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Interface Phonons in Cone-Shaped GaAs/AlxGa1-xAs Quantum Dots with a Spherical Top Surface

By using the dielectric continuum model, the side interface optical (SIO) and top interface optical (TIO) phonon modes for a cone-shaped GaAs/AlxGa1-xAs quantum dot with a spherical top surface are obtained. It is found that, unlike the TIO mode which shows the same results as those for spherical GaAs/AlxGa1-xAs quantum dots, the SIO phonon frequencies depend on not only the integer l, but also the integer |m| as well as the polar angle α, and the frequency behavior of all the different modes is also strongly dependent on x. It is useful to study the couplings between electrons and phonons for those like this system.