Pair-distribution functions of correlated composite fermions

2005/04/30 by Arkadiusz Wojs, Arkadiusz Wójs, Daniel Wodzinski +2 · 2 citations
Mathematics · Physics and Astronomy · #Cluster (spacecraft) #Cluster size #Combinatorics #Composite fermion #Composite number #Computer science #Condensed matter physics #Distribution (mathematics) #Electron #Electronic structure #Fermion #Fractional quantum Hall effect #Landau quantization #Magnetic properties of thin films #Mathematical analysis #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.71.245331

published as Phys.Rev. B71 (2005) 245331 · submitted to PRB

arxiv created 2005/04/30 · openalex publication_date 2005/06/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Pair-distribution functions g(r) of Laughlin quasielectrons (composite fermions in their second Landau level) are calculated in the fractional quantum Hall states at electron filling factors \ensuremathν_e=4∕11 and 3∕8. A shoulder in g(r) is found, supporting the idea of cluster formation. The intra- and intercluster contributions to g(r) are identified, largely independent of \ensuremathν_e. The average cluster sizes are estimated; pairs and triplets of quasielectrons are suggested at \ensuremathν_e=4∕11 and 3∕8, respectively.

Citations

• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• Possible Reentrance of the Fractional Quantum Hall Effect in the Lowest Landau Level
• Two-Dimensional Magnetotransport in the Extreme Quantum Limit
• Quasiparticle interactions in fractional quantum Hall systems: Justification of different hierarchy schemes
• Fractional quantum Hall effect and Chern-Simons gauge theories
• Structures for interacting composite fermions: Stripes, bubbles, and fractional quantum Hall effect
• Hypernetted-chain study of broken rotational symmetry states for theν=13fractional quantum Hall effect and other fractionally filled Landau levels
• Fermi hypernetted-chain study of half-filled Landau levels with broken rotational symmetry
• Real Space Effective Interaction and Phase Transition in the Lowest Landau Level
• Nonabelions in the fractional quantum hall effect

Cited by

• The enigma of theν=2+3/8fractional quantum Hall effect
• Enigmatic4/11State: A Prototype for Unconventional Fractional Quantum Hall Effect