Thermopower as a Possible Probe of Non-Abelian Quasiparticle Statistics in Fractional Quantum Hall Liquids

TL;DR

This paper proposes that thermopower measurements can serve as a probe for non-Abelian quasiparticle statistics in fractional quantum Hall liquids by detecting entropy related to their quantum degeneracy.

Contribution

It introduces the idea that thermopower can reveal non-Abelian quasiparticle properties and measure their quantum dimension in quantum Hall systems.

Findings

Thermopower is enhanced in non-Abelian quantum Hall liquids.

Thermopower measures entropy per electron, which is affected by non-Abelian quasiparticles.

Potential to use thermopower as a diagnostic tool for non-Abelian statistics.

Abstract

We show in this paper that thermopower is enhanced in non-Abelian quantum Hall liquids under appropriate conditions. This is because thermopower measures entropy per electron in the clean limit, while the degeneracy and entropy associated with non-Abelian quasiparticles enhance entropy when they are present. Thus thermopower can potentially probe non-Abelian nature of the quasiparticles, and measure their quantum dimension.