Selective Transport and Mobility Edges in Quasi-1D Systems with a Stratified Correlated Disorder

TL;DR

This paper analytically demonstrates that in quasi-1D waveguides with stratified correlated disorder, it is possible to achieve selective transparency and mobility edges, enabling control over wave propagation within specific frequency ranges.

Contribution

It generalizes the 1D transport theory to multi-mode waveguides with long-range correlated disorder, revealing the possibility of perfect transparency for certain modes.

Findings

Selective transparency can be engineered through long-range correlations.

Mobility edges are realizable in quasi-1D systems with correlated disorder.

The results have potential applications in waveguide and nanodevice design.

Abstract

We present analytical results on transport properties of many-mode waveguides with randomly stratified disorder having long-range correlations. To describe such systems, the theory of 1D transport recently developed for a correlated disorder is generalized. The propagation of waves through such waveguides may reveal a quite unexpected phenomena of a complete transparency for a subset of propagating modes. We found that with a proper choice of long-range correlations one can arrange a perfect transparency of waveguides inside a given frequency window of incoming waves. Thus, mobility edges are shown to be possible in quasi-1D geometry with correlated disorder. The results may be important for experimental realizations of a selective transport in application to both waveguides and electron/optic nanodevices.