Quantum effects in piezoelectric semiconductor plasmas : Solitons and transmission feasibility

Abstract

A study of the coupling between lattice ion vibrations and electron waves in a piezoelectric semiconductor quantum plasma is presented. The nonlinearities have been analyzed, and solitons have been studied. The theory is built using the quantum hydrodynamic (QHD) model, incorporating the effects of Fermi pressure, quantum Bohm potential, and exchange-correlation potentials. The dispersion relation for the coupling is established. A set of nonlinear evolution equations has been derived using the two-time scale theory, and a soliton solution for the coupled nonlinear evolution equations is obtained using the modified quantum Zakharov equations. The solitons are found to have a cusp profile. It is also found that the solitons' field amplitude increases significantly with particle density and coupling strength in piezoelectric semiconductor quantum plasmas.