Quasiparticle Interactions in Fractional Quantum Hall Systems: Justification of Different Hierarchy Schemes

Details Quasiparticle Interactions in Fractional Quantum Hall Systems: Justification of Different Hierarchy Schemes Quasiparticle Interactions in Fractional Quantum Hall Systems: Justification of Different Hierarchy Schemes

1999-08-21

arxiv.org/abs/cond-mat/9908304v1

Phys. Rev. B 61, 2846 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTeX, 10 pages, 7 EPS figures, submitted fo Phys.Rev.B

Scientific paper

10.1103/PhysRevB.61.2846

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 nu=n/(1+2pn), 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.

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