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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

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 theoretically predict that the motion of a polar crystalline layer between two graphene planes exerts Coulomb drag on electrons in graphene, inducing a DC drag current. The physical mechanism underlying this drag arises from intervalley…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 A. L. Chudnovskiy

It is shown that a magnetic field dramatically affects the problem of supercritical charge in graphene making any charge in gapless theory supercritical. The cases of radially symmetric potential well and Coulomb center in an homogeneous…

Strongly Correlated Electrons · Physics 2011-06-14 O. V. Gamayun , E. V. Gorbar , V. P. Gusynin

We analyze the scattering from one-dimensional defects in intrinsic graphene. The Coulomb repulsion between electrons is found to be able to induce singularities of such scattering at zero temperature as in one-dimensional conductors. In…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Kindermann

We present a study of transport in graphene devices on polar insulating substrates by solving the Bolzmann transport equation in the presence of graphene phonon, surface polar phonon, and Coulomb charged impurity scattering. The value of…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Vasili Perebeinos , Phaedon Avouris

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 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

We compute the Coulomb correction $\mathcal{C}$ to the a. c. conductivity of interacting massless Dirac particles in graphene in the collisionless limit using the polarization tensor approach in a regularization independent framework.…

Mesoscale and Nanoscale Physics · Physics 2013-11-11 G. Gazzola , A. L. Cherchiglia , L. A. Cabral , M. C. Nemes , Marcos Sampaio

We argue that the unscreened Coulomb interaction in graphene provides a positive, universal, and logarithmic correction to scaling of zero-temperature conductivity with frequency. The combined effect of the disorder due to wrinkling of the…

Mesoscale and Nanoscale Physics · Physics 2008-01-28 Igor F. Herbut , Vladimir Juricic , Oskar Vafek

Particle localization is an essential ingredient in quantum Hall physics [1,2]. In conventional high mobility two-dimensional electron systems Coulomb interactions were shown to compete with disorder and to play a central role in particle…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. Martin , N. Akerman , G. Ulbricht , T. Lohmann , K. von Klitzing , J. H. Smet , A. Yacoby

We analyze the competing effects of moderate to strong Coulomb electron-electron interactions and weak quenched disorder in graphene. Using a one-loop renormalization group calculation controlled within the large-N approximation, we…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matthew S. Foster , Igor L. Aleiner

We study localized plasmons at the nanoscale (nano-plasmons) in graphene. The collective excitations of induced charge density modulations in graphene are drastically changed in the vicinity of a single impurity compared to graphene's bulk…

Materials Science · Physics 2013-12-19 Hari Dahal , Rodrigo A. Muniz , Stephan Haas , Matthias J. Graf , Alexander V. Balatsky

In this paper, we numerically study the bound electron states induced by long range Coulomb impurity in gapped graphene and the quasi-bound states in supercritical region based on the lattice model. We present a detailed comparison between…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 W. Zhu , M. L. Liang , Q. W. Shi , Z. F. Wang , J. Chen , J. G. Hou

We discuss the fact that quantum capacitance of graphene-based devices leads to variation of it's charge density under changes of external magnetic field.The charge is conserved, but redistributes to substrate or other graphene sheet. We…

Mesoscale and Nanoscale Physics · Physics 2014-03-28 Sergey Slizovskiy

We study the intervalley scattering in defected graphene by low-temperature transport measurements. The scattering rate is strongly suppressed when defects are charged. This finding highlights "screening" of the short-range part of a…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 Baoming Yan , Qi Han , Zhenzhao Jia , Jingjing Niu , Tuocheng Cai , Dapeng Yu , Xiaosong Wu

The observed quantization of the Hall conductivity in graphene at high magnetic fields is explained as being due to the dynamically generated spatial modulation of either the electron spin or the density, as decided by the details of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Igor F. Herbut

The one-loop polarization function of graphene has been calculated at zero temperature for arbitrary wavevector, frequency, chemical potential (doping), and band gap. The result is expressed in terms of elementary functions and is used to…

Strongly Correlated Electrons · Physics 2008-12-12 P. K. Pyatkovskiy

The screening problem for the Coulomb potential of a charge located in a two-dimensional (2D) system has an intriguing solution with a power law distance screening factor due to out-of-plane electrical fields. This is crucially different…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 K. A. Baryshnikov , A. V. Gert , Yu. B. Vasilyev , A. P. Dmitriev

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