  We consider a random family of Dirac operators on $N$ parallel real lines,
modelling for example a graphene nanoribbon. We establish a localization
criterion involving properties on the group generated by transfer matrices. In
particular, we consider not only the case where this group is the symplectic
group but also a strict subgroup of it. We establish under quite general
hypotheses that the sum of the Lyapunov exponents and the integrated density of
states are H\"older continuous. Moreover, for a set of concrete cases where the
potentials are on Pauli matrices, we compute the transfer matrices and prove
either localization or delocalization, depending on the potential and on the
parity of $N$.
