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Using the recursive Green's function method, we study the problem of electron transport in a disordered single-layer graphene sheet. The conductivity is of order $e^2/h$ and its dependence on the carrier density has a scaling form that is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Caio H. Lewenkopf , Eduardo R. Mucciolo , Antonio H. Castro Neto

We study quantum transport in Dirac materials with a single fermionic Dirac cone (strong topological insulators and graphene in the absence of intervalley coupling) in the presence of non-Gaussian long-range disorder. We show, by directly…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 E. Rossi , J. H. Bardarson , M. S. Fuhrer , S. Das Sarma

We study conductance fluctuations (CF) and the sensitivity of the conductance to the motion of a single scatterer in two-dimensional massless Dirac systems. Our extensive numerical study finds limits to the predicted universal value of CF.…

Mesoscale and Nanoscale Physics · Physics 2013-04-29 Mario F. Borunda , Jesse Berezovsky , Robert M. Westervelt , Eric J. Heller

The full counting statistics of the charge transport through an undoped graphene sheet in the presence of smooth disorder is studied. At the Dirac point both in clean and diffusive limits, transport properties of a graphene sample are…

Mesoscale and Nanoscale Physics · Physics 2010-10-11 A. Schuessler , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

We investigate the size scaling of the conductance of surface disordered graphene sheets of width W and length L. Metallic leads are attached to the sample ends across its width. At E ~ 0, the conductance scales with the system size as…

Mesoscale and Nanoscale Physics · Physics 2008-02-26 E. Louis , J. A. Verges , F. Guinea , G. Chiappe

The transport properties of disordered systems are known to depend critically on dimensionality. We study the diffusion coefficient of a quantum particle confined to a lattice on the surface of a tube, where it scales between the 1D and 2D…

Mesoscale and Nanoscale Physics · Physics 2016-05-18 Chern Chuang , Chee Kong Lee , Jeremy M. Moix , Jasper Knoester , Jianshu Cao

We investigate the transport of electrons in disordered and pristine graphene devices. Fano shot noise, a standard metric to assess the mechanism for electronic transport in mesoscopic devices, has been shown to produce almost the same…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Mario F. Borunda , H. Hennig , Eric J. Heller

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 DC conductivity of a weakly disordered 2D electron gas with two bands and spectral nodes, employing the field theoretical version of the Kubo--Greenwood conductivity formula. Disorder scattering is treated within the standard…

Mesoscale and Nanoscale Physics · Physics 2016-06-09 Andreas Sinner , Klaus Ziegler

We theoretically revisit graphene transport properties as a function of carrier density, taking into account possible correlations in the spatial distribution of the Coulomb impurity disorder in the environment. We find that the charged…

Mesoscale and Nanoscale Physics · Physics 2011-10-06 Qiuzi Li , E. H. Hwang , E. Rossi , S. Das Sarma

We investigate the universal properties of quantum transport in graphene nanowires that engender subtle universal conductance fluctuations. We present results for three of the main microscopic models that describe the sublattice of graphene…

Mesoscale and Nanoscale Physics · Physics 2020-09-07 Louis G. C. S. Sá , A. L. R. Barbosa , J. G. G. S. Ramos

We present a method for obtaining quantum transport properties in graphene that uniquely combines three crucial features: microscopic treatment of charge disorder, fully quantum mechanical analysis of transport, and the ability to model…

Mesoscale and Nanoscale Physics · Physics 2010-03-12 E. Rossi , J. H. Bardarson , P. W. Brouwer , S. Das Sarma

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

Conductions fluctuations (CF) are studied in single layer graphene devices with superconducting source and drain contacts made from aluminium. The CF are found to be enhanced by superconductivity by a factor of 1.4 to 2. This (near)…

Mesoscale and Nanoscale Physics · Physics 2011-09-19 F. Freitag , J. Trbovic , C. Schönenberger

The quantum Hall effect in graphene p-n junctions is studied numerically with emphasis on the effect of disorder at the interface of two adjacent regions. Conductance plateaus are found to be attached to the intensity of the disorder, and…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Jian Li , Shun-Qing Shen

Pristine graphene and graphene-based heterostructures exhibit exceptionally high electron mobility and conductance if their surface contains few electron-scattering impurities. Here, we reveal a universal connection between graphene's…

We have extended our supercomputer-enabled Monte Carlo simulations of hopping transport in completely disordered 2D conductors to the case of substantial electron-electron Coulomb interaction. Such interaction may not only suppress the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Y. A. Kinkhabwala , V. A. Sverdlov , K. K. Likharev

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

Graphene has been proposed as a promising material for future nanoelectronics because of its unique electronic properties. Understanding the scaling behavior of this new nanomaterial under common experimental conditions is of critical…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Yang Sui , Tony Low , Mark Lundstrom , Joerg Appenzeller

At low values of external doping graphene displays a wealth of unconventional transport properties. Perhaps most strikingly, it supports a robust 'metallic' regime, with universal conductance of the order of the conductance quantum. We here…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Altland
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