Non-linear dynamics of electron-hole plasma induced by an electron beam

This work treats the degrade of semiconductor lifetime during the pumping process. The criteria of nonlinear waves propagation that responsible for delivery the energy inside the semiconductor was determined. For this purpose, the quantum fluid model including the exchange-correlation potentials, the Bohm potential, and the degenerate pressure is employed. The reductive perturbation theory is used to reduce the basic set of quantum hydrodynamic fluid equations to Korteweg-de Vries, modified Korteweg-de Vries, and Gardner equations. When the wave carrier frequency is much smaller than the frequency of hole plasma, the non-linear rogue wave can exist and it is studied through the non-linear Schrödinger equation. This study predicts the propagation of different nonlinear waves like a soliton, double layer, and rogue waves depending on the plasma and electron beam parameters. Thus, a practicable physical solution is introduced to avoid the generation of such energetic non-linear waves during the pumping process. © 2019 IOP Publishing Ltd.