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We show that the recently developed self-consistent theory of Anderson localization with a position-dependent diffusion coefficient is in quantitative agreement with the supersymmetry approach up to terms of the order of $1/g_0^2$ (with…

Disordered Systems and Neural Networks · Physics 2010-08-20 Ben Payne , Alexey Yamilov , Sergey E. Skipetrov

The conductance of metallic graphene nanoribbons (GNRs) with single defects and weak disorder at their edges is investigated in a tight-binding model. We find that a single edge defect will induce quasi-localized states and consequently…

Mesoscale and Nanoscale Physics · Physics 2008-02-07 T. C. Li , Shao-Ping Lu

We use an ab-initio approach to design and study a novel two-dimensional material - a planar array of carbon nanotubes separated by an optimal distance defined by the van der Waals interaction. We show that the energy spectrum for an array…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 R. G. Polozkov , N. Y. Senkevich , S. Morina , P. Kuzhir , M. E. Portnoi , I. A. Shelykh

The theoretical description of transport in a wide class of novel materials is based upon quantum percolation and related random resistor network (RRN) models. We examine the localization properties of electronic states of diverse…

Strongly Correlated Electrons · Physics 2009-11-13 Gerald Schubert , Holger Fehske

Graphene nanoribbons with perfect edges are predicted to exhibit interesting electronic and spintronic properties, notably quantum-confined bandgaps and magnetic edge states. However, graphene nanoribbons produced by lithography have, to…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Xinran Wang , Yijian Ouyang , Liying Jiao , Hailiang Wang , Liming Xie , Justin Wu , Jing Guo , Hongjie Dai

Scanning tunneling images of carbon nanotubes frequently show electron distributions which break the local sixfold symmetry of the graphene sheet. We present a theory of these images which relates these anisotropies to the off diagonal…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. L. Kane , E. J. Mele

Growing graphene nanoribbons from small organic molecules encapsulated in carbon nanotubes can result in products with uniform width and chirality. We propose a method based on encapsulation of 1,2,4-trichlorobenzene from the liquid phase…

In the effective mass approximation, electronic property in graphene can be characterized by the relativistic Dirac equation. Within such a continuum model we investigate the electronic transport through graphene waveguides formed by…

Strongly Correlated Electrons · Physics 2015-05-13 Haidong Li , Lin Wang , Zhihuan Lan , Yisong Zheng

Finite-length armchair graphene nanoribbons can behave as one dimensional topological materials, that may show edge states in their zigzag-terminated edges, depending on their width and termination. We show here a full solution of…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 A. García-Fuente , D. Carrascal , G. Ross , J. Ferrer

We study the critical behaviour of Anderson localized modes near intersecting flat and dispersive bands in the quasi-one-dimensional diamond ladder with weak diagonal disorder $W$. The localization length $\xi$ of the flat band states…

Disordered Systems and Neural Networks · Physics 2013-12-23 Daniel Leykam , Sergej Flach , Omri Bahat-Treidel , Anton S. Desyatnikov

We study theoretically the electronic structure, transport and optical properties for a zigzag single-wall carbon nanotube connected to two normal conductor leads under the irradiation of an external electromagnetic field at low…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Wenhu Liao , Guanghui Zhou , Kai-He Ding

The conductance of a quantum wire with off-diagonal disorder that preserves a sublattice symmetry (the random hopping problem with chiral symmetry) is considered. Transport at the band center is anomalous relative to the standard problem of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Christopher Mudry , P. W. Brouwer , Akira Furusaki

The electronic and transport properties of an extended linear defect embedded in a zigzag nanoribbon of realistic width are studied, within a tight binding model approach. Our results suggest that such defect profoundly modify the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. A. Bahamon , A. L. C. Pereira , P. A. Schulz

We study the spreading of initially localized excitations in 1D disordered granular crystals. We thereby investigate localization phenomena in strongly nonlinear systems, which we demonstrate to be fundamentally different from localization…

Disordered Systems and Neural Networks · Physics 2016-02-17 Alejandro J. Martínez , P. G. Kevrekidis , Mason A. Porter

We provide a statistical characterization of the ionization yield of one-dimensional, periodically driven Rydberg states of atomic hydrogen, in the spirit of Anderson localization theory. We find excellent agreement with predictions for the…

Chaotic Dynamics · Physics 2009-11-07 Sandro Wimberger , Andreas Buchleitner

We have measured a strictly linear pi-plasmon dispersion along the axis of individualized single wall carbon nanotubes, which is completely different from plasmon dispersions of graphite or bundled single wall carbon nanotubes. Comparative…

Graphene nanoribbons (GNRs) are natural waveguides for electrons in graphene. Nevertheless, unlike micron-sized samples, conductance is nearly suppressed in these narrow graphene stripes, mainly due to scattering with edge disorder…

Mesoscale and Nanoscale Physics · Physics 2022-10-28 E. J. Robles-Raygoza , V. G. Ibarra-Sierra , J. C. Sandoval-Santana , R. Carrillo-Bastos

We investigate the electronic transport properties of semiconducting ($m$,$n$) carbon nanotubes (CNTs) on the mesoscopic length scale with arbitrarily distributed realistic defects. The study is done by performing quantum transport…

Mesoscale and Nanoscale Physics · Physics 2018-11-26 Fabian Teichert , Andreas Zienert , Jörg Schuster , Michael Schreiber

We investigate the role played by electron traps on adiabatic charge transport for graphene nanoribbons in the presence of an acoustically induced longitudinal surface acoustic wave (SAW) potential. Due to the weak longitudinal SAW-induced…

Mesoscale and Nanoscale Physics · Physics 2012-12-24 Oleksiy Roslyak , Upali Aparajita , Godfrey Gumbs , Danhong Huang

We extensively characterize the electronic structure of ultra-narrow graphene nanoribbons (GNRs) with armchair edges and zig-zag termini that have 5 carbon atoms across their width (5-AGNRs), as synthesised on Au(111). Scanning tunnelling…