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We look at the properties of high frequency eigenmodes for the damped wave equation on a compact manifold with an Anosov geodesic flow. We study eigenmodes with spectral parameters which are asymptotically close enough to the real axis. We…

Mathematical Physics · Physics 2015-05-30 Gabriel Riviere

Graphene is convenient material for nanomechanichal applications since high-frequency oscillations are easily accessible. In this Article, we consider graphene on a rough substrate attached to imperfections at random locations. We explore…

Mesoscale and Nanoscale Physics · Physics 2013-09-25 Mariya V. Medvedyeva , Yaroslav M. Blanter

All-carbon heterostructures have been produced recently via focused ion beam patterning of single layer graphene. Amorphized graphene is similar to a graphene sheet in which some hexagons are replaced by a combination of pentagonal,…

Materials Science · Physics 2017-04-07 B Mortazavi , Z Fan , LFC Pereira , A Harju , T Rabczuk

We present exact analytical calculations of scanning tunneling currents in locally disordered graphene using a multimode description of the microscope tip. Analytical expressions for the local density of states (LDOS) are given for energies…

Mesoscale and Nanoscale Physics · Physics 2009-10-06 N. M. R. Peres , Ling Yang , Shan-Wen Tsai

We propose a model of ripples in suspended graphene sheets based on plate equations that are made discrete with the periodicity of the honeycomb lattice and then periodized. In addition, the equation for the displacements with respect to…

Mesoscale and Nanoscale Physics · Physics 2012-11-05 L. L. Bonilla , A. Carpio

We investigate nonlinear localized modes at light-mass impurities in a one-dimensional, strongly-compressed chain of beads under Hertzian contacts. Focusing on the case of one or two such "defects", we analyze the problem's linear limit to…

Pattern Formation and Solitons · Physics 2011-02-21 G. Theocharis , M. Kavousanakis , P. G. Kevrekidis , Chiara Daraio , Mason A. Porter , I. G. Kevrekidis

We discuss theoretically the local density of states (LDOS) of a graphene sheet hosting two distant adatoms located at the center of the hexagonal cells. By putting laterally a Scanning Tunneling Microscope (STM) tip over a carbon atom, two…

Strongly Correlated Electrons · Physics 2014-11-25 A. C. Seridonio , K. Kristinsson , M. de Souza , F. M. Souza , L. H. Guessi , R. S. Machado , I. A. Shelykh

We study vibrational states localized at the edges of graphene nanoribbons. Such surface oscillations can be considered as a phonon analog of Tamm states well known in the electronic theory. We consider both armchair and zigzag graphene…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Alexander V. Savin , Yuri S. Kivshar

The electronic and magnetic properties of graphane with H-vacancies are investigated with the help of quantum-chemistry methods. The hybridization of the edges is found to be absolutely crucial in defining the size of the bandgap, which is…

Materials Science · Physics 2015-05-14 Julia Berashevich , Tapash Chakraborty

Ordered configurations of hydrogen adatoms on graphene have long been proposed, calculated and searched for. Here we report direct observation of several ordered configurations of H adatoms on graphene by scanning tunneling microscopy. On…

Propagating atomic vibrational waves, phonons, rule important thermal, mechanical, optoelectronic and transport characteristics of materials. Thus the knowledge of phonon dispersion, namely the dependence of vibrational energy on momentum…

Materials Science · Physics 2019-10-09 Ryosuke Senga , Kazu Suenaga , Paolo Barone , Shigeyuki Morishita , Francesco Mauri , Thomas Pichler

While resonant modes do not exist within band gaps in infinite periodic materials, they may appear as in-gap localized edge modes once the material is truncated to form a finite periodic structure. Here, we provide an analysis framework…

Materials Science · Physics 2023-12-19 Matheus I. N. Rosa , Bruce L. Davis , Liao Liu , Massimo Ruzzene , Mahmoud I. Hussein

Off-diagonal disorder with random hopping between the sublattices of a bipartite lattice is described by a Hamiltonian which has chiral (sub-lattice) symmetry. The energy spectrum is symmetric around E=0 and for odd total number of lattice…

Disordered Systems and Neural Networks · Physics 2013-04-23 I. Kleftogiannis , S. N. Evangelou

Isotopic effects are relevant to understand several properties of solids, and have been thoroughly analyzed along the years. These effects may depend on the dimensionality of the considered solid. Here we assess their magnitude for…

Materials Science · Physics 2020-09-04 Carlos P. Herrero , Rafael Ramirez

Mechanically exfoliated graphene layers deposited on SiO2 substrate were irradiated with Ar+ ions in order to experimentally study the effect of atomic scale defects and disorder on the low-energy electronic structure of graphene. The…

Mesoscale and Nanoscale Physics · Physics 2009-01-21 Levente Tapaszto , Gergely Dobrik , Peter Nemes-Incze , Gabor Vertesy , Philippe Lambin , Laszlo P Biro

This work analyzes the spontaneous emission of a single emitter placed near the graphene waveguide formed by two parallel graphene monolayers, with an insulator spacer layer. In this case, the eigenmodes supported by the structure, such as…

Optics · Physics 2016-10-02 Mauro Cuevas

The topology of the band structure, which is determined by the lattice symmetries, has a strong influence on the transport properties. Here we consider an anisotropic honeycomb lattice and study the effect of a continuously deformed band…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 K. Ziegler , A. Sinner

The study of nanostructures' vibrational properties is at the core of nanoscience research, they are known to represent a fingerprint of the system as well as to hint the underlying nature of chemical bonds. In this work we focus on…

Mesoscale and Nanoscale Physics · Physics 2022-02-01 Jesús N. Pedroza-Montero , Ignacio L. Garzón , Huziel E. Sauceda

The eigenmodes and the vibrational density of states of the ground state configuration of graphene clusters are calculated using atomistic simulations. The modified Brenner potential is used to describe the carbon-carbon interaction and…

Materials Science · Physics 2013-01-29 Sandeep Kumar Singh , F. M. Peeters

This work presents a systematic review of the feature-rich essential properties in graphene-related systems using the first-principles method. The geometric and electronic properties are greatly diversified by the number of layers, the…

Chemical Physics · Physics 2017-02-14 Ngoc Thanh Thuy Tran , Shih-Yang Lin , Chiun-Yan Lin , Ming-Fa Lin
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