First quantum correction to Dirac entropy for rotating U(1) circle times U(1) dilaton black hole

The first quantum correction to rotating U(1) circle times U(1) dilaton black hole entropy is calculated by using the improved brick-wall model. We propose not to consider the superradiant mode for the reason that fermion fields do not display superradiance. We found that the nonsuperradiant mode does contribute exactly the first quantum correction to the non-extreme black hole entropy. Moreover, our cut-off Newman-Penrose epsilon which does not require an angular cut-off is independent of angle. As for the extreme black hole, we found that its entropy is zero.