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We show that transport in low-dimensional carbon structures with finite concentrations of scatterers can be modeled by utilising scaling theory and effective cross sections. Our reults are based on large scale numerical simulations of…

Mesoscale and Nanoscale Physics · Physics 2012-01-06 Andreas Uppstu , Karri Saloriutta , Ari Harju , Martti Puska , Antti-Pekka Jauho

A Green function analysis has been developed for quasiparticle spectrum and localized states of a 2D graphene sheet in presence of different types of substitutional disorder, including vacancies. The anomalous character of impurity effects…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yu. G. Pogorelov

Among the many interesting features displayed by graphene, one of the most attractive is the simplicity with which its electronic structure can be described. The study of its physical properties is significantly simplified by the linear…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 S. R. Power , M. S. Ferreira

We report the electronic properties of two-dimensional systems made of graphene nanoribbons which are patterned with ad-atoms in two separated regions. Due to the extra electronic confinement induced by the presence of the impurities, we…

Mesoscale and Nanoscale Physics · Physics 2015-09-25 J. W. González , L. Rosales , M. Pacheco , A. Ayuela

The interaction between carbon nanostructures like quantum dots and radiation can generate different effects inside the nanomaterial, with the use of computational methods such effects can be predicted and optimize the material allowing a…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Alexander Leon , Juan E. Gomez , Freddy R. Perez

We analyze random resistor networks through a study of lattice Green's functions in arbitrary dimensions. We develop a systematic disorder perturbation expansion to describe the weak disorder regime of such a system. We use this formulation…

Disordered Systems and Neural Networks · Physics 2023-05-02 Sayak Bhattacharjee , Kabir Ramola

We present a systematic study of electron backscattering phenomena during conduction for graphene nanoribbons with single-vacancy scatterers and dimensions within the capabilities of modern lithographic techniques. Our analysis builds upon…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 I. Deretzis , G. Fiori , G. Iannaccone , A. La Magna

We show how hydrogenation of graphene nanoribbons at small concentrations can open new venues towards carbon-based spintronics applications regardless of any especific edge termination or passivation of the nanoribbons. Density functional…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 D. Soriano , F. Muñoz-Rojas , J. Fernández-Rossier , J. J. Palacios

A formalism is proposed to study the electronic and transport properties of graphene sheets with corrugations as the one recently synthesized. The formalism is based on coupling the Dirac equation that models the low energy electronic…

Strongly Correlated Electrons · Physics 2008-11-26 Alberto Cortijo , María A. H. Vozmediano

Man-made artificial graphene has attracted significant attention in the past few years due to the possibilities to construct designer Dirac fermions with unexpected topological properties and applications in nanoelectronics. Here we use a…

Materials Science · Physics 2014-12-10 Matti Ropo , Sami Paavilainen , Jaakko Akola , Esa Räsänen

The characteristics of energy band spectrum of armchair graphene nanoribbons in presence of line defect are analyzed within a simple non-interacting tight-binding framework. In metallic nanoribbons an energy gap may or may not appear in the…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Paramita Dutta , Santanu K. Maiti , S. N. Karmakar

Within the framework of many-particle perturbation theory, we develop an analytical approach that allows us to determine the small distance behavior of Green's functions and related quantities in electronic structure theory. As a case…

Mathematical Physics · Physics 2025-03-17 Heinz-Juergen Flad , Michael Griebel

This work presents a Green's function approach, originally implemented in graphene with well-defined edges, to the surface of a strong 3D Topological Insulator (TI) with a sequence of proximitized superconducting (S) and ferromagnetic (F)…

Mesoscale and Nanoscale Physics · Physics 2020-10-01 Oscar E. Casas , Shirley Gómez Páez , William J. Herrera

We propose an algorithm for determining the zeros of the electric conductivity in large molecular nanonstructures such as graphene sheets. To this end, we employ the inverse graph method, whereby non-zeros of the Green's functions are…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 Marian Nita , Mugurel Tolea , Catalina Marinescu

In this work we compare two fundamentally different approaches to the electronic transport in deformed graphene: a) the condensed matter approach in which current flow paths are obtained by applying the non-equilibrium Green's function…

Mesoscale and Nanoscale Physics · Physics 2016-05-23 Thomas Stegmann , Nikodem Szpak

We calculate the local Green function for a quantum-mechanical particle with hopping between nearest and next-nearest neighbors on the Bethe lattice, where the on-site energies may alternate on sublattices. For infinite connectivity the…

We consider plane junctions with graphene electrodes, which are formed by a single-level system ("molecule") placed between the edges of two single-layer graphene half planes. We calculate the edge Green functions of the electrodes and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Dmitry A. Ryndyk , Jan Bundesmann , Ming-Hao Liu , Klaus Richter

Using ab initio density functional theory and quantum transport calculations based on nonequilibrium Green's function formalism we study structural, electronic, and transport properties of hydrogen-terminated short graphene nanoribbons…

Materials Science · Physics 2010-05-20 Hasan Sahin , Ramazan Tugrul Senger

The electronic and optical properties of graphene nanoribbons under uniaxial periodic strain have been explored using various nearest-neighbor hopping patterns. It is found that by properly selecting hopping patterns, momentum-resolved gaps…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 Chunwen Zhang , W. X. Yan

The electronic and transport properties of hybrid armchair zigzag nanostructures including U-shaped graphene nanoribbons and patterned nanopores structured graphene were studied using combination of density functional theory and…

Materials Science · Physics 2021-04-05 Nguyen Tien Cuong