  Scaling of the anomalous Hall conductivity to longitudinal conductivity, has
been observed in the dirty regime of two-dimensional weak and strong
localization regions in ultrathin, polycrystalline, chemically disordered,
ferromagnetic FePt films. The relationship between electron transport and
temperature reveals a quantitatively insignificant Coulomb interaction in these
films while the temperature dependent anomalous Hall conductivity experiences
quantum correction from electron localization. At the onset of this correction,
the low-temperature anomalous Hall resistivity begins to be saturated when the
thickness of the FePt film is reduced, and the corresponding Hall conductivity
scaling exponent becomes 2, which is above the recent unified theory of 1.6
(\sigma_AH \propto \sigma^1.6_xx). Our results strongly suggest that the
correction of the electron localization modulates the scaling exponent of the
anomalous Hall effect.
