The phonon dispersion relations and the Fr\"ohlich interaction in polar double heterostructures are derived, by application of a modified image-charge ansatz. The interface phonons couple to form a symmetric and antisymmetric normal mode. The effective interaction is described by two-dimensional form factors, which represent a reasonable measure for the interaction strength. The theoretical results are in good agreement with recent magnetophonon experiments.
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R. Lassnig (1984) studied this question.
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