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We investigate the conductance of an undoped graphene sheet with two metallic contacts and an electrostatically gated island (quantum dot) between the contacts. Our analysis is based on the Matrix Green Function formalism, which was…

Mesoscale and Nanoscale Physics · Physics 2011-10-05 Martin Schneider , Piet W. Brouwer

The present work develops a rigorous framework for collective dipole oscillations in dense dielectric media by extending the Lorentz oscillator model to include both quadratic (second order) and cubic (third order) nonlinear restoring…

Optics · Physics 2025-09-29 Shouvik Sadhukhan , C. S. Narayanamurthy

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

The production of multiple types of graphene, such as free standing, epitaxial graphene on silicon carbide and metals, graphene in solution, chemically grown graphene-like molecules, various graphene nanoribbons, and graphene oxide with…

Materials Science · Physics 2013-01-14 D. W. Boukhvalov

We introduce a method for calculating the dielectric function of nanostructures with an arbitrary band dispersion and Bloch wave functions. The linear response of a dissipative electronic system to an external electromagnetic field is…

Mesoscale and Nanoscale Physics · Physics 2016-06-07 F. Karimi , A. H. Davoody , I. Knezevic

We explore the gapped graphene structure in the two-dimensional plane in the presence of the Rosen-Morse potential and an external uniform magnetic field. In order to describe the corresponding structure, we consider the propagation of…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 A. Kalani , Alireza Amani , M. A. Ramzanpour

This paper introduces a fast algorithm, applicable throughout the electromagnetic spectrum, for the numerical solution of problems of scattering by periodic surfaces in two-dimensional space. The proposed algorithm remains highly accurate…

Computational Physics · Physics 2018-05-25 Oscar Bruno , Martín Maas

We develop a theoretical description of intravalley scattering of quasiparticles in graphene from multiple short-range scatterers of size much greater than the carbon-carbon bond length. Our theory provides a method to rapidly calculate the…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 J. Y. Vaishnav , Justin Q. Anderson , Jamie D. Walls

This paper presents a new methodology for the solution of problems of two- and three-dimensional acoustic scattering (and, in particular, two-dimensional electromagnetic scattering) by obstacles and defects in presence an arbitrary number…

Numerical Analysis · Mathematics 2017-08-23 Oscar P. Bruno , Carlos Pérez-Arancibia

DFT calculations yield useful ground-state energies and densities, while Green's function techniques (such as $GW$) are mostly used to produce spectral functions. From the Galitskii-Migdal formula, we extract the exchange-correlation of DFT…

Chemical Physics · Physics 2024-03-13 Steven Crisostomo , E. K. U. Gross , Kieron Burke

A general analytic form of the full 6x6 dyadic Green's function of a spherically symmetric open optical system is presented, with an explicit solution provided for a homogeneous sphere in vacuum. Different spectral representations of the…

Optics · Physics 2020-09-08 E. A. Muljarov

The study of wave propagation and scattering in time-dependent materials is a rapidly growing field of research. Whereas for 1D applications there is a simple relation between the wave equations for space-dependent and time-dependent…

Applied Physics · Physics 2025-02-07 Kees Wapenaar

In this review we focus on the effect of the Dirac nature of graphene quasiparticles on two separate aspects. The first of these involves transport across superconducting graphene junctions with barriers of thickness $d_0$ and arbitrary…

Strongly Correlated Electrons · Physics 2012-09-11 M. Maiti , K. Saha , K. Sengupta

Thermoelectric phenomena in photoexcited graphene have been the topic of several theoretical and experimental studies because of their potential usefulness in optoelectronic applications. However, available theoretical descriptions of the…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Andrea Tomadin , Marco Polini

We present an efficient implementation of a surface Green's-function method for atomistic modeling of surfaces within the framework of density functional theory using a pseudopotential localized basis set approach. In this method, the…

This contribution presents a novel Windowed Green Function (WGF) method for the solution of problems of wave propagation, scattering and radiation for structures which include open (dielectric) waveguides, waveguide junctions, as well as…

Numerical Analysis · Mathematics 2017-10-11 Oscar Bruno , Emmanuel Garza , Carlos Perez-Arancibia

A transfer matrix method is presented for solving the scattering problem for the quasi one-dimensional massless Dirac equation applied to graphene in the presence of an arbitrary inhomogeneous electric and perpendicular magnetic field. It…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Sameer Grover , Sankalpa Ghosh , Manish Sharma

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

A simple integral representation is derived for the quasiclassical Green function of the Dirac equation in an arbitrary spherically-symmetric decreasing external field. The consideration is based on the use of the quasiclassical radial wave…

High Energy Physics - Theory · Physics 2009-10-28 R. N. Lee , A. I. Milstein

Sub-wavelength arrays of quantum emitters offer an efficient free-space approach to coherent light-matter interfacing, using ultracold atoms or two-dimensional solid-state quantum materials. The combination of collectively suppressed…

Quantum Gases · Physics 2024-12-16 Simon Panyella Pedersen , Georg M. Bruun , Thomas Pohl
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