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

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

2000-04-06

arxiv.org/abs/cond-mat/0004084v1

J.Statist.Phys. 102 (2001) 421-469

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

LaTeX2e, 40 pages

Scientific paper

10.1023/A:1004878231034

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.

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