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We develop a formalism to extend our previous work on the electromagnetic $\delta$-function plates to a spherical surface. The electric ($\lambda_e$) and magnetic ($\lambda_g$) couplings to the surface are through $\delta$-function…

High Energy Physics - Theory · Physics 2017-11-08 Prachi Parashar , Kimball A. Milton , K. V. Shajesh , Iver Brevik

Closed expression for the Green's function of the stationary two-dimensional Schrodinger equation for an electron in group-VI dichalcogenides in the presence of a magnetic field is obtained in terms of the Whittaker functions. The resulting…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Tomasz M Rusin , Wlodek Zawadzki

We present a theoretical study of the spontaneous emission of a line dipole source embedded in a graphene--coated subwavelength wire of arbitrary shape. The modification of the emission and the radiation efficiencies are calculated by means…

Optics · Physics 2018-03-14 Mauro Cuevas

Following a nonperturbative formulation of strong-field QED developed in our earlier works, and using the Dirac model of the graphene, we construct a reduced QED_{3,2} to describe one species of the Dirac fermions in the graphene…

Mesoscale and Nanoscale Physics · Physics 2023-02-24 S. P. Gavrilov , D. M. Gitman

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 discuss the renormalization of the polarizability of a nanoparticle in the presence of either (i) a continuous graphene sheet or (ii) a plasmonic graphene grating, taking into account retardation effects. Our analysis demonstrates that…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Bruno Amorim , P. A. D. Gonçalves , M. I. Vasilevskiy , N. M. R. Peres

Strong modification of spontaneous emission of Eu3+ ions placed in close vicinity to thin and thick gold and silver films was clearly demonstrated in a microscope setup separately for electric and magnetic dipole transitions. We have shown…

Materials Science · Physics 2015-06-18 Rabia Hussain , David Keene , Natalia Noginova , Maxim Durach

This paper is aimed to review and promote the main applications of the methods of Quantum Field Theory to description of quantum effects in graphene. We formulate the effective electromagnetic action following from the Dirac model for the…

High Energy Physics - Theory · Physics 2016-12-22 Ignat V. Fialkovsky , Dmitri V. Vassilevich

Structure and coordinate dependence of the reflected wave, as well as boundary conditions for quasi-particles of graphene and the two dimensional electron gas in sheets with abrupt lattice edges are obtained and analyzed by the Green's…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 A. M. Kadigrobov

The ability to effectively guide electromagnetic radiation below the diffraction limit is of the utmost importance in the prospect of all-optical plasmonic circuitry. Here, we propose an alternative solution to conventional metal-based…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 P. A. D. Gonçalves , E. J. C. Dias , Sanshui Xiao , M. I. Vasilevskiy , N. Asger Mortensen , N. M. R. Peres

The particle-hole excitation spectrum for doped graphene is calculated from the dynamical polarizability. We study the zero and finite magnetic field cases and compare them to the standard two-dimensional electron gas. The effects of…

Mesoscale and Nanoscale Physics · Physics 2010-02-21 R. Roldan , M. O. Goerbig , J. -N. Fuchs

Active metasurfaces have recently emerged as compact, lightweight, and efficient platforms for dynamic control of electromagnetic fields and optical responses. However, the complexities associated with their post-fabrication tunability…

The energy spectra and wavefunctions of bound excitons in important two-dimensional (2D) graphene derivatives, i.e., graphyne and graphane, are found to be strongly modified by quantum confinement, making them qualitatively different from…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Shouting Huang , Yufeng Liang , Li Yang

We present a rigorous electromagnetic method based on Green's second identity for studying the plasmonic response of graphene-coated wires of arbitrary shape. The wire is illuminated perpendicular to its axis by a monochromatic…

Optics · Physics 2017-05-24 Claudio Valencia , Máximo A. Riso , Mauro Cuevas , Ricardo A. Depine

Computation of electromagnetic fields due to point sources (Hertzian dipoles) in cylindrically stratified media is a classical problem for which analytical expressions of the associated tensor Green's function have been long known. However,…

Mathematical Physics · Physics 2014-05-30 H. Moon , F. L. Teixeira , B. Donderici

Using perturbation expansion of Maxwell equations, the amplitude equation is derived for nonlinear TM and TE surface plasmon waves supported by graphene. The equation describes interplay between in-plane beam diffraction and nonlinerity due…

Optics · Physics 2013-01-29 A. V. Gorbach

We present a numerical approach for the solution of electromagnetic scattering from a dielectric cylinder partially covered with graphene. It is based on a classical Fourier-Bessel expansion of the fields inside and outside the cylinder to…

Optics · Physics 2025-03-07 Youssef Jeyar , Mauro Antezza , Brahim Guizal

We perform a comprehensive analysis of the spectrum of graphene plasmons which arise when a pair of sheets are confined between conducting materials. The associated enhanced local fields may be employed in the manipulation of light on the…

Mesoscale and Nanoscale Physics · Physics 2017-09-05 Godfrey Gumbs , Dipendra Dahal , Antonios Balassis

We address the spatially nonlocal dielectric functions of graphene at any frequency derived starting fromthe first principles of thermal quantum field theory using the formalism of the polarization tensor. After a brief review of this…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 V. M. Mostepanenko , G. L. Klimchitskaya

We present a fast multipole method (FMM) for solving Maxwell's equations in three-dimensional (3-D) layered media, based on the magnetic vector potential $\boldsymbol A$ under the Lorenz gauge, to derive the layered dyadic Green's function.…

Numerical Analysis · Mathematics 2025-07-25 Heng Yuan , Bo Wang , Wenzhong Zhang , Wei Cai