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The properties of suspended graphene are currently attracting enormous interest, but the small size of available samples and the difficulties in making them severely restrict the number of experimental techniques that can be used to study…

Mesoscale and Nanoscale Physics · Physics 2009-04-28 T. J. Booth , P. Blake , R. R. Nair , D. Jiang , E. W. Hill , U. Bangert , A. Bleloch , M. Gass , K. S. Novoselov , M. I. Katsnelson , A. K. Geim

The reflectivity of low energy electrons from graphene on copper substrates is studied both experimentally and theoretically. Well-known oscillations in the reflectivity of electrons with energies 0 - 8 eV above the vacuum level are…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 N. Srivastava , Qin Gao , M. Widom , R. M. Feenstra , Shu Nie , K. F. McCarty , I. V. Vlassiouk

Motivated by graphene-based quantum computer we examine the time-dependence of the position-momentum and position-velocity uncertainties in the monolayer gapped graphene. The effect of the energy gap to the uncertainties is shown to appear…

Quantum Physics · Physics 2012-03-21 Eylee Jung , Kwang S. Kim , DaeKil Park

Graphene's structure bears on both the material's electronic properties and fundamental questions about long range order in two-dimensional crystals. We present an analytic calculation of selected area electron diffraction from multi-layer…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Brian Shevitski , Matthew Mecklenburg , William A. Hubbard , E. R. White , Ben Dawson , M. S. Lodge , Masa Ishigami , B. C. Regan

A general theory is developed to describe graphene with arbitrary number of isolated impurities. The theory provides a basis for an efficient numerical analysis of the charge transport and is applied to calculate the minimal conductivity of…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 P. M. Ostrovsky , M. Titov , S. Bera , I. V. Gornyi , A. D. Mirlin

The paper reports a theoretical study of scattering of electrons by edges in graphene and its effect on Raman scattering. First, effective models are discussed for translationally invariant and rough edges. Second, they are used in a…

Materials Science · Physics 2009-05-28 D. M. Basko

We calculate theoretically the disorder-limited conductivity of monolayer and bilayer graphene on hexagonal boron nitride (h-BN) substrates, comparing our theoretical results with the recent experimental results. The comparison leads to a…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 S. Das Sarma , E. H. Hwang

Coherent motion of the electrons in the Bloch states is one of the fundamental concepts of the charge conduction in solid state physics. In layered materials, however, such a condition often breaks down for the interlayer conduction, when…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Youngwook Kim , Hoyeol Yun , Seung-Geol Nam , Minhyeok Son , Dong Su Lee , Dong Chul Kim , S. Seo , Hee Cheul Choi , Hu-Jong Lee , Sang Wook Lee , Jun Sung Kim

Detailed experimental and theoretical studies of the temperature dependence of the effect of different scattering mechanisms on electrical transport properties of graphene devices are presented. We find that for high mobility devices the…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 Suman Sarkar , Kazi Rafsanjani Amin , Ranjan Modak , Amandeep Singh , Subroto Mukerjee , Aveek Bid

We demonstrate theoretically that most of the observed transport properties of graphene sheets at zero magnetic field can be explained by scattering from charged impurities. We find that, contrary to common perception, these properties are…

Mesoscale and Nanoscale Physics · Physics 2008-01-14 Shaffique Adam , E. H. Hwang , Victor Galitski , S. Das Sarma

Harnessing the wave-nature of charge carriers in solid state devices, electron optics investigates and exploits coherent phenomena, in analogy with optics and photonics. Typically, this requires complex electronic devices leveraging…

Both transport $\tau_{tr}$ and elastic scattering times $\tau_{e}$ are experimentally determined from the carrier density dependence of the magnetoconductance of monolayer and bilayer graphene. Both times and their dependences in carrier…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Monteverde , C. Ojeda-Aristizabal , R. Weil , K. Bennaceur , M. Ferrier , S. Gueron , C. Glattli , H. Bouchiat , J. N. Fuchs , D. Maslov

We find that, for a very specific shape of a monolayer graphene sample, a general relativistic-like description of a back-ground spacetime for graphene's conductivity electrons is very natural. The corresponding electronic local density of…

Materials Science · Physics 2012-09-04 Alfredo Iorio , Gaetano Lambiase

Graphene is a realization of an esoteric class of materials -- electronic crystalline membranes. We study the interplay between the free electrons and the two-dimensional crystal, and find that it induces a substantial effect on the elastic…

Materials Science · Physics 2009-03-31 Doron Gazit

We probe the local inhomogeneities in the electronic properties of exfoliated graphene due to the presence of charged impurities in the SiO2 substrate using a combined scanning tunneling and electrostatic force microscope. Contact potential…

Mesoscale and Nanoscale Physics · Physics 2012-02-21 Andres Castellanos-Gomez , Roel H. M. Smit , Nicolás Agraït , Gabino Rubio-Bollinger

Theoretical progress in graphene physics has largely relied on the application of a simple nearest-neighbor tight-binding model capable of predicting many of the electronic properties of this material. However, important features that…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Z. M. Abd El-Fattah , M. A. Kher-Elden , I. Piquero-Zulaica , F. J. Garcia de Abajo , J. E. Ortega

In this paper the mono-layer graphene at the charge neutrality point is considered whithin Thomas-Fermi-Dirac theory, treating inhomogeneous external potentials and electron-electron interactions on equal footing. We present some general…

Statistical Mechanics · Physics 2016-09-26 M. N. Najafi , M. Ghasemi Nezhadhaghighi

In the present study, the anisotropic resistivity of the monolayer graphene has been obtained in semiclassical regime beyond the Dirac point approximation. In particular, detailed investigations were made on the dependence of conductivity…

Mesoscale and Nanoscale Physics · Physics 2015-07-20 J. Azizi , A. Phirouznia , K. Hasanirokh

In this review, we provide an in-depth description of the physics of monolayer and bilayer graphene from a theorist's perspective. We discuss the physical properties of graphene in an external magnetic field, reflecting the chiral nature of…

Materials Science · Physics 2014-11-20 D. S. L. Abergel , V. Apalkov , J. Berashevich , K. Ziegler , Tapash Chakraborty

The effect of a randomly fluctuating gap, created by a random staggered potential, is studied in a monolayer and a bilayer of graphene. The density of states, the one-particle scattering rate and transport properties (diffusion coefficient…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 K. Ziegler