Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures: the multi-band case
Materials Science
2007-05-23 v1
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.
Cite
@article{arxiv.cond-mat/0012361,
title = {Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures: the multi-band case},
author = {Mats-Erik Pistol},
journal= {arXiv preprint arXiv:cond-mat/0012361},
year = {2007}
}
Comments
13 pages, 2 figures