Fractional Statistics in the Fractional Quantum Hall Effect

2003/07/12 by Gun Sang Jeon, Kenneth L. Graham, Kenneth Graham +2 · 2 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #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 #Statistical physics #Statistics #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.91.036801

published as Phys. Rev. Lett. 91, 036801 (2003) · Phys. Rev. Lett., in press

arxiv created 2003/07/12 · openalex publication_date 2003/07/15 · arxiv updated 2018/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A microscopic confirmation of the fractional statistics of the quasiparticles in the fractional quantum Hall effect has so far been lacking. We calculate the statistics of the composite-fermion quasiparticles at nu=1/3 and nu=2/5 by evaluating the Berry phase for a closed loop encircling another composite-fermion quasiparticle. A careful consideration of subtle perturbations in the trajectory due to the presence of an additional quasiparticle is crucial for obtaining the correct value of the statistics. The conditions for the applicability of the fractional statistics concept are discussed.

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
• Two-Dimensional Magnetotransport in the Extreme Quantum Limit
• Quasiparticle interactions in fractional quantum Hall systems: Justification of different hierarchy schemes

Cited by

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