Electrostatic wave propagation and self-streaming effect in an electron-hole plasma

Abstract

Electrostatic nonlinear waves which transfer energy through the semiconductor are investi-
gated. A quantum hydrodynamic plasma system composed of self-streaming electrons and holes
is examined. The basic equations are reduced to one evolution equation called a modified nonlin-
ear Schr ̈odinger (mNLS) equation. The stability and instability regions are studied with respect
to the wavenumber and different plasma effects such as degenerate pressure, Bohm potential, and
collisions. The mNLS equation is solved analytically to obtain three kinds of nonlinear envelope
wave packet modes. It is found that there are different regions of stability and instability depend-
ing on various quantum effects. The electrons’ and holes’ self-streaming velocity is studied and
manipulated for the three types of nonlinear envelope waves ”dark soliton, bright soliton, and
rogue wave”. The dark envelope wave packet is generated in a stable region. When the electrons
and holes streaming velocities become faster, the wave amplitude becomes taller and the pulses
have higher frequency. The bright envelope wave packet exists in the unstable region. For low
streaming velocities, the rogue wave amplitude becomes shorter, however, when the streaming
velocities reach a critical value the amplitude increases suddenly six times. The self-heating could
be produced as the tunneling electrons and holes exchange their energy with the lattice, which
may decrease the lifetime of the semiconductors. The present results are helpful in realizing the
physical solution to the intrinsic heating problem in semiconductors.

Temperature-induced disruptive growth rate behavior due to streaming instability in semiconductor quantum plasma with nanoparticles

“…Different types of instabilities like modulational, parametric, and streaming have been studied extensively for a long time in the context of quantum plasma [20][21][22][23][24][25][26] in general. Recent studies have provided a thorough analysis of the many instabilities that might arise in semiconducting quantum plasma [27][28][29]. The theoretical prediction and experimental verification of streaming instability have been successfully carried out in the twentieth century in classical plasma systems [30,31].…”