Cylindrical symmetry and spurious solutions in eight band k·p theory

B Lassen, D Barettin, Morten Willatzen

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

Spurious solutions in eight band k·p theory for low-dimensional semiconductor heterostructures is a well-known problem. In this paper we study two approaches for the removal of spurious solutions, the plane wave cutoff approach [1] and the approach suggested by Foreman [2] where the Kane parameter is changed. We show that in order to use the plane wave cutoff approach for a cylindrical symmetric system Bessel functions has to be used as the expansion basis in the radial direction. Furthermore we compare the two approaches for a InAs/GaAs conical quantum dot.
Original languageEnglish
Title of host publicationPhysics of Semiconductors
Publication date2010
Pages287-288
ISBN (Print)978-0-7354-0736-7
Publication statusPublished - 2010
Externally publishedYes
Event29th International Conference on the Physics of Semiconductors - Rio de Janeiro, Brazil
Duration: 27 Jul 20081 Aug 2008

Conference

Conference29th International Conference on the Physics of Semiconductors
CountryBrazil
CityRio de Janeiro
Period27/07/200801/08/2008
SeriesA I P Conference Proceedings Series
Volume1199
ISSN0094-243X

Keywords

  • Eight band k . p
  • Spurious solutions
  • Cylindrical symmetry

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