Abstract The stability of transverse modes in a two-stream quantum magneto-plasma is re-examined by incorporating the effects of quantized magnetic Fermi pressure. Within the framework of Landau quantization, the linear propagation of electromagnetic (EM) waves is analyzed, revealing that the growth rate of the instability is significantly suppressed as a function of the quantizing magnetic field parameter η. This decrease is primarily attributed to a reduction in the relative streaming velocities of the two counter-propagating beams. For a quantum magneto-plasma with a fixed density, the cut-off wave number, beyond which the mode stabilizes, is found to be dependent on η, mainly through its influence on the magnetic Fermi velocity. Furthermore, a novel nonlinear theory is proposed to explain the generation of magnetic fields via the ponderomotive force. This force arises due to the nonlinear propagation of high-amplitude EM waves within the plasma under consideration. In a fixed-density two-stream quantum plasma, the effective quantum frequency ω^∗ varies as a function of η, allowing it to compete with the mode frequency, ultimately leading to the amplification of the induced magnetic field. These findings provide valuable insights into the influence of strong magnetic fields on the stability of transverse wave propagation. Additionally, the results may enhance our understanding and control of magnetic field dynamics in solid-density plasmas, laser-driven systems, and astrophysical environments, particularly those associated with intense X-ray emissions, such as pulsar surfaces.
Rozina et al. (Tue,) studied this question.