Internal entropy from heat current

TL;DR

This paper shows how heat and charge current measurements across a tunneling barrier can reveal the internal entropy of non-Abelian quasiparticles in fractional quantum Hall systems, aiding their identification.

Contribution

It introduces a method to infer the internal entropy of non-Abelian quasiparticles from heat and charge current measurements in quantum Hall systems.

Findings

Internal entropy affects heat current in quantum Hall tunneling.

Measurement of heat and charge currents can identify non-Abelian quasiparticles.

Method applicable to $ u=5/2$ fractional quantum Hall state.

Abstract

We demonstrate that the effective internal entropy of quasiparticles within the non-Abelian fractional quantum Hall effect manifests in the heat current through a tunneling barrier. We derive the electric current and heat current resulting from voltage and heat biases of the junction, taking into account the quasiparticles' internal entropy. We find that when the tunneling processes are dominated by quasiparticle tunneling of one type of charge, the effective internal entropy can be inferred from the measurement of the heat current and the charge current. Our methods may be used to conclusively identify non-Abelian quasiparticles, such as the anyons that emerge in the $\nu = 5/2$ fractional quantum Hall state.