Proposed Measurement of an Effective Flux Quantum in the Fractional Quantum Hall Effect
J.K. Jain, S.A. Kivelson, and D.J. Thouless

TL;DR
This paper predicts that the resistance in a fractional quantum Hall effect system with an island will be periodic in flux, with a period related to an effective flux quantum determined by quasiparticle charges.
Contribution
It introduces a method to measure an effective flux quantum in FQHE systems considering quasiparticle charges, extending understanding of flux quantization.
Findings
Resistance is periodic in flux with a period equal to an odd multiple of the flux quantum.
The period depends on the quasiparticle charges of the FQHE liquids.
The predicted flux quantum can be measured experimentally.
Abstract
We consider a channel of an incompressible fractional-quantum-Hall-effect (FQHE) liquid containing an island of another FQHE liquid. It is predicted that the resistance of this channel will be periodic in the flux through the island, with the period equal to an odd integer multiple of the fundamental flux quantum, . The multiplicity depends on the quasiparticle charges of the two FQHE liquids.
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