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