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We show that the optical transparency of suspended graphene is defined by the fine structure constant, alpha, the parameter that describes coupling between light and relativistic electrons and is traditionally associated with quantum…

Mesoscale and Nanoscale Physics · Physics 2008-06-08 R. R. Nair , P. Blake , A. N. Grigorenko , K. S. Novoselov , T. J. Booth , T. Stauber , N. M. R. Peres , A. K. Geim

The reflectance of graphene is investigated in the framework of the Dirac model with account of its realistic properties, such as nonzero chemical potential and band gap, at any temperature. For this purpose, the exact reflection…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

We theoretically consider the effect of plasmon collective modes on the frequency-dependent conductivity of graphene in the presence of the random static potential of charged impurities. We develop an equation of motion approach suitable…

Mesoscale and Nanoscale Physics · Physics 2013-08-09 K. Kechedzhi , S. Das Sarma

Relativistic Brownian motion can be inexpensively demonstrated on a graphene chip. The interplay of stochastic and relativistic dynamics, governing the transport of charge carrier in graphene, induces noise-controlled effects such as (i) a…

Statistical Mechanics · Physics 2015-05-27 Andrey Pototsky , Fabio Marchesoni , Feodor V. Kusmartsev , Peter Hänggi , Sergey E. Savel'ev

We consider the dynamics of charge carriers in single-layer graphene that are subject to random temporal fluctuations of their mass gap. The optical conductivity is calculated by incorporating the quantum-stochastic time evolution into the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 J. Z. Bernád

We study non-linear dc transport in graphene using a hydrodynamic approach and conclude that in clean samples the drift velocity saturates at a weakly density-dependent value v_{sat} ~ 10^7 cm/s. We show that saturation results from the…

Other Condensed Matter · Physics 2015-05-13 R. Bistritzer , A. H. MacDonald

The electronic transport properties of single layer graphene having a dilute coating of indium adatoms has been investigated. Our studies establish that isolated indium atoms donate electrons to graphene and become a source of charged…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 U. Chandni , Erik A. Henriksen , J. P. Eisenstein

For a sample of an arbitrary shape, the dependence of its conductance on the longitudinal and Hall conductivity is identical to that of a rectangle. We use analytic results for a conducting rectangle, combined with the semicircle model for…

Mesoscale and Nanoscale Physics · Physics 2008-07-12 Dmitry A. Abanin , Leonid S. Levitov

Electron transport in bilayer graphene is studied by using a first principles analysis and theMonte Carlo simulation under conditions relevant to potential applications. While the intrinsic properties are found to be much less desirable in…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 X. Li , K. M. Borysenko , M. Buongiorno Nardelli , K. W. Kim

In this work, high field carrier transport in two dimensional (2D) graphene is investigated. Analytical models are applied to estimate the saturation currents in graphene, based on the high scattering rate of optical phonon emission.…

Materials Science · Physics 2011-09-13 Tian Fang , Aniruddha Konar , Huili Xing , Debdeep Jena

The electrical conductivity of suspended graphene has recently been measured for the first time, and found to behave as \sigma ~ \sqrt{|n|} as expected for Dirac quasiparticles at large carrier density. The charge inhomogeneity is strongly…

Strongly Correlated Electrons · Physics 2016-08-14 Joaquín E. Drut , Timo A. Lähde , Eero Tölö

We investigate the conductivity $\sigma$ of graphene nanoribbons with zigzag edges as a function of Fermi energy $E_F$ in the presence of the impurities with different potential range. The dependence of $\sigma(E_F)$ displays four different…

Mesoscale and Nanoscale Physics · Physics 2007-08-20 Yan-Yang Zhang , Jiang-Ping Hu , X. C. Xie , W. M. Liu

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

We explore the longitudinal conductivity of graphene at the Dirac point in a strong magnetic field with two types of short-range scatterers: adatoms that mix the valleys and "scalar" impurities that do not mix them. A scattering theory for…

Mesoscale and Nanoscale Physics · Physics 2014-01-16 S. Gattenloehner , W. -R. Hannes , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin , M. Titov

We show that transport in low-dimensional carbon structures with finite concentrations of scatterers can be modeled by utilising scaling theory and effective cross sections. Our reults are based on large scale numerical simulations of…

Mesoscale and Nanoscale Physics · Physics 2012-01-06 Andreas Uppstu , Karri Saloriutta , Ari Harju , Martti Puska , Antti-Pekka Jauho

We experimentally investigate electrical transport properties of graphene, which is a two dimensional (2D) conductor with relativistic energy dispersion relation. By investigating single- and bi-layer graphene devices with different aspect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Miao , S. Wijeratne , U. Coskun , Y. Zhang , C. N. Lau

We calculate the optical (cutoff >> frequency >> temperature) conductivity in clean graphene in the ultimate low-energy regime, when retardation effects of the electromagnetic interaction become important and when the full Lorentz symmetry…

Strongly Correlated Electrons · Physics 2013-06-12 Igor F. Herbut , Vieri Mastropietro

We study the effects of disorder on bilayer graphene using four different microscopic models and directly compare their results. We compute the self-energy, density of states, and optical conductivity in the presence of short-ranged…

Mesoscale and Nanoscale Physics · Physics 2012-01-27 D. S. L. Abergel , Hongki Min , E. H. Hwang , S. Das Sarma

We study the low-energy electronic transport across periodic extended defects in graphene. In the continuum low-energy limit, such defects act as infinitesimally thin stripes separating two regions where Dirac Hamiltonian governs the…

Mesoscale and Nanoscale Physics · Physics 2012-12-14 J. N. B. Rodrigues , N. M. R. Peres , J. M. B. Lopes dos Santos

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
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