Evading Anderson localization in a one-dimensional conductor with correlated disorder

TL;DR

This paper demonstrates that correlated disorder in a one-dimensional conductor can lead to extended states and non-zero Landauer resistance, challenging traditional localization theory and suggesting potential applications like narrow band light filters.

Contribution

It reveals that correlated disorder can induce delocalization in 1D conductors, contrary to standard Anderson localization predictions, and discusses experimental implications.

Findings

Presence of extended states due to correlated disorder

Non-zero Landauer resistance persists in infinite systems

Sharp transmission resonances in finite-length wires

Abstract

We show that a one dimensional disordered conductor with correlated disorder has an extended state and a Landauer resistance that is non-zero in the limit of infinite system size in contrast to the predictions of the scaling theory of Anderson localization. The delocalization transition is not related to any underlying symmetry of the model such as particle-hole symmetry. For a wire of finite length the effect manifests as a sharp transmission resonance that narrows as the length of the wire is increased. Experimental realizations and applications are discussed including the possibility of constructing a narrow band light filter.