Resonant Tunneling in the Fractional Quantum Hall Effect: Superperiods and Braiding Statistics

2006/03/21 by J. K. Jain, Jainendra K. Jain, Chuntai Shi · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Condensed matter physics #Electron #Fractional quantum Hall effect #Mathematics #Physics #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Quantum tunnelling #Statistical physics #Statistics #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.96.136802

published as Phys. Rev. Lett. 96, 136802 (2006) · Phys. Rev. Lett. in press

arxiv created 2006/03/21 · openalex publication_date 2006/04/04 · arxiv updated 2018/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study theoretically resonant tunneling of composite fermions through their quasibound 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 have possible relevance to a recent experimental study, and reveal many subtleties involved in deducing fractional braiding statistics.

Citations

• On the theory of identical particles
• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• Charge and statistics of quantum Hall quasi-particles — a numerical study of mean values and fluctuations
• Quantum Mechanics of Fractional-Spin Particles
• Fractional Statistics in the Fractional Quantum Hall Effect
• Two-Dimensional Magnetotransport in the Extreme Quantum Limit
• Proposed Measurement of an Effective Flux Quantum in the Fractional Quantum Hall Effect
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics

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