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A consistent methodology is presented to extract carrier concentrations in n-type Ge from measurements of the infrared dielectric function and the Hall effect. In the case of the optical measurements, usually carried out using spectroscopic…

Materials Science · Physics 2023-04-12 José Menéndez , Chi Xu , John Kouvetakis

The carrier density and temperature dependence of the Hall mobility in mono-, bi- and tri-layer graphene has been systematically studied. We found that as the carrier density increases, the mobility decreases for mono-layer graphene, while…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Wenjuan Zhu , Vasili Perebeinos , Marcus Freitag , Phaedon Avouris

The weak temperature dependence of the resistance R(T) of monolayer graphene1-3 indicates an extraordinarily high intrinsic mobility of the charge carriers. Important complications are the presence of mobile scattering centres that strongly…

Materials Science · Physics 2010-01-18 Viera Skakalova , Alan B. Kaiser , Jai Seung Yoo , Dirk Obergfell , Siegmar Roth

We have studied temperature dependences of electron transport in graphene and its bilayer and found extremely low electron-phonon scattering rates that set the fundamental limit on possible charge carrier mobilities at room temperature. Our…

Mesoscale and Nanoscale Physics · Physics 2008-01-07 S. V. Morozov , K. S. Novoselov , M. I. Katsnelson , F. Schedin , D. C. Elias , J. A. Jaszczak , A. K. Geim

We report on the temperature dependent electron transport in graphene at different carrier densities $n$. Employing an electrolytic gate, we demonstrate that $n$ can be adjusted up to 4$\times10^{14}$cm$^{-2}$ for both electrons and holes.…

Mesoscale and Nanoscale Physics · Physics 2010-12-14 Dmitri K. Efetov , Philip Kim

One of the most distinctive features of graphene is its huge inter-Landau-level splitting in experimentally attainable magnetic fields which results in the room-temperature quantum Hall effect. In this paper we calculate the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2015-12-07 A. M. Alexeev , R. R. Hartmann , M. E. Portnoi

With a conserving formalism within the self-consistent Born approximation, we study the Hall conductivity of Dirac fermions in graphene under charged impurity scatterings. The calculated inverse Hall coefficient is compared with the…

Strongly Correlated Electrons · Physics 2009-10-23 Xin-Zhong Yan , C. S. Ting

The Hall scattering factor is formulated using Rode's iterative approach to solving the Boltzmann transport equation in such a way that it may be easily computed within the scope of ab-inito calculations. Using this method in conjunction…

Graphene has two atoms per unit cell with quasiparticles exhibiting the Dirac-like behavior. These properties lead to interband in addition to intraband optical transitions and modify the $f$-sum rule on the longitudinal conductivity. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

We report a study of disorder effects on epitaxial graphene in the vicinity of the Dirac point by magneto-transport. Hall effect measurements show that the carrier density increases quadratically with temperature, in good agreement with…

Graphene with high carrier mobility \mu\ is required both for graphene-based electronic devices and for the investigation of the fundamental properties of graphene's Dirac fermions. It is largely accepted that the mobility-limiting factor…

Mesoscale and Nanoscale Physics · Physics 2012-03-08 A. K. M. Newaz , Yevgeniy S. Puzyrev , Bin Wang , Sokrates T. Pantelides , Kirill I. Bolotin

Detecting the carrier scattering mechanisms in a materials system is important for transport related science and engineering. The approaches of fast laser process and electrical conductivity matching were used in previous literature, which…

Materials Science · Physics 2014-10-21 Shuang Tang , Mildred S. Dresselhaus

We calculate the classic Hall conductivity and mobility of the undoped and doped (or in the gate voltage) graphene as a function of temperature, magnetic field, and carrier concentration. Carrier collisions with defects and acoustic phonons…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. A. Falkovsky

The miniaturization of quantum Hall resistance standards (QHRS) using epitaxial graphene on silicon carbide necessitates understanding how device dimensions impact performance. This study reveals a pronounced scale-dependent carrier density…

We have investigated electron dynamics in top gated graphene by measuring the gate admittance of a diffusive graphene capacitor in a broad frequency range as a function of carrier density. The density of states, conductivity and diffusion…

Mesoscale and Nanoscale Physics · Physics 2011-03-24 E. Pallecchi , A. C. Betz , J. Chaste , G. Fève , B. Huard , T. Kontos , J. -M. Berroir , B. Plaçais

We develop a theory of the valley Hall effect in high-quality graphene samples, in which strain fluctuation-induced random gauge potentials have been suggested as the dominant source of disorder. We find a near-quantized value of valley…

Mesoscale and Nanoscale Physics · Physics 2019-05-16 Wen-Yu Shan , Di Xiao

The nonequilibrium dynamics of carriers and phonons in graphene is investigated by solving the microscopic kinetic equations with the carrier-phonon and carrier-carrier Coulomb scatterings explicitly included. The Fermi distribution of hot…

Mesoscale and Nanoscale Physics · Physics 2012-03-15 B. Y. Sun , Y. Zhou , M. W. Wu

Understanding the mechanisms of thermal conduction in graphene is a long-lasting research topic, due to its high thermal conductivity. Peierls-Boltzmann transport equation (PBTE) based studies have revealed many unique phonon transport…

Materials Science · Physics 2019-08-14 Xiaokun Gu , Zheyong Fan , Hua Bao , C. Y. Zhao

We theoretically consider, comparing with the existing experimental literature, the electrical conductivity of gated monolayer graphene as a function of carrier density, temperature, and disorder in order to assess the prospects of…

Mesoscale and Nanoscale Physics · Physics 2013-01-28 S. Das Sarma , E. H. Hwang

We theoretically calculate the phonon scattering limited electron mobility in extrinsic (i.e. gated or doped with a tunable and finite carrier density) 2D graphene layers as a function of temperature $(T)$ and carrier density $(n)$. We find…

Mesoscale and Nanoscale Physics · Physics 2008-05-12 E. H. Hwang , S. Das Sarma
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