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

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.