Tunneling Between a Pair of Parallel Hall Droplets

TL;DR

This study investigates interwell tunneling in fractional quantum Hall systems using variational Monte Carlo, analyzing how tunneling spectra depend on magnetic field and layer separation to infer interwell correlations.

Contribution

It introduces a method to extract interwell correlations from tunneling spectral data in fractional quantum Hall bilayer systems.

Findings

Tunneling spectra vary with in-plane magnetic field and interwell spacing.

The method can distinguish different fractional quantum Hall states.

Results provide insights into interlayer correlations in quantum Hall systems.

Abstract

In this paper, we examine interwell tunneling between a pair of fractional quantum Hall liquids in a double quantum well system in a tilted magnetic field. Using a variational Monte Carlo method, we calculate moments of the intra-Landau level tunneling spectrum as a function of in-plane field component $B_{\parallel}$ and interwell spacing $d$. This is done for variety of incompressible states including a pair of $\nu=1/3$ layers ([330]), pair of $\nu=1/5$ layers ([550]), and Halperin's [331] state. The results suggest a technique to extract interwell correlations from the tunneling spectral data.