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We present numerical studies of conduction in graphene nanoribbons with different types of disorder. We find that even when defect scattering depresses the conductance to values two orders of magnitude lower than 2e^2/h, equally spaced…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 S. Ihnatsenka , G. Kirczenow

We have considered the conductivity properties of a two dimensional electron gas (2DEG) in two different kinds of inhomogeneous magnetic fields, i.e.\ a disordered distribution of magnetic flux vortices, and a periodic array of magnetic…

Condensed Matter · Physics 2016-08-14 Mads Nielsen , Per Hedegård

We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder at half filling. We show that the transport properties of the system depend strongly on the symmetry of disorder. We find that…

Mesoscale and Nanoscale Physics · Physics 2007-10-04 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

We study the Landau level localization and scaling properties of a disordered two-dimensional electron gas in the presence of a strong external magnetic field. The impurities are treated as random distributed scattering centers with…

Condensed Matter · Physics 2009-10-22 Dongzi Liu , S. Das Sarma

We analyze the full transport statistics of graphene with smooth disorder at low dopings. First we consider the case of 1D disorder for which the transmission probability distribution is given analytically in terms of the graphene-specific…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 P. San-Jose , E. Prada , D. S. Golubev

We show that a coherent picture of the dc conductivity of monolayer and bilayer graphene at finite electronic densities emerges upon considering that strong short-range potentials are the main source of scattering in these two systems. The…

Mesoscale and Nanoscale Physics · Physics 2011-04-08 A. Ferreira , J. Viana Gomes , Johan Nilsson , Eduardo R. Mucciolo , N. M. R. Peres , A. H. Castro Neto

The electrical {\em dc}-conductivity of disordered, non-interacting electrons is calculated in the asymptotic limit of high lattice dimensions $d\to \infty$. To go beyond the lowest-order contribution in the expansion parameter $1/d$ of the…

Strongly Correlated Electrons · Physics 2009-10-31 V. Janis , D. Vollhardt

The DC conductivity of monolayer and bilayer graphene is studied perturbatively for different types of disorder. In the case of monolayer, an exact cancellation of logarithmic divergences occurs for all disorder types. The total…

Disordered Systems and Neural Networks · Physics 2011-12-05 Andreas Sinner , Klaus Ziegler

An efficient computational methodology is used to explore charge transport properties in chemically-modified (and randomly disordered) graphene-based materials. The Hamiltonians of various complex forms of graphene are constructed using…

Mesoscale and Nanoscale Physics · Physics 2011-12-16 Nicolas Leconte , Aurélien Lherbier , François Varchon , Pablo Ordejon , Stephan Roche , Jean-Christophe Charlier

Based on the non-crossing approximation, we calculate both the linear and nonlinear conductance within the two-lead two-channel single-impurity Anderson model where the conduction electron density of states vanishes in a power-law fashion $…

Strongly Correlated Electrons · Physics 2013-02-20 Tsung-Han Lee , Kenneth Yi-Jieh Zhang , Chung-Hou Chung , Stefan Kirchner

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 investigate the conductivity of doped graphene in the semiclassical Boltzmann limit, as well as the conductivity minimum within the self-consistent transport theory. Using the hard-disk model for a two-dimensional distribution of…

Materials Science · Physics 2013-11-21 Rastko Aničić , Zoran L. Mišković

Transport properties of disordered electron system can be characterized by the conductance, Lyapunov exponent, or level spacing. Two additional parameters, $K_{11}$ and $\gamma $ were introduced recently which measure the non-homogeneity of…

Disordered Systems and Neural Networks · Physics 2015-03-17 P. Markos

We compute the DC and the optical conductivity of graphene for finite values of the chemical potential by taking into account the effect of disorder, due to mid-gap states (unitary scatterers) and charged impurities, and the effect of both…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Stauber , N. M. R. Peres , A. H. Castro Neto

The minimal conductivity of graphene is a quantity measured in the DC limit. It is shown, using the Kubo formula, that the actual value of the minimal conductivity is sensitive to the order in which certain limits are taken. If the DC limit…

Disordered Systems and Neural Networks · Physics 2007-06-19 K. Ziegler

We study the conductance of disordered graphene superlattices with short-range structural correlations. The system consists of electron- and hole-doped graphenes of various thicknesses, which fluctuate randomly around their mean value. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 N. Abedpour , Ayoub Esmailpour , Reza Asgari , M. Reza Rahimi Tabar

We have considered the conductivity properties of a two dimensional electron gas (2DEG) in two different kinds of inhomogeneous magnetic fields, i.e. a disordered distribution of magnetic flux vortices, and a periodic array of magnetic flux…

Condensed Matter · Physics 2009-10-22 Mads Nielsen , Per Hedegaard

We consider a disordered two-dimensional system of independent lattice electrons in a perpendicular magnetic field with rigid confinement in one direction and generalized periodic boundary conditions (GPBC) in the other direction. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Christian Schulze , János Hajdu , Bodo Huckestein , Martin Janssen

Carrier transport in gated 2D graphene monolayers is theoretically considered in the presence of scattering by random charged impurity centers with density $n_i$. Excellent quantitative agreement is obtained (for carrier density $n >…

Mesoscale and Nanoscale Physics · Physics 2007-10-09 E. H. Hwang , S. Adam , S. Das Sarma

Charge carrier transport in single-layer graphene with one-dimensional charged defects is studied theoretically. Extended charged defects, considered an important factor for mobility degradation in chemically-vapor-deposited graphene, are…

Mesoscale and Nanoscale Physics · Physics 2013-08-15 T. M. Radchenko , A. A. Shylau , I. V. Zozoulenko , A. Ferreira