Thermoelectric characteristics of ${\mathbb Z}_k$ parafermion Coulomb islands

TL;DR

This paper computes the thermoelectric power factor of ${\mathbb Z}_k$ parafermion quantum Hall states, showing its sensitivity to neutral modes, which could help identify non-Abelian quasiparticles in experiments.

Contribution

It provides a numerical analysis of thermoelectric properties of ${\mathbb Z}_k$ parafermion Coulomb islands using conformal field theory, highlighting their potential for experimental identification of non-Abelian states.

Findings

Power factor is sensitive to neutral degrees of freedom.

Potential to distinguish quantum Hall states with identical electric properties.

May confirm presence of non-Abelian quasiparticles like Fibonacci anyons.

Abstract

Using the explicit rational conformal field theory partition functions for the ${\mathbb Z}_k$ parafermion quantum Hall states on a disk we compute numerically the thermoelectric power factor for Coulomb-blockaded islands at finite temperature. We demonstrate that the power factor is rather sensitive to the neutral degrees of freedom and could eventually be used to distinguish experimentally between different quantum Hall states having identical electric properties. This might help us to confirm whether non-Abelian quasiparticles, such as the Fibonacci anyons, are indeed present in the experimentally observed quantum Hall states.