Spurious solutions and boundary conditions in k center dot p theory

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

Abstract

It is well known that the origin of one type of spurious solutions in multiband k(.)p theory is the failure to restrict the Fourier coefficients of the envelope functions to the first Brillouin zone. Often, the set of differential equations obtained is supplemented with interfacial boundary conditions derived by integrating the differential equations across the interface; however, this leads to a mathematically ill-posed problem as the envelope functions cannot simultaneously fulfill these boundary conditions and the requirement that the Fourier coefficients be restricted to the first Brillouin zone. We show, by way of an example, the origin of these spurious solutions and how to remove them.

Details

Authors
  • Benny Lassen
  • M Willatzen
  • R. N. V. Melnik
  • L.C. Lew Yan Voon
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Physical Sciences

Keywords

  • spurious solutions, exact envelope function theory, k center dot p, interfacial boundary conditions
Original languageEnglish
Title of host publicationPhysics of Semiconductors, Pts A and B
PublisherAmerican Institute of Physics (AIP)
Pages393-394
Volume893
Publication statusPublished - 2007
Publication categoryResearch
Peer-reviewedYes
Event28th International Conference on the Physics of Semiconductors (ICPS-28) - Vienna, Austria
Duration: 2006 Jul 242006 Jul 28

Publication series

Name
Volume893
ISSN (Print)1551-7616
ISSN (Electronic)0094-243X

Conference

Conference28th International Conference on the Physics of Semiconductors (ICPS-28)
CountryAustria
CityVienna
Period2006/07/242006/07/28

Bibliographic note

The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)