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We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between the guiding layers of high index of refraction and the host…

Analysis of PDEs · Mathematics 2018-12-05 Liliana Borcea , Josselin Garnier

We propose a framework to explore the internal charge distribution of mesoscopic quasiparticles by inelastic x-ray scattering, while also accounting for the conventional scattering from electrons. Specifically, we investigate a new…

Mesoscale and Nanoscale Physics · Physics 2026-03-23 Joris Sturm , Andrei Benediktovitch , Nina Rohringer , Andreas Knorr

Two-dimensional (2D) materials, composed of single atomic layers, have attracted vast research interest since the breakthrough discovery of graphene. One major benefit of such systems is the simple ability to tune the chemical potential by…

Superconductivity · Physics 2020-10-01 Gopi Nath Daptary , Eyal Walach , Efrat Shimshoni , Aviad Frydman

In this paper, we use a straightforward numerical method to solve scattering models in one-dimensional lattices based on a tight-binding band structure. We do this by using the wave packet approach to scattering, which presents a more…

Physics Education · Physics 2022-07-06 M. Staelens , F. Marsiglio

Scattering of waves due to a vertical array of equally-spaced cracks on a square lattice is studied. The convenience of Floquet periodicity reduces the study to that of scattering of specific wave-mode from single crack in a waveguide. The…

Classical Physics · Physics 2023-12-21 Gaurav Maurya , Basant Lal Sharma

Detecting the carrier scattering mechanisms in a materials system is important for transport related science and engineering. The approaches of fast laser process and electrical conductivity matching were used in previous literature, which…

Materials Science · Physics 2014-10-21 Shuang Tang , Mildred S. Dresselhaus

Transport properties of massive Dirac particles are investigated through an oscillating barrier. The Floquet quasienergies related to the time-dependent potential appear both in transmission and reflection as sidebands around the incoming…

Mesoscale and Nanoscale Physics · Physics 2015-03-04 Lóránt Zs. Szabó , Mihály G. Benedict , Attila Czirják , Péter Földi

At a normal-metal/superconductor interface, an incident electron from the normal-metal (N) side can be normally reflected as an electron or Andreev reflected as a hole. We show that pronounced lateral shifts along the interface between the…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Ying Liu , Zhi-Ming Yu , Hua Jiang , Shengyuan A. Yang

In the vortex state of a d-wave superconductor, massless Dirac quasiparticles are scattered from magnetic vortices via a combination of two basic mechanisms: effective potential scattering due to the superflow swirling about the vortices…

Superconductivity · Physics 2011-08-29 M. Kulkarni , Sriram Ganeshan , A. C. Durst

We study the Dirac equation for quasiparticles in gapped graphene with two oppositely charged impurities by using the technique of linear combination of atomic orbitals and variational Galerkin--Kantorovich method. We show that for…

Strongly Correlated Electrons · Physics 2015-09-03 E. V. Gorbar , V. P. Gusynin , O. O. Sobol

In this paper, a two-dimensional Dirichlet-to-Neumann (DtN) finite element method (FEM) is developed to analyze the scattering of SH guided waves due to an interface delamination in a bi-material plate. During the finite element analysis,…

Numerical Analysis · Mathematics 2024-07-23 Chen Yang , Ruigang Qin , Sohichi Hirose , Bin Wang , Zhenghua Qian

We study above-barrier scattering of Dirac electrons by a smooth electrostatic potential combined with a coordinate-dependent mass in graphene. We assume that the potential and mass are sufficiently smooth, so that we can define a small…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 K. J. A. Reijnders , D. S. Minenkov , M. I. Katsnelson , S. Yu. Dobrokhotov

Scalar wave propagation across a semi-infinite step or step-like discontinuity on any one boundary of the square lattice waveguides is considered within nearest-neighbour interaction approximation. An application of the Wiener-Hopf method…

Classical Physics · Physics 2023-12-21 Basant Lal Sharma

Quantum computers are ideally set up to solve linear systems which are of a form similar to the Schrodinger/Dirac equation of quantum mechanics. In the framework of linear response theory, the propagation and scattering of electromagnetic…

The time evolution of a wave packet is a tool to detect topological phase transitions in two-dimensional Dirac materials, such as graphene and silicene. Here we extend the analysis to HgTe/CdTe quantum wells and study the evolution of their…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 A. Mayorgas , M. Calixto , N. A. Cordero , E. Romera , O. Castaños

We calculate the differential, total, and transport cross-sections for scattering of two-dimensional massless Dirac electrons by a circular barrier. For scatterer of a small radius, the cross-sections are dominated by quantum effects such…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 Jhih-Sheng Wu , Michael M. Fogler

We present a method based on acoustic wavenumber imaging algorithms to quantify the spectral content of strongly nonlinear energy scattering of a propagating wavefront across the discrete-continuum interface of a 2D hybrid system composed…

Statistical Mechanics · Physics 2025-09-22 Joshua R. Tempelman , Chongan Wang , Alexander F. Vakakis

Attosecond dynamics of electron transmission through atomically-thin crystalline films is studied with an {\em ab initio} scattering theory. The temporal character of the electron propagation through graphene multilayers is traced to the…

Materials Science · Physics 2025-06-10 E. E. Krasovskii , R. O. Kuzian

In the ultra-thin regime, Bi2Te3 films feature two surfaces (with each surface being a two-dimensional Dirac-fermion system) with complicated spin textures and a tunneling term between them. We find in this regime that the quasiparticle…

Mesoscale and Nanoscale Physics · Physics 2024-05-02 Haiming Huang , Mu Chen , Dezhi Song , Jun Zhang , Ye-ping Jiang

We study systematically the scattering processes and the conductance spectra in nodal-line semimetalsuperconductor junctions using the extended Blonder-Tinkham-Klapwijk theory. The coexistence of peculiar quadruple reflections are found,…

Superconductivity · Physics 2020-03-11 Qiang Cheng , Zhe Hou , Qing-Feng Sun