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The existence of Anderson localization, characterized by vanishing diffusion due to strong disorder, has been demonstrated in numerous ways. A systematic approach based on the Anderson quantum model of the Fermi gas in random lattices that…

Disordered Systems and Neural Networks · Physics 2026-03-26 Václav Janiš

We study electronic transport in graphene nanoribbons with rough edges. We first consider a model of weak disorder that corresponds to an armchair ribbon whose width randomly changes by a single unit cell size. We find that in this case,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ivar Martin , Ya. M. Blanter

We present an ab initio study of spin dependent transport in armchair carbon nanotubes with transition metal adsorbates, iron or vanadium. We neglect the effect of tube curvature and model the nanotube by graphene with periodic boundary…

Materials Science · Physics 2009-11-13 Joachim A. Fürst , Mads Brandbyge , Antti-Pekka Jauho , Kurt Stokbro

Today graphene nanoribbons and other graphene-based nanostructures can be synthesized with atomic precision. But while investigations have concentrated on straight graphene ribbons of fixed crystal orientation, ribbons with intrinsic…

Materials Science · Physics 2015-01-29 C. G. Rocha , R. Tuovinen , R. van Leeuwen , P. Koskinen

Electrons at the Fermi energy may lose their ability to propagate to long distances in certain random media. We use Green functions and solve parquet equations for the non-local electron-hole vertex in high spatial dimensions to describe…

Disordered Systems and Neural Networks · Physics 2025-05-12 Václav Janiš

We present evidence of the existence of a superdiffusive regime in systems with correlated disorder for which localization is suppressed. An expression for anomalous electrical conductivity at low frequencies is found by using a generalized…

Statistical Mechanics · Physics 2009-11-11 Fernando A. Oliveira , Rafael Morgado , Alex Hansen , J. M. Rubi

The localization length and density of states of carbon nanotubes are evaluated within the tight-binding approximation. By comparison with the corresponding results for the square lattice tubes, it is found that the hexagonal structure…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 W Q Ran , J Chang , H T Lu , Y H Su , H G Luo , T Xiang

In the weak disordered regime we provide analytical expressions for the electron localization lengths in quasi-one dimensional (Q1D) disordered quantum wire with hard wall and periodic boundary conditions. They are exact up to order $W^2$…

Disordered Systems and Neural Networks · Physics 2011-06-07 Vladimir Gasparian , Emilio Cuevas

Zigzag edges of graphene nanostructures host localized electronic states that are predicted to be spin-polarized. However, these edge states are highly susceptible to edge roughness and interaction with a supporting substrate, complicating…

We study the conductance of carbon nanotube wires in the presence of disorder, in the limit of phase coherent transport. For this purpose, we have developed a simple numerical procedure to compute transmission through carbon nanotubes and…

Condensed Matter · Physics 2009-10-31 M. P. Anantram , T. R. Govindan

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

Theoretical progress in graphene physics has largely relied on the application of a simple nearest-neighbor tight-binding model capable of predicting many of the electronic properties of this material. However, important features that…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Z. M. Abd El-Fattah , M. A. Kher-Elden , I. Piquero-Zulaica , F. J. Garcia de Abajo , J. E. Ortega

We present a theory for the van Hove singularity (VHS) in the tunneling density of states (TDOS) of disordered multichannel quantum wires, in particular multi-wall carbon nanotubes. We assume close-by gates which screen off…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Huegle , R. Egger

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 present an analytical investigation of the quasi-Coulomb impurity states in a narrow gapped armchair graphene nanoribbon (GNR) in the presence of a uniform external electric field directed parallel to the ribbon axis. The effect of the…

Mesoscale and Nanoscale Physics · Physics 2014-06-16 Boris S. Monzon , Peter Schmelcher

Impurities exist inevitably in two-dimensional materials as they spontaneously adsorb onto the surface during fabrication, usually exerting detrimental effects on electronic transport. Here, we focus on a special type of impurities that…

Mesoscale and Nanoscale Physics · Physics 2024-04-10 Jia-Le Yu , Zhe Hou , Irfan Hussain Bhat , Pei-Jia Hu , Jia-Wen Sun , Xiao-Feng Chen , Ai-Min Guo , Qing-Feng Sun

Carbon nanotube networks are one of the candidate materials to function as malleable, transparent, conducting films, with the technologically promising application of being used as flexible electronic displays. Nanotubes disorderly…

Mesoscale and Nanoscale Physics · Physics 2013-02-22 Luiz F. C. Pereira , M. S. Ferreira

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

Long, stable and free-standing linear atomic carbon wires have been carved out from graphene recently [Meyer et al: Nature (London) 2008, 454, 319; Jin et al: Phys: Rev: Lett: 2009, 102, 205501]. They can be considered as the extremely…

Atomic and Molecular Clusters · Physics 2010-10-28 L. Shen , M. G. Zeng , S. W. Yang , C. Zhang , X. F. Wang , Y. P. Feng

We provide a theoretical study of the conductance response of systems based on graphene nanoribbon to the potential of a scanning probe. The study is based on the Landauer approach for the tight-binding Hamiltonian with an implementation of…

Mesoscale and Nanoscale Physics · Physics 2015-07-02 Alina Mreńca , Krzysztof Kolasiński , Bartłomiej Szafran
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