Delocalization in Coupled Luttinger Liquids with Impurities

摘要

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