  In the previous paper, we studied the random-mass Dirac fermion in one
dimension by using the transfer-matrix methods. We furthermore employed the
imaginary vector potential methods for calculating the localization lengths.
Especially we investigated effects of the nonlocal but short-range correlations
of the random mass. In this paper, we shall study effects of the long-range
correlations of the random mass especially on the delocalization transition and
singular behaviours at the band center. We calculate localization lengths and
density of states for various nonlocally correlated random mass. We show that
there occurs a "phase transition" as the correlation length of the random Dirac
mass is varied. The Thouless formula, which relates the density of states and
the localization lengths, plays an important role in our investigation.
