Resistance statistics in one-dimensional systems with correlated disorder

We address the general problem of computing de resistance fluctuations in one-dimensional Anderson models with spatially correlated disorder and discuss some examples of binary systems with Markovian correlations. As in the general case of uncorrelated disorder, we observe a growth of the relative resistance fluctuations [rho(N)(2)]/[rho(N)](2) with the system length N. The largest sample-to-sample fluctuations are found in certain energy regions of quasipure systems with very low concentrations of defects, whereas constitutional entropy seems to rule the behavior of typical-values of the resistance in different regions and no role appears to be played by the potential correlation length. We express the growth of relative fluctuations in terms of the entropy function characterizing different possible localization lengths of the wave function and observe convergence toward a universal lognormal distribution in the presence of an extended state.