| Issue |
EPL
Volume 97, Number 5, March 2012
|
|
|---|---|---|
| Article Number | 54002 | |
| Number of page(s) | 6 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/97/54002 | |
| Published online | 02 March 2012 | |
Wave transport in one-dimensional disordered systems with finite-width potential steps
1
Instituto de Física, Universidad Nacional Autónoma de México - Apartado Postal 20-364, México, D.F., México
2
Departamento de Física de la Materia Condensada, Universidad Autónoma de Madrid - E-28049, Madrid, Spain, EU
3
Department of Physics and Astronomy, Washington State University - Pullman, WA 99164-2814, USA
Received:
16
August
2011
Accepted:
28
January
2012
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 δ=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 δ for δ≈π, where the system is nearly transparent. Numerical simulations match the predictions well, and they suggest a strong motivation for experimental study.
PACS: 42.25.Dd – Wave propagation in random media / 72.15.Rn – Localization effects (Anderson or weak localization) / 72.10.-d – Theory of electronic transport; scattering mechanisms
© EPLA, 2012
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