Superradiation of Dirac particles in KN black hole

In this article, we process the approximate wave function of the Dirac particle outside the horizon of the KN ds black hole to effective potential V, and then derive V (including real and imaginary parts). We know that fermions cannot produce superradiation, but we can prove that Dirac particles in the KN black hole background can have a special solution through a certain operation, forming a Cooper pair, thus producing superradiation.We deal with the real and imaginary parts separately. When V (real part or imaginary part) has a maximum value, there may be a potential barrier outside the field of view to have a chance to produce superradiation.