Mechanism of particle-flux separation for the double-layer fractional quantum Hall effect

Abstract

We utilize the hopping expansion of the Chern-Simon theory to investigate the particle-flux separation (PFS) of the double-layer quantum Hall effect for the Halperin $(\ensuremath{\alpha},\ensuremath{\alpha},\ensuremath{\gamma})$ states. We find that there is a transition temperature separating two phases similar to those in the single-layer quantum Hall effect. The confinement-deconfinement transition temperature is estimated by employing the hopping expansion. We also see that the intralayer repulsive electron interaction enhances the PFS, while the interlayer interaction does not affect the PFS. It implies that the interaction among distinguished particles does not have an effect on such a strongly correlated electron system.