Simple model for a quantum wire III. Transmission of finite samples with correlated disorder

TL;DR

This paper investigates how correlations in disorder affect electron transport in finite quantum wires modeled by delta-potentials, showing that correlations can enhance transmission by increasing localization lengths.

Contribution

It introduces a continuous correlated disorder model for finite quantum wires and demonstrates improved transport properties due to extended states.

Findings

Correlations increase localization lengths in finite quantum wires.

Enhanced transmission occurs for short chain lengths.

Correlated disorder improves transport without creating truly extended states.

Abstract

The effect of a continuous model of correlations upon one-dimensional finite disordered quantum wires modeled by an array of delta-potentials, is analyzed. Although the model proposed is not able to include new truly extended states in the spectrum, the transport properties of a finite sample are noticeably improved due to the existence of states whose localization length is larger than the system size. This enhancement of transmission is maximized for relatively short chains.