In this work we investigate the transport properties of non-relativistic
quantum particles on incommensurate multilayered structures with the
thicknesses wn of the layers following an extended Harper model given by
wn=w0∣cos(πanν)∣. 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 ν. A
metallic phase is supported for ν<1. We also obtained that for the specific
value ν=1 there is an alternation between metallic and insulator phases as
we change the disorder strength w0. 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