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arXiv · 1107.4991

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

Marlos Díaz·Pier A. Mello·M. Yépez·Steven Tomsovic
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Abstract

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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Marlos Díaz, Pier A. Mello, M. Yépez, Steven Tomsovic. 2012-02-01. Wave transport in one-dimensional disordered systems with finite-width potential steps. https://doi.org/10.1209/0295-5075%2F97%2F54002

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