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The effect of vacuum polarization in the field of an infinitesimally thin solenoid at distances much larger than the radius of solenoid is investigated. The induced charge density and induced current are calculated. Though the induced…

Mesoscale and Nanoscale Physics · Physics 2009-08-03 R. Jackiw , A. I. Milstein , S. -Y. Pi , I. S. Terekhov

A new mechanism that induces charge density variations in corrugated graphene is proposed. Here it is shown how the interplay between lattice deformations and exchange interactions can induce charge separation, i.e., puddles of electrons…

Mesoscale and Nanoscale Physics · Physics 2008-01-08 L. Brey , J. J. Palacios

An expression for the density of a planar induced vacuum charge is obtained in a strong Coulomb potential in coordinate space. Treatment is based on a self-adjoint extension approach for constructing of the Green's function of a charged…

High Energy Physics - Theory · Physics 2017-04-26 V. R. Khalilov , I. V. Mamsurov

We show by systemically experimental investigation that gas-flow-induced voltage in monolayer graphene is more than twenty times of that in bulk graphite. Examination over samples with sheet resistances ranging from 307 to 1600 {\Omega}/sq…

Materials Science · Physics 2015-05-28 Jun Yin , Jianxin Zhou , Xuemei Li , Yaqing Chen , Guoan Tai , Wanlin Guo

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

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 interband and intraband conductivities of doped graphene were theoretically investigated beyond the linear response. The new dependences of induced currents on frequency and amplitude of external electric field, the graphene temperature…

Mesoscale and Nanoscale Physics · Physics 2013-08-19 B. M. Ruvinskii , M. A. Ruvinskii

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 Coulomb impurity problem of graphene, in the absence of a magnetic field, displays discrete scale invariance. Applying a magnetic field introduces a new magnetic length scale $\ell$ and breaks discrete scale invariance. Moreover, a…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Hoang-Anh Le , S. -R. Eric Yang

We develop a hydrodynamic theory of charge and heat currents induced by traveling waves, such as surface acoustic waves, in graphene devices near charge neutrality. The currents depend on the intrinsic conductivity and viscosity of the…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 E. Kirkinis , A. Levchenko , A. V. Andreev

We point out a practical way to induce a finite charge Hall conductivity in graphene via an off-diagonal strain. Our conclusions are based on a general analysis and supported by numerical examples. The interplay between a substrate-induced…

Mesoscale and Nanoscale Physics · Physics 2011-11-30 Zhen-Gang Zhu , Jamal Berakdar

We study the gate voltage induced gap that occurs in graphene bilayers using \textit{ab initio} density functional theory. Our calculations confirm the qualitative picture suggested by phenomenological tight-binding and continuum models. We…

Materials Science · Physics 2007-05-23 Hongki Min , B. R. Sahu , Sanjay K. Banerjee , A. H. MacDonald

It has been predicted that application of a strong electric field perpendicular to the plane of bilayer graphene can induce a significant band gap. We have measured the optical conductivity of bilayer graphene with an efficient electrolyte…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Kin Fai Mak , Chun Hung Lui , Jie Shan , Tony F. Heinz

We develop a model for carrier generation by impact ionization in graphene, which shows that this effect is non-negligible because of the vanishing energy gap, even for carrier transport in moderate electric fields. Our theory is applied to…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 L. Pirro , A. Girdhar , Y. Leblebici , J. P. Leburton

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

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 investigate the thermal conductivity of suspended graphene as a function of the density of defects, ND, introduced in a controllable way. Graphene layers are synthesized using chemical vapor deposition, transferred onto a transmission…

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

The Fermi energies of electrons and holes and their densities in different graphene layers (GLs) in the n- and p-regions of the electrically induced n-i-p junctions formed in multiple-GL structures are calculated both numerically and using…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Ryzhii , V. Ryzhii , T. Otsuji , V. Mitin , M. S. Shur

We describe charging a quantum dot induced electrostatically within a semiconducting graphene nanoribbon by electrons or holes. The applied model is based on a tight-binding approach with the electron-electron interaction introduced by a…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 D. P. Żebrowski , B. Szafran
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