K-matrices for non-Abelian quantum Hall states

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2000

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Ardonne, Eddy
Bouwknegt, Peter G.
Guruswamy, Sathya
Schoutens, Kareljan

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Physical Review B, 2000; 61(15):10298–10302

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Ardonne, Eddy; Bouwknegt, Peter; Guruswamy, Sathya; Schoutens, Kareljan

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Abstract

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 quasihole 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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School of Chemistry and Physics : Physics and Mathematical Physics

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© 2000 The American Physical Society

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