Quasiparticle Interactions in Fractional Quantum Hall Systems: Justification of Different Hierarchy Schemes
Mesoscale and Nanoscale Physics
2009-10-31 v1
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 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.
Keywords
Cite
@article{arxiv.cond-mat/9908304,
title = {Quasiparticle Interactions in Fractional Quantum Hall Systems: Justification of Different Hierarchy Schemes},
author = {Arkadiusz Wojs and John J. Quinn},
journal= {arXiv preprint arXiv:cond-mat/9908304},
year = {2009}
}
Comments
RevTeX, 10 pages, 7 EPS figures, submitted fo Phys.Rev.B