Wave transport in one-dimensional disordered systems with finite-width potential steps

Details Wave transport in one-dimensional disordered systems with finite-width potential steps Wave transport in one-dimensional disordered systems with finite-width potential steps

2011-07-25

arxiv.org/abs/1107.4991v5

Physics

Condensed Matter

Disordered Systems and Neural Networks

A6 pages. 5 figures. Accepted in EPL

Scientific paper

An amazingly simple model of correlated disorder is a one-dimensional chain of n potential steps with a fixed width lc and random heights. A theoretical analysis of the average transmission coefficient and Landauer resistance as functions of n and klc predicts two distinct regimes of behavior, one marked by extreme sensitivity and the other associated with exponential behavior of the resistance. The sensitivity arises in n and klc for klc approximately pi, where the system is nearly transparent. Numerical simulations match the predictions well, and they suggest a strong motivation for experimental study.

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