Interface phonon modes in truncated conical self-assembled quantum dots

Within the framework of the standard dielectric continuum model (DCM), we have performed a theoretical study of interface (IF) phonon modes in III–V semiconductor self-assembled quantum dots (SAQDs). We model the SAQD as a truncated cone whose growth-axis is along the polar axis of the cone. Small and arbitrary polar angle approximations are used to resolve the angular partial differential equation within the variables separation scheme of the Laplace’s equation. Our theory allows to obtain new features in the IF modes behavior as the geometry parameters change (aspect ratio and angle of the conical dot). In fact, IF eigenfrequencies present an abrupt change at determined angles, related with the change of sign in the IF dispersion law.