Ensemble Averaged Conductance Fluctuations in Anderson Localized Systems

Details Ensemble Averaged Conductance Fluctuations in Anderson Localized Systems Ensemble Averaged Conductance Fluctuations in Anderson Localized Systems

2007-11-21

arxiv.org/abs/0711.3467v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages

Scientific paper

10.1103/PhysRevB.78.012204

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

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