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

Abstract

The longitudinal and Hall resistances have recently been measured for quantum Hall bilayers at total filling $ν=1$ 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.