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The problem of electrostatic screening of a charged line by undoped or weakly doped graphene is treated beyond the linear-response theory. The induced electron density is found to be approximately doping independent, n(x)~(log x)^2/x^2, at…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Bor-Yuan Jiang , Michael M. Fogler

The distribution of net electric charge in graphene is investigated, using both a constitutive atomic charge-dipole interaction model and an approximate analytical solution to Laplace's equation. We demonstrate a strong size dependence of…

Mesoscale and Nanoscale Physics · Physics 2009-09-21 Zhao Wang , Robert W. Scharstein

We study the distribution of vacuum polarization charge induced by a Coulomb impurity in massive graphene. By analytically computing the polarization function, we show that the charge density is distributed in space in a non-trivial…

Mesoscale and Nanoscale Physics · Physics 2008-08-22 Valeri N. Kotov , Vitor M. Pereira , Bruno Uchoa

The charge distribution induced by external fields in finite stacks of graphene planes, or in semiinfinite graphite is considered. The interlayer electronic hybridization is described by a nearest neighbor hopping term, and the charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. Guinea

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

Distribution of charge induced by a gate voltage in a graphene strip is investigated. We calculate analytically the charge profile and demonstrate a strong(macroscopic) charge accumulation along the boundaries of a micrometers-wide strip.…

Mesoscale and Nanoscale Physics · Physics 2008-06-04 P. G. Silvestrov , K. B. Efetov

We analyse the interaction between charges and graphene layers. The electric polarisability of graphene induces a force, that can be described by an image charge. The analysis shows that graphene can be described as an imperfect conductor…

Mesoscale and Nanoscale Physics · Physics 2016-05-27 Francisco Guinea , Niels R. Walet

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

The experimental availability of ultra-high-mobility samples of graphene opens the possibility to realize and study experimentally the "hydrodynamic" regime of the electron liquid. In this regime the rate of electron-electron collisions is…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Alessandro Principi , Giovanni Vignale

The conductivity of graphene samples with various levels of disorder is investigated for a set of specimens with mobility in the range of $1-20\times10^3$ cm$^2$/V sec. Comparing the experimental data with the theoretical transport…

Mesoscale and Nanoscale Physics · Physics 2008-01-02 Y. -W. Tan , Y. Zhang , K. Bolotin , Y. Zhao , S. Adam , E. H. Hwang , S. Das Sarma , H. L. Stormer , P. Kim

Experimentally produced graphene sheets exhibit a wide range of mobility values. Both extrinsic charged impurities and intrinsic ripples (corrugations) have been suggested to induce long-range disorder in graphene and could be a candidate…

Mesoscale and Nanoscale Physics · Physics 2016-05-13 Zheyong Fan , Andreas Uppstu , Ari Harju

The specifics of charge screening and electrostatic potential spatial distribution in multilayered graphene films placed in between charged substrates is theoretically analyzed. It is shown that by varying the areal charge densities on the…

Mesoscale and Nanoscale Physics · Physics 2014-03-21 Natalya A. Zimbovskaya , Eugene J. Mele

We analyze elastic deformations of graphene sheets which lead to effective gauge fields acting on the charge carriers. Corrugations in the substrate induce stresses, which, in turn, can give rise to mechanical instabilities and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 F. Guinea , B. Horovitz , P. Le Doussal

We investigate the conductivity of graphene sheet deformed over a gate. The effect of the deformation on the conductivity is twofold: The lattice distortion can be represented as pseudovector potential in the Dirac equation formalism,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. V. Medvedyeva , Ya. M. Blanter

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

The intercalation of an oxide barrier between graphene and its metallic substrate for chem- ical vapor deposition is a contamination-free alternative to the transfer of graphene to dielectric supports, usually needed for the realization of…

We investigate bilayer graphene transport in the presence of electron-hole puddles induced by long-range charged impurities in the environment. We explain the insulating behavior observed in the temperature dependent conductivity of low…

Mesoscale and Nanoscale Physics · Physics 2010-08-24 E. H. Hwang , S. Das Sarma

We consider the problem of screening of an electrically charged impurity in a clean graphene sheet. When electron-electron interactions are neglected, the screening charge has a sign opposite to that of the impurity, and is localized near…

Strongly Correlated Electrons · Physics 2007-11-29 Rudro R. Biswas , Subir Sachdev , Dam T. Son

Single-layer graphene sheets are typically characterized by long-wavelength corrugations (ripples) which can be shown to be at the origin of rather strong potentials with both scalar and vector components. We present an extensive…

Mesoscale and Nanoscale Physics · Physics 2010-04-06 Marco Gibertini , Andrea Tomadin , Marco Polini , A. Fasolino , M. I. Katsnelson

Suspended graphene exhibits ripples of size ranging from 50 to 100 {\AA} and height $\sim$10{\AA}, however, their origin remains undetermined. Previous theoretical works have proposed that rippling in graphene might be generated by the…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 Tommaso Cea , Miguel Ruiz-Garcia , Luis Bonilla , Francisco Guinea
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