Chirality induced Interface Currents in the Chalker Coddington Model

TL;DR

This paper investigates a Chalker-Coddington type model exhibiting chiral interface currents, demonstrating that the spectrum is fully absolutely continuous and topologically robust, indicating delocalization of transport along the interface.

Contribution

It proves the delocalization and topological nature of interface currents in a specific chiral model, independent of model details.

Findings

Absolutely continuous spectrum covers the entire unit circle.

Transport is delocalized along the interface.

Results are topologically robust and model-independent.

Abstract

We study transport properties of a Chalker-Coddington type model in the plane which presents asymptotically pure anti-clockwise rotation on the left and clockwise rotation on the right. We prove delocalisation in the sense that the absolutely continuous spectrum covers the whole unit circle. The result is of topological nature and independent of the details of the model.