Modified Debye screening potential in a magnetized quantum plasma

The effects of quantum mechanical influence and uniform static magnetic field on the Shukla–Nambu–Salimullah potential in an ultracold homogeneous electron–ion Fermi plasma have been examined in detail. It is noticed that the strong quantum effect arising through the Bohm potential and the ion polarization effect can give rise to a new oscillatory behavior of the screening potential beyond the shielding cloud which could explain a new type of possible robust ordered structure formation in the quantum magnetoplasma. However, the magnetic field enhances the Debye length perpendicular to the magnetic field in the weak quantum limit of the quantum plasma.