Effect of Spin Polarization on Lattice Vibrations and Electron Wave Interactions in Piezoelectric Semiconductor Quantum Plasma

Abstract: The effect 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 vibrationselectron wave interactions, and the resulting amplification of acoustic waves in spin polarised piezoelectric semiconductor quantum plasma has been studied. 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 reveals that quantum effects, including Fermi pressure and quantum Bohm potential, reduce wave frequency while spin polarization increases it. Acoustic gain rises significantly with frequency in the presence of quantum effects. Spin polarization also contributes to a slight increase in acoustic wave amplification.