Dynamical Localization of the Chalker-Coddington Model far from Transition

TL;DR

This paper demonstrates dynamical localization in a quantum network model relevant to the quantum Hall effect, specifically away from the transition point, providing insights into the localization phenomena in such systems.

Contribution

It shows dynamical localization occurs at the edges of Landau bands away from the transition, advancing understanding of localization in quantum Hall systems.

Findings

Dynamical localization observed away from the transition point.

Numerical evidence supports localization at Landau band edges.

Insights into quantum Hall effect localization mechanisms.

Abstract

We study a quantum network percolation model which is numerically pertinent to the understanding of the delocalization transition of the quantum Hall effect. We show dynamical localization for parameters corresponding to edges of Landau bands, away from the expected transition point.