniberti

Molecular dynamics (MD) simulations were performed to study the formation process of nanopores in a suspended graphene sheet irradiated by using energetic ions though a mask. By controlling the ion parameters including mass, energy and…

Mesoscale and Nanoscale Physics · Physics 2016-03-10 Weisen Li , Li Liang , Shijun Zhao , Shuo zhang , Jianming Xue

Graphene, one of the strongest materials ever discovered, triggered the exploration of many 2D materials in the last decade. However, the successful synthesis of a stable nanomaterial requires a rudimentary understanding of the relationship…

Materials Science · Physics 2017-04-05 Obaidur Rahaman , Bohayra Mortazavi , Arezoo Dianat , Gianaurelio Cuniberti , Timon Rabczuk

A study of strongly curved graphene magnetization and magnetic susceptibility is carried out. Through a Dirac model complemented with a tight-binding model analysis, we are able to show that mechanical deformations solve the long-standing…

Mesoscale and Nanoscale Physics · Physics 2024-07-18 Abdiel de Jesús Espinosa-Champo , Gerardo G. Naumis , Pavel Castro-Villarreal

Herein, we investigate the structural, electronic and mechanical properties of zigzag graphene nanoribbons upon the presence of stress applying Density Functional Theory within the GGA-PBE approximation. The uniaxial stress is applied along…

Materials Science · Physics 2015-05-13 Ricardo Faccio , Pablo A. Denis , Helena Pardo , Cecilia Goyenola , Alvaro W. Mombru

We determine the band structure of graphene under strain using density functional calculations. The ab-initio band strucure is then used to extract the best fit to the tight-binding hopping parameters used in a recent microscopic model of…

Mesoscale and Nanoscale Physics · Physics 2009-11-08 R. M. Ribeiro , Vitor M. Pereira , N. M. R. Peres , P. R. Briddon , A. H. Castro Neto

Both van der Waals corrected density functional theory and classical calculations show that the potential relief of interaction energy between layers of graphite and few-layer graphene can be described by a simple expression containing only…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Andrey M. Popov , Irina V. Lebedeva , Andrey A. Knizhnik , Yurii E. Lozovik , Boris V. Potapkin

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

This article proposes a novel analytical model for the anisotropic multi-layer structures containing magnetically biased graphene sheets. The multi-layer structure is composed of various magnetic materials. An external magnetic field is…

The mechanical and electronic properties of a graphene membrane placed on top of a superlattice of nanopillars are investigated. We use molecular dynamics (MD) simulations to access the deformation fields and the tight-binding approaches to…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 S. P. Milovanovic , L. Covaci , F. M. Peeters

The small mass and atomic-scale thickness of graphene membranes make them highly suitable for nanoelectromechanical devices such as e.g. mass sensors, high frequency resonators or memory elements. Although only atomically thick, many of the…

Defects play a key role in the electronic structure of graphene layers flat or curved. Topological defects in which an hexagon is replaced by an n-sided polygon generate long range interactions that make them different from vacancies or…

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

Twisted van der Waals (vdW) heterostructures have recently emerged as an attractive platform to study tunable correlated electron systems. However, the quantum mechanical nature of vdW heterostructures makes their theoretical and…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 S. Minhal Gardezi , Harris Pirie , William Dorrell , Jennifer E. Hoffman

The mechanical behavior of graphitic materials is greatly affected by the weak interlayer bonding with van der Waals forces for a range of thickness from nano to macroscale. Herein, we present a comprehensive study of the effect of layer…