Abstract
The continuum dispersive hydrodynamic (HD) theory is employed to study the confinement of optical phonons in a spherical quantum dot. To satisfy both the HD mechanical and the electromagnetic (EM) boundary conditions, we include an interface polariton (IP) component in addition to the LO vibration. It is found that the IP component has remarkable effect on the phonon associated electrical potential, and consequently will influence the electron phonon coupling strength in quantum dots. We also show that the eigenmode with interface LO vibration does not exist in quantum dots, while it possibly exists in other low-dimensional systems. Other confinement features are discussed comparatively as well.
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