Phonon-plasmon interactions in piezoelectric semiconductor quantum plasmas

The phonon-plasmon interactions and resulted acoustic wave amplification in a piezoelectric semiconductor quantum plasma has been studied in the quantum hydrodynamic regime. The important ingredients of this study are the inclusion of particle degeneracy pressure and Bohm potential (quantum diffraction) through a non-dimensional quantum parameter-H in the momentum transfer equation. Typical values of n-InSb are used to estimate the acoustic gain using the analytical expressions obtained. The study reveals that the quantum parameter-H reduces the gain coefficient in moderately doped semiconductor plasma. It is also found that quantum parameter-H has profound effects on the frequency at which maximum gain occurs. The attenuation to amplification crossover point (V0/Vs=1) is found to be same in both classical as well as quantum regime.