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Using the recursive Green's function method, we study the problem of electron transport in a disordered single-layer graphene sheet. The conductivity is of order $e^2/h$ and its dependence on the carrier density has a scaling form that is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Caio H. Lewenkopf , Eduardo R. Mucciolo , Antonio H. Castro Neto

We present electronic structure calculations of few-layer epitaxial graphene nanoribbons on SiC(0001). Trough an atomistic description of the graphene layers and the substrate within the extended H\"{u}ckel Theory and real/momentum space…

Mesoscale and Nanoscale Physics · Physics 2009-08-19 I. Deretzis , A. La Magna

The boundary effects affecting the Hamiltonian for the nanocone with curvatureinduced spin orbit coupling were considered and the corresponding electronic structure was calculated. These boundary effects include the spin orbit coupling, the…

Mesoscale and Nanoscale Physics · Physics 2017-05-15 J. Smotlacha , R. Pincak

We develop a theoretical description of intravalley scattering of quasiparticles in graphene from multiple short-range scatterers of size much greater than the carbon-carbon bond length. Our theory provides a method to rapidly calculate the…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 J. Y. Vaishnav , Justin Q. Anderson , Jamie D. Walls

Local curvature, or bending, of a graphene sheet is known to increase the chemical reactivity presenting an opportunity for templated chemical functionalization. Using first principles calculations based on density functional theory (DFT)…

Materials Science · Physics 2015-08-12 Jesper Toft Rasmussen , Tue Gunst , Peter Bøggild , Antti-Pekka Jauho , Mads Brandbyge

A new theoretical framework for the nonequilibrium Green's function (NEGF) scheme is presented to account for the discrete nature of impurities doped in semiconductor nanostructures. The short-range part of impurity potential is included as…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Nobuyuki Sano

By introducing multipe-site correlation functions, we propose a hierarchical Green function approach, and apply it to study the characteristic properties of a 2D square lattice Hubbard model by solving the equation of motions of a…

Strongly Correlated Electrons · Physics 2018-09-26 Yu-Liang Liu

We present and review an efficient method to calculate the retarded Green's function in multi-terminal nanostructures; which is needed in order to calculate the conductance through the system and the local particle densities within it. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 G. Thorgilsson , G. Viktorsson , S. I. Erlingsson

We study the influence of different edge types on the electronic density of states of graphene nanostructures. To this end we develop an exact expansion for the single particle Green's function of ballistic graphene structures in terms of…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 J. Wurm , K. Richter , I. Adagideli

The electron transport between two zigzag graphene nanoribbons (ZGNRs) connected by carbon atomic chains has been investigated by the nonequilibrium Green's function method combined with the density functional theory. The symmetry of the…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Yao-Jun Dong , Xue-Feng Wang , Ming-Xing Zhai , Jian-Chun Wu , Liping Zhou , Qin Han , Xue-Mei Wu

We propose a fast and versatile algorithm to calculate local and transport properties such as conductance, shot noise, local density of state or local currents in mesoscopic quantum systems. Within the non equilibrium Green function…

Mesoscale and Nanoscale Physics · Physics 2008-03-18 Kyryl Kazymyrenko , Xavier Waintal

Using the tight-binding model with long-range Coulomb interactions between electrons, we study some of the electronic properties of graphene. The Coulomb interactions are treated with the renormalized-ring-diagram approximation. By…

Strongly Correlated Electrons · Physics 2011-11-09 Xin-Zhong Yan , C. S. Ting

We study the low-energy electronic transport across periodic extended defects in graphene. In the continuum low-energy limit, such defects act as infinitesimally thin stripes separating two regions where Dirac Hamiltonian governs the…

Mesoscale and Nanoscale Physics · Physics 2012-12-14 J. N. B. Rodrigues , N. M. R. Peres , J. M. B. Lopes dos Santos

Using density functional theory (DFT), Hartree-Fock, exact diagonalization, and numerical renormalization group methods we study the electronic structure of diluted hydrogen atoms chemisorbed on graphene. A comparison between DFT and…

Mesoscale and Nanoscale Physics · Physics 2012-03-07 J. O. Sofo , Gonzalo Usaj , P. S. Cornaglia , A. M. Suarez , A. D. Hernández-Nieves , C. A. Balseiro

We present a computational study on the topology, energetics and structural deformations for a large number of experimentally observed defect configurations in graphene. We find that both the number of lost hexagonal carbon rings and…

Materials Science · Physics 2014-05-23 Jani Kotakoski , Franz R. Eder , Jannik C. Meyer

Motivated by recent scanning tunneling experiments on zigzag-terminated graphene this paper investigates an interplay of evanescent and extended quasiparticle states in the local density of states (LDOS) near a zigzag edge using the Green's…

Mesoscale and Nanoscale Physics · Physics 2007-12-08 Grigory Tkachov

An accurate simulation of Green's function and self-energy function of non-interacting electrons in disordered graphenes are performed. Fundamental physical quantities such as the elastic relaxation time {\tau}e, the phase velocity vp, and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 W. Zhu , Q. W. Shi , X. R. Wang , X. P. Wang , J. L. Yang , Jie Chen , J. G. Hou

We propose a first-principles method of efficiently evaluating electron-transport properties of very long systems. Implementing the recursive Green's function method and the shifted conjugate gradient method in the transport simulator based…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 Yoshiyuki Egami , Shigeru Tsukamoto , Tomoya Ono

We present an atomic-resolution observation and analysis of graphene constrictions and ribbons with sub-nanometer width. Graphene membranes are studied by imaging side spherical aberration-corrected transmission electron microscopy at 80…

Mesoscale and Nanoscale Physics · Physics 2009-08-20 A. Chuvilin , J. C. Meyer , G. Algara-Siller , U. Kaiser

A novel nanoelectronic device is constructed by graphyne that is robustly connected between graphene electrodes, where graphyne is composed of hexagonal carbon rings and carbon chains. Owing to similarities between the bond lengths and unit…

Mesoscale and Nanoscale Physics · Physics 2013-07-17 Young I. Jhon , Myung S. Jhon