Proposed Measurement of an Effective Flux Quantum in the Fractional Quantum Hall Effect

1993/10/15 by J. K. Jain, Steven A. Kivelson, S. A. Kivelson +1 · 3 citations
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat

paper · pdf · doi:10.1103/physrevlett.71.3003

Latex

arxiv created 1993/10/15 · openalex publication_date 1993/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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, ϕ₀=hc/e. The multiplicity depends on the quasiparticle charges of the two FQHE liquids.

Citations

• Nonabelions in the fractional quantum hall effect

Cited by

• Nonequilibrated Counterpropagating Edge Modes in the Fractional Quantum Hall Regime
• Universal Periods in Quantum Hall Droplets
• Resonant Tunneling in the Fractional Quantum Hall Effect: Superperiods and Braiding Statistics