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A coupled quantum-classical model describing the transport of electrons confined in nanoscale semiconductor devices is considered. Using the subband decomposition approach allows to separate the transport directions from the confinement…

Analysis of PDEs · Mathematics 2012-07-02 Paola Pietra , Nicolas Vauchelet

The authors report on modeling of transport spectroscopy in split-gate controlled quantum constrictions. A mixed momentum-coordinate representation is employed to solve a set of time-dependent Lippmann-Schwinger equations with intricate…

Mesoscale and Nanoscale Physics · Physics 2013-06-07 Kristinn Torfason , Chi-Shung Tang , Vidar Gudmundsson

A phonon and charge transport simulation based on the Geant4 Monte Carlo toolkit is presented. The transport code is capable of propagating acoustic phonons, electrons and holes in cryogenic crystals. Anisotropic phonon propagation, oblique…

Instrumentation and Detectors · Physics 2014-03-21 D. Brandt , R. Agnese , P. Redl , K. Schneck , M. Asai , M. Kelsey , D. Faiez , E. Bagli , B. Cabrera , R. Partridge , T. Saab , B. Sadoulet

Charge transport in disordered two-dimensional (2D) systems showcases a myriad of unique phenomenologies that highlight different aspects of the underlying quantum dynamics. Electrons in such systems undergo a crossover from ballistic…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 H. P. Veiga , S. M. João , J. M. Alendouro Pinho , J. P. Santos Pires , J. M. Viana Parente Lopes

The coherent charge transport through an illuminated graphene ribbon is studied as function of electronic doping, frequency and strength of the electromagnetic driving, for monochromatic circularly polarized light. We focus on the DC…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 Jonathan Atteia , Jens. H. Bardarson , Jérome Cayssol

We theoretically analyze the contrast observed at the outcrop of a threading dislocation at the GaN(0001) surface in cathodoluminescence and electron-beam induced current maps. We consider exciton diffusion and recombination including…

Materials Science · Physics 2018-01-11 K. K. Sabelfeld , V. M. Kaganer , C. Pfüller , O. Brandt

Conditions required for the streaming effect and the optical-phonon transit-time resonance to take place in a compensated bulk GaN are analyzed in detail. Monte Carlo calculations of the high-frequency differential electron mobility are…

Optics · Physics 2013-02-08 G. I. Syngayivska , V. V. Korotyeyev

In this work we use tempered fractional advection-diffusion equations to model the dispersive transport in disordered materials. A numerical method is derived to approximate the solution of such differential models and we prove that it is…

Numerical Analysis · Mathematics 2018-11-06 Maria Luísa Morgado , Luís Filipe Morgado

We have mesured the carrier recombination dynamics in InGaN/GaN multiple quantum wells over an unprecedented range in intensity. We find that at times shorter than 30\,ns, they follow an exponential form, and a power law at times longer…

Materials Science · Physics 2010-08-11 Colin-N. Brosseau , Mathieu Perrin , Carlos Silva , Richard Leonelli

This paper presents the first analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains. The analysis is based on non-standard local trace and inverse inequalities…

Numerical Analysis · Mathematics 2023-07-06 Keegan L. A. Kirk , Tamas L. Horvath , Aycil Cesmelioglu , Sander Rhebergen

Two drift-diffusion models for the quantum transport of electrons in graphene, which account for the spin degree of freedom, are derived from a spinorial Wigner equation with relaxation-time or mass- and spin-conserving matrix collision…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Ansgar Jüngel

We consider charge transport in nanopores where the dielectric constant inside the nanopore is much greater than in the surrounding material, so that the flux of the electric fields due to the charges is almost entirely confined to the…

Mathematical Physics · Physics 2015-05-18 S. R. Holcombe , E. R. Smith

We consider a stationary drift-diffusion system with ionic charge carriers and external generation of electron and hole charge carriers. This system arises, among other applications, in the context of semiconductor modeling for perovskite…

Analysis of PDEs · Mathematics 2025-12-01 Dilara Abdel , Alain Blaustein , Claire Chainais-Hillairet , Maxime Herda , Julien Moatti

A model for ionic and electronic grain boundary transport through thin films, scales or membranes with columnar grain structure is introduced. The grain structure is idealized as a lattice of identical hexagonal cells - a honeycomb pattern.…

Materials Science · Physics 2017-05-05 M. P. Tautschnig , N. M. Harrison , M. W. Finnis

We investigate a recombination-drift-diffusion model coupled to Poisson's equation modelling the transport of charge within certain types of semiconductors. In more detail, we study a two-level system for electrons and holes endowed with an…

Analysis of PDEs · Mathematics 2021-11-24 Klemens Fellner , Michael Kniely

Quantum transport in disordered systems is studied using a polaron-based master equation. The polaron approach is capable of bridging the results from the coherent band-like transport regime governed by the Redfield equation to incoherent…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 Chee Kong Lee , Jeremy Moix , Jianshu Cao

Photoemission from a single self-organized GaAs/AlGaAs quantum dot (QD) is temporally resolved with picosecond time resolution. The emission spectra consisting of the multiexciton structures are observed to depend on the delay time and the…

Materials Science · Physics 2009-11-07 T. Kuroda , S. Sanguinetti , M. Gurioli , K. Watanabe , F. Minami , N. Koguchi

We analyze a space-time hybridizable discontinuous Galerkin method to solve the time-dependent advection-diffusion equation on deforming domains. We prove stability of the discretization in the advection-dominated regime by using weighted…

Numerical Analysis · Mathematics 2023-08-24 Yuan Wang , Sander Rhebergen

Uni-traveling-carrier photodiodes (UTC-PDs), which utilize only electrons as the active carriers, have become indispensable in high-speed optoelectronics due to their unique capabilities, such as high saturation power and broad bandwidth.…

Emitted photons stemming from the radiative recombination of electron-hole pairs carry chemical potential in radiative energy converters. This luminescent effect can substantially alter the local net photogeneration in near-field…

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