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Disorder effects strongly influence the transport properties of graphene based nanodevices even to the point of Anderson localization. Focusing on the local density of states and its distribution function, we analyze the localization…

Strongly Correlated Electrons · Physics 2015-05-13 Gerald Schubert , Jens Schleede , Holger Fehske

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

Conductance fluctuations produced by the presence of disorder in zigzag and armchair graphene nanoribbons are studied. We show that quantum transport in zigzag nanoribbons takes place via edge states which are exponentially localized, as in…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Ioannis Kleftogiannis , Ilias Amanatidis , Victor A. Gopar

We investigate the diffusive electron-transport properties of charge-doped graphene ribbons and nanoribbons with imperfect edges. We consider different regimes of edge scattering, ranging from wide graphene ribbons with (partially)…

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

Charge transport in disordered two-dimensional (2D) systems showcases a myriad of unique phenomenologies that highlight different aspects of the underlying quantum dynamics. Electrons in such systems undergo a crossover from ballistic…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 H. P. Veiga , S. M. João , J. M. Alendouro Pinho , J. P. Santos Pires , J. M. Viana Parente Lopes

Two-dimensional graphene, carbon nanotubes and graphene nanoribbons represent a novel class of low dimensional materials that could serve as building blocks for future carbon-based nanoelectronics. Although these systems share a similar…

Mesoscale and Nanoscale Physics · Physics 2009-06-05 Alessandro Cresti , Norbert Nemec , Blanca Biel , Gabriel Niebler , Francois Triozon , Gianaurelio Cuniberti , Stephan Roche

Electronic transport with a line (or a few lines) of Anderson type disorder in a zigzag graphene nanoribbon is investigated in presence of Rashba spin-orbit interaction. Such line disorders give rise to peculiar behavior in both charge as…

Mesoscale and Nanoscale Physics · Physics 2019-01-01 Sudin Ganguly , Saurabh Basu , Santanu K. Maiti

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

Explicit expressions of the band spectrum near the neutrality point for armchair and zigzag graphene ribbons and carbon nanotubes were derived based on a tight-binding macromolecule model of graphene. The obtained dispersion relations are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Lyuba Malysheva , Alexander Onipko

We study one dimensional (1D) carbon ribbons with the armchair edges and the zigzag carbon nanotubes and their counterparts with finite length (0D) in the framework of the H\"{u}ckel model. We prove that a 1D carbon ribbon is metallic if…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. V. Nikolaev , A. V. Bibikov , A. V. Avdeenkov , I. V. Bodrenko , E. V. Tkalya

Graphene nanoribbons and constrictions are envisaged as fundamental components of future carbon-based nanoelectronic and spintronic devices. At nanoscale, electronic effects in these devices depend heavily on the dimensions of the active…

We study the effect of the edge disorder on the conductance of the graphene nanoribbons (GNRs). We find that only very modest edge disorder is sufficient to induce the conduction energy gap in the otherwise metallic GNRs and to lift any…

Mesoscale and Nanoscale Physics · Physics 2008-12-17 M. Evaldsson , I. V. Zozoulenko , Hengyi Xu , T. Heinzel

We present a numerical study of electromagnetic wave transport in disordered quasi-one-dimensional waveguides at terahertz frequencies. Finite element method calculations of terahertz wave propagation within LiNbO$_{3}$ waveguides with…

We study the electronic properties of actual-size graphene nanoribbons subjected to substitutional disorder particularly with regard to the experimentally observed metal-insulator transition. Calculating the local, mean and typical density…

Strongly Correlated Electrons · Physics 2012-02-13 Gerald Schubert , Holger Fehske

Atomically precise armchair graphene nanoribbons of width $N=7$ (7-AGNRs) are investigated by scanning tunneling spectroscopy (STS) on Au(111). The analysis of energy-dependent standing wave patterns of finite length ribbons allows, by…

We investigated the atomic structures, Raman spectroscopic and electrical transport properties of individual graphene nanoribbons (GNRs, widths ~10-30 nm) derived from sonochemical unzipping of multi-walled carbon nanotubes (MWNTs).…

Materials Science · Physics 2011-06-21 Liming Xie , Hailiang Wang , Chuanhong Jin , Xinran Wang , Liying Jiao , Kazu Suenaga , Hongjie Dai

Carbon nanotubes are of central importance for applications in nano-electronics thanks to their exceptional transport properties. They can be used as sensors, for example in biological applications, provided that they are functionalized to…

Mesoscale and Nanoscale Physics · Physics 2020-04-14 Ghassen Jemaï , Jouda Khabthani , Guy Trambly de Laissardière , Didier Mayou

We revisit the problem of electron transport in clean and disordered zigzag graphene nanoribbons, and expose numerous hitherto unknown peculiar properties of these systems at zero energy, where both sublattices decouple because of chiral…

Mesoscale and Nanoscale Physics · Physics 2014-12-16 J. M. Luck , Y. Avishai

We consider electronic spectra of graphene nanotubes and their perturbation by impurity atoms absorbed at different positions on nanotube surfaces, within the framework of Anderson hybrid model. A special attention is given to the cases…

Mesoscale and Nanoscale Physics · Physics 2024-06-17 Y. G. Pogorelov , V. M. Loktev
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