Non-abelian quantum Hall states -- exclusion statistics, K-matrices and duality

Authors
Publication date 2001
Journal Journal of Statistical Physics
Volume | Issue number 102
Pages (from-to) 421-469
Organisations
  • Faculty of Science (FNWI) - Institute of Physics (IoP) - Institute for Theoretical Physics Amsterdam (ITFA)
Abstract We study excitations in edge theories for non-abelian quantum Hall states, focussing on the spin polarized states proposed by Read and Rezayi and on the spin singlet states proposed by two of the authors. By studying the exclusion statistics properties of edge-electrons and edge-quasiholes, we arrive at a novel $K$-matrix structure. Interestingly, the duality between the electron and quasihole sectors links the pseudoparticles that are characteristic for non-abelian statistics with composite particles that are associated to the `pairing physics' of the non-abelian quantum Hall states.
Document type Article
Published at https://doi.org/10.1023/A:1004878231034
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