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Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures: The multi-band case

Pistol, Mats-Erik LU (2002) In Journal of the Physical Society of Japan 71(5). p.1325-1331
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. A numerical calculation shows that the choice of boundary conditions affects the energy eigenvalues for a quantum well.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
boundary conditions, heterostructures, envelope function approximation
in
Journal of the Physical Society of Japan
volume
71
issue
5
pages
1325 - 1331
publisher
Physical Society of Japan
external identifiers
  • wos:000175659800023
  • scopus:0036302368
ISSN
1347-4073
DOI
10.1143/JPSJ.71.1325
language
English
LU publication?
yes
id
b0318273-30ac-4f9d-b055-ca58aa410cf6 (old id 337487)
date added to LUP
2007-11-09 07:41:04
date last changed
2017-01-01 05:09:59
@article{b0318273-30ac-4f9d-b055-ca58aa410cf6,
  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. A numerical calculation shows that the choice of boundary conditions affects the energy eigenvalues for a quantum well.},
  author       = {Pistol, Mats-Erik},
  issn         = {1347-4073},
  keyword      = {boundary conditions,heterostructures,envelope function approximation},
  language     = {eng},
  number       = {5},
  pages        = {1325--1331},
  publisher    = {Physical Society of Japan},
  series       = {Journal of the Physical Society of Japan},
  title        = {Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures: The multi-band case},
  url          = {http://dx.doi.org/10.1143/JPSJ.71.1325},
  volume       = {71},
  year         = {2002},
}