Advanced

Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures

Pistol, Mats-Erik LU (2002) Proceedings of 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science (NANO-7/ECOSS-21) In 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science
Abstract
We have found the equations that determine the self-adjoint extensions, and thus the boundary conditions, of the differential operator used in the multi-band k·p-theory, when the coefficients in the Kane-matrix are piecewise constant. Both the one-dimensional and the three-dimensional case have been investigated. Numerical simulations of the energy eigenvalues in a quantum well has been performed, using different boundary conditions, illustrating the energy shift expected
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
quantum well, differential operator, energy eigenvalues, numerical simulations, Kane matrix, multiband k·p theory, self adjoint extensions, semiconductor heterostructures, boundary conditions, function approximation
in
7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science
pages
2 pages
publisher
Lund University
conference name
Proceedings of 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science (NANO-7/ECOSS-21)
external identifiers
  • scopus:0036302368
language
English
LU publication?
yes
id
770f6f96-bbb0-40cb-ba6c-ec6b9534daad (old id 611509)
date added to LUP
2007-11-28 14:08:06
date last changed
2017-01-01 08:02:10
@inproceedings{770f6f96-bbb0-40cb-ba6c-ec6b9534daad,
  abstract     = {We have found the equations that determine the self-adjoint extensions, and thus the boundary conditions, of the differential operator used in the multi-band k·p-theory, when the coefficients in the Kane-matrix are piecewise constant. Both the one-dimensional and the three-dimensional case have been investigated. Numerical simulations of the energy eigenvalues in a quantum well has been performed, using different boundary conditions, illustrating the energy shift expected},
  author       = {Pistol, Mats-Erik},
  booktitle    = {7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science},
  keyword      = {quantum well,differential operator,energy eigenvalues,numerical simulations,Kane matrix,multiband k·p theory,self adjoint extensions,semiconductor heterostructures,boundary conditions,function approximation},
  language     = {eng},
  pages        = {2},
  publisher    = {Lund University},
  title        = {Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures},
  year         = {2002},
}