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We theoretically study the transport properties of both monolayer and bilayer graphene in the presence of electron-hole puddles induced by charged impurities which are invariably present in the graphene environment. We calculate the…

Mesoscale and Nanoscale Physics · Physics 2011-09-28 Qiuzi Li , E. H. Hwang , S. Das Sarma

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

Application of a perpendicular electric field induces a band gap in bilayer graphene, and it also creates a "Mexican hat" structure in the dispersion relation. This structure has unusual implications for the hydrogen-like bound state of an…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Brian Skinner , B. I. Shklovskii , M. B. Voloshin

The effect of a randomly fluctuating gap, created by a random staggered potential, is studied in a monolayer and a bilayer of graphene. The density of states, the one-particle scattering rate and transport properties (diffusion coefficient…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 K. Ziegler

We have investigated a new feature of impurity cyclotron resonances common to various localized potentials of graphene. A localized potential can interact with a magnetic field in an unexpected way in graphene. It can lead to formation of…

Mesoscale and Nanoscale Physics · Physics 2014-07-25 S. C. Kim , S. -R. Eric Yang , A. H. MacDonald

The electronic properties of low-dimensional materials can be engineered by doping, but in the case of graphene nanoribbons (GNR) the proximity of two symmetry-breaking edges introduces an additional dependence on the location of an…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 S. R. Power , V. M. de Menezes , S. B. Fagan , M. S. Ferreira

Strongly coupling materials to cavity fields can affect their electronic properties altering the phases of matter. We study the monolayer graphene whose electrons are coupled to both left and right circularly polarized photons, and…

Mesoscale and Nanoscale Physics · Physics 2024-11-26 Ceren B. Dag , Vasil Rokaj

A polycrystalline graphene consists of perfect domains tilted at angle {\alpha} to each other and separated by the grain boundaries (GB). These nearly one-dimensional regions consist in turn of elementary topological defects, 5-pentagons…

Materials Science · Physics 2010-09-16 Yuanyue Liu , Boris I. Yakobson

Graphene ripples possess peculiar essential properties owing to the strong chemical bonds, as an investigation using first principle calculations clearly revealed. Various charge distributions, bond lengths, energy bands, and densities of…

Materials Science · Physics 2015-01-08 Shih-Yang Lin , Shen-Lin Chang , Feng-Lin Shyu , Jian-Ming Lu , Ming-Fa Lin

The low-energy spectrum of graphene nanoribbons with armchair edges (armchair nanoribbons) is described as the superposition of two non-equivalent Dirac points of graphene. In spite of the lack of well-separated two valley structures, the…

Mesoscale and Nanoscale Physics · Physics 2009-09-07 Masayuki Yamamoto , Yositake Takane , Katsunori Wakabayashi

Transport in graphene nanoribbons with an energy gap in the spectrum is considered in the presence of random charged impurity centers. At low carrier density, we predict and establish that the system exhibits a density inhomogeneity driven…

Mesoscale and Nanoscale Physics · Physics 2008-07-23 S. Adam , S. Cho , M. S. Fuhrer , S. Das Sarma

We study the effects of a low concentration of adatoms or single vacancies in the linear-response transport properties of otherwise clean graphene. These impurities were treated as localized orbitals, and for each type two cases with…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 David A. Ruiz-Tijerina , Luis G. G. V. Dias da Silva

The electronic energy spectrum of graphene electron subjected to a homogeneous magnetic field in the presence of a charged Coulomb impurity is studied analytically within two-dimensional Dirac-Weyl picture by using variational approach. The…

Mesoscale and Nanoscale Physics · Physics 2010-05-21 B. S. Kandemir , A. Mogulkoc

We show that graphene deposited on a substrate has a non-negligible density of atomic scale defects. This is evidenced by a previously unnoticed D peak in the Raman spectra with intensity of about 1% with respect to the G peak. We evaluated…

Mesoscale and Nanoscale Physics · Physics 2010-10-15 Z. H. Ni , L. A. Ponomarenko , R. R. Nair , R. Yang , S. Anissimova , I. V. Grigorieva , F. Schedin , Z. X. Shen , E. H. Hill , K. S. Novoselov , A. K. Geim

Charge impurities in graphene can host an infinite family of Rydberg-like resonance states of massless Dirac particles. These states, appearing for supercritical charge, are described by Bohr-Sommerfeld quantization of collapsing classical…

Mesoscale and Nanoscale Physics · Physics 2007-12-15 A. V. Shytov , M. I. Katsnelson , L. S. Levitov

Random vacancies in a graphene monolayer induce defect states that are known to form a narrow impurity band centered around zero energy at half-filling. We use a space-resolved formulation of the quantum metric and establish a strong…

Mesoscale and Nanoscale Physics · Physics 2024-08-01 Quentin Marsal , Annica M. Black-Schaffer

In molecular electronic conduction, exotic lattice morphologies often give rise to exotic behaviors. Among 2D systems, graphene is a notable example. Recently, a stable amorphous version of graphene called Monolayer Amorphous Carbon (MAC)…

Mesoscale and Nanoscale Physics · Physics 2021-12-13 Nicolas Gastellu , Michael Kilgour , Lena Simine

Graphene on a dielectric substrate exhibits spatial doping inhomogeneities, forming electron-hole puddles. Understanding and controlling the latter is of crucial importance for unraveling many of graphene's fundamental properties at the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 S. C. Martin , S. Samaddar , B. Sacépé , A. Kimouche , J. Coraux , F. Fuchs , B. Grévin , H. Courtois , C. B. Winkelmann

We report a first-principles based study of mesoscopic quantum transport in chemically doped graphene nanoribbons with a width up to 10 nm. The occurrence of quasibound states related to boron impurities results in mobility gaps as large as…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 Blanca Biel , François Triozon , X. Blase , Stephan Roche

A method is suggested to separately determine the surface density of positively and negatively charged impurities that limit the mobility in a graphene monolayer. The method is based on the exact result for the transport cross-section,…

Mesoscale and Nanoscale Physics · Physics 2007-09-05 D. S. Novikov
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