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

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

2000-12-19

arxiv.org/abs/cond-mat/0012361v1

Physics

Condensed Matter

Materials Science

13 pages, 2 figures

Scientific paper

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.

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