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

Mats-Erik Pistol

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

Solid State Physics

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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

Original language	English
Title of host publication	7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science
Publisher	Lund University
Number of pages	2
Publication status	Published - 2002
Event	Proceedings of 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science (NANO-7/ECOSS-21) - Malmö, Sweden Duration: 2002 Jun 24 → 2002 Jun 28

Conference

Conference	Proceedings of 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science (NANO-7/ECOSS-21)
Country/Territory	Sweden
City	Malmö
Period	2002/06/24 → 2002/06/28

Subject classification (UKÄ)

Condensed Matter Physics (including Material Physics, Nano Physics)

Free keywords

quantum well
differential operator
energy eigenvalues
numerical simulations
Kane matrix
multiband k·p theory
self adjoint extensions
semiconductor heterostructures
boundary conditions
function approximation

Cite this

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title = "Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures",

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",

keywords = "quantum well, differential operator, energy eigenvalues, numerical simulations, Kane matrix, multiband k·p theory, self adjoint extensions, semiconductor heterostructures, boundary conditions, function approximation",

author = "Mats-Erik Pistol",

year = "2002",

language = "English",

booktitle = "7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science",

publisher = "Lund University",

note = "Proceedings of 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science (NANO-7/ECOSS-21) ; Conference date: 24-06-2002 Through 28-06-2002",

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Pistol, M-E 2002, Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures. in 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science. Lund University, Proceedings of 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science (NANO-7/ECOSS-21), Malmö, Sweden, 2002/06/24.

Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures. / Pistol, Mats-Erik.
7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science. Lund University, 2002.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures

AU - Pistol, Mats-Erik

PY - 2002

Y1 - 2002

N2 - 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

AB - 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

KW - quantum well

KW - differential operator

KW - energy eigenvalues

KW - numerical simulations

KW - Kane matrix

KW - multiband k·p theory

KW - self adjoint extensions

KW - semiconductor heterostructures

KW - boundary conditions

KW - function approximation

M3 - Paper in conference proceeding

BT - 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science

PB - Lund University

T2 - Proceedings of 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science (NANO-7/ECOSS-21)

Y2 - 24 June 2002 through 28 June 2002

ER -

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

Abstract

Conference

Subject classification (UKÄ)

Free keywords

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Cite this