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Related papers: Screening in graphene antidot lattices

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A monolayer of graphene irradiated with circularly polarized light suggests a unique platform for surface electromagnetic wave (plasmon-polariton) manipulation. In fact, the time periodicity of the Hamiltonian leads to a geometric…

Mesoscale and Nanoscale Physics · Physics 2015-02-19 Dmitry Yudin , Olle Eriksson , Mikhail I. Katsnelson

The dispersion relation for magnetoplasmons in a planar superlattice with periodically alternating regions of gapless and gapped modications of graphene has been derived within the frame of the random-phase approximation. The contribution…

Mesoscale and Nanoscale Physics · Physics 2016-09-05 P. V. Ratnikov

Graphene plasmons are of remarkable features that make graphene plasmon elements promising for applications to integrated photonic devices. The fabrication of graphene plasmon components and control over plasmon propagating are of…

Optics · Physics 2016-04-15 Weiwei Luo , Wei Cai , Wei Wu , Yinxiao Xiang , Mengxin Ren , Xinzheng Zhang , Jingjun Xu

In this paper we study the excitation spectrum of single- and multi-layer graphene beyond the Dirac cone approximation. The dynamical polarizability of graphene is computed using a full $\pi$-band tight-binding model, considering the…

Mesoscale and Nanoscale Physics · Physics 2011-07-29 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

We calculate the dynamical polarization function and solve a self-consistent gap equation in the random phase approximation in undoped ABC-stacked n-layer graphene. We find that the gap is maximal in trilayer graphene and decreases…

Strongly Correlated Electrons · Physics 2013-12-04 Junji Jia , E. V. Gorbar , V. P. Gusynin

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 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 through analytic calculations the surface plasmon dispersion relation for monolayer graphene sheets and a separated parallel pair of graphene monolayers. An approximate form for the dispersion relation for the monolayer case…

Mesoscale and Nanoscale Physics · Physics 2012-03-21 Choon How Gan , Hong Son Chu , Er Ping Li

We explore the dielectric properties of graphene-like two-dimensional Kane-Mele topological insulators manifest in buckled honeycomb lattices (ex. silicene, germanene, etc.). The effect of an onsite potential difference ($\Delta_z$) between…

Mesoscale and Nanoscale Physics · Physics 2014-05-19 Calvin J. Tabert , Elisabeth J. Nicol

We calculate the polarization function of Dirac fermions in metallic armchair graphene nanoribbons for an arbitrary temperature and doping. We find that at finite temperatures due to the phase space redistribution among inter-band and…

Mesoscale and Nanoscale Physics · Physics 2015-07-22 A. A. Shylau , S. M. Badalyan , F. M. Peeters , A. P. Jauho

We point out that plasmons in doped graphene simultaneously enable low-losses and significant wave localization for frequencies below that of the optical phonon branch $\hbar\omega_{Oph}\approx 0.2$ eV. Large plasmon losses occur in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Marinko Jablan , Hrvoje Buljan , Marin Soljačić

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

The plasmon modes of pristine and impurity doped graphene are calculated, using a real-space theory which determines the non-local dielectric response within the random phase approximation. A full diagonalization of the polarization…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Rodrigo A. Muniz , Hari P. Dahal , A. V. Balatsky , Stephan Haas

We construct a lattice kinetic scheme to study electronic flow in graphene. For this purpose, we first derive a basis of orthogonal polynomials, using as weight function the ultrarelativistic Fermi-Dirac distribution at rest. Later, we use…

Statistical Mechanics · Physics 2015-06-15 D. Oettinger , M. Mendoza , H. J. Herrmann

We consider a square lattice configuration of circular gate-defined quantum dots in an unbiased graphene sheet and calculate the electronic, particularly spectral properties of finite albeit actual sample sized systems by means of a…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. Pieper , R. L. Heinisch , G. Wellein , H. Fehske

Although plasmon modes exist in doped graphene, the limited range of doping achieved by gating restricts the plasmon frequencies to a range that does not include visible and infrared. Here we show, through the use of first-principles…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 Sharmila N. Shirodkar , Marios Mattheakis , Paul Cazeaux , Prineha Narang , Marin Soljačić , Efthimios Kaxiras

Plasmon polaritons are formed by coupling light with delocalized electrons. The half-light and half-matter nature of plasmon polaritons endows them with unparalleled tunability via a range of parameters, such as dielectric environments and…

In this article we study the static polarization in ABC-stacked multilayer graphene. Since the density of states diverges for these systems if the number of layers exceeds three, screening effects are expected to be important. In the random…

Mesoscale and Nanoscale Physics · Physics 2013-09-24 R. van Gelderen , R. Olsen , C. Morais Smith

We study graphene antidot lattices -- superlattices of perforations (antidots) in a graphene sheet -- using a model that accounts for the phonon-modulation of the $\pi$-electron hopping integrals. We calculate the phonon spectra of selected…

Other Condensed Matter · Physics 2010-01-09 Nenad Vukmirovic , Vladimir M. Stojanovic , Mihajlo Vanevic

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