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In an ideal graphene sheet charge carriers behave as two-dimensional (2D) Dirac fermions governed by the quantum mechanics of massless relativistic particles. This has been confirmed by the discovery of a half-integer quantum Hall effect in…

Materials Science · Physics 2015-05-13 Yuanbo Zhang , Victor W. Brar , Caglar Girit , Alex Zettl , Michael F. Crommie

Since the experimental realization of graphene1, extensive theoretical work has focused on short-range disorder2-5, ''ripples''6, 7, or charged impurities2, 3, 8-13 to explain the conductivity as a function of carrier density…

Other Condensed Matter · Physics 2009-11-13 J. H. Chen , C. Jang , M. S. Fuhrer , E. D. Williams , M. Ishigami

Charge carriers in a graphene sheet, a single layer of graphite, exhibit much distinctive characteristics to those in other two-dimensional electronic systems because of their chiral nature. In this report, we focus on the observation of…

Mesoscale and Nanoscale Physics · Physics 2012-05-28 Dong-Keun Ki , Dongchan Jeong , Jae-Hyun Choi , Kee-Su Park , Hu-Jong Lee

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

Intervalley charged-impurity scattering processes are examined. It is found that the scattering probability is enhanced due to the Coulomb interaction with the impurity by the Sommerfield factor $F_Z\propto \epsilon^{2\sqrt{1-4g^2}-2}$,…

Mesoscale and Nanoscale Physics · Physics 2014-12-30 L. S. Braginsky , M. V. Entin

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

We discuss the contribution of edge scattering to the conductance of graphene nanoribbons and nanoflakes. Using different possible types of the boundary conditions for the electron wave function at the edge, we found dependences of the…

Mesoscale and Nanoscale Physics · Physics 2014-01-01 V. K. Dugaev , M. I. Katsnelson

We consider a problem of obtaining information about the scattering potentials of the monolayer graphene sample using available experimental data on its resistance. We have in mind a development of the study describing super-high mobility…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 N. E. Firsova. S. A. Ktitorov

Using quasi-time dependent semi-classical transport theory in RTA, we obtained coupled current equations in the presence of time varying field and based on general scattering mechanism $\tau \propto \mathcal{E}^{\beta}$. We find that close…

Materials Science · Physics 2015-03-19 M. Rabiu , S. Y. Mensah , S. S. Abukari

We consider the Zitterbewegung of Dirac electrons in the monolayer graphene as the nonrelativistic analog of the phenomenon predicted by E. Schr\"odinger for the relativistic electrons in the free space. So we show that the Dirac electrons…

Mesoscale and Nanoscale Physics · Physics 2020-04-24 Natalie E. Firsova , Sergey A. Ktitorov

We study the effect of the curved ripples observed in the free standing graphene samples on the electronic structure of the system. We model the ripples as smooth curved bumps and compute the Green's function of the Dirac fermions in the…

Strongly Correlated Electrons · Physics 2009-11-13 Fernando de Juan , Alberto Cortijo , María A. H. Vozmediano

The effect of various dielectrics on charge mobility in single layer graphene is investigated. By calculating the remote optical phonon scattering arising from the polar substrates, and combining it with their effect on Coulombic impurity…

Materials Science · Physics 2015-05-13 Aniruddha Konar , Tian Fang , Debdeep Jena

Detailed experimental and theoretical studies of the temperature dependence of the effect of different scattering mechanisms on electrical transport properties of graphene devices are presented. We find that for high mobility devices the…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 Suman Sarkar , Kazi Rafsanjani Amin , Ranjan Modak , Amandeep Singh , Subroto Mukerjee , Aveek Bid

Graphene is an attractive material for microelectronics applications, given such favourable electrical characteristics as high mobility, high operating frequency, and good stability. If graphene is to be implemented in electronic devices on…

Materials Science · Physics 2019-06-14 B. C. Worley , S. Kim , T. J. Ha , S. Park , R. Haws , P. Rossky , D. Akinwande , A. Dodabalapur

The response of Dirac fermions to a Coulomb potential is predicted to differ significantly from the behavior of non-relativistic electrons seen in traditional atomic and impurity systems. Surprisingly, many key theoretical predictions for…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Yang Wang , Victor W. Brar , Andrey V. Shytov , Qiong Wu , William Regan , Hsin-Zon Tsai , Alex Zettl , Leonid S. Levitov , Michael F. Crommie

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

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

We report the direct observation of polarization resolved electronic Raman scattering in a gated monolayer graphene device. The evolution of the electronic Raman scattering spectra with gate voltage and its polarization dependence are in…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 E. Riccardi , M. A. Measson , M. Cazayous , A. Sacuto , Y. Gallais

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

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