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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

The charge carrier density in graphene on a dielectric substrate such as SiO$_2$ displays inhomogeneities, the so-called charge puddles. Because of the linear dispersion relation in monolayer graphene, the puddles are predicted to grow near…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 S. Samaddar , I. Yudhistira , S. Adam , H. Courtois , C. B. Winkelmann

We report strong variations in the Raman spectra for different single-layer graphene samples obtained by micromechanical cleavage, which reveals the presence of excess charges, even in the absence of intentional doping. Doping…

Materials Science · Physics 2008-01-07 C. Casiraghi , S. Pisana , K. S. Novoselov , A. K. Geim , A. C. Ferrari

Plasmons in two-dimensional electron systems with nonparabolic bands, such as graphene, feature strong dependence on electron-electron interactions. We use a many-body approach to relate plasmon dispersion at long wavelengths to Landau…

Mesoscale and Nanoscale Physics · Physics 2013-12-19 L. S. Levitov , A. V. Shtyk , M. V. Feigelman

We use density functional theory to determine the equilibrium shape of graphene flakes, through the calculation of the edge orientation dependence of the edge energy and edge stress of graphene nanoribbons. The edge energy is a nearly…

Mesoscale and Nanoscale Physics · Physics 2011-08-08 Chee Kwan Gan , David J. Srolovitz

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

Graphene supports strongly confined transverse-magnetic sheet plasmons whose spectral characteristics depend on the energetic distribution of Dirac particles. The question arises whether plasmons can become amplified when graphene is pumped…

Mesoscale and Nanoscale Physics · Physics 2015-02-05 A. Freddie Page , Fouad Ballout , Ortwin Hess , Joachim M. Hamm

We re-examine a familiar problem given in introductory physics courses, about determining the induced charge distribution on an uncharged ``infinitely-large'' conducting plate when placing parallel to it a uniform charged dielectric plate…

Classical Physics · Physics 2022-11-07 Quy C. Tran , Nam H. Nguyen , Thach A. Nguyen , Trung Phan

We present a detailed study of the static enhancement effects of electric charges in micron-length single-walled carbon nanotubes, using theoretically an atomic charge-dipole model and experimentally electrostatic force microscopy. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Zhao Wang , Mariusz Zdrojek , Thierry Melin , Michel Devel

Graphene is a recently discovered carbon based material with unique physical properties. This is a monolayer of graphite, and the two-dimensional electrons and holes in it are described by the effective Dirac equation with a vanishing…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. A. Mikhailov , K. Ziegler

We employ electrostatic force microscopy to study the electrostatic environment of graphene sheets prepared with the micro-mechanical exfoliation technique. We detect the electric dipole of residues left from the adhesive tape during…

Other Condensed Matter · Physics 2009-11-13 J. Moser , A. Verdaguer , D. Jimenez , A. Barreiro , A. Bachtold

We examine the coexisting spin and charge density waves as a possible ground state of the magic-angle twisted bilayer graphene. When interactions are not included, the spectrum of the material has 4 (8 if spin is taken into account) almost…

Strongly Correlated Electrons · Physics 2023-04-24 A. O. Sboychakov , A. V. Rozhkov , A. L. Rakhmanov

We study the effects of metallic doping on the electronic properties of graphene using density functional theory in the local density approximation in the presence of a local charging energy (LDA+U). The electronic properties are sensitive…

Materials Science · Physics 2009-11-13 B. Uchoa , C. -Y. Lin , A. H. Castro Neto

Graphene is emerging as a viable alternative to conventional optoelectronic, plasmonic, and nanophotonic materials. The interaction of light with carriers creates an out-of-equilibrium distribution, which relaxes on an ultrafast timescale…

Mesoscale and Nanoscale Physics · Physics 2013-06-25 D. Brida , A. Tomadin , C. Manzoni , Y. J. Kim , A. Lombardo , S. Milana , R. R. Nair , K. S. Novoselov , A. C. Ferrari , G. Cerullo , M. Polini

This paper reviews the theoretical work undertaken using density functional theory (DFT) to explore graphene's interactions with its surroundings. We look at the impact of substrates, gate dielectrics and edge effects on the properties of…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 Priyamvada Jadaun , Bhagawan R. Sahu , Leonard F. Register , Sanjay K. Banerjee

We report a new method for quantitative estimation of graphene layer thicknesses using high contrast imaging of graphene films on insulating substrates with a scanning electron microscope. By detecting the attenuation of secondary electrons…

Mesoscale and Nanoscale Physics · Physics 2012-03-28 Vidya Kochat , Atindra Nath Pal , Sneha E. S. , Arjun B. S. , Anshita Gairola , S. A. Shivashankar , Srinivasan Raghavan , Arindam Ghosh

Graphene is an ideal platform to study many-body effects due to its semimetallic character and the possibility to dope it over a wide range. Here we study the width of graphene's occupied $\pi$-band as a function of doping using…

Strongly Correlated Electrons · Physics 2016-08-10 Søren Ulstrup , Malte Schüler , Marco Bianchi , Felix Fromm , Christian Raidel , Thomas Seyller , Tim Wehling , Philip Hofmann

Graphene is a single layer of carbon atoms arranged in a honeycomb lattice with remarkable mechanical and electrical properties. Regarded as the thinnest and narrowest conductive mesh, it has drastically different transmission behaviours…

We probe the local inhomogeneities in the electronic properties of exfoliated graphene due to the presence of charged impurities in the SiO2 substrate using a combined scanning tunneling and electrostatic force microscope. Contact potential…

Mesoscale and Nanoscale Physics · Physics 2012-02-21 Andres Castellanos-Gomez , Roel H. M. Smit , Nicolás Agraït , Gabino Rubio-Bollinger

The effect of external static charging of graphene and its flakes are investigated by using first-principles calculations. While the Fermi level of negatively charged graphene rises and then is quickly pinned by the parabolic, nearly free…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Mehmet Topsakal , Salim Ciraci