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Spurious solutions and boundary conditions in k center dot p theory

Lassen, Benny LU ; Willatzen, M ; Melnik, R. N. V. and Lew Yan Voon, L.C. (2007) 28th International Conference on the Physics of Semiconductors (ICPS-28) 893. p.393-394
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.
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author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
spurious solutions, exact envelope function theory, k center dot p, interfacial boundary conditions
host publication
Physics of Semiconductors, Pts A and B
volume
893
pages
393 - 394
publisher
American Institute of Physics (AIP)
conference name
28th International Conference on the Physics of Semiconductors (ICPS-28)
conference location
Vienna, Austria
conference dates
2006-07-24 - 2006-07-28
external identifiers
  • wos:000246281800191
  • scopus:74549141184
ISSN
0094-243X
1551-7616
DOI
10.1063/1.2729931
language
English
LU publication?
yes
additional info
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)
id
72165de9-2c45-42e0-b382-4a6b0fa43485 (old id 1409888)
date added to LUP
2016-04-01 11:46:59
date last changed
2025-01-28 19:55:09
@inproceedings{72165de9-2c45-42e0-b382-4a6b0fa43485,
  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.}},
  author       = {{Lassen, Benny and Willatzen, M and Melnik, R. N. V. and Lew Yan Voon, L.C.}},
  booktitle    = {{Physics of Semiconductors, Pts A and B}},
  issn         = {{0094-243X}},
  keywords     = {{spurious solutions; exact envelope function theory; k center dot p; interfacial boundary conditions}},
  language     = {{eng}},
  pages        = {{393--394}},
  publisher    = {{American Institute of Physics (AIP)}},
  title        = {{Spurious solutions and boundary conditions in k center dot p theory}},
  url          = {{http://dx.doi.org/10.1063/1.2729931}},
  doi          = {{10.1063/1.2729931}},
  volume       = {{893}},
  year         = {{2007}},
}