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Related papers: Screening in graphene antidot lattices

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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

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

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

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

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

We compute the dynamical polarizability of graphene beyond the usual Dirac cone approximation, integrating over the full Brillouin zone. We find deviations at $\hbar\omega=2t$ ($t$ the hopping parameter) which amount to a logarithmic…

Mesoscale and Nanoscale Physics · Physics 2010-02-05 T. Stauber , J. Schliemann , N. M. R. Peres

Patterned graphene, as an atomically thin layer, supports localized surface plasmon-polaritons (LSPPs) at mid-infrared or far-infrared frequencies. This provides a pronounced optical force/torque in addition to large optical cross sections…

Optics · Physics 2017-04-05 E. Mobini , A. Rahimzadegan , R. Alaee , C. Rockstuhl

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

The excitation spectrum and the collective modes of graphene antidot lattices (GALs) are studied in the context of a $\pi$-band tight-binding model. The dynamical polarizability and dielectric function are calculated within the random phase…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Shengjun Yuan , Fengping Jin , Rafael Roldán , Antti-Pekka Jauho , M. I. Katsnelson

We study the dependence of the plasmon dispersion relation of graphene on applied uniaxial strain. Besides electron correlation at the RPA level, we also include local field effects specific for the honeycomb lattice. As a consequence of…

Mesoscale and Nanoscale Physics · Physics 2010-09-21 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

We have investigated the role of pseudospin polarization in electron wave packet dynamics in pristine graphene and in a graphene antidot lattice subject to an external magnetic field. Employing a Green's function formalism, we show that the…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 R. A. W. Ayyubi , N. J. M. Horing , K. Sabeeh

We calculate the dynamic polarizability under the random phase approximation for the dice lattice. This two-dimensional system gives rise to massless Dirac fermions with pseudospin-1 in the low-energy quantum excitation spectrum, providing…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 John D. Malcolm , Elisabeth J. Nicol

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

The dispersion relation of surface plasmon polaritons in graphene that includes optical losses is often obtained for complex wave vectors while the frequencies are assumed to be real. This approach, however, is not suitable for describing…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Zeeshan Ahmad , Egor A. Muljarov , Sang Soon Oh

Exploring the properties of strongly correlated systems through quantum simulation with photons, cold atoms or polaritons represents an active area of research. In fact, the latter permits to shed the light on the behavior of complex…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Dmitry R. Gulevich , Dmitry Yudin

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

With the unique possibilities for controlling light in nanoscale devices, graphene plasmonics has opened new perspectives to the nanophotonics community with potential applications in metamaterials, modulators, photodetectors, and sensors.…

Optics · Physics 2016-06-07 Sanshui Xiao , Xiaolong Zhu , Bo-Hong Li , N. Asger Mortensen

After deriving a general correspondence between linear response correlation functions in graphene with and without applied uniaxial strain, we study the dependence on the strain modulus and direction of selected electronic properties, such…

Mesoscale and Nanoscale Physics · Physics 2011-11-04 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

Graphene antidot lattices constitute a novel class of nano-engineered graphene devices with controllable electronic and optical properties. An antidot lattice consists of a periodic array of holes which causes a band gap to open up around…

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
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