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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

Close to charge neutrality, the low-energy properties of high-quality suspended devices based on atomically thin graphene layers are determined by electron-electron interactions. Bernal-stacked layers, in particular, have shown a remarkable…

Strongly Correlated Electrons · Physics 2016-10-20 Youngwoo Nam , Dong-Keun Ki , Mikito Koshino , Edward McCann , Alberto F. Morpurgo

Electron-electron interactions play a critical role in many condensed matter phenomena, and it is tempting to find a way to control them by changing the interactions' strength. One possible approach is to place a studied system in proximity…

We develop a theory for density, disorder, and temperature dependent electrical conductivity of bilayer graphene in the presence of long-range charged impurity scattering as well as an additional short-range disorder of independent origin,…

Mesoscale and Nanoscale Physics · Physics 2010-04-21 S. Das Sarma , E. H. Hwang , E. Rossi

We analyze the effect of screening provided by the additional graphene layer in double layer graphene heterostructures (DLGs) on transport characteristics of DLG devices in the metallic regime. The effect of gate-tunable charge density in…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 K. Kechedzhi , E. H. Hwang , S. Das Sarma

This paper provides a variational treatment of the effect of external charges on the free charges in an infinite free-standing graphene sheet within the Thomas-Fermi theory. We establish existence, uniqueness and regularity of the energy…

Analysis of PDEs · Mathematics 2024-09-12 Vitaly Moroz , Cyrill B. Muratov

A simplified model has previously described the inductive charging of colliding identical grains in the presence of an external electric field. Here we extend that model by including heterogeneous surface charge distributions, grain…

Computational Physics · Physics 2016-12-15 R. Yoshimatsu , N. A. M. Araújo , T. Shinbrot , H. J. Herrmann

The charge carrier density in graphene on a dielectric substrate such as SiO$_2$ displays inhomogeneities, the so-called charge puddles. Because of the linear dispersion relation in monolayer graphene, the puddles are predicted to grow near…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 S. Samaddar , I. Yudhistira , S. Adam , H. Courtois , C. B. Winkelmann

We present a methodology to address, from first principles, charge-spin interconversion in two-dimensional materials with spin-orbit coupling. Our study relies on an implementation of density functional theory based quantum transport…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Maedeh Rassekh , Hernán Santos , Andrea Latge , Leonor Chico , Saber Farjami Shayesteh , Juan Jose Palacios

We study the effect of long-range disorder created by charge impurities on the carrier density distribution of graphene-based heterostructures. We consider heterostructures formed by two graphenic sheets (either single layer graphene, SLG,…

Mesoscale and Nanoscale Physics · Physics 2014-07-10 Martin Rodriguez-Vega , Jonathan Fischer , S. Das Sarma , E. Rossi

The effect of charge-carrier screening on the transport properties of a neutral graphene sheet is studied by directly probing its electronic structure. We find that the Fermi velocity, Dirac point velocity, and overall distortion of the…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 David A. Siegel , William Regan , Alexei V. Fedorov , A. Zettl , Alessandra Lanzara

We experimentally investigate electrical transport properties of graphene, which is a two dimensional (2D) conductor with relativistic energy dispersion relation. By investigating single- and bi-layer graphene devices with different aspect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Miao , S. Wijeratne , U. Coskun , Y. Zhang , C. N. Lau

Undoped bilayer graphene is a two-dimensional semimetal with a low-energy excitation spectrum that is parabolic in the momentum. As a result, the screening of an arbitrary external charge $Ze$ is accompanied by a reconstruction of the…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 Eugene B. Kolomeisky , Joseph P. Straley , Daniel L. Abrams

The Raman shift, broadening, and relative Raman intensities of bilayer graphene are computed as functions of the electron concentration. We include dynamic effects for the phonon frequencies and we consider the gap induced in the band…

Materials Science · Physics 2009-09-11 Paola Gava , Michele Lazzeri , A. Marco Saitta , Francesco Mauri

We study electronic, charge, and magnetic properties of twisted bilayer graphene with fillings $2\leq n\leq 6$ per moire unit cell within the recently introduced formulation of extended dynamical mean-field theory (E-DMFT) for…

Strongly Correlated Electrons · Physics 2022-09-30 A. A. Katanin

The diffusion of electron-hole pairs, which are excited in an intrinsic graphene by the ultrashort focused laser pulse in mid-IR or visible spectral region, is described for the cases of peak-like or spread over the passive region…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 F. T. Vasko , V. V. Mitin

Charge transfer is a common phenomenon in van der Waals heterostructures with proper work function mismatch, which enables electrostatic gating to control band alignment and interlayer charge distributions. This provides a tunable platform…

Strongly Correlated Electrons · Physics 2026-01-16 Yanran Shi , Min Li , Xin Lu , Jianpeng Liu

Experiments are finally revealing intricate facts about graphene which go beyond the ideal picture of relativistic Dirac fermions in pristine two dimensional (2D) space, two years after its first isolation. While observations of rippling…

Other Condensed Matter · Physics 2009-11-13 Eun-Ah Kim , A. H. Castro Neto

We analyse doping of graphene grown on SiC in two models which differ by the source of charge transfered to graphene, namely, from SiC surface and from bulk donors. For each of the two models, we find the maximum electron density induced in…

Materials Science · Physics 2010-09-20 Sergey Kopylov , Alexander Tzalenchuk , Sergey Kubatkin , Vladimir I. Fal'ko

By taking account of the electric-field-induced charge screening, a self-consistent calculation within the framework of the tight-binding approach is employed to obtain the electronic band structure of gated multilayer phosphorene and the…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 L. L. Li , B. Partoens , F. M. Peeters