Delocalization of states in two component superlattices with correlated disorder

TL;DR

This paper investigates how certain disordered superlattices can host delocalized electron and phonon states, challenging the typical expectation of localization in disordered systems, through analytical and numerical methods.

Contribution

It provides exact calculations of localization length and demonstrates the existence of delocalized states in disordered superlattices, supported by transmission coefficient analysis.

Findings

Localization length diverges at specific energies or frequencies.

Delocalized states exist for both electrons and phonons.

Numerical transmission calculations confirm analytical predictions.

Abstract

Electron and phonon states in two different models of intentionally disordered superlattices are studied analytically as well as numerically. The localization length is calculated exactly and we found that it diverges for particular energies or frequencies, suggesting the existence of delocalized states for both electrons and phonons. Numerical calculations for the transmission coefficient support the existence of these delocalized states.