Application of coordinate transformation and finite differences method in numerical modeling of quantum dash band structure
type: Item
instance of: scholarly article
title: Application of coordinate transformation and finite differences method in numerical modeling of quantum dash band structure
zbMATH Open document ID: 1242.82044
author: B. M. Stupovski
author: J. V. Crnjanski
author: D. M. Gvozdić
published in: Computer Physics Communications
publication date: 2011-05-31T00:00:00Z
review text: The authors propose an efficient method for the band structure calculation of semiconductor quantum dashes. The method combines a coordinate transformation (mapping) based on an analytical function and the finite differences method (FDM) for solving the single-band Schrödinger equation. They explore suitable coordinate transformations and propose those, which might simultaneously provide a satisfactory fit of the quantum dash hetero-interface and creation of an appropriate computational domain which encloses the quantum dash structure. After a mapping of the quantum dash and the rest of computational domain, the Schrödinger equation is solved by the FDM in the mapped space. For the proposed coordinate transformations, they investigate and analyze applicability, robustness and convergence of the method by varying the FDM grid density and size of the computational domain.
reviewed by: Maria C. Mariani
Mathematics Subject Classification ID: 82D37
Mathematics Subject Classification ID: 82-08
Mathematics Subject Classification ID: 35Q82
zbMATH DE Number: 5901265
zbMATH Keywords: quantum dashes
zbMATH Keywords: electronic band structure
zbMATH Keywords: coordinate transformation
zbMATH Keywords: finite difference
MaRDI profile type: Publication
full work available at URL: j.cpc.2010.09.014
OpenAlex ID: W1968240314
cites work: Numerical simulation of three dimensional pyramid quantum dot
cites work: Numerical schemes for three-dimensional irregular shape quantum dots over curvilinear coordinate systems
DOI: 10.1016/J.CPC.2010.09.014
description: scientific article; zbMATH DE number 5901265