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We investigate the effects of randomly distributed atomic defects on the magnetic properties of graphene nanoribbons with zigzag edges using an extended mean-field Hubbard model. For a balanced defect distribution among the sublattices of…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 K. E. Çakmak , A. Altıntaş , A. D. Güçlü

We undertake an exact numerical study of the effects of disorder on the Anderson localization of electronic states in graphene. Analyzing the scaling behaviors of inverse participation ratio and geometrically averaged density of states, we…

Mesoscale and Nanoscale Physics · Physics 2011-05-12 Yun Song , Hongkang Song , Shiping Feng

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 study the integer and fractional quantum Hall effect on a honeycomb lattice at half-filling (graphene) in the presence of disorder and electron-electron interactions. We show that the interactions between the delocalized chiral edge…

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

We investigate the effects of point and line defects in monolayer graphene within the framework of the Hubbard model, using a self-consistent mean field theory. These defects are found to induce characteristic patterns into the electronic…

Mesoscale and Nanoscale Physics · Physics 2011-04-22 Yi Chen Chang , Stephan Haas

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

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 study Anderson localization in a generalized discrete time quantum walk - a unitary map related to a Floquet driven quantum lattice. It is controlled by a quantum coin matrix which depends on four angles with the meaning of potential and…

Disordered Systems and Neural Networks · Physics 2017-10-25 I. Vakulchyk , M. V. Fistul , P. Qin , S. Flach

We theoretically investigate light propagation and Anderson localization in one-dimensional disordered superlattices composed of dielectric stacks with graphene sheets in between. Disorder is introduced either on graphene material…

Disordered Systems and Neural Networks · Physics 2016-02-19 A. J. Chaves , N. M. R. Peres , F. A. Pinheiro

We theoretically investigate the effects of long-range disorder and electron-electron interactions on the optical properties of hexagonal armchair graphene quantum dots consisting of up to 10806 atoms. The numerical calculations are…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 A. Altıntaş , K. E. Çakmak , A. D. Güçlü

We address the nature of the disordered state that results from the adsorption of adatoms in graphene. For adatoms that sit at the center of the honeycomb plaquette, as in the case of most transition metals, we show that the ones that form…

Disordered Systems and Neural Networks · Physics 2014-08-27 Jose H. Garcia , Bruno Uchoa , Lucian Covaci , Tatiana G. Rappoport

Using density functional theory (DFT), Hartree-Fock, exact diagonalization, and numerical renormalization group methods we study the electronic structure of diluted hydrogen atoms chemisorbed on graphene. A comparison between DFT and…

Mesoscale and Nanoscale Physics · Physics 2012-03-07 J. O. Sofo , Gonzalo Usaj , P. S. Cornaglia , A. M. Suarez , A. D. Hernández-Nieves , C. A. Balseiro

It is shown that a strong impurity potential induces short-range antiferromagnetic (ferrimagnetic) order around itself in a Hubbard model on a half-filled honeycomb lattice. This implies that short-range magnetic order is induced in…

Strongly Correlated Electrons · Physics 2007-11-12 Hideki Kumazaki , Dai S. Hirashima

A graphene antidot lattice, created by a regular perforation of a graphene sheet, can exhibit a considerable band gap required by many electronics devices. However, deviations from perfect periodicity are always present in real experimental…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 Zheyong Fan , Andreas Uppstu , Ari Harju

We address the electronic structure and magnetic properties of vacancies and voids both in graphene and graphene ribbons. Using a mean field Hubbard model, we study the appearance of magnetic textures associated to removing a single atom…

Mesoscale and Nanoscale Physics · Physics 2008-11-27 J. J. Palacios , J. Fernandez-Rossier , L. Brey

Disorder in moire superlattices simultaneously degrades flat-band localization and induces Anderson localization, yet how these two regimes interact has remained unclear. Here, we introduce a combined framework linking localization-length…

Disordered Systems and Neural Networks · Physics 2026-04-23 Qian Liu , Xiaoshuang Xia , Junjie Wang , Peilong Hong , Lei Xu , Lujun Huang , Daohong Song , Yi Liang

We show that electron states in disordered graphene, with an onsite potential that induces inter-valley scattering, are localised for all energies at disorder as small as 1/6 of the band width of clean graphene. We clarify that, in order…

Mesoscale and Nanoscale Physics · Physics 2013-11-08 C. González-Santander , F. Domínguez-Adame , M. Hilke , R. A. Römer

Using the tight-binding model, we investigate the influence of vacancy disorder on electrical transport in graphene Hall bars in the presence of quantizing magnetic fields. Disorder, induced by a random distribution of monovacancies, breaks…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 M. D. Petrović , F. M. Peeters

By applying tight binding model of adatoms in graphene, we study theoretically the localized aspects of the interaction between transition metal atoms and graphene. Considering the electron-electron interaction by adding a Hubbard term in…

Strongly Correlated Electrons · Physics 2018-06-14 F. Escudero , J. S. Ardenghi , L. Sourrouille , P. Jasen , A. Juan

Anderson localization is a consequence of coherent interference of multiple scattering events in the presence of disorder, which leads to an exponential suppression of the transmission. The decay of the transmission is typically probed at a…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hichem Eleuch , Michael Hilke , Richard MacKenzie
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