Delocalization in One-Dimensional Tight-Binding Models with Fractal Disorder

TL;DR

This paper explores how fractal disorder influences the transition between localized and extended electronic states in a one-dimensional tight-binding model, revealing a phase diagram and dynamic behavior changes.

Contribution

It introduces a phase transition diagram based on correlation and disorder strength, linking localization properties with wavepacket dynamics in fractal disordered systems.

Findings

Phase transition diagram from localized to extended states

Wavepacket dynamics change around the critical point

Correlation and disorder strength control localization-delocalization transition

Abstract

In the present work, we investigated the correlation-induced localization-delocalization transition in the one-dimensional tight-binding model with fractal disorder. We obtained a phase transition diagram from localized to extended states based on the normalized localization length by controlling the correlation and the disorder strength of the potential. In addition, the transition of the diffusive property of wavepacket dynamics is shown around the critical point.