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We show that the changes in the electronic density of states (DOS) in graphene induced by impurity scattering with short-range potentials are completely different from those caused by the long-range Coulomb potential. The spectral weight of…

Mesoscale and Nanoscale Physics · Physics 2010-01-13 Stepan Grinek , Zhou Li , Jie Chen , Qinwei Shi , Frank Marsiglio

In this work we will focus on the effects produced by topological disorder on the electronic properties of a graphene plane. The presence of this type of disorder induces curvature in the samples of this material, making quite difficult the…

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

The interplay between different types of disorder and electron-electron interactions in graphene planes is studied by means of Renormalization Group techniques. The low temperature properties of the system are determined by fixed points…

Strongly Correlated Electrons · Physics 2009-11-10 T. Stauber , F. Guinea , M. A. H. Vozmediano

We introduce a theory to describe disorder-induced scattering in photonic crystal waveguides, specifically addressing the influence of local field effects and scattering within high-index-contrast perturbations. Local field effects are…

Mesoscale and Nanoscale Physics · Physics 2012-01-13 M Patterson , S. Hughes

Two-dimensional carbon, or graphene, is a semi-metal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects of localized (impurities or vacancies) and…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , F. Guinea , A. H. Castro Neto

Relativistic quantum theory of induced scattering of 2D Dirac particles by electrostatic field of impurity ion (in the Born approximation) in the doped graphene at the presence of an external electromagnetic radiation field (actually…

Optics · Physics 2017-11-22 A. K. Avetissian , A. G. Ghazaryan , Kh. V. Sedrakian , B. R. Avchyan

The electronic properties of non-interacting particles moving on a two-dimensional bricklayer lattice are investigated numerically. In particular, the influence of disorder in form of a spatially varying random magnetic flux is studied. In…

Disordered Systems and Neural Networks · Physics 2009-12-22 L. Schweitzer

In order to manipulate the properties of graphene, its very important to understand the electronic structure in presence of disorder. We investigate, within a tight-binding description, the effects of disorder in the on-site (diagonal…

Mesoscale and Nanoscale Physics · Physics 2013-12-25 Aftab Alam , Biplab Sanyal , Abhijit Mookerjee

The presence of resonances modifies the passage of light or of electrons through a disordered medium. We generalize random matrix theory to account for this effect. Using supersymmetry, we calculate analytically the mean density of states,…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. Elattari , V. Kagalovsky , H. A. Weidenmueller

In an ideal graphene sheet charge carriers behave as two-dimensional (2D) Dirac fermions governed by the quantum mechanics of massless relativistic particles. This has been confirmed by the discovery of a half-integer quantum Hall effect in…

Materials Science · Physics 2015-05-13 Yuanbo Zhang , Victor W. Brar , Caglar Girit , Alex Zettl , Michael F. Crommie

Magnetic effects at optical frequencies are notoriously weak. This is evidenced by the fact that the magnetic permeability of nearly all materials is unity in the optical frequency range, and that magneto-optical devices (such as Faraday…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Mikael C. Rechtsman , Julia M. Zeuner , Andreas Tünnermann , Stefan Nolte , Mordechai Segev , Alexander Szameit

We study the effects of quenched height fluctuations (ripples) in graphene on the density of states (DOS). We show that at strong ripple disorder a divergence in the DOS can lead to an ordered ground state. We also discuss the formation of…

Disordered Systems and Neural Networks · Physics 2009-11-13 F. Guinea , Baruch Horovitz , P. Le Doussal

The effect of weak potential and bond disorder on the density of states of graphene is studied. By comparing the self-consistent non-crossing approximation on the honeycomb lattice with perturbation theory on the Dirac fermions, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Dóra , K. Ziegler , P. Thalmeier

We predict and demonstrate that a disorder induced carrier density inhomogeneity causes magnetoresistance (MR) in a two-dimensional electron system. Our experiments on graphene show a quadratic MR persisting far from the charge neutrality…

Mesoscale and Nanoscale Physics · Physics 2014-08-04 Jinglei Ping , Indra Yudhistira , Navneeth Ramakrishnan , Sungjae Cho , Shaffique Adam , Michael S. Fuhrer

We consider a two-dimensional crystalline monolayer of carbon atoms with a single non-magnetic impurity. Using the Weyl Hamiltonian to describe electronic energy spectrum near the Dirac points, we calculate the wave function and energy of…

Materials Science · Physics 2015-05-14 M Inglot , V K Dugaev

Perturbations of the two dimensional carbon lattice of graphene, such as grain boundaries, have significant influence on the charge transport and mechanical properties of this material. Scanning tunneling microscopy measurements presented…

The combined effect of mean flow and rotation on hexagonal patterns is investigated using Ginzburg-Landau equations that include nonlinear gradient terms as well as the nonlocal coupling provided by the mean flow. Long-wave and short-wave…

Chaotic Dynamics · Physics 2009-11-07 Yuan-Nan Young , Hermann Riecke

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 develop a first-principles theory of resonant impurities in graphene and show that a broad range of typical realistic impurities leads to the characteristic sublinear dependence of the conductivity on the carrier concentration. By means…

Mesoscale and Nanoscale Physics · Physics 2010-07-30 T. O. Wehling , S. Yuan , A. I. Lichtenstein , A. K. Geim , M. I. Katsnelson

In the last years the number of nominally non-magnetic solids showing magnetic order induced by some kind of defects has increased continuously. From the single element material graphite to several covalently bonded non-magnetic compounds,…

Materials Science · Physics 2014-01-20 P. Esquinazi , W. Hergert , D. Spemann , A. Setzer , A. Ernst
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