Electron–Phonon Coupling Effects on the Karpman–Washimi Ponderomotive Magnetization in a Semiconductor Plasma

Abstract

In recent years, there has been a considerable interest in the physical properties of semiconductor quantum plasmas since the ion implantation technique has been widely used as an effective nano-fabrication tool for manufacture of various semiconductor components. In quantum plasmas, the linear and nonlinear dispersion properties of plasma waves including the Bohm potential term due to the collective behavior have been considerably investigated by using the quantum hydrodynamic model. Very recently, the lattice electron– phonon effects are explored in a homogeneous piezoelectric semiconductor quantum plasma and is also found that the electron–phonon coupling generates the far-field dynamically oscillatory wake field. In various plasmas, the wave propagation and trapping have been extensively explored by the ponderomotive interactions between the electromagnetic field and plasma since the ponderomotive force provides the spectral characteristics of the plasma. It has been also shown that the ponderomotive interaction in plasmas would be obtained as the space–time derivatives of the stress tensor. However, the physical characteristics of the Karpman– Washimi ponderomotive magnetization caused by the timevariation of the intensity of the electromagnetic field in a homogeneous piezoelectric semiconductor quantum plasma including the influence of the electron–phonon interactions have not been investigated as yet. Hence, in this paper we have investigated the electron–phonon interaction effects on the non-stationary Karpman–Washimi ponderomotive magnetization in a semiconductor quantum plasma. Hence, the induced electron cyclotron motion due to the Karpman– Washimi ponderomotive force of the electromagnetic wave has been investigated as a function of the electron plasma frequency, quantum angular frequency, speed of the acoustic phonon, and electron–phonon coupling coefficient. From the Karpman–Washimi procedure, the total Karpman–Washimi ponderomotive force FKW of the electromagnetic field ~ Eðr; tÞ 1⁄21⁄4 ðEðr; tÞeiðk r !tÞ þ E ðr; tÞe iðk r !tÞÞ=2 in unmagnetized plasmas would be expressed as follows: