Effects of core size and shell thickness on phonon modes in GaAs/AlAs shell quantum dots

Phonon modes in spherical GaAs quantum dots (QDs) embedded in spherical AlA s shells with up to 11 855 atoms (about 8.0 nm in diameter) are calculated by using a valence force field model. All the vibration frequencies and vib ration amplitudes of these shell QDs are calculated directly from the latti ce dynamic matrix by employing the projection operators of the irreducible representations of the group theory. The effects of the size of GaAs cores and the thickness of AlAs shells on the phonon modes are investigated. The quantum confinement effects of both the vibration frequencies and vibration strengths are investigated. The microscopic interface modes, which can onl y be revealed by the microscopic model, are identified and discussed. (C) 2 001 American Institute of Physics.