Abstract
The crystalline structure of the superlattice can be described by a suitably chosen supercell. From the known dynamical matrices of the constituent compounds, two large matrices are derived in the multi-dimensional space of the supercell using a similarity transformation. An appropriate combination of the elements of these two matrices results in the desired dynamical matrix for the supperlattice. A numerical example for a 4×4 GaAs-AlAs superlattice and a discussion concerning experimental results are also given.
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