Delocalization in coupled Luttinger liquids with impurities

We study effects of quenched disorder on coupled two-dimensional arrays of Luttinger liquids (LL’s) as a model for stripes in high-$T_c$ compounds. In the framework of a renormalization-group analysis, we find that weak inter-LL charge-density-wave couplings are always irrelevant as opposed to the pure system. By varying either disorder strength, intra- or inter-LL interactions, the system can undergo a delocalization transition between an insulator and a strongly anisotropic metallic state with LL-like transport. This state is characterized by short-ranged charge-density-wave order, the superconducting order is quasi-long-ranged along the stripes and short ranged in the transversal direction.