Resonant Anderson localization in segmented wires

TL;DR

This paper models random segmented 2D wires with circular bends, revealing resonant Anderson localization phenomena influenced by segment length and energy, with implications for electron transport regimes.

Contribution

It introduces a novel model of segmented wires with circular bends showing resonant Anderson localization, analyzing transport regimes across different energies and segment configurations.

Findings

Resonant Anderson localization occurs when segments are of similar length.

Transport regimes evolve from localized to diffusive to ballistic with energy.

Probability distributions shift from diffusive to localized as segments increase.

Abstract

We discuss a model of random segmented wire, with linear segments of 2D wires joined by circular bends. The joining vertices act as scatterers on the propagating electron waves. The model leads to resonant Anderson localization when all segments are of similar length. The resonant behavior is present with one and also with several propagating modes. The probability distributions evolve from diffusive to localized regimes when increasing the number of segments in a similar way for long and short localization lengths. As a function of the energy a finite segmented wire typically evolves from localized to diffusive to ballistic behavior in each conductance plateau.