Transport properties in bilayer Quantum Hall systems in the presence of a topological defect

TL;DR

This paper models how a bilayer Quantum Hall system with a topological defect affects transport properties, using conformal field theory, and aligns with recent experimental evidence of such defects.

Contribution

It introduces a conformal field theory model that naturally incorporates topological defects in bilayer Quantum Hall systems at specific fillings.

Findings

The model predicts the presence of topological defects in edge states.

Results agree with experimental observations of transport anomalies.

The Twisted Model captures the defect's impact on transport properties.

Abstract

Following a suggestion given in Phys. Lett. B 571(2003) 621, we show how a bilayer Quantum Hall system at fillings nu =1/p+1 can exhibit a point-like topological defect in its edge state structure. Indeed our CFT theory for such a system, the Twisted Model (TM), gives rise in a natural way to such a feature in the twisted sector. Our results are in agreement with recent experimental findings (Phys. Rev. B 72 (2005) 041305) which evidence the presence of a topological defect in the transport properties of the bilayer system.