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    Quasiparticles and excitons for the Pfaffian quantum Hall state

    Rodriguez, Ivan D. and Sterdyniak, A. and Hermanns, M. and Slingerland, Joost (2012) Quasiparticles and excitons for the Pfaffian quantum Hall state. Physical Review B, 85. 035128. ISSN 1098-0121

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    We propose trial wave functions for quasiparticle and exciton excitations of the Moore-Read Pfaffian fractional quantum Hall states, both for bosons and for fermions, and study these numerically. Our construction of trial wave functions employs a picture of the bosonic Moore-Read state as a symmetrized double layer composite fermion state. We obtain the number of independent angular momentum multiplets of quasiparticle and exciton trial states for systems of up to 20 electrons. We find that the counting for quasielectrons at large angular momentum on the sphere matches that expected from the CFT which describes the Moore-Read state's boundary theory. In particular, the counting for quasielectrons is the same as for quasiholes, in accordance with the idea that the CFT describing both sides of the FQH plateau should be the same. We also show that our trial wave functions have good overlaps with exact wave functions obtained using various interactions, including second Landau level Coulomb interactions and the 3-body delta interaction for which the Pfaffian states and their quasiholes are exact ground states. We discuss how these results relate to recent work by Sreejith et al. on a similar set of trial wave functions for excitations over the Pfaffian state as well as to earlier work by Hansson et al., which has produced trial wave functions for quasiparticles based on conformal field theory methods and by Bernevig and Haldane, which produced trial wave functions based on clustering properties and 'squeezing'.

    Item Type: Article
    Keywords: Quasiparticles; excitons; the Pfaffian quantum Hall state;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 4794
    Depositing User: Dr. Joost Slingerland
    Date Deposited: 05 Mar 2014 15:49
    Journal or Publication Title: Physical Review B
    Publisher: American Physical Society
    Refereed: Yes
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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