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Motivated by recent graphene transport experiments, we have undertaken a numerical study of the conductivity of disordered two-dimensional massless Dirac fermions. Our results reveal distinct differences between the cases of short-range and…

Mesoscale and Nanoscale Physics · Physics 2008-06-30 Kentaro Nomura , A. H. MacDonald

Despite extensive existing studies, a complete understanding of the role of disorder in affecting the physical properties of two-dimensional Dirac fermionic systems remains a standing challenge, largely due to obstacles encountered in…

Mesoscale and Nanoscale Physics · Physics 2023-08-04 Bo Fu , Yanru Chen , Weiwei Chen , Wei Zhu , Ping Cui , Qunxiang Li , Zhenyu Zhang , Qinwei Shi

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 study charge transport in one-dimensional graphene superlattices created by applying layered periodic and disordered potentials. It is shown that the transport and spectral properties of such structures are strongly anisotropic. In the…

Mesoscale and Nanoscale Physics · Physics 2010-11-09 Yury P. Bliokh , Valentin Freilikher , Sergey Savel'ev , Franco Nori

An analytic theory of electron transport in disordered graphene in a ballistic geometry is developed. We consider a sample of a large width W and analyze the evolution of the conductance, the shot noise, and the full statistics of the…

Mesoscale and Nanoscale Physics · Physics 2009-02-03 A. Schuessler , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

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

We develop a general hydrodynamic framework for computing direct current thermal and electric transport in a strongly interacting finite temperature quantum system near a Lorentz-invariant quantum critical point. Our framework is…

Strongly Correlated Electrons · Physics 2016-02-24 Andrew Lucas , Jesse Crossno , Kin Chung Fong , Philip Kim , Subir Sachdev

We model disorder in graphene by random impurities treated in a coherent-potential approximation. Using the analytically solvable Lloyd model for the disorder distribution, we show that the temperature dependence of the minimum conductivity…

Mesoscale and Nanoscale Physics · Physics 2012-03-13 Michael Sentef , Marcus Kollar , Arno P. Kampf

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

We study transport of two-dimensional quasi-relativistic electronic excitations in graphene in the presence of static long-range-correlated random scalar and vector potentials. Using a combination of perturbation theory and path-integral…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 D. V. Khveshchenko

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

Using the semi-classical Boltzmann theory, we calculate the conductivity as function of the carrier density. As usually, we include the scattering from charged impurities, but conclude that the estimated impurity density is too low in order…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Stauber , N. M. R. Peres , F. Guinea

We investigate thermoelectric transport in monolayer graphene across a finite complex barrier within a Landauer scattering framework. Solving the Dirac-Weyl problem exactly, we show that the imaginary part of the barrier renders the…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Daniel A. Bonilla , Juan A. Cañas , J. C. Pérez-Pedraza , A. Martín-Ruiz

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

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

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

We study the transport of charge carriers through finite graphene structures. The use of numerical exact kernel polynomial and Green function techniques allows us to treat actual sized samples beyond the Dirac-cone approximation.…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 A. Pieper , G. Schubert , G. Wellein , H. Fehske

Real-world samples of graphene often exhibit various types of out-of-plane disorder -- ripples, wrinkles and folds -- introduced at the stage of growth and transfer processes. These complex out-of-plane defects resulting from the interplay…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Yifei Guan , Oleg V. Yazyev

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…

We present a detailed study of the high-current transport properties of graphene devices patterned in a four-point configuration. The current tends to saturate as the voltage across graphene is increased but never reaches the complete…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Amelia Barreiro , Michele Lazzeri , Joel Moser , Francesco Mauri , Adrian Bachtold