Non-Conventional Anderson Localization in Bilayered Structures with   Metamaterials
  We have developed an approach allowing us to resolve the problem of non-conventional Anderson localization emerging in bilayered periodic-on-average structures with alternating layers of right-handed and left-handed materials. Recently, it was numerically discovered that in such structures with weak fluctuations of refraction indices, the localization length $L_{loc}$ can be enormously large for small wave frequencies $\omega$. Within the fourth order of perturbation theory in disorder, $\sigma^2 \ll 1$, we derive the expression for $L_{loc}$ valid for any $\omega$. In the limit $\omega \rightarrow 0$ one gets a quite specific dependence, $L^{-1}_{loc} \propto \sigma ^4 \omega^8$. Our approach allows one to establish the conditions under which this effect can be observed. 
E. J. Torres-Herrera, F. M. Izrailev, N. M. Makarov
cond-mat.dis-nn physics.optics