Influence of magnetic field on longitudinal electro-kinetic modes in a magnetized GaN semiconductor embedded with nano sized ion colloids

In this paper, a comprehensive analytical study on propagation of longitudinal electro-kinetic (LEK) modes and novel properties introduced due to the presence of negatively charged nano-sized ion colloids (ICs) of implanted ions is carried out. By employing multi-fluid balance equations, a compact dispersion relation has been derived for the two cases: the phase velocity of the LEK mode is less than or more than the carrier thermal speed, which are termed as slow and fast LEK modes, respectively. The charged ICs not only interact with the plasma particles but also changes the balance of charge of later in the medium through sticking processes of carriers onto the former. The dispersion relation reveals that the plasma and the charged ICs present in the GaN crystal support four LEK modes. We have carried out numerical analysis for dispersion and growth characteristics as a function of magnetic field and compared them for wurtzite and zincblende structures of GaN. The present analysis establishes that the presence of ICs together with transverse magnetic field strongly modifies the existing modes and also gives rise to new novel modes.