  A transfer matrix approach is used to study the electronic transport in
graphene superlattices with long-range correlated barrier spacements. By
considering the low-energy electronic excitations as massless Dirac fermions,
we compute by transmission spectra of graphene superlattices with potential
barriers having spacements randomly distributed with long-range correlations
governed by a power-law spectral density $S(k)\propto 1/k^{\alpha}$. We show
that at large incidence angles, the correlations in the disorder distribution
do not play a significant role in the electronic transmission. However,
long-range correlations suppress the Anderson localization as normal incidence
is approached and a band of transmitting modes sets up reminiscent of Klein
tunneling.
