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This work presents a novel approach to describe spectral properties of graphene layers with well defined edges. We microscopically analyze the boundary problem for the continuous Bogoliubov-de Gennes-Dirac (BdGD) equations and derive the…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 William J. Herrera , P. Burset , A. Levy Yeyati

Approach-to-equilibrium molecular dynamics simulations have been used to study thermal transport in nanocrystalline graphene sheets. Nanostructured graphene has been created using an iterative process for grain growth from initial seeds…

Materials Science · Physics 2015-11-26 Konstanze R. Hahn , Claudio Melis , Luciano Colombo

Inelastic effects in electron transport through nano-sized devices are addressed with a method based on nonequilibrium Green's functions (NEGF) and perturbation theory to infinite order in the electron-vibration coupling. We discuss the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thomas Frederiksen , Mads Brandbyge , Nicolas Lorente , Antti-Pekka Jauho

A computationally efficient mode space simulation method for atomistic simulation of a graphene nanoribbon field-effect transistor in the ballistic limits is developed. The proposed simulation scheme, which solves the nonequilibrium Green's…

Materials Science · Physics 2009-09-30 Pei Zhao , Jing Guo

In this paper we propose an analytical method to calculate the band structures of graphene-like nanoribbons of the armchair type with arbitrary line defects or uniaxial strains. The model is based on the tight-binding model and the standing…

Mesoscale and Nanoscale Physics · Physics 2017-04-18 Yang Xie , Zhijian Hu , Wenhao Ding , Hang Xie

We report a linear-scaling random Green's function (rGF) method for large-scale electronic structure calculation. In this method, the rGF is defined on a set of random states to stochastically express the density matrix, and rGF is…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Mingfa Tang , Chang Liu , Aixia Zhang , Qingyun Zhang , Shengjun Yuan , Youqi Ke

We present a tight binding theory of the Dirac point resonances due to adsorbed atoms and molecules on an infinite 2D graphene sheet based on the standard tight binding model of the graphene p-band electronic structure and the extended…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 S. Ihnatsenka , G. Kirczenow

In this paper, we propose a combined modeling of molecular mechanics (MM) and the tight-binding (TB) approach, which enables us to study the effect of factors such as external local forces, constraints, and vacancy defects on electronic…

Computational Physics · Physics 2021-03-11 Mahnoosh Rostami , Isa Ahmadi , Farhad Khoeini

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 ab initio band structure of 2D graphene sheet is well reproduced by the third nearest neighbor tight binding model proposed by Reich et al [Phys. Rev. B 66, 035412]. For ribbon structures, the existing sets of tight binding parameters…

Mesoscale and Nanoscale Physics · Physics 2017-02-10 Van-Truong Tran , Jérôme Saint-Martin , Philippe Dollfus , Sebastian Volz

By applying tight binding model, we investigate the electronic and transport properties of randomly distributed Stone-Wales (SW) defects on an armchair graphene nanoribbon (AGNR). We use four different functions, as distribution functions,…

Mesoscale and Nanoscale Physics · Physics 2019-04-02 Mobin Shakeri

We characterize the transport properties of functionalized graphene nanoribbons using extensive first-principles calculations based on density functional theory (DFT) that encompass both monovalent and divalent ligands, hydrogenated defects…

Materials Science · Physics 2009-09-08 Giovanni Cantele , Young-Su Lee , Domenico Ninno , Nicola Marzari

Chemical functionalization of graphene holds promise for various applications ranging from nanoelectronics to catalysis, drug delivery, and nanoassembly. In many applications it is important to be able to transport adsorbates on graphene in…

Mesoscale and Nanoscale Physics · Physics 2013-03-28 Dmitry Solenov , Kirill A. Velizhanin

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

Recently synthesized Porous 12-Atom-Wide Armchair Graphene Nanoribbons Nano Lett. 2024, 24, 10718-10723 exhibit tunable properties through periodic porosity, enabling precise control over their electronic, optical, thermal, and mechanical…

A local-orbital based ab initio approach to obtain the Green function for large heterogeneous systems is developed. First a Green function formalism is introduced based on exact diagonalization. Then the self energy is constructed from an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Albrecht , A. Schnurpfeil , G. Cuniberti

We have studied zigzag and armchair graphene nano ribbons (GNRs), described by the Hubbard Hamiltonian using quantum many body configuration interaction methods. Due to finite termination, we find that the bipartite nature of the graphene…

Materials Science · Physics 2009-11-13 Sudipta Dutta , S. Lakshmi , Swapan K. Pati

We study theoretically electron interference in a Mach--Zehnder-like geometry formed by four zigzag graphene nanoribbons (ZGNRs) arranged in parallel pairs, one on top of the other, such that they form intersection angles of 60$^\circ$.…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 Sofia Sanz , Nick Papior , Géza Giedke , Daniel Sánchez-Portal , Mads Brandbyge , Thomas Frederiksen

We use the effective-mass approximation and the density-functional theory with the local-density approximation for modeling two-dimensional nano-structures connected phase-coherently to two infinite leads. Using the non-equilibrium Green's…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Paula Havu , Ville Havu , Martti Puska , Risto Nieminen

We study the transport properties, in particular, the thermoelectric figure of merit ZT of armchair graphene nanoribbons, AGNR-N (for N=4-12, with widths ranging from 3.7 to 13.6~\AA) through strain engineering, where N is the number of…

Materials Science · Physics 2013-08-22 Pei Shan Emmeline Yeo , Michael B. Sullivan , Kian Ping Loh , Chee Kwan Gan