Resonant tunneling in fractional quantum Hall effect: superperiods and braiding statistics

TL;DR

This paper theoretically investigates resonant tunneling of composite fermions in fractional quantum Hall systems, revealing complex state transitions and highlighting challenges in experimentally determining fractional braiding statistics.

Contribution

It introduces a detailed theoretical model of resonant tunneling in fractional quantum Hall systems, emphasizing the nuanced interpretation of braiding statistics.

Findings

Multiple transition pathways of island states identified

Complex dependence on magnetic field and gate voltage

Implications for experimental detection of braiding statistics

Abstract

We study theoretically resonant tunneling of composite fermions through their quasi-bound states around a fractional quantum Hall island, and find a rich set of possible transitions of the island state as a function of the magnetic field or the backgate voltage. These considerations have possible relevance to a recent experimental study, and bring out many subtleties involved in deducing fractional braiding statistics.