  In this work we investigate the transport properties of non-relativistic
quantum particles on incommensurate multilayered structures with the
thicknesses $w_n$ of the layers following an extended Harper model given by
$w_n = w_0 |\cos(\pi a n^{\nu})|$. For the normal incidence case, which means
an one-dimensional system, we obtained that for a specific range of energy, it
is possible to see a metallic-insulator transition with the exponent $\nu$. A
metallic phase is supported for $\nu<1$. We also obtained that for the specific
value $\nu=1$ there is an alternation between metallic and insulator phases as
we change the disorder strength $w_0$. When we integrate out all incidence
angles, which means a two-dimensional system, the metallic-insulator transition
can be seen for much larger range of energy compared to the normal incidence
case.
