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We develop an analytical scattering formalism for computing the transmittance through periodic defect lines within the tight-binding model of graphene. We first illustrate the method with a relatively simple case, the pentagon-only defect…

Mesoscale and Nanoscale Physics · Physics 2013-07-17 J. N. B. Rodrigues , N. M. R. Peres , J. M. B. Lopes dos Santos

Exact Green's functions related to Dirac particle submitted to the combination of Aharonov-Bohm and Coulomb fields in (2+1) coordinate space are analytically calculated via path integral formalism in both global and local representations.…

High Energy Physics - Theory · Physics 2022-09-09 Nadira Boudiaf , Abdeldjalil Merdaci , Lyazid Chetouani

The theory of heterodyne/stroboscopic detection of nuclear resonance scattering is developed, starting from the total scattering matrix as a product of the matrix of the reference sample and the sample under study. This general approach…

Materials Science · Physics 2015-03-04 L. Deák , L. Bottyán , R. Callens , R. Coussement , M. Major , S. Nasu , I. Serdons , H. Spiering , Y. Yoda

This paper concerns the numerical simulation of time domain inverse acoustic scattering problems with a point-like scatterer, multiple point-like scatterers or normal size scatterers. Based on the Green's function and the application of the…

Numerical Analysis · Mathematics 2024-06-07 Qingqing Yu , Bo Chen , Jiaru Wang , Yao Sun

In this letter, we investigate the coherent tunneling process of photons between a defected circular resonator and a waveguide based on the recently developed discrete coordinate scattering methods (L. Zhou et al., Phys. Rev. Lett. 101,…

Optics · Physics 2008-10-30 Jun Yang , H. Dong , C. P. Sun

We discuss recent \emph{ab initio} calculations based on self-consistent Green's function theory. It is found that a simple extension of the formalism to account for two-nucleon scattering outside the model space allows to calculate…

Nuclear Theory · Physics 2018-03-14 Carlo Barbieri , Francesco Raimondi , Christopher McIlroy

Interaction of waves with point and line defects are usually described by $\delta$-function potentials supported on points or lines. In two dimensions, the scattering problem for a finite collection of point defects or parallel line defects…

Quantum Physics · Physics 2022-01-14 Hai V. Bui , Farhang Loran , Ali Mostafazadeh

Phonons are quantized vibrations of a crystal lattice that play a crucial role in understanding many properties of solids. Density functional theory (DFT) provides a state-of-the-art computational approach to lattice vibrations from…

We generalize the family of approximate momentum average methods to formulate a numerically exact, convergent hierarchy of equations whose solution provides an efficient algorithm to compute the Green's function of a particle dressed by…

Strongly Correlated Electrons · Physics 2021-08-05 Matthew R. Carbone , David R. Reichman , John Sous

A complex approach phonon quantum discrete model (PQDM) was developed to describe dynamics, kinetics and statistics of phonons in carbon nanostructures with zero-chirality of both zig-zag and armchair geometry. The model allows include into…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. Ya. Glushko , V. N. Evteev , M. V. Moiseenko , N. A. Slusarenko , A. A. Zakhidov

The Complex Kohn variational method for electron-polyatomic molecule scattering is formulated using an overset grid representation of the scattering wave function. The overset grid consists of a central grid and multiple dense,…

Chemical Physics · Physics 2017-12-06 Loren Greenman , Robert R. Lucchese , C. William McCurdy

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

In this paper, exact solutions to the problem of acoustic scattering by elastic spherical symmetric scatterers are developed. The scatterer may consist of an arbitrary number of fluid and solid layers, and scattering with single Neumann…

Mathematical Physics · Physics 2022-04-21 Jon Vegard Venås , Trond Jenserud

We study the nonlinear elastic quantum electronic transport properties of nanoscopic devices using the Nonequilibrium Green's function (NEGF) method. The Green's function method allows us to expand the $I-V$ characteristics of a given…

Mesoscale and Nanoscale Physics · Physics 2009-07-14 Alexis R. Hernández , Caio H. Lewenkopf

Progress in the development of coupled atomistic-continuum methods for simulations of critical dynamic material behavior has been hampered by a spurious wave reflection problem at the atomistic-continuum interface. This problem is mainly…

Materials Science · Physics 2017-12-06 Xiang Chen , Adrian Diaz , Liming Xiong , David L. McDowell , Youping Chen

The electromagnetic Green's function is a crucial ingredient for the theoretical study of modern photonic quantum devices, but is often difficult or even impossible to calculate directly. We present a numerically efficient framework for…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Robert Meiners Fuchs , Juanjuan Ren , Stephen Hughes , Marten Richter

Emphasizing the contribution of Professor Roger A Cowley, FRS to the Theory of Raman Scattering from crystals, the development of the Theory of Raman cattering since 1928 has been briefly discussed. Some experimental studies of Strontium…

Materials Science · Physics 2007-05-23 Jyoti Dhar Sharma

In this work we present a three step procedure for generating a closed form expression of the Green's function on both closed and open finite quantum graphs with general self-adjoint matching conditions. We first generalize and simplify the…

Quantum Physics · Physics 2023-09-21 Tristan Lawrie , Sven Gnutzmann , Gregor Tanner

We investigate the scattering of long-wavelength flexural phonons against grain boundaries in graphene using molecular dynamics simulations. Three symmetric tilt grain boundaires are considered: one with a misorientation angle of…

Materials Science · Physics 2015-06-19 Edit E. Helgee , Andreas Isacsson

Inelastic phonon scattering in graphene field-effect transistors (FETs) is studied by numerically solving the Boltzmann transport equation in three dimensional real and phase spaces (x, kx, ky). A kink behavior due to ambipolar transport…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Jyotsna Chauhan , Jing Guo
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