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The experimental availability of ultra-high-mobility samples of graphene opens the possibility to realize and study experimentally the "hydrodynamic" regime of the electron liquid. In this regime the rate of electron-electron collisions is…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Alessandro Principi , Giovanni Vignale

We investigate the plasmon dispersion relation and damping rate of collective excitations in a double-layer system consisting of bilayer graphene and GaAs quantum well, separated by a distance, at zero temperature with no interlayer…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Nguyen Van Men , Nguyen Quoc Khanh

We present a robust and exact method for calculating the polarization function and plasmon dispersion of graphene, for an arbitrary (isotropic) non-equilibrium carrier distribution, within random phase approximation (RPA). This is…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 A. Freddie Page , Joachim M. Hamm , Ortwin Hess

Multi-point probability measures along with the dielectric function of Dirac Fermions in mono-layer graphene containing particle-particle and white-noise (out-plane) disorder interactions on an equal footing in the Thomas-Fermi-Dirac…

Statistical Mechanics · Physics 2018-02-06 M. N. Najafi

The problem of electrostatic screening of a charged line by undoped or weakly doped graphene is treated beyond the linear-response theory. The induced electron density is found to be approximately doping independent, n(x)~(log x)^2/x^2, at…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Bor-Yuan Jiang , Michael M. Fogler

The polarization of graphene is calculated exactly within the random phase approximation for arbitrary frequency, wave vector, and doping. At finite doping, the static susceptibility saturates to a constant value for low momenta. At $q=2…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Wunsch , T. Stauber , F. Sols , F. Guinea

The electromagnetic response of graphene, expressed by the dielectric function, and the spectrum of collective excitations are studied as a function of wave vector and frequency. Our calculation is based on the full band structure,…

Strongly Correlated Electrons · Physics 2009-09-03 A. Hill , S. A. Mikhailov , K. Ziegler

Graphene is an ideal platform to study many-body effects due to its semimetallic character and the possibility to dope it over a wide range. Here we study the width of graphene's occupied $\pi$-band as a function of doping using…

Strongly Correlated Electrons · Physics 2016-08-10 Søren Ulstrup , Malte Schüler , Marco Bianchi , Felix Fromm , Christian Raidel , Thomas Seyller , Tim Wehling , Philip Hofmann

The screening properties and collective excitations (plasmons) in AA-stacked bilayer graphene are studied within the random phase approximation (RPA). Whereas long lived plasmons in single layer graphene and in AB-stacked bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2013-09-19 Rafael Roldan , Luis Brey

Graphene is a novel two-dimensional material with fascinating electrodynamic properties like the ability to support collective electron oscillations (plasmons) accompanied by tight confinement of electromagnetic fields. Our goal is to…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 Marinko Jablan

In this paper, we calculated the dielectric function, the loss function, the magnetoplasmon dispersion relation and the temperature-induced transitions for graphene in a uniform perpendicular magnetic field B. The calculations were…

Mesoscale and Nanoscale Physics · Physics 2014-04-14 Jhao-Ying Wu , Szu-Chao Chen , Oleksiy Roslyak , Godfrey Gumbs , Ming-Fa Lin

Graphene is described at low-energy by a massless Dirac equation whose eigenstates have definite chirality. We show that the tendency of Coulomb interactions in lightly doped graphene to favor states with larger net chirality leads to…

Strongly Correlated Electrons · Physics 2007-06-13 Yafis Barlas , T. Pereg-Barnea , Marco Polini , Reza Asgari , A. H. MacDonald

Coupling of plasmons in graphene at terahert (THz) frequencies with surface plasmons in a heavily-doped substrate is studied theoretically. We reveal that a huge scattering rate may completely damp out the plasmons, so that proper choices…

Mesoscale and Nanoscale Physics · Physics 2014-01-16 A. Satou , Y. Koseki , V. Ryzhii , V. Vyurkov , T. Otsuji

A thorough understanding of the electronic structure is a necessary first step for the design of nanoelectronics, chemical/bio-sensors, electrocatalysts, and nanoplasmonics using graphene. As such, theoretical spectroscopic techniques to…

Materials Science · Physics 2011-05-03 D. J. Mowbray , P. Ayala , V. Despoja , T. Pichler , A. Rubio

Many-body perturbation theory at the $G_0W_0$ level is employed to study the electronic properties of poly(\emph{para}-phenylene) (PPP) on graphene. Analysis of the charge density and the electrostatic potential shows that the…

Materials Science · Physics 2012-08-17 Peter Puschnig , Peiman Amiri , Claudia Draxl

We discuss that in the random phase approximation (RPA) the first derivative of the energy with respect to the Green's function is the self-energy in the GW approximation. This relationship allows us to derive compact equations for the RPA…

Chemical Physics · Physics 2017-03-22 Benjamin Ramberger , Tobias Schäfer , Georg Kresse

Within the tight binding approximation, we study the dependence of the electronic band structure and of the optical conductivity of a graphene single layer on the modulus and direction of applied uniaxial strain. While the Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2010-01-15 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

The charge distribution induced by external fields in finite stacks of graphene planes, or in semiinfinite graphite is considered. The interlayer electronic hybridization is described by a nearest neighbor hopping term, and the charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. Guinea

We address spin polarization dependence of graphene's Fermi liquid properties quantitatively using a microscopic Random Phase Approximation theory in an interacting spin-polarized Dirac electron system. We show an enhancement of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Alireza Qaiumzadeh , Kh. Jahanbani , Reza Asgari

Electron group velocity for graphene under uniform strain is obtained analitically by using the Tight-Binding approx- imation. Such closed analytical expressions are useful in order to calculate electronic, thermal and optical properties of…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Wilfrido A. Gómez-Arias , Gerardo G. Naumis