Abstract
In this paper, a derivation of the general dielectric tensor and the dispersion equation in a magnetized semiconductor plasma containing electrons and holes is carried out by employing the quantum hydrodynamic model, under non-relativistic and degenerate charged species assumptions. Dispersion curves are shown for different types of semiconductors. The effects of an external magnetic field and quantum terms, including electrons’ and holes’ quantum recoil effects, exchange-correlation potentials, and the degenerate pressures of species on dispersion relations are considered. When the angle of the wave vector with respect to the z axis is zero (), two well-separated Langmuir and acoustic modes are depicted and when , three branches are revealed. The growth rate of streaming instability is numerically presented for GaN. This study would be beneficial to understand the linear phenomena and instability behaviors of a magnetized quantum electron–hole semiconductor plasma.
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