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We have developed an approach to calculate the single-particle Green function of a one-dimensional many-body system in the strongly localized limit at zero temperature. Our approach, based on the locator expansion, sums the contributions of…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 A. N. Somoza , M. Ortuño , V. Gasparian , M. Pino

We present a quantum-field-theoretical framework based on path integrals and Feynman diagrams for the investigation of the quantum-optical properties of one-dimensional waveguiding structures with embedded quantum impurities. In particular,…

In this technical report, we present estimations of the discrete Green's function of the streamline diffusion finite element method (SDFEM) on Shishkin triangular meshes for problems with only exponential layers.

Numerical Analysis · Mathematics 2017-04-20 Jin Zhang

We study the Dirac sea in the presence of external chiral and scalar/pseudoscalar potentials. In preparation, a method is developed for calculating the advanced and retarded Green's functions in an expansion around the light cone. For this,…

High Energy Physics - Theory · Physics 2009-10-31 Felix Finster

Dyadic Green functions for time-harmonic fields in a homogeneous, isotropic, dielectric-magnetic medium, moving with constant velocity, are derived by first implementing a simple transformation and then using the dyadic Green functions…

Optics · Physics 2007-05-23 Akhlesh Lakhtakia , Tom G. Mackay

Light scattering is one of the most important elementary processes in near-field optics. We build up the Born series for scattering by dielectric bodies with step boundaries. The Green function for a 2-dimensional homogeneous dielectric…

Optics · Physics 2017-06-28 A. Bereza , A. Nemykin , S. Perminov , L. Frumin , D. Shapiro

Optical properties of heterostructures composed of layered 2D materials, such as transition metal dichalcogenides (TMDs) and graphene, are broadly explored. Of particular interest are light-induced energy transfer mechanisms in these…

Materials Science · Physics 2024-09-17 Amir Kleiner , Daniel Hernangómez-Pérez , Sivan Refaely-Abramson

The single-particle Green's function of an interacting Fermi system with dominant forward scattering is calculated by decoupling the interaction by means of a Hubbard-Stratonowich transformation involving a bosonic auxiliary field…

Condensed Matter · Physics 2007-05-23 Peter Kopietz

We have developed a Green's function formalism to compute the local field distribution near an interface separating two media of different dielectric constants. The Maxwell's equations are converted into a surface integral equation; thus it…

Soft Condensed Matter · Physics 2007-05-23 K. W. Yu , Jones T. K. Wan

Using in situ low-energy electron microscopy and density functional theory, we studied the growth structure and work function of bilayer graphene on Pd(111). Low-energy electron diffraction analysis established that the two graphene layers…

Materials Science · Physics 2013-03-29 Y. Murata , S. Nie , A. Ebnonnasir , E. Starodub , B. B. Kappes , K. F. McCarty , C. V. Ciobanu , S. Kodambaka

Using a semiclassical Boltzmann transport equation (BTE) approach, we derive analytical expressions for electric and thermoelectric transport coefficients of graphene in the presence and absence of a magnetic field. Scattering due to…

Materials Science · Physics 2017-04-26 Arpan Kundu , Majed Alrefae , Timothy S. Fisher

An accurate simulation of Green's function and self-energy function of non-interacting electrons in disordered graphenes are performed. Fundamental physical quantities such as the elastic relaxation time {\tau}e, the phase velocity vp, and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 W. Zhu , Q. W. Shi , X. R. Wang , X. P. Wang , J. L. Yang , Jie Chen , J. G. Hou

Monolayer epitaxial graphene is an appropriate candidate for a wide variety of electronic and optical applications. One advantage of growing graphene on the Si face of SiC is that it develops as a single crystal, as does the layer…

We provide a theoretical model that describes the dielectric coupling of a 2D layer of graphene, represented by a polarization function in the Random Phase Approximation, and a semi-infinite 3D substrate, represented by a surface response…

Mesoscale and Nanoscale Physics · Physics 2010-06-10 K. F. Allison , Z. L. Miskovic

Graphene is a mechanically robust 2D material promising for flexible optoelectronic applications. However, its electromagnetic properties under strain are experimentally poorly understood. Here we present the far-infrared transmission…

Mesoscale and Nanoscale Physics · Physics 2017-05-22 Manisha Chhikara , Iaroslav Gaponenko , Patrycja Paruch , Alexey. B. Kuzmenko

This paper establishes uniqueness results of inverse elastic scattering problem with phaseless near-field data in periodic structures in $\mathbb{R}^2$ and periodic/biperiodic structures in $\mathbb{R}^3$. We use a superposition of two…

Analysis of PDEs · Mathematics 2025-11-10 Youzi He , Wei Wu , Hongyi Dang

Hybrid spectral-spatial representations are introduced to rapidly calculate periodic scalar and dyadic Green's functions of the Helmholtz equation for 2D and 3D configurations with a 1D (linear) periodicity. The presented schemes work…

Computational Physics · Physics 2015-05-13 Derek Van Orden , Vitaliy Lomakin

This paper proposes, for wave propagating in a globally perturbed half plane with a perfectly conducting step-like surface, a sharp Sommerfeld radiation condition (SRC) for the first time, an analytic formula of the far-field pattern, and a…

Numerical Analysis · Mathematics 2020-05-13 Wangtao Lu

The nonequilibrium photon Green function for a bounded medium surrounded by vacuum is analyzed on the basis of the Dyson equation. As its components, the field-field fluctuations as well as the spectral function split up into parts related…

Optics · Physics 2008-10-29 K. Henneberger

The single particle Green's function provides valuable information on the momentum and energy-resolved spectral properties for a strongly correlated system. In large-scale numerical calculations using quantum Monte Carlo (QMC), dynamical…

Strongly Correlated Electrons · Physics 2024-10-01 Maksymilian Kliczkowski , Lauren Keyes , Sayantan Roy , Thereza Paiva , Mohit Randeria , Nandini Trivedi , Maciej M. Maska