  We study the band-centre anomaly in the one-dimensional Anderson model with
weak correlated disorder. Our analysis is based on the Hamiltonian map
approach; the correspondence between the discrete model and its continuous
counterpart is discussed in detail. We obtain analytical expressions of the
localisation length and of the invariant measure of the phase variable, valid
for energies in a neighbourhood of the band centre. By applying these general
results to specific forms of correlated disorder, we show how correlations can
enhance or suppress the anomaly at the band centre.
