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Perturbations of the two dimensional carbon lattice of graphene, such as grain boundaries, have significant influence on the charge transport and mechanical properties of this material. Scanning tunneling microscopy measurements presented…

We report on a numerical study of quantum transport in disordered two dimensional graphene and graphene nanoribbons. By using the Kubo and the Landauer approaches, transport length scales in the diffusive (mean free path, charge mobilities)…

Mesoscale and Nanoscale Physics · Physics 2011-05-17 Aurelien Lherbier , Blanca Biel , Yann-Michel Niquet , Stephan Roche

Voltage is a sensitive quantity to quantum interference in coherent electronic transport. We study the voltage fluctuations in disordered graphene nanoribbons with zigzag and armchair edge terminations in a four-terminal configuration. We…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Pablo Encarnación , Victor A. Gopar

The recent discovery of methods to isolate graphene, a one-atom-thick layer of crystalline carbon, has raised the possibility of a new class of nano-electronics devices based on the extraordinary electrical transport and unusual physical…

Mesoscale and Nanoscale Physics · Physics 2008-10-02 Xu Du , Ivan Skachko , Anthony Barker , Eva Y. Andrei

Charge transport at the Dirac point in bilayer graphene exhibits two dramatically different transport states, insulating and metallic, that occur in apparently otherwise indistinguishable experimental samples. We demonstrate that the…

Materials Science · Physics 2017-09-01 Sam Shallcross , Sangeeta Sharma , Heiko B. Weber

We develop a theory for the compressibility and quantum capacitance of disordered monolayer and bilayer graphene including the full hyperbolic band structure and band gap in the latter case. We include the effects of disorder in our theory,…

Mesoscale and Nanoscale Physics · Physics 2011-03-09 D. S. L. Abergel , E. H. Hwang , S. Das Sarma

Gradual localization of charge carriers was studied in a series of micro-size samples of monolayer graphene fabricated on the common large scale film and irradiated by different doses of C$^+$ ions with energy 35 keV. Measurements of the…

Mesoscale and Nanoscale Physics · Physics 2015-07-29 E. Zion , A. Haran , A. V. Butenko , L. Wolfson , Yu. Kaganovskii , T. Havdala , A. Sharoni , D. Naveh , V. Richter , M. Kaveh , E. Kogan , I. Shlimak

We study transport length scales in carbon nanotubes and graphene ribbons under the influence of Anderson disorder. We present generalized analytical expressions for the density of states, the elastic mean free path and the localization…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Norbert Nemec , Klaus Richter , Gianaurelio Cuniberti

We investigate, in the framework of macroscopic Dirac model, the spectrum, charge density and conductivity of metallic armchair graphene nanoribbons in presence of different mass terms. We reveal the conditions and symmetries governing the…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 C. G. Beneventano , I. V. Fialkovsky , M. Nieto , E. M. Santangelo

The coupling of geometrical and electronic properties is a promising venue to engineer conduction properties in graphene. Confinement added to strain allows for interplay of different transport mechanisms with potential device applications.…

Mesoscale and Nanoscale Physics · Physics 2014-08-14 R. Carrillo-Bastos , D. Faria , A. Latgé , F. Mireles , N. Sandler

We discuss localization properties of the Dirac-like electronic states in monolayers of graphite. In the framework of a general disorder model, we identify the conditions under which such standard localization effects as logarithmic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. V. Khveshchenko

A brief review of experiments directed to study a gradual localization of charge carriers and metal-insulator transition in samples of disordered monolayer graphene is presented. Disorder was induced by irradiation with different doses of…

Mesoscale and Nanoscale Physics · Physics 2019-07-25 I. Shlimak , E. Zion , A. Butenko , Yu. Kaganovskii , V. Richter , A. Sharoni , E. Kogan , M. Kaveh

In this paper, we propose a combined modeling of molecular mechanics (MM) and the tight-binding (TB) approach, which enables us to study the effect of factors such as external local forces, constraints, and vacancy defects on electronic…

Computational Physics · Physics 2021-03-11 Mahnoosh Rostami , Isa Ahmadi , Farhad Khoeini

Porous graphene (PG) forms a class of graphene-related materials with nanoporous architectures. Their unique atomic arrangements present interconnected networks with high surface area and high pore volume. Some remarkable properties of PG,…

The influence of carrier density on magnetism in a zigzag graphene nanoribbon is studied in a $\pi$-orbital Hubbard-model mean-field approximation. Departures from half-filling alter the magnetism, leading to states with charge density…

Mesoscale and Nanoscale Physics · Physics 2011-01-31 J. Jung , A. H. MacDonald

Graphene nanoribbons (GNR) in mutually perpendicular electric and magnetic fields are shown to exhibit dramatic changes in their band structure and electron transport properties. A strong electric field across the ribbon induces multiple…

Materials Science · Physics 2015-05-18 Oleksiy Roslyak , Godfrey Gumbs , Danhong Huang

We simulate electron transport through graphene nanoribbons of experimentally realizable size (length L up to 2 micrometer, width W approximately 40 nm) in the presence of scattering at rough edges. Our numerical approach is based on a…

Mesoscale and Nanoscale Physics · Physics 2012-12-11 F. Libisch , S. Rotter , J. Burgdörfer

Random fluctuations of the shot-noise power in disordered graphene nanoribbons are studied. In particular, we calculate the distribution of the shot noise of nanoribbons with zigzag and armchair edge terminations. We show that the shot…

Mesoscale and Nanoscale Physics · Physics 2015-12-14 Victor A. Gopar

An analytic theory of electron transport in disordered graphene in a ballistic geometry is developed. We consider a sample of a large width W and analyze the evolution of the conductance, the shot noise, and the full statistics of the…

Mesoscale and Nanoscale Physics · Physics 2009-02-03 A. Schuessler , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

From the moment atomic precision control of the growth process of graphene was achieved, more elaborated carbon allotropes were proposed opening new channels for flat optoelectronics at the nanoscale. A special type of this material…