Effective medium theory for disordered two-dimensional graphene

被引:85
作者
Rossi, Enrico [1 ]
Adam, S. [1 ]
Das Sarma, S. [1 ]
机构
[1] Univ Maryland, Dept Phys, Condensed Matter Theory Ctr, College Pk, MD 20742 USA
来源
PHYSICAL REVIEW B | 2009年 / 79卷 / 24期
关键词
Coulomb blockade; Dirac equation; electron theory; exchange interactions (electron); graphene; impurities; CONDUCTIVITY;
D O I
10.1103/PhysRevB.79.245423
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We develop an effective medium theory to study the electrical transport properties of disordered graphene. The theory includes nonlinear screening and exchange-correlation effects allowing us to consider experimentally relevant strengths of the Coulomb interaction. Assuming random Coulomb impurities, we calculate the electrical conductivity as a function of gate voltage describing quantitatively the full cross over from the fluctuations dominated regime around the Dirac point to the large doping regime at high gate voltages. We find that the conductivity at the Dirac point is strongly affected by exchange-correlation effects.
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页数:7
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共 42 条
[1]   Density inhomogeneity driven percolation metal-insulator transition and dimensional crossover in graphene nanoribbons [J].
Adam, S. ;
Cho, S. ;
Fuhrer, M. S. ;
Das Sarma, S. .
PHYSICAL REVIEW LETTERS, 2008, 101 (04)
[2]   A self-consistent theory for graphene transport [J].
Adam, Shaffique ;
Hwang, E. H. ;
Galitski, V. M. ;
Das Sarma, S. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2007, 104 (47) :18392-18397
[3]   Crossover from quantum to Boltzmann transport in graphene [J].
Adam, Shaffique ;
Brouwer, Piet W. ;
Das Sarma, S. .
PHYSICAL REVIEW B, 2009, 79 (20)
[4]   Screening effect and impurity scattering in monolayer graphene [J].
Ando, Tsuneya .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2006, 75 (07)
[5]   One-parameter scaling at the dirac point in graphene [J].
Bardarson, J. H. ;
Tworzydlo, J. ;
Brouwer, P. W. ;
Beenakker, C. W. J. .
PHYSICAL REVIEW LETTERS, 2007, 99 (10)
[6]   Chirality and correlations in graphene [J].
Barlas, Yafis ;
Pereg-Barnea, T. ;
Polini, Marco ;
Asgari, Reza ;
MacDonald, A. H. .
PHYSICAL REVIEW LETTERS, 2007, 98 (23)
[7]   Exchange-induced charge inhomogeneities in rippled neutral graphene [J].
Brey, L. ;
Palacios, J. J. .
PHYSICAL REVIEW B, 2008, 77 (04)
[9]   The electronic properties of graphene [J].
Castro Neto, A. H. ;
Guinea, F. ;
Peres, N. M. R. ;
Novoselov, K. S. ;
Geim, A. K. .
REVIEWS OF MODERN PHYSICS, 2009, 81 (01) :109-162
[10]   Random resistor network model of minimal conductivity in graphene [J].
Cheianov, Vadim V. ;
Fal'ko, Vladimir I. ;
Altshuler, Boris L. ;
Aleiner, Igor L. .
PHYSICAL REVIEW LETTERS, 2007, 99 (17)