Resistance due to vortex motion in the $\nu=1$ bilayer quantum Hall superfluid

TL;DR

This paper investigates how unpaired vortex motion affects resistance measurements in the $ u=1$ bilayer quantum Hall superfluid, providing explanations for observed qualitative features in recent experiments.

Contribution

It offers a theoretical analysis of vortex motion contributions to resistance in quantum Hall bilayers, addressing experimental observations.

Findings

Vortex motion significantly influences longitudinal and Hall resistances.

Qualitative features of experimental data can be explained by vortex dynamics.

Theoretical framework connects vortex behavior with measured resistances.

Abstract

The longitudinal and Hall resistances have recently been measured for quantum Hall bilayers at total filling $\nu=1$ in the superfluid state with interlayer pairing, both for currents flowing parallel to one another and for "counterflowing" currents in the two layers. Here I examine the contribution to these resistances from the motion of unpaired vortices in these systems, developing some possible explanations of various qualitative features of these data.