Even-Odd Effect in Spontaneously Coherent Bilayer Quantum Hall Droplets

TL;DR

This paper predicts an even-odd effect in Coulomb blockade spectra of bilayer quantum Hall droplets, revealing spontaneous interlayer phase coherence through exact diagonalization analysis.

Contribution

It introduces a novel even-odd effect in quantum Hall droplets, linking it to spontaneous interlayer coherence and drawing an analogy with superconducting systems.

Findings

Prediction of even-odd effect in Coulomb blockade spectra

Identification of spontaneous interlayer phase coherence

Analogy with superconducting Cooper pair fluctuations

Abstract

Using exact diagonalization in the disc geometry we predict a novel even-odd effect in the Coulomb blockade spectra of vertically coupled double quantum dots under an external magnetic field. The even-odd effect in the tunneling conductance is a direct manifestation of spontaneous interlayer phase coherence, and is similar to the even-odd resonance in the Cooper pair box problem in mesoscopic superconducting grains. Coherent fluctuations in the number of Cooper pairs in superconductors is analogous to the fluctuations in the relative number difference between the two layers in quantum Hall droplets.