Edge-mode velocities and thermal coherence of quantum Hall interferometers

TL;DR

This paper investigates edge-mode velocities in quantum Hall droplets, revealing their dependence on filling fractions and Coulomb energy, and discusses implications for non-Abelian quasiparticle interference and thermal coherence.

Contribution

It provides comprehensive analysis of edge-mode velocities with realistic interactions, highlighting their scaling and impact on quantum Hall interferometry at various filling fractions.

Findings

Charge-mode velocity scales with filling fraction and Coulomb energy.

Significant difference between bosonic and fermionic mode velocities at nu=5/2.

Thermal coherence can be tuned via confining potential strength.

Abstract

We present comprehensive results on the edge-mode velocities in a quantum Hall droplet with realistic interaction and confinement at various filling fractions. We demonstrate that the charge-mode velocity scales roughly with the valence Landau level filling fraction and the Coulomb energy in the corresponding Landau level. At Landau level filling fraction nu = 5/2, the stark difference between the bosonic charge-mode velocity and the fermionic neutral-mode velocity can manifest itself in the thermal smearing of the non-Abelian quasiparticle interference. We estimate the dependence of the coherence temperature on the confining potential strength, which may be tunable experimentally to enhance the non-Abelian state.