Spin-singlet quantum Hall states and Jack polynomials with a prescribed symmetry

Benoit Estienne, B. Andrei Bernevig

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


We show that a large class of bosonic spin-singlet Fractional Quantum Hall model wavefunctions and their quasihole excitations can be written in terms of Jack polynomials with a prescribed symmetry. Our approach describes new spin-singlet quantum Hall states at filling fraction ν=2k2r-1 and generalizes the (k, r) spin-polarized Jack polynomial states. The NASS and Halperin spin-singlet states emerge as specific cases of our construction. The polynomials express many-body states which contain configurations obtained from a root partition through a generalized squeezing procedure involving spin and orbital degrees of freedom. The corresponding generalized Pauli principle for root partitions is obtained, allowing for counting of the quasihole states. We also extract the central charge and quasihole scaling dimension, and propose a conjecture for the underlying CFT of the (k, r) spin-singlet Jack states.

Original languageEnglish (US)
Pages (from-to)185-206
Number of pages22
JournalNuclear Physics B
Issue number2
StatePublished - Apr 11 2012

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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