Effect of spin quantum force on lower and upper hybrid waves’ instability under the influence of an electron beam in a magnetized semiconductor plasma

The influence of the spin quantum forces along with other quantum parameters, including the Bohmian force, spin quantum force, exchange–correlation potential, and quantum statistical pressure of the quantized degenerate species were considered to examine the excitation of comparatively low frequency electrostatic lower hybrid waves (LHWs) and upper hybrid waves (UHWs) driven by an electron beam in a magnetized semiconductor plasma. The investigation is done using the quantum hydrodynamic framework. The influence of the spin quantum force, electron beam temperature, beam streaming speed, and propagation angle on the growth and phase speed of LHWs and UHWs have been analysed. Each of the parameters affects the instability, the growth rate, and the resonant values. One of the notable outcomes is the effect of temperature on the instability. The resonance value of the maximal growth rate is affected due to the different parameters. The inclusion of the spin quantum force shifts the growth rate in both LHWs and UHWs.

Graphical abstract