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Two-dimensional carbon, or graphene, is a semi-metal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects of localized (impurities or vacancies) and…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , F. Guinea , A. H. Castro Neto

Being a true two-dimensional crystal, graphene has special properties. In particular, a point-like defect in graphene may have effects in the long range. This peculiarity questions the validity of using a supercell geometry in an attempt to…

Materials Science · Physics 2015-06-05 Philippe Lambin , Hakim Amara , François Ducastelle , Luc Henrard

Graphene is locally two-dimensional but not flat. Nanoscale ripples appear in suspended samples and rolling-up often occurs when boundaries are not fixed. We address this variety of graphene geometries by classifying all ground-state…

Mesoscale and Nanoscale Physics · Physics 2018-06-13 Manuel Friedrich , Ulisse Stefanelli

We present a unique experimental configuration that allows us to determine the interfacial forces on nearly parallel plates made from the thinnest possible mechanical structures, single and few layer graphene membranes. Our approach…

The recent discovery of graphene has sparked significant interest, which has so far been focused on the peculiar electronic structure of this material, in which charge carriers mimic massless relativistic particle. However, the structure of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jannik C. Meyer , A. K. Geim , M. I. Katsnelson , K. S. Novoselov , T. J. Booth , S. Roth

Mirroring their role in electrical and optical physics, two-dimensional crystals are emerging as novel platforms for fluid separations and water desalination, which are hydrodynamic processes that occur in nanoscale environments. For…

Statistical Mechanics · Physics 2016-05-11 Steven E. Strong , Joel D. Eaves

The electrodynamics of a two-dimensional gas of massless fermions in graphene is studied by a collisionless hydrodynamic approach. A low-energy dispersion relation for the collective modes (plasmons) is derived both in the absence and in…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 R. Roldán , J. -N. Fuchs , M. O. Goerbig

Understanding the adhesion between graphene and other materials is crucial for achieving more reliable graphene-based applications in electronic devices and nanocomposites. The ultra-thin profile of graphene, however, poses significant…

Materials Science · Physics 2011-11-10 Zhao Zhang , Teng Li

Isotopic effects are relevant to understand several properties of solids, and have been thoroughly analyzed along the years. These effects may depend on the dimensionality of the considered solid. Here we assess their magnitude for…

Materials Science · Physics 2020-09-04 Carlos P. Herrero , Rafael Ramirez

We report subnanometer, high-bandwidth measurements of the out-of-plane (vertical) motion of atoms in freestanding graphene using scanning tunneling microscopy. By tracking the vertical position over a long time period, a 1000-fold increase…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 M. L. Ackerman , P. Kumar , M. Neek-Amal , P. M. Thibado , F. M. Peeters , S. P. Singh

The bending rigidity of two-dimensional (2D) materials is a key parameter for understanding the mechanics of 2D NEMS devices. The apparent bending rigidity of graphene membranes at macroscopic scale differs from theoretical predictions at…

We probe the local inhomogeneities of the electronic properties of graphene at the nanoscale using scanning probe microscopy techniques. First, we focus on the study of the electronic inhomogeneities caused by the graphene-substrate…

Mesoscale and Nanoscale Physics · Physics 2012-10-16 A. Castellanos-Gomez , Arramel , M. Wojtaszek , R. H. M. Smit , N. Tombros , N. Agraït , B. J. van Wees , G. Rubio-Bollinger

Graphene, the first truly two-dimensional (one atom thin) material, possesses strongly nonlinear electrodynamic and optical properties. At low (microwave, terahertz) frequencies this results from the unique electronic property of graphene -…

Mesoscale and Nanoscale Physics · Physics 2018-10-02 Sergey Mikhailov

The conformal invariance of the low energy limit theory governing the electronic properties of graphene is explored. In particular, it is noted that the massless Dirac theory in point enjoys local Weyl symmetry, a very large symmetry.…

High Energy Physics - Theory · Physics 2011-04-20 Alfredo Iorio

The general covariance of the Dirac equation is exploited in order to explore the curvature effects appearing in the electronic properties of graphene. Two physical situations are then considered: the weak curvature regime, with…

Mesoscale and Nanoscale Physics · Physics 2017-03-29 Pavel Castro-Villarreal , R. Ruiz-Sánchez

Graphene-based membranes have been investigated as promising candidates for water filtration and gas separation applications. Experimental evidences have shown that graphene oxide can be impermeable to liquids, vapors and gases, while…

Materials Science · Physics 2017-02-02 Daiane D. Borges , Cristiano F. Woellner , Pedro A. S. Autreto , Douglas S. Galvao

Here it is shown that graphene membranes that separate 2 gases at identical pressure are deflected by osmotic pressure. The osmotic pressure is a consequence of differences in gas permeation rates into a graphene enclosed cavity. The…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 Robin J. Dolleman , Santiago J. Cartamil-Bueno , Herre S. J. van der Zant , Peter G. Steeneken

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

We consider a discrete model of a graphene sheet with atomic interactions governed by a harmonic approximation of the 2nd-generation Brenner potential that depends on bond lengths, bond angles, and two types of dihedral angles. A continuum…

Materials Science · Physics 2017-05-24 Cesare Davini , Antonino Favata , Roberto Paroni

The paper presents a theoretical description of the effects of strain induced by out-of-plane deformations on charge distributions and transport on graphene. A review of a continuum model for electrons using the Dirac formalism is…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 Dawei Zhai , Nancy Sandler