Band structure of the fractional quantum Hall effect

1992/08/13 by G. Dev, Gautam Dev, J. K. Jain · 4 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat

paper · pdf · doi:10.1103/physrevlett.69.2843

10 pages

arxiv created 1992/08/13 · openalex publication_date 1992/11/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The eigenstates of interacting electrons in the fractional quantum Hall phase typically form fairly well-defined bands in the energy space. We study systems of six and eight electrons for filling factor 3/7>\ensuremathν> 2) / 7 and show that composite fermion theory gives insight into the origin of these bands and provides an accurate and complete microscopic description of the strongly correlated many-body states in the low-energy bands. This implies that, somewhat like in Landau's Fermi liquid theory, there is a one-to-one analogy between the low-energy Hilbert space of strongly interacting electrons in the fractional quantum Hall effect and that of weakly interacting electrons in the integer quantum Hall effect.

Cited by

• Composite fermions in the neighborhood of ν=1/3
• Structures for interacting composite fermions: Stripes, bubbles, and fractional quantum Hall effect
• Fractional quantum Hall effect in the second Landau level: The importance of inter-composite-fermion interaction
• Composite fermions and Landau-level mixing in the fractional quantum Hall effect