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The electronic properties of the wormhole and the perturbed nanocylinder will be investigated using two different methods: the continuum gauge field-theory model which deals with the contin- uum approximation of the surface and the Haydock…

Mesoscale and Nanoscale Physics · Physics 2016-09-15 J. Smotlacha , R. Pincak

The electron-phonon matrix element for edge states of carbon nanotubes and graphene at zigzag edges is calculated for obtaining renormalized energy dispersion of the edge states. Self-energy correction by electron-phonon interaction…

Mesoscale and Nanoscale Physics · Physics 2007-06-21 K. Sasaki , K. Sato , J. Jiang , R. Saito , S. Onari , Y. Tanaka

The stability of graphene nanoribbons in the presence of typical atmospheric molecules is systematically investigated by means of density functional theory. We calculate the edge formation free energy of five different edge configurations…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. Vanin , J. Gath , K. S. Thygesen , K. W. Jacobsen

The cohesion and conductance of a point contact in a two-dimensional metallic nanowire are investigated in an independent-electron model with hard-wall boundary conditions. All properties of the nanowire are related to the Green's function…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Burki , C. A. Stafford , X. Zotos , D. Baeriswyl

We present a quantum-field-theoretical framework based on path integrals and Feynman diagrams for the investigation of the quantum-optical properties of one-dimensional waveguiding structures with embedded quantum impurities. In particular,…

We develop a Green's function approach to quasiparticle excitations of open-shell systems within the GW approximation. It is shown that accurate calculations of the characteristic multiplet structure require a precise knowledge of the self…

Materials Science · Physics 2014-09-11 Johannes Lischner , Jack Deslippe , Manish Jain , Steven G. Louie

In order to elucidate the presence of non-localized states in doped graphene, an scaling analysis of the wave function moments known as inverse participation ratios is performed. The model used is a tight- binding hamiltonian considering…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 J. E. Barrios-Vargas , Gerardo G. Naumis

Being a true two-dimensional crystal, graphene has special properties. In particular, a point-like defect in graphene may have effects in the long range. This peculiarity questions the validity of using a supercell geometry in an attempt to…

Materials Science · Physics 2015-06-05 Philippe Lambin , Hakim Amara , François Ducastelle , Luc Henrard

We probe the local inhomogeneities of the electronic properties of graphene at the nanoscale using scanning probe microscopy techniques. First, we focus on the study of the electronic inhomogeneities caused by the graphene-substrate…

Mesoscale and Nanoscale Physics · Physics 2012-10-16 A. Castellanos-Gomez , Arramel , M. Wojtaszek , R. H. M. Smit , N. Tombros , N. Agraït , B. J. van Wees , G. Rubio-Bollinger

Quantum transport properties of disordered graphene with structural defects (Stone-Wales and divacancies) are investigated using a realistic {\pi}-{\pi}* tight-binding model elaborated from ab initio calculations. Mean free paths and…

Graphene on $L1_0$-FePd(001), which has been experimentally studied in recent years, is a heterogeneous interface with a significant lattice symmetry mismatch between the honeycomb structure of graphene and tetragonal alloy surface. In this…

Materials Science · Physics 2022-09-14 Mitsuharu Uemoto , Hayato Adachi , Hiroshi Naganuma , Tomoya Ono

A linear algebraic method named the shifted conjugate-orthogonal-conjugate-gradient method is introduced for large-scale electronic structure calculation. The method gives an iterative solver algorithm of the Green's function and the…

Materials Science · Physics 2007-05-23 R. Takayama , T. Hoshi , T. Sogabe , S. -L. Zhang , T. Fujiwara

We study the properties of graphene wormholes in which a short nanotube acts as a bridge between two graphene sheets, where the honeycomb carbon lattice is curved from the presence of 12 heptagonal defects. By taking the nanotube bridge…

Mesoscale and Nanoscale Physics · Physics 2009-11-09 J. Gonzalez , J. Herrero

With nonequilibrium Green's function approach combined with density functional theory, we perform an ab initio calculation to investigate transport properties of graphene nanoribbon junctions self-consistently. Tight-binding approximation…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 G. Yin , Y. Y. Liang , F. Jiang , H. Chen , P. Wang , R. Note , H. Mizuseki , Y. Kawazoe

We study theoretically the effects of short-range electron-electron interactions on the electronic structure of graphene, in the presence of single substitutional impurities. Our computational approach is based on the $\pi$ orbital…

Mesoscale and Nanoscale Physics · Physics 2015-11-30 Faluke Aikebaier , Anna Pertsova , Carlo M. Canali

The electronic properties of graphene zig-zag nanoribbons with electrostatic potentials along the edges are investigated. Using the Dirac-fermion approach, we calculate the energy spectrum of an infinitely long nanoribbon of finite width…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 W. Apel , G. Pal , L. Schweitzer

We simulate the electronic and transport properties of metal/two-dimensional material/metal vertical heterostructures, with a focus on graphene, hexagonal boron nitride and two phases of molybdenum diselenide. Using density functional…

Mesoscale and Nanoscale Physics · Physics 2025-02-06 Gaëlle Bigeard , Zineb Kerrami , François Triozon , Alessandro Cresti

We describe the numerical modeling of current flow in graphene heterojunctions, within the Keldysh Landauer Non-equilibrium Green's function (NEGF) formalism. By implementing a $k$-space approach along the transverse modes, coupled with…

Mesoscale and Nanoscale Physics · Physics 2013-07-02 Redwan N. Sajjad , Carlos Polanco , Avik W. Ghosh

This introduction to Green's functions is based on their role as kernels of differential equations. The procedures to construct solutions to a differential equation with an external source or with an inhomogeneity term are put together to…

Mesoscale and Nanoscale Physics · Physics 2008-02-22 Ursula Schröter

Prompted by recent reports on $\sqrt{3} \times \sqrt{3}$ graphene superlattices with intrinsic inter-valley interactions, we perform first-principles calculations to investigate the electronic properties of periodically nitrogen-doped…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Fuming Xu , Zhizhou Yu , Zhirui Gong , Hao Jin