Eigenfunctions in one-dimensional disordered systems. II. Results and discussion

Abstract

A formalism previously developed within the framework of Anderson's model for disordered lattices produces convenient expressions for transport-related averages of the type ${〈G^{*}G〉}_{\mathrm{av}}$ ($G$ is the Green's function of the system). Those expressions involve a probability distribution function that satisfies an integral equation. The probability distribution function is obtained by solving numerically the integral equation for systems with "rectangular distribution" type of randomness, and is subsequently used to calculate the corresponding transport-related quantities. The results, which provide detailed information about the eigenfunctions at different energies and degrees of randomness, are analyzed and discussed.