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The ground-state and the transport properties of graphene subject to the potential of in-plane charged impurities are studied. The screening of the impurity potential is shown to be nonlinear, producing a fractal structure of electron and…

Mesoscale and Nanoscale Physics · Physics 2009-12-02 M. M. Fogler

Understanding disorder in graphene is essential for electronic applications; in contrast to conventional materials, the extraordinarily low electron-phonon scattering1, 2 in graphene implies that disorder3-7 dominates its resistivity even…

Mesoscale and Nanoscale Physics · Physics 2011-11-14 Jun Yan , Michael S. Fuhrer

The plasmon modes of pristine and impurity doped graphene are calculated, using a real-space theory which determines the non-local dielectric response within the random phase approximation. A full diagonalization of the polarization…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Rodrigo A. Muniz , Hari P. Dahal , A. V. Balatsky , Stephan Haas

We study rectangular graphene flakes using mean field states as the basis for a configuration interaction calculation, which allows us to analyze the low lying electronic excited states including electron correlations beyond the mean field…

Materials Science · Physics 2018-01-18 Z. S. Sadeq , Rodrigo A. Muniz , J. E. Sipe

Introducing quasiparticle anisotropy in graphene via uniaxial strain has a profound effect on the polarization charge density induced by external impurities, both Coulomb and short-range. In particular, the charge distribution induced by a…

Mesoscale and Nanoscale Physics · Physics 2023-12-21 Mohamed M. Elsayed , Sang Wook Kim , Juan M. Vanegas , Valeri N. Kotov

Motivated by experiments on ion irradiated graphene, we compute the resistivity of graphene with dilute impurities. In the local moment regime we employ the perturbation theory up to third order in the exchange coupling to determine the…

Materials Science · Physics 2011-09-12 Sung-Po Chao , Vivek Aji

We investigate the conductivity of doped graphene in the semiclassical Boltzmann limit, as well as the conductivity minimum within the self-consistent transport theory. Using the hard-disk model for a two-dimensional distribution of…

Materials Science · Physics 2013-11-21 Rastko Aničić , Zoran L. Mišković

Graphene is an attractive material for microelectronics applications, given such favourable electrical characteristics as high mobility, high operating frequency, and good stability. If graphene is to be implemented in electronic devices on…

Materials Science · Physics 2019-06-14 B. C. Worley , S. Kim , T. J. Ha , S. Park , R. Haws , P. Rossky , D. Akinwande , A. Dodabalapur

We consider a graphene sheet in the vicinity of a substrate, which contains charged impurities. An analytic expression for the probability distribution function of voltage fluctuations due to the charged impurities is derived. The…

Mesoscale and Nanoscale Physics · Physics 2008-01-14 Victor Galitski , Shaffique Adam , S. Das Sarma

We review the physics of charged impurities in the vicinity of graphene. The long-range nature of Coulomb impurities affects both the nature of the ground state density profile as well as graphene's transport properties. We discuss the…

Mesoscale and Nanoscale Physics · Physics 2009-05-29 S. Adam , E. H. Hwang , E. Rossi , S. Das Sarma

We theoretically investigate the impurity levels and exchange interaction between magnetic impurities in graphene driven by an off-resonant circularly polarized light field. Our analysis captures the non-perturbative effects resulting from…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Modi Ke , Wang-Kong Tse

We review the theoretical and experimental results connected with the electron states in two-dimensional Dirac systems paying a special attention to the atomic collapse in graphene. Two-electron bound states of a Coulomb impurity are…

Strongly Correlated Electrons · Physics 2018-06-15 E. V. Gorbar , V. P. Gusynin , O. O. Sobol

We theoretically revisit graphene transport properties as a function of carrier density, taking into account possible correlations in the spatial distribution of the Coulomb impurity disorder in the environment. We find that the charged…

Mesoscale and Nanoscale Physics · Physics 2011-10-06 Qiuzi Li , E. H. Hwang , E. Rossi , S. Das Sarma

It is shown that a ``vacuum polarization'' induced by Coulomb potential in graphene leads to a strong suppression of electric charges even for undoped case (no charge carriers). A standard linear response theory is therefore not applicable…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson

When graphene is close to charge neutrality, its energy landscape is highly inhomogeneous, forming a sea of electron-like and hole-like puddles, which determine the properties of graphene at low carrier density. However, the details of the…

Mesoscale and Nanoscale Physics · Physics 2011-12-07 Shaffique Adam , Suyong Jung , Nikolai N. Klimov , Nikolai B. Zhitenev , Joseph A. Stroscio , M. D. Stiles

We theoretically consider the effect of plasmon collective modes on the frequency-dependent conductivity of graphene in the presence of the random static potential of charged impurities. We develop an equation of motion approach suitable…

Mesoscale and Nanoscale Physics · Physics 2013-08-09 K. Kechedzhi , S. Das Sarma

This work analyses how impurities and vacancies on the surface of a graphene sample affect its optical conductivity and plasmon excitations. The disorder is analysed in the self-consistent Green's function formulation and nonlocal effects…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 Giovanni Viola , Tobias Wenger , Jari Kinaret , Mikael Fogelström

An analysis of the electron localization properties in doped graphene is performed by doing a numerical multifractal analysis. By obtaining the singularity spectrum of a tight-binding model, it is found that the electron wave functions…

Disordered Systems and Neural Networks · Physics 2013-07-01 J. E. Barrios-Vargas , Gerardo G. Naumis

The first-order interaction correction to the irreducible polarization function of pristine graphene is studied at arbitrary relation between momentum and frequency. The results are used to calculate the dielectric function and the…

Mesoscale and Nanoscale Physics · Physics 2012-09-20 Inti Sodemann , Michael M. Fogler

We study both monolayer and bilayer graphene transport properties taking into account the presence of correlations in the spatial distribution of charged impurities. In particular we find that the experimentally observed sublinear scaling…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Qiuzi Li , E. H. Hwang , E. Rossi
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