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 correlatio ns. As in the general case of uncorrelated disorder, we observe a grow th of the relative resistance fluctuations [rho(N)(2)]/[rho(N)](2) wit h the system length N. The largest sample-to-sample fluctuations are f ound in certain energy regions of quasipure systems with very low conc entrations of defects, whereas constitutional entropy seems to rule th e behavior of typical-values of the resistance in different regions an d no role appears to be played by the potential correlation length. We express the growth of relative fluctuations in terms of the entropy f unction characterizing different possible localization lengths of the wave function and observe convergence toward a universal lognormal dis tribution in the presence of an extended state.