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Photon-assisted electron transport in ballistic graphene is analyzed using scattering theory. We show that the presence of an ac signal (applied to a gate electrode in a region of the system) has interesting consequences on electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Trauzettel , Ya. M. Blanter , A. F. Morpurgo

The Dirac point and linear band structure in Graphene bestow it with remarkable electronic and optical properties, a subject of intense ongoing research. Explanations of high electronic mobility in graphene, often invoke the masslessness of…

Mesoscale and Nanoscale Physics · Physics 2019-03-21 Chaitanya K. Ullal , Jian Shi , Ravishankar Sundararaman

We study the integer and fractional quantum Hall effect on a honeycomb lattice at half-filling (graphene) in the presence of disorder and electron-electron interactions. We show that the interactions between the delocalized chiral edge…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. H. Castro Neto , F. Guinea , N. M. R. Peres

In recent work by Schnez et al. [PRB 78, 195427 (2008)], they studied the analytical model of the energy spectrum of a graphene quantum dot in a perpendicular magnetic field. In this comment we first point out that the results Eqs.(5), (6)…

Mesoscale and Nanoscale Physics · Physics 2016-07-22 Babatunde J. Falaye , Guo-Hua Sun , Wen-Chao Qiang , Shi-Hai Dong

We propose an extensive report on the simulation of electronic transport in 2D graphene in presence of structural defects. Amongst the large variety of such defects in sp$^2$ carbon-based materials, we focus on the Stone-Wales defect and on…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 Aurelien Lherbier , Simon M. -M. Dubois , Xavier Declerck , Yann-Michel Niquet , Stephan Roche , Jean-Christophe Charlier

The chapter generalizes results on influence of uniaxial strain and adsorption on the electron states and charge transport or localization in graphene with different configurations of imperfections (point defects): resonant (neutral)…

The evolution of electronic wave packets (WPs) through grain boundaries (GBs) of various structures in graphene was investigated by the numerical solution of the time-dependent Schroedinger equation. WPs were injected from a simulated STM…

Mesoscale and Nanoscale Physics · Physics 2013-08-12 Péter Vancsó , Géza I. Márk , Philippe Lambin , Alexandre Mayer , Yong-Sung Kim , Chanyong Hwang , László P. Biró

We prescribe general rules to predict the existence of edge states and zero-energy flat bands in graphene nanoribbons and graphene edges of arbitrary shape. No calculations are needed. For the so-called {\it{minimal}} edges, the projection…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 W. Jaskolski , A. Ayuela , M. Pelc , H. Santos , L. Chico

When two graphene layers are rotated from AA or AB configuration by a small angle, the band structure changes dramatically. Numerical calculations have shown that, at certain discrete angles called magic angles, the low energy bands become…

Mesoscale and Nanoscale Physics · Physics 2018-05-24 Hridis K. Pal

We undertake an exact numerical study of the effects of disorder on the Anderson localization of electronic states in graphene. Analyzing the scaling behaviors of inverse participation ratio and geometrically averaged density of states, we…

Mesoscale and Nanoscale Physics · Physics 2011-05-12 Yun Song , Hongkang Song , Shiping Feng

Graphene - a single atomic layer of graphite - is a recently-found two-dimensional form of carbon, which exhibits high crystal quality and ballistic electron transport at room temperature. Soft magnetic NiFe electrodes have been used to…

Mesoscale and Nanoscale Physics · Physics 2019-08-19 E. W. Hill , A. K. Geim , K. Novoselov , F. Schedin , P. Blake

The observations reported by Franke-Arnold et al (SCIENCE Reports, 1 July 2011 p. 65) do not provide evidence of slow light enhanced rotary photon drag as claimed, but arise from well-known saturable absorption phenomena consistent with the…

Optics · Physics 2012-01-17 Adrian C. Selden

A comment on the paper by Lopez et al. [A. Lopez, Z. Z. Sun, and J. Schliemann, Phys. Rev. B 85, 205428 (2012)].

Mesoscale and Nanoscale Physics · Physics 2012-06-20 Y. Zhou , M. W. Wu

We develop a theory for graphene magnetotransport in the presence of carrier spin polarization as induced, for example, by the application of an in-plane magnetic field ($B$) parallel to the 2D graphene layer. We predict a negative…

Mesoscale and Nanoscale Physics · Physics 2009-08-14 E. H. Hwang , S. Das Sarma

We report on a numerical study of quantum transport in disordered two dimensional graphene and graphene nanoribbons. By using the Kubo and the Landauer approaches, transport length scales in the diffusive (mean free path, charge mobilities)…

Mesoscale and Nanoscale Physics · Physics 2011-05-17 Aurelien Lherbier , Blanca Biel , Yann-Michel Niquet , Stephan Roche

We put forward a theory of the weak localization in two dimensional graphene layers which explains experimentally observable transition between positive and negative magnetoresistance. Calculations are performed for the whole range of…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 M. O. Nestoklon , N. S. Averkiev

We propose a mechanical granular graphene obtained by replacing the carbon atoms with macroscopic spherical stainless steel beads in contact. The experimental measured dispersion relation is presented, in conjunction with evidence of the…

Applied Physics · Physics 2019-06-05 Li-Yang Zheng , Florian Allein , Vincent Tournat , Vitalyi Gusev , Georgios Theocharis

We study electronic transport in graphene nanoribbons with rough edges. We first consider a model of weak disorder that corresponds to an armchair ribbon whose width randomly changes by a single unit cell size. We find that in this case,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ivar Martin , Ya. M. Blanter

The law of reflection states that smooth surfaces reflect waves specularly, thereby acting as a mirror. This law is insensitive to disorder as long as its length scale is smaller than the wavelength. Monolayer graphene exhibits a linear…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 E. Walter , T. Ö. Rosdahl , A. R. Akhmerov , F. Hassler

The edges of graphene-based systems possess unusual electronic properties, originating from the non-trivial topological structure associated to the pseudo-spinorial character of the electron wave-functions. These properties, which have no…

Mesoscale and Nanoscale Physics · Physics 2011-01-24 Jian Li , Ivar Martin , Markus Buttiker , Alberto F. Morpurgo