Chalker-Coddington model described by an S-matrix with odd dimensions

TL;DR

This paper introduces an asymmetric variant of the Chalker-Coddington model by adding an extra channel, leading to significantly different transport properties, with a numerical analysis of these effects and their relevance to real systems.

Contribution

It presents a novel asymmetric Chalker-Coddington model with an additional channel, expanding the understanding of quantum Hall transport phenomena.

Findings

Asymmetric model exhibits distinct transport behavior

Numerical results show significant differences from symmetric case

Relevance to realistic quantum Hall systems established

Abstract

The Chalker-Coddington network model is often used to describe the transport properties of quantum Hall systems. By adding an extra channel to this model, we introduce an asymmetric model with profoundly different transport properties. We present a numerical analysis of these transport properties and consider the relevance for realistic systems.