Effect of disorder in specific realizations of multibarrier random systems

Abstract

A resonance formalism is used to study the effect of disorder in specific realizations of multibarrier random systems. We solve the periodic case and introduce disorder by allowing random values for the well widths. We analyze the motion of the complex poles of the $S$ matrix on the energy plane and calculate the resonant states for systems of fixed length as a function of the disorder strength. Our analysis of the eigenfunctions, the decay widths, and the Thouless criterion allows us to distinguish in general three different types of states: quasilocalized, intermediate, and border states.