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We study Anderson localization in graphene with short-range disorder using the real-space Kubo-Greenwood method implemented on graphics processing units. Two models of short-range disorder, namely, the Anderson on-site disorder model and…

Mesoscale and Nanoscale Physics · Physics 2014-07-01 Zheyong Fan , Andreas Uppstu , Ari Harju

Disorder and homogeneity are two concepts that refer to spatial variation of the system potential. In condensed-matter systems disorder is typically divided into two types; those with local parameters varying from site to site (diagonal…

Disordered Systems and Neural Networks · Physics 2022-11-14 Z. Ovadyahu

We show that in the one-dimensional (1D) Anderson model long-range correlations within the sequence of on-site potentials may lead to a region of extended states in the vicinity of the band centre, i.e., to a correlation-induced…

Strongly Correlated Electrons · Physics 2007-05-23 Gerald Schubert , Alexander Weisse , Holger Fehske

We demonstrate graphene thickness-graded transistors with high electron mobility and low 1/f noise (f is a frequency). The device channel is implemented with few-layer graphene with the thickness varied from a single layer in the middle to…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Guanxiong Liu , Sergey Rumyantsev , Michael Shur , Alexander A. Balandin

The magnetic properties of disordered graphene and irradiated graphite are systematically studied using a combination of mean-field Hubbard model and first-principles calculations. By considering large-scale disordered models of graphene, I…

Materials Science · Physics 2008-07-17 Oleg V. Yazyev

We probe the local inhomogeneities in the electronic properties of exfoliated graphene due to the presence of charged impurities in the SiO2 substrate using a combined scanning tunneling and electrostatic force microscope. Contact potential…

Mesoscale and Nanoscale Physics · Physics 2012-02-21 Andres Castellanos-Gomez , Roel H. M. Smit , Nicolás Agraït , Gabino Rubio-Bollinger

In two dimensions chaotic level-statistics is expected for massless Dirac fermions in the presence of disorder. For weakly disordered graphene flakes with zigzag edges the obtained level-spacing distribution in the Dirac region is neither…

Disordered Systems and Neural Networks · Physics 2013-02-12 H. Amanatidis , I. Kleftogiannis , D. E. Katsanos , S. N. Evangelou

Resonant scattering at the atomic absorbates in graphene was investigated recently in relation with the transport and gap opening problems. Attaching an impurity atom to graphene is believed to lead to the creation of unusual zero energy…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 P. G. Silvestrov

Graphene has demonstrated great promise for future electronics technology as well as fundamental physics applications because of its linear energy-momentum dispersion relations which cross at the Dirac point. However, accessing the physics…

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

The Anderson model for independent electrons in a disordered potential is transformed analytically and exactly to a basis of random extended states leading to a variant of augmented space. In addition to the widely-accepted phase diagrams…

Strongly Correlated Electrons · Physics 2007-05-23 Nigel Goldenfeld , Roger Haydock

At low temperature T, a significant difference between the behavior of crystals on the one hand and disordered solids on the other is seen: sufficiently strong disorder can give rise to a transition of the transport properties from…

Disordered Systems and Neural Networks · Physics 2018-03-21 Rudolf A Roemer , Michael Schreiber

In this paper, we propose a one-dimensional disordered plasmonic structure composed of a graphene single layer placed on a random grating composed of InAs. The propagation of a plasmonic wave through this structure is investigated…

Optics · Physics 2018-09-11 Abbas Ghasempour Ardakani , Marzieh Sedaghat Nejad

Graphene and few-layer graphene at high bias expose a wealth of phenomena due to the high temperatures reached. With in-situ transmission electron microscopy (TEM) we observe directly how the current modifies the structure, and vice versa.…

Mesoscale and Nanoscale Physics · Physics 2013-01-30 Amelia Barreiro , Felix Boerrnert , Mark H. Ruemmeli , Bernd Buechner , Lieven M. K. Vandersypen

Electron transport in a disordered graphene nanoribbon with zigzag edges is crucially affected by a perfectly conducting channel (PCC), which is stabilized if intervalley scattering is ignorable. In the presence of such a PCC, the…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Yuji Shimomura , Yositake Takane

We report about investigations of time-dependent structural modifications in single crystal graphene due to laser irradiation even at moderate power levels of 1mW in a diffraction limited spot. The structural modifications have been…

We provide a comprehensive picture of magnetotransport in graphene monolayers in the limit of non-quantizing magnetic fields. We discuss the effects of two carrier transport, weak localization, weak anti-localization, and strong…

Mesoscale and Nanoscale Physics · Physics 2012-12-24 M. Hilke , M. Massicotte , E. Whiteway , V. Yu

We show that the manifestation of quantum interference in graphene is very different from that in conventional two-dimensional systems. Due to the chiral nature of charge carriers, it is sensitive not only to inelastic, phase-breaking…

Mesoscale and Nanoscale Physics · Physics 2008-02-09 F. V. Tikhonenko , D. W. Horsell , R. V. Gorbachev , A. K. Savchenko

We study the localization properties of the wavefunctions in graphene flakes with short range disorder, via the numerical calculation of the Inverse Participation Ratio($IPR$) and it scaling which provides the fractal dimension $D_{2}$. We…

Mesoscale and Nanoscale Physics · Physics 2014-02-21 Ioannis Kleftogiannis , Ilias Amanatidis

The global electronic properties of solid-state devices are strongly affected by the microscopic spatial paths of charge carriers. Visualising these paths in novel devices produced by scalable processes would provide a quality assessment…