Screening of the Quantum Dot Förster Coupling at Small Distances

We study the near-field energy transfer rates between two finite size quantumdot disks, generalizing the result of Förster coupling between two pointdipoles. In particular, we derive analytical results for the envelope of theelectronic wavefunction for model potentials at the boundaries of quantum dotdisks and demonstrate how the Förster interaction is screened as the size ofthe dots becomes comparable to the dot-dot separation.