Role of correlations and off-diagonal terms in binary disordered one dimensional systems

TL;DR

This paper explores how correlations and off-diagonal terms influence the properties of one-dimensional binary disordered systems, revealing resonant energies and extending understanding of extended modes in such models.

Contribution

It introduces a transfer matrix approach to analyze correlated binary disorder, including off-diagonal effects, and compares analytical results with numerical simulations.

Findings

Identification of resonant energies in off-diagonal disorder

Recovery of known results for diagonal disorder

Analysis of dual random dimer model properties

Abstract

We investigate one dimensional tight binding model in the presence of a correlated binary disorder. The disorder is due to the interaction of particles with heavy immobile other species. Off-diagonal disorder is created by means of a fast periodic modulation of interspecies interaction. The method based on transfer matrix techniques allows us to calculate the energies of extended modes in the correlated binary disorder. We focus on $N$-mer correlations and regain known results for the case of purely diagonal disorder. For off-diagonal disorder we find resonant energies. We discuss ambiguous properties of those states and compare analytical results with numerical calculations. Separately we describe a special case of the dual random dimer model.