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1 Materials Science Poland

1 2008

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Electronic miniband formation in a two-dimensional semiconductor superlattice

Kłos J. W., Krawczyk M

Materials Science Poland

2008

Vol. 26, No. 4

965--970

We investigate a system of periodically arranged uniform rods, regarded as a two -dimensional superlattice. The assumed arrangement of rods within a supercell allows to express the two-dimensional effective potential as a sum of two terms depending on either x or y coordinate only. The structure consist of two square lattices of square rods embedded in the matrix material. Rods in one lattice act as potential barriers for electrons, and those in the other as potential wells. The separation of the effective potential is shown not to imply Hamiltonian separation in the envelope function approximation. The energy spectra of the conduction band are computed for the numerical solution as well as for the analytical one, the latter wrongly assuming the separation of the Hamiltonian. The band structures computed in the two cases differ in band position and width.