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

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.

6 pages, 4 figures

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Cited by in corpus (4)

• Single-particle localization in dynamical potentials
• The extended states in disordered 1D systems in the presence of the generalized $N$-mer correlations
• Transport and localization properties of excitations in one-dimensional lattices with diagonal disordered mosaic modulations
• Engineering complete delocalization of single particle states in a class of one dimensional aperiodic lattices: a quantum dynamical study