# Flux superperiods and periodicity transitions in quantum Hall interferometers

## TL;DR

This paper explores flux superperiods in quantum Hall interferometers under strong screening, revealing conditions for anyonic phase observation and explaining periodicity transitions with implications for quantum physics.

## Contribution

It introduces the concept of flux superperiods in quantum Hall interferometers and explains their relation to the Byers-Yang theorem and anyonic statistics.

## Key findings

- Flux superperiods can occur in strongly screened regimes.
- Transition from flux superperiod to standard periodicity at a critical magnetic field.
- Reconciliation of superperiods with fundamental theorems in quantum physics.

## Abstract

For strongly screened Coulomb interactions, quantum Hall interferometers can operate in a novel regime: the intrinsic energy gap can be larger than the charging energy, and addition of flux quanta can occur without adding quasi-particles. We show that flux superperiods are possible, and reconcile their appearance with the Byers-Yang theorem. We explain that the observation of anyonic statistical phases is possible by tuning to the transition from a regime with constant chemical potential to a regime with constant particle density, where a flux superperiod changes to a periodicity with one flux quantum at a critical magnetic field strength.