Abstract
Acoustic phonon spectra were calculated for different quantum dots for the free-standing case and for the case in which the quantum dot is embedded in a selection of different matrix materials including semiconductors, plastic, and water. The case of water as a matrix embedding a quantum dot is of special interest in biology where quantum dots are being used as biological tags. The acoustic phonon modes can be normalized in the free-standing case and the Hamiltonians for the deformation potential interactions derived. The results demonstrate that the matrix can have a large effect on the acoustic phonon spectrum and therefore it should be included when calculating the acoustic modes of the quantum-dot heterostructures. Simple analytic results are used to specify completely the lowest-order spherical breathing mode for free-standing quantum dots.
Published Version
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