K-matrices for non-abelian quantum Hall states

Details K-matrices for non-abelian quantum Hall states K-matrices for non-abelian quantum Hall states

1999-08-19

arxiv.org/abs/cond-mat/9908285v1

Phys.Rev. B61 (2000) 10298-10302

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

LaTeX, 12 pages

Scientific paper

10.1103/PhysRevB.61.10298

Two fundamental aspects of so-called non-abelian quantum Hall states (the q-pfaffian states and more general) are a (generalized) pairing of the participating electrons and the non-abelian statistics of the quasi-hole excitations. In this paper, we show that these two aspects are linked by a duality relation, which can be made manifest by considering the K-matrices that describe the exclusion statistics of the fundamental excitations in these systems.

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