Bilayers and quasi-3D stacks of Jain series fractional quantum Hall states from parton construction

TL;DR

This paper models bilayer and quasi-3D stacks of Jain series fractional quantum Hall states using parton theory, revealing new gapless gauge excitations and distinct interlayer interactions.

Contribution

It introduces a parton-based description for layered fractional quantum Hall states and explores their unique gauge properties and potential 3D behaviors.

Findings

K-matrix theory for bilayers differs from decoupled layers

Quasi-3D systems exhibit gapless gauge excitations

Partons can move in 3D, modeling 3D quantum Hall-like states

Abstract

We present a description of bilayers and quasi-three dimensional stacks of Jain series of fractional quantum Hall states using their parton descriptions, and argue for them as candidate states when the interlayer Coulombic interaction is comparable to the intralayer Coulomb interaction. For the bilayers, a K-matrix theory is presented and shown to be different from decoupled or bonded layers. The quasi-3D systems have gapless gauge excitations and gapped partons that may be able to move about in the 3D, thus presenting a toy model for quantum Hall-like states in three dimensions.