Quasiparticle interactions in fractional quantum Hall systems: Justification of different hierarchy schemes

1999/08/21 by Arkadiusz Wojs, Arkadiusz Wójs, John J. Quinn · 11 citations
Computer Science · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.61.2846

published as Phys. Rev. B 61, 2846 (2000) · RevTeX, 10 pages, 7 EPS figures, submitted fo Phys.Rev.B

arxiv created 1999/08/21 · openalex publication_date 2000/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The pseudopotentials describing the interactions of quasiparticles in fractional quantum Hall (FQH) states are studied. Rules for the identification of incompressible quantum fluid ground states are found, based upon the form of the pseudopotentials. States belonging to the Jain sequence \ensuremathν=n(1+2pn)^\ensuremath-1, where n and p are integers, appear to be the only incompressible states in the thermodynamic limit, although other FQH hierarchy states occur for finite size systems. This explains the success of the composite Fermion picture.

Citations

• The fractional quantum Hall effect

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