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As a particular application of the earlier proposed model of graphene as a macromolecule, we found the exact analytical expression of dispersion relation for the band of edge states in graphene zigzag ribbons. This band is often referred to…

Mesoscale and Nanoscale Physics · Physics 2008-05-08 Lyuba Malysheva , Alexander Onipko

The honeycomb carbon structure of graphene and nanotubes has a dynamics which can give rise to a spectrum. This can be excited via the interaction with an external electromagnetic field. In this work, non-linear waves on graphene and…

Mesoscale and Nanoscale Physics · Physics 2013-02-18 C. E. Cordeiro , A. Delfino , T. Frederico , O. Oliveira , W. de Paula

Herein, we investigate the structural, electronic and mechanical properties of zigzag graphene nanoribbons upon the presence of stress applying Density Functional Theory within the GGA-PBE approximation. The uniaxial stress is applied along…

Materials Science · Physics 2015-05-13 Ricardo Faccio , Pablo A. Denis , Helena Pardo , Cecilia Goyenola , Alvaro W. Mombru

We introduce graphene antidot lattice waveguides: nanostructured graphene where a region of pristine graphene is sandwiched between regions of graphene antidot lattices. The band gap in the surrounding antidot lattices enable localized…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 Jesper Goor Pedersen , Tue Gunst , Troels Markussen , Thomas Garm Pedersen

Carrier injection into carbon nanotubes and graphene nanoribbons, contacted by a metal coating over an arbitrary length, is studied by various means: Minimal models allow for exact analytic solutions which can be transferred to the original…

Mesoscale and Nanoscale Physics · Physics 2008-04-30 Norbert Nemec , David Tomanek , Gianaurelio Cuniberti

We study the effects of the long-range disorder potential and warping on the conductivity and mobility of graphene ribbons using the Landauer formalism and the tight-binding p-orbital Hamiltonian. We demonstrate that as the length of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 J. W. Klos , A. A. Shylau , I. V. Zozoulenko , Hengyi Xu , T. Heinzel

Topic of the thesis is a theoretical description of the ultracold atomic gases in one- and two-dimensional optical lattices in the presence of the disorder leading to the Anderson localization. The disorder is created by interaction of the…

Quantum Gases · Physics 2017-07-19 Jan Major

Localization properties of quasi-one dimensional quantum wire nanostructures are investigated using the transfer matrix-Lyapunov exponent technique. We calculate the localization length as a function of the effective mean-field mobility…

Condensed Matter · Physics 2016-08-31 Dongzi Liu , S. Das Sarma

Graphene nanoribbon folds with single and double closed edges are studied using density functional theory methods. Van der Waals dispersive interactions are included via semi-empirical pairwise optimized potential. The geometrical phases of…

Materials Science · Physics 2013-05-09 Nam B. Le , Lilia M. Woods

Quantum size effects in armchair graphene nano-ribbons (AGNR) with hydrogen termination are investigated via density functional theory (DFT) in Kohn-Sham formulation. "Selection rules" will be formulated, that allow to extract…

Mesoscale and Nanoscale Physics · Physics 2012-03-27 A. Dasgupta , S. Bera , F. Evers , M. J. van Setten

Properties of bulk and boundaries of materials can, in general, be quite different, both for topological and non-topological reasons. One of the simplest boundary problems to pose is the tight-binding problem of noninteracting electrons on…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Anton Talkachov , Egor Babaev

We will present brief overview on the electronic and transport properties of graphene nanoribbons focusing on the effect of edge shapes and impurity scattering. The low-energy electronic states of graphene have two non-equivalent massless…

Mesoscale and Nanoscale Physics · Physics 2009-09-30 Katsunori Wakabayashi , Yositake Takane , Masayuki Yamamoto , Manfred Sigrist

Electron transport in small graphene nanoribbons is studied by microwave emulation experiments and tight-binding calculations. In particular, it is investigated under which conditions a transport gap can be observed. Our experiments provide…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 Thomas Stegmann , John A. Franco-Villafañe , Ulrich Kuhl , Fabrice Mortessagne , Thomas H. Seligman

Zigzag phosphorene nanoribbons have quasi-flat band edge modes entirely detached from the bulk states. We analytically study the electronic transport through such edge states in the presence of a localized defect for semi-infinite and…

Disordered Systems and Neural Networks · Physics 2019-03-26 M. Amini , M. Soltani

The experimentally observed metal-to-insulator transition in hydrogenated graphene is numerically confirmed for actual sized graphene samples and realistic impurity concentrations. The eigenstates of our tight-binding model with…

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

We investigate localization effects in zigzag graphene nanoribbons with quasiperiodic Fibonacci-type edge extensions, accounting for electron-electron interactions. We employ a tight-binding model that includes first- and…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 Diego B. Fonseca , Anderson L. R. Barbosa , Luiz Felipe C. Pereira

We study the conductance through two types of graphene nanostructures: nanoribbon junctions in which the width changes from wide to narrow, and curved nanoribbons. In the wide-narrow structures, substantial reflection occurs from the…

Mesoscale and Nanoscale Physics · Physics 2009-10-29 J. Wurm , M. Wimmer , I. Adagideli , K. Richter , H. U. Baranger

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

Mesoscale and Nanoscale Physics · Physics 2025-05-21 Yuriy G. Pogorelov , Volodymyr Turkowski , Vadim M. Loktev

Numerical calculations have been performed to elucidate unconventional electronic transport properties in disordered nanographene ribbons with zigzag edges (zigzag ribbons). The energy band structure of zigzag ribbons has two valleys that…

Mesoscale and Nanoscale Physics · Physics 2009-01-07 Katsunori Wakabayashi , Yositake Takane , Masayuki Yamamoto , Manfred Sigrist

A self-consistent theory of the frequency dependent diffusion coefficient for the Anderson localization problem is presented within the tight-binding model of non-interacting electrons on a lattice with randomly distributed on-site energy…

Disordered Systems and Neural Networks · Physics 2015-01-23 Johann Kroha
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