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We demonstrate the presence of energy dependent fluctuations in thelocalization length, which depend on the disorder distribution. Thesefluctuations lead to Ensemble Averaged Conductance Fluctuations (EACF) and areenhanced by large disorder. For the binary distribution the fluctuations arestrongly enhanced in comparison to the Gaussian and uniform distributions.These results have important implications on ensemble averaged quantities, suchas the transmission through quantum wires, where fluctuations can subsist tovery high temperatures. For the non-fluctuating part of the localization lengthin one dimension we obtained an improved analytical expression valid for alldisorder strengths by averaging the probability density.

Ensemble Averaged Conductance Fluctuations in Anderson Localized Systems