  Both longitudinal and anomalous Hall conductivity are computed in the model
of two-dimensional Dirac fermions with a mass in the presence of arbitrary
correlated weak disorder. The anomalous Hall conductivity is shown to be highly
sensitive to the correlation properties of the random potential, such as the
correlation length, while it remains independent of the integral disorder
strength. This property extends beyond the Dirac model making the anomalous
Hall effect an interesting tool to probe disorder correlations.
