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One of the many remarkable properties of graphene is that in the low energy limit the dynamics of its electrons can be effectively described by the massless Dirac equation. This has prompted investigations of graphene based on the lattice…

High Energy Physics - Lattice · Physics 2012-04-25 Richard Brower , Claudio Rebbi , David Schaich

Motivated by recent experiments on suspended graphene showing carrier mobilities as high as 200,000 cm^2/Vs, we theoretically calculate transport properties assuming Coulomb impurities as the dominant scattering mechanism. We argue that the…

Materials Science · Physics 2008-05-11 S. Adam , S. Das Sarma

The quantum Hall effect is widely used for the investigation of fundamental phenomena, ranging from topological phases to composite fermions. In particular, the discovery of a room temperature resistance quantum in graphene is significant…

The temperature dependence of the mobility in suspended graphene samples is investigated. In clean samples, flexural phonons become the leading scattering mechanism at temperature $T \gtrsim 10\,\,$K, and the resistivity increases…

There is an interesting proposal that the long-range Coulomb interaction in suspended graphene can generate a dynamical gap, which leads to a semimetal-insulator phase transition. We revisit this problem by solving the self-consistent…

Strongly Correlated Electrons · Physics 2015-06-04 Jing-Rong Wang , Guo-Zhu Liu

There is an increasing amount of literature concerning electronic properties of graphene close to the neutrality point. Many experiments continue using the two-probe geometry or invasive contacts or do not control samples' macroscopic…

Mesoscale and Nanoscale Physics · Physics 2010-08-27 P. Blake , R. Yang , S. V. Morozov , F. Schedin , L. A. Ponomarenko , A. A. Zhukov , I. V. Grigorieva , K. S. Novoselov , A. K. Geim

The one-loop polarization function of graphene has been calculated at zero temperature for arbitrary wavevector, frequency, chemical potential (doping), and band gap. The result is expressed in terms of elementary functions and is used to…

Strongly Correlated Electrons · Physics 2008-12-12 P. K. Pyatkovskiy

We adopt the GW approximation and random phase approximation to study finite temperature effects on the inelastic mean free path and quasiparticle lifetime by directly calculating the imaginary part of the finite temperature self-energy…

Mesoscale and Nanoscale Physics · Physics 2013-02-08 Qiuzi Li , S. Das Sarma

We study the ground-state properties of a double layer graphene system with the Coulomb interlayer electron-electron interaction modeled within the random phase approximation. We first obtain an expression of the quantum capacitance of a…

Materials Science · Physics 2017-09-06 Fariborz Parhizgar , Alireza Qaiumzadeh , Reza Asgari

The one-loop dynamical polarization function of graphene in an external magnetic field is calculated as a function of wavevector and frequency at finite chemical potential, temperature, band gap, and width of Landau levels. The exact…

Strongly Correlated Electrons · Physics 2011-02-28 P. K. Pyatkovskiy , V. P. Gusynin

A yet unexplored area in graphene electronics is the field of quantum ballistic transport through graphene nanostructures. Recent developments in the preparation of high mobility graphene are expected to lead to the experimental…

The electrical conductivity of suspended graphene has recently been measured for the first time, and found to behave as \sigma ~ \sqrt{|n|} as expected for Dirac quasiparticles at large carrier density. The charge inhomogeneity is strongly…

Strongly Correlated Electrons · Physics 2016-08-14 Joaquín E. Drut , Timo A. Lähde , Eero Tölö

We discuss the Monte Carlo method of simulating lattice field theories as a means of studying the low-energy effective theory of graphene. We also report on simulational results obtained using the Metropolis and Hybrid Monte Carlo methods…

Strongly Correlated Electrons · Physics 2009-04-21 Joaquín E. Drut , Timo A. Lähde

The first-order interaction correction to the irreducible polarization function of pristine graphene is studied at arbitrary relation between momentum and frequency. The results are used to calculate the dielectric function and the…

Mesoscale and Nanoscale Physics · Physics 2012-09-20 Inti Sodemann , Michael M. Fogler

Many-body electron-electron interaction effects are theoretically considered in monolayer graphene from a continuum effective field-theoretic perspective by going beyond the standard leading-order perturbative renormalization group (RG)…

Mesoscale and Nanoscale Physics · Physics 2014-07-01 Edwin Barnes , E. H. Hwang , R. E. Throckmorton , S. Das Sarma

We calculate, within the leading-order dynamical-screening approximation, the electron self-energy and spectral function at zero temperature for extrinsic (or gated/doped) graphene. We also calculate hot carrier inelastic scattering due to…

Mesoscale and Nanoscale Physics · Physics 2008-05-12 E. H. Hwang , Ben Yu-Kuang Hu , S. Das Sarma

Thermal ripples of graphene are well understood at room temperature, but their quantum counterparts at low temperatures are still in need of a realistic quantitative description. Here we present atomistic path-integral Monte Carlo…

Materials Science · Physics 2018-04-18 Juraj Hasik , Erio Tosatti , Roman Martonak

We report a systematic study of the contact resistance present at the interface between a metal (Ti) and graphene layers of different, known thickness. By comparing devices fabricated on 11 graphene flakes we demonstrate that the contact…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Russo , M. F. Craciun , M. Yamamoto , A. F. Morpurgo , S. Tarucha

In this article, we investigate the temperature and chemical potential dependence of the optical conductivity of graphene, within a field theoretical representation in the continuum approximation, arising from an underlying tight-binding…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Horacio Falomir , Enrique Muñoz , Marcelo Loewe , Renato Zamora

We discuss the novel electronic properties of graphene under an external periodic scalar or vector potential, and the analytical and numerical methods used to investigate them. When graphene is subjected to a one-dimensional periodic scalar…

Materials Science · Physics 2011-02-21 Cheol-Hwan Park , Liang Zheng Tan , Steven G. Louie