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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

In this study we report our numerical results on finite temperature non-interacting dynamical polarization function, plasmon modes and electron energy loss function of doped single layer gapped graphene within the random phase…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Digish K. Patel , Syed S. Z. Ashraf , Ami C. Sharma

We calculate 1-loop polarization in bilayer graphene in the 4-band approximation for arbitrary values of frequency, momentum and doping. At low and high energy our result reduces to the polarization functions calculated in the 2-band…

Strongly Correlated Electrons · Physics 2015-03-19 O. V. Gamayun

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 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 theoretically study the dynamic screening properties of bilayer graphene within the random phase approximation assuming quadratic band dispersion and zero gap for the single-particle spectrum. We calculate the frequency dependent…

Materials Science · Physics 2010-11-18 Rajdeep Sensarma , E. H. Hwang , S. Das Sarma

Numerical and closed-form analytic expressions for plasmon dispersion relations and rates of dissipation are first obtained at finite-temperatures for free-standing gapped graphene. These closed-system results are generalized to an open…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Andrii Iurov , Godfrey Gumbs , Danhong Huang , V. M. Silkin

We calculate the dynamical dielectric function of doped double-layer graphene (DLG), made of two parallel graphene monolayers with carrier densities n 1, n2, respectively, and an interlayer separation of d at finite temperature. The results…

Materials Science · Physics 2011-01-17 Dinh Van Tuan , Nguyen Quoc Khanh

We compute the dynamical polarization function for a graphene antidot lattice in the random-phase approximation. The computed polarization functions display a much more complicated structure than what is found for pristine graphene (even…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 M. H. Schultz , A. P. Jauho , T. G. Pedersen

We investigate the optical properties of layered structures with graphene at the interface for arbitrary linear polarization at finite temperature including full retardation by working in the Weyl gauge. As a special case, we obtain the…

Mesoscale and Nanoscale Physics · Physics 2012-10-23 T. Stauber , G. Gómez-Santos

Screened plasmon properties of graphene near a perfect electric conductor are investigated using classical electrodynamics and a linearized hydrodynamic model that includes Fermi correction. A general expression for the dispersion relation…

Optics · Physics 2023-08-08 Afshin Moradi , Nurhan Turker Tokan

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 study the collective charge excitations (plasmons) in spin polarized graphene, and derive explicit expressions for their dispersion in the undamped regime. From this, we are able to calculate the critical wave vector beyond which the…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Amit Agarwal , Giovanni Vignale

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

We report our theoretical calculations on the temperature and energy dependent electrical conductivity of gapped graphene within the framework of Boltzmann transport formalism. Since screening effects have known to be of vital importance in…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Digish K Patel , A C Sharma , S S Z Ashraf

We study the optical properties of double-layer graphene for linearly polarized evanescent modes and discuss the in-phase and out-of-phase plasmon modes for both, longitudinal and transverse polarization. We find a energy for which…

Mesoscale and Nanoscale Physics · Physics 2012-02-22 T. Stauber , G. Gómez-Santos

Plasmons in low-dimensional systems respresent an important tool for coupling energy into nanostructures and the localization of energy on the scale of only a few nanometers. Contrary to ordinary surface plasmons of metallic bulk materials,…

Mesoscale and Nanoscale Physics · Physics 2017-01-19 H. Pfnür , C. Tegenkamp , L. Vattuone

We calculate the long-wavelength static screening properties of both neutral and doped graphene in the framework of density-functional theory. We use a plane-wave approach with periodic images in the third dimension and truncate the Coulomb…

Materials Science · Physics 2015-05-20 Thibault Sohier , Matteo Calandra , Francesco Mauri

The suite of highly confined polaritons supported by two-dimensional (2D) materials constitutes a versatile platform for nano-optics, offering the means to channel light on deep-subwavelength scales. Graphene, in particular, has attracted…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 T. P. Rasmussen , P. A. D. Gonçalves , Sanshui Xiao , Sebastian Hofferberth , N. Asger Mortensen , Joel D. Cox

A model of 2D massive Dirac fermions, interacting with a instantaneous $1/r$ Coulomb interaction, is presented to mimic the physics of gapped graphene. The static polarization function is calculated explicitly to analyze screening effect at…

Other Condensed Matter · Physics 2015-05-20 Jia-Ning Zhang
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