Superconductivity of neutral modes in quantum Hall edges

TL;DR

This paper explores the emergence of superconductivity among neutral modes called neutralons in quantum Hall edges, proposing a quarteting pairing mechanism and discussing experimental implications for observing anyon interference.

Contribution

It introduces a novel neutralon superconductivity mechanism via quarteting, expanding understanding of neutral sector dynamics in quantum Hall systems.

Findings

Neutralon pairing leads to a new superconducting phase.

Quarteting replaces traditional pairing in neutral modes.

Potential for observing anyon interference in experiments.

Abstract

Edges of quantum Hall phases give rise to a multitude of exotic modes supporting quasiparticles of different values of charge and quantum statistics. Among these are neutralons (chargeless anyons with semion statistics), which were found to be ubiquitous in fractional quantum Hall matter. Studying and manipulating the neutral sector is an intriguing and interesting challenge, all the more so since these particles are accessible experimentally. Here we address the limit of strongly-interacting neutralons giving rise to neutralon superconductivity, where pairing is replaced by a quarteting mechanism. We discuss several manifestations of this effect, realizable in existing experimental platforms. Furthermore, this superconducting gapping mechanism may be exploited to facilitate the observation of interference of the accompanying charged anyons.