Quantum and spin driven effects on acoustic wave dynamics in piezoelectric semiconductor plasma

The influence of spin polarization, induced by the difference in concentration of spin-up and spin-down electrons produced under the influence of a magnetic field, on lattice ion vibrations-electron wave interactions, and the resulting amplification of acoustic waves, has been studied in spin polarised piezoelectric semiconductor quantum plasma. The dielectric permittivity of the high-density plasma medium has been evaluated through which the dispersion relation has been set up. The gain coefficient of acoustic waves has been obtained using the modified separate spin evolution quantum hydrodynamic (SSE-QHD) model for piezoelectric semiconductor plasma. The study shows that quantum effects, such as Fermi pressure and the quantum Bohm potential, lead to a reduction in wave frequency. In contrast, spin polarization results in an increase in wave frequency. Additionally, the presence of quantum effects significantly enhances acoustic gain as frequency rises. Spin polarization also contributes to a slight increase in acoustic wave amplification.