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

Eddy Ardonne*, Peter Bouwknegt, Kareljan Schoutens

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

We study excitations in edge theories for non-abelian quantum Hall states, focussing on the spin polarixed 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.

Original languageEnglish
Pages (from-to)421-469
Number of pages49
JournalJournal of Statistical Physics
Volume102
Issue number3-4
DOIs
Publication statusPublished - Feb 2001
Externally publishedYes

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