in the system of pseudospin-1/2 Dirac fermions in two-dimensional (2D) materials such as monolayer graphene, which is characterized by a linear dispersion relation around the Dirac point and described by a relativistic Dirac-type equation.[@kats; @neto; @rozh] Though our method can be generalized to the cases of massive pseudospin-1/2 and pseudospin-1 Dirac systems, we restrict our interest here to the massless pseudospin-1/2 case. Our result can also be applied to the localization of quantum particles in other systems, including cold atoms, trapped ions and semiconductors, and to that of classical electromagnetic waves in photonic systems analogous to graphene or other 2D materials.[@leek; @gar; @zawa; @deng]

The localization of aforementioned Dirac fermions in 2D in a one-dimensional (1D) random scalar or vector potential has been studied previously by several authors.[@fang; @zhu; @bli; @zhao] In all of these studies, they considered superlattice models with random arrays of rectangular potential barriers with random heights and widths and calculated the localization length or the transmittance using the transfer matrix method. One of the outstanding features of these studies is that massless Dirac particles incident normally on a 1D random scalar potential are always delocalized regardless of the potential strength and the particle energy, whereas those 