  The role played by a kinetic barrier originated by out-of-plane step edge
diffusion, introduced in [Leal \textit{et al.},
\href{https://doi.org/10.1088/0953-8984/23/29/292201}{J. Phys. Condens. Matter
\textbf{23}, 292201 (2011)}], is investigated in the Wolf-Villain and Das
Sarma-Tamborenea models with short range diffusion. Using large-scale
simulations, we observed that this barrier is sufficient to produce growth
instability, forming quasiregular mounds in one and two dimensions. The
characteristic surface length saturates quickly indicating a uncorrelated
growth of the 3d structures, which is also confirmed by a growth exponent
$\beta=1/2$. The out-of-plane particle current provides a large reduction of
the downward flux enhancing, consequently, the net upward diffusion and
formation of 3d self-arranged structures.
