Screening potential due to the relativistic degenerate electron gas embedded in a strong magnetic field

This paper deals with the screening of a test charge by a degenerate relativistic magnetized electron gas at short distances from the impurity. It is shown that qualitative and quantitative differences arise in the strongly magnetized case: the screening becomes anisotropic and its value first oscillates and then increases over its zero magnetic field value with increasing magnetic field. Physically, this feature comes from the “freezing” of the electrons along the field lines in the presence of high magnetic fields.