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Reflectance and transmittance of graphene in the optical region are analyzed as a function of frequency, temperature, and carrier density. We show that the optical graphene properties are determined by the direct interband electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. A. Falkovsky

We consider a screened Coulomb interaction between electrons in graphene and determine their dynamic response functions, such as a longitudinal and a transverse electric conductivity and a polarization function and compare them to the…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 M. Agarwal , E. G. Mishchenko

We evaluate the stopping and image forces on a charged particle moving parallel to a doped sheet of graphene by using the dielectric response formalism for graphene's $\pi$-electron bands in the random phase approximation (RPA). The forces…

Materials Science · Physics 2009-11-10 K. F. Allison , D. Borka , I. Radović , Lj. Hadžievski , Z. L. Mišković

We argue that the unscreened Coulomb interaction in graphene provides a positive, universal, and logarithmic correction to scaling of zero-temperature conductivity with frequency. The combined effect of the disorder due to wrinkling of the…

Mesoscale and Nanoscale Physics · Physics 2008-01-28 Igor F. Herbut , Vladimir Juricic , Oskar Vafek

In this paper we study the excitation spectrum of graphene in a strong magnetic field, beyond the Dirac cone approximation. The dynamical polarizability is obtained using a full $\pi$-band tight-binding model where the effect of the…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

The effect of electron-electron interaction on the low-temperature conductivity of graphene is investigated experimentally. Unlike in other two-dimensional systems, the electron-electron interaction correction in graphene is sensitive to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 A. A. Kozikov , A. K. Savchenko , B. N. Narozhny , A. V. Shytov

The exact vanishing of the interaction corrections to the zero temperature and zero frequency conductivity of graphene in the presence of weak short range interactions is rigorously established.

Strongly Correlated Electrons · Physics 2015-05-20 Alessandro Giuliani , Vieri Mastropietro , Marcello Porta

In the continuum low energy model, we calculate the one-loop dynamical polarization functions in ABC-stacked (rhombohedral) $n$-layer graphene in a magnetic field. Neglecting the trigonal warping effects, they are derived as functions of…

Strongly Correlated Electrons · Physics 2014-08-27 O. O. Sobol , E. V. Gorbar , V. P. Gusynin

We investigate the electromechanical response of doubly clamped graphene nanoribbons to a transverse gate voltage. An analytical model is developed to predict the field-induced deformation of graphene nanoribbons as a function of field…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Zhao Wang , Laetitia Philippe , Jamil Elias

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that,…

High Energy Physics - Theory · Physics 2014-01-16 C. Bastos , O. Bertolami , N. Dias , J. Prata

The interplay between different types of disorder and electron-electron interactions in graphene planes is studied by means of Renormalization Group techniques. The low temperature properties of the system are determined by fixed points…

Strongly Correlated Electrons · Physics 2009-11-10 T. Stauber , F. Guinea , M. A. H. Vozmediano

The dynamical dielectric function of two dimensional graphene at arbitrary wave vector $q$ and frequency $\omega$, $\epsilon(q,\omega)$, is calculated in the self-consistent field approximation. The results are used to find the dispersion…

Strongly Correlated Electrons · Physics 2008-05-19 E. H. Hwang , S. Das Sarma

We perform a detailed analysis of electronic polarizability of graphene with different theoretical approaches. From Kubo's linear response formalism, we give a general expression of frequency and wave-vector dependent polarizability within…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Tao Zhu , Mauro Antezza , Jian-Sheng Wang

Tuning the macroscopic dielectric response on demand holds potential for actively tunable metaphotonics and optical devices. In recent years, graphene has been extensively investigated as a tunable element in nanophotonics. Significant…

Applied Physics · Physics 2019-10-23 Jeremy Brouillet , Georgia T. Papadakis , Harry A. Atwater

We provide a theoretical model that describes the dielectric coupling of a 2D layer of graphene, represented by a polarization function in the Random Phase Approximation, and a semi-infinite 3D substrate, represented by a surface response…

Mesoscale and Nanoscale Physics · Physics 2010-06-10 K. F. Allison , Z. L. Miskovic

The theoretical description for the reflectivity properties of dielectric, metal and semiconductor plates coated with graphene is developed in the framework of the Dirac model. Graphene is described by the polarization tensor allowing the…

Materials Science · Physics 2016-04-07 G. L. Klimchitskaya , C. C. Korikov , V. M. Petrov

We theoretically consider the effect of plasmon collective modes on the frequency-dependent conductivity of graphene in the presence of the random static potential of charged impurities. We develop an equation of motion approach suitable…

Mesoscale and Nanoscale Physics · Physics 2013-08-09 K. Kechedzhi , S. Das Sarma

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 show that the presence of parity-odd terms in the conductivity (or, in other words, in the polarization tensor of Dirac quasiparticles in graphene) leads to rotation of polarization of the electromagnetic waves passing through suspended…

High Energy Physics - Theory · Physics 2009-12-04 I. V. Fialkovsky , D. V. Vassilevich

We provide detailed calculation of the a.c. conductivity in the case of 1/r-Coulomb interacting massless Dirac particles in graphene in the collisionless limit when \omega >> T. The analysis of the electron self-energy, current vertex…

Mesoscale and Nanoscale Physics · Physics 2010-12-23 Vladimir Juricic , Oskar Vafek , Igor F. Herbut