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A tight-binding model with randomly fluctuating atomic positions is studied to discuss the effect of strong disorder in graphene. We employ a strong-disorder expansion for the transport quantities and find a diffusive behavior, where the…

Mesoscale and Nanoscale Physics · Physics 2008-04-22 K. Ziegler

We report on a first-principles study of the conductance through graphene suspended between Al contacts as a function of junction length, width, and orientation. The charge transfer at the leads and into the freestanding section gives rise…

Materials Science · Physics 2010-02-19 Salvador Barraza-Lopez , Mihajlo Vanevic , Markus Kindermann , Mei-Yin Chou

In this study, we have comprehensively investigated the scaling law for elastic properties of three-dimensional honeycomb-like graphenes (3D-graphenes) using hybrid neural network potential based molecular dynamics simulations and…

Materials Science · Physics 2025-09-10 Ming Li , Guo Lu , Haodong Yu , Menglei Li , Fawei Zheng

We report on the formation of critical states in disordered graphene, at the origin of variable and unconventional transport properties in the quantum Hall regime, such as a zero-energy Hall conductance plateau in the absence of an energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Nicolas Leconte , Frank Ortmann , Alessandro Cresti , Stephan Roche

We present a magneto-transport study of graphene samples into which a mild disorder was introduced by exposure to ozone. Unlike the conductivity of pristine graphene, the conductivity of graphene samples exposed to ozone becomes very…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 J. Moser , H. Tao , S. Roche , F. Alsina , C. M. Sotomayor Torres , A. Bachtold

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

We report and analyze low-temperature measurements of the conductance of partially disordered reduced graphene oxide, finding that the data follow a simple crossover scenario. At room temperature, conductance is dominated by two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2013-10-24 C. Y. Cheah , C. Gómez-Navarro , L. C. Jaurigue , A. B. Kaiser

We examine the charge transport through disordered arrays of metallic dots using numerical simulations. We find power law scaling in the current-voltage curves for arrays containing no voids, while for void-filled arrays charge bottlenecks…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. Reichhardt , C. J. Olson Reichhardt

Motivated by recent experiments on suspended graphene showing carrier mobilities as high as 200,000 cm^2/Vs, we theoretically calculate transport properties assuming Coulomb impurities as the dominant scattering mechanism. We argue that the…

Materials Science · Physics 2008-05-11 S. Adam , S. Das Sarma

The transport properties on the two-dimensional surface of coupled multilayer heterostructures are studied in the integer quantum Hall states. We emphasize the criticality of the surface state and the phase coherent transport properties in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Vasiliki Plerou , Ziqiang Wang

We demonstrate theoretically that most of the observed transport properties of graphene sheets at zero magnetic field can be explained by scattering from charged impurities. We find that, contrary to common perception, these properties are…

Mesoscale and Nanoscale Physics · Physics 2008-01-14 Shaffique Adam , E. H. Hwang , Victor Galitski , S. Das Sarma

We investigate the finite-size scaling behavior of the conductivity in a two-dimensional Dirac electron gas within a chiral sigma model. Based on the fact that the conductivity is a function of system size times scattering rate, we obtain a…

Mesoscale and Nanoscale Physics · Physics 2014-12-01 Andreas Sinner , Klaus Ziegler

We investigate the electron transport through a graphene p-n junction under a perpendicular magnetic field. By using Landauar-Buttiker formalism combining with the non-equilibrium Green function method, the conductance is studied for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Wen Long , Qing-feng Sun , Jian Wang

We discuss the effect of disorder on the band gap measured in bilayer graphene in optical and transport experiments. By calculating the optical conductivity and density of states using a microscopic model in the presence of disorder, we…

Mesoscale and Nanoscale Physics · Physics 2011-07-26 Hongki Min , D. S. L. Abergel , E. H. Hwang , S. Das Sarma

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…

Electron-electron (e-e) collisions can impact transport in a variety of surprising and sometimes counterintuitive ways. Despite strong interest, experiments on the subject proved challenging because of the simultaneous presence of different…

We study both monolayer and bilayer graphene transport properties taking into account the presence of correlations in the spatial distribution of charged impurities. In particular we find that the experimentally observed sublinear scaling…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Qiuzi Li , E. H. Hwang , E. Rossi

We study the conductivity of graphene with a smooth but particle-hole-asymmetric disorder potential. Using perturbation theory for the weak-disorder regime and numerical calculations we investigate how the particle-hole asymmetry shifts the…

Mesoscale and Nanoscale Physics · Physics 2016-01-12 Max Hering , Martin Schneider , Piet W. Brouwer

Using a generalized Landauer approach we study the non-linear transport in mesoscopic graphene with zig-zag and armchair edges. We find that for clean systems, the low-bias low-temperature conductance, G, of an armchair edge system in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. M. R. Peres , A. H. Castro Neto , F. Guinea

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
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