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Motivated by the experimental measurement of electrical and hall conductivity, thermopower and Nernst effect, we calculate the longitudinal and transverse electrical and heat transport in graphene in the presence of unitary scatterers as…

Materials Science · Physics 2015-05-19 Vincent Ugarte , Vivek Aji , C. M. Varma

The effect of Coulomb scattering on graphene conductivity in field effect transistor structures is discussed. Inter-particle scattering (electron-electron, hole-hole, and electron-hole) and scattering on charged defects are taken into…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Vyurkov , V. Ryzhii

We analyze the scattering sector of the Hamiltonians for both gapless and gapped graphene in the presence of a charge impurity using the 2D Dirac equation, which is applicable in the long wavelength limit. We show that for certain range of…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 Kumar S. Gupta , Andjelo Samsarov , Siddhartha Sen

Scattering by charged impurities is known to mainly determine transport properties of electrons in modern quantum materials, but it remains poorly studied for materials with Mexican hat dispersion. Due to such nontrivial features as a…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Bagun S. Shchamkhalova , Vladimir A. Sablikov

The full counting statistics for the charge transport through an undoped graphene sheet in the presence of strong potential impurities is studied. Treating the scattering off the impurity in the s-wave approximation, we calculate the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Titov , P. M. Ostrovsky , I. V. Gornyi , A. Schuessler , A. D. Mirlin

Carrier transport in gated 2D graphene monolayers is theoretically considered in the presence of scattering by random charged impurity centers with density $n_i$. Excellent quantitative agreement is obtained (for carrier density $n >…

Mesoscale and Nanoscale Physics · Physics 2007-10-09 E. H. Hwang , S. Adam , S. Das Sarma

Different scattering mechanisms in graphene are explored and conductivity is calculated within the Boltzmann transport theory. We provide results for short-range scattering using the Random Phase Approximation for electron screening, as…

Mesoscale and Nanoscale Physics · Physics 2008-03-15 Shaffique Adam , E. H. Hwang , S. Das Sarma

We show that the changes in the electronic density of states (DOS) in graphene induced by impurity scattering with short-range potentials are completely different from those caused by the long-range Coulomb potential. The spectral weight of…

Mesoscale and Nanoscale Physics · Physics 2010-01-13 Stepan Grinek , Zhou Li , Jie Chen , Qinwei Shi , Frank Marsiglio

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

We theoretically calculate the impurity-scattering induced resistivity of twisted bilayer graphene at low twist angles where the graphene Fermi velocity is strongly suppressed. We consider, as a function of carrier density, twist angle, and…

Mesoscale and Nanoscale Physics · Physics 2020-03-23 E. H. Hwang , S. Das Sarma

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

We investigate the effects of charged impurity distributions and carrier-carrier interactions on electronic transport in graphene on SiO$_2$ by employing a self-consistent coupled simulation of carrier transport and electrodynamics. We show…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 N. Sule , S. C. Hagness , I. Knezevic

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

The main goal of our study was investigation of the influence of the deformations (sufficiently large for the establishing the non-zero gap) on electrotransport properties of impure graphene. To achieve this purpose, we implemented the…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Igor Yu. Sagalianov , Yuriy I. Prylutskyy , Taras M. Radchenko , Valentyn A. Tatarenko

We study the infrared conductivity of graphene at finite chemical potential and temperature taking into account the effect of phonons and disorder due to charged impurities and unitary scatterers. The screening of the long-range Coulomb…

Mesoscale and Nanoscale Physics · Physics 2008-10-16 N. M. R. Peres , T. Stauber , A. H. Castro Neto

It is shown that clustering of charged impurities on graphene can suppress their contribution to the resistivity by a large factor of about the number of impurities per cluster, while leaving the density dependence unchanged. If the cluster…

Mesoscale and Nanoscale Physics · Physics 2009-05-25 M. I. Katsnelson , F. Guinea , A. K. Geim

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

We review our recent work on the physical mechanisms limiting the mobility of graphene on SiO2. We have used intentional addition of charged scattering impurities and systematic variation of the dielectric environment to differentiate the…

Materials Science · Physics 2009-06-10 J. -H. Chen , C. Jang , M. Ishigami , S. Xiao , E. D. Williams , M. S. Fuhrer

A Drude-Boltzmann theory is used to calculate the transport properties of bilayer graphene. We find that for typical carrier densities accessible in graphene experiments, the dominant scattering mechanism is overscreened Coulomb impurities…

Mesoscale and Nanoscale Physics · Physics 2008-03-22 Shaffique Adam , S. Das Sarma

There is an increasing amount of literature concerning electronic properties of graphene close to the neutrality point. Many experiments continue using the two-probe geometry or invasive contacts or do not control samples' macroscopic…

Mesoscale and Nanoscale Physics · Physics 2010-08-27 P. Blake , R. Yang , S. V. Morozov , F. Schedin , L. A. Ponomarenko , A. A. Zhukov , I. V. Grigorieva , K. S. Novoselov , A. K. Geim