Electronic states and transport properties in the Kronig-Penney model with correlated compositional and structural disorder

Abstract

We study the structure of the electronic states and the transport properties of a Kronig-Penney model with weak compositional and structural disorder. Using a perturbative approach we obtain an analytical expression for the localisation length which is valid for disorder with arbitrary correlations. We show how to generate disorder with self- and cross-correlations and we analyse both the known delocalisation effects of the long-range self-correlations and new effects produced by cross-correlations. We finally discuss how both kinds of correlations alter the transport properties in Kronig-Penney models of finite size.

23 pages, 5 figures

References in corpus (3)

• Enhancement of localization in one-dimensional random potentials with long-range correlations
• One-Dimensional Kronig-Penney Model with Positional Disorder: Theory versus Experiment
• Anomalous properties of the Kronig-Penney model with compositional and structural disorder

Cited by in corpus (6)

• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Transport through quasi-one-dimensional wires with correlated disorder
• Transmission in waveguides with compositional and structural disorder: experimental effects of disorder cross-correlations
• Localization properties of harmonic chains with correlated mass and spring disorder: Analytical approach
• Bunches of Random Cross-correlated Sequences
• Localisation and transport in bidimensional random models with separable Hamiltonians