K-matrices for non-Abelian quantum Hall states

Eddy Ardonne; Peter Bouwknegt

doi:10.1103/PhysRevB.61.10298

K-matrices for non-Abelian quantum Hall states

Eddy Ardonne, Peter Bouwknegt

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	10298-10302
Number of pages	5
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	61
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevB.61.10298
Publication status	Published - 2000
Externally published	Yes

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10.1103/PhysRevB.61.10298

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title = "K-matrices for non-Abelian quantum Hall states",

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.",

author = "Eddy Ardonne and Peter Bouwknegt",

year = "2000",

doi = "10.1103/PhysRevB.61.10298",

language = "English",

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pages = "10298--10302",

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T1 - K-matrices for non-Abelian quantum Hall states

AU - Ardonne, Eddy

AU - Bouwknegt, Peter

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0001007394

U2 - 10.1103/PhysRevB.61.10298

DO - 10.1103/PhysRevB.61.10298

M3 - Article

SN - 1098-0121

VL - 61

SP - 10298

EP - 10302

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 15

ER -

K-matrices for non-Abelian quantum Hall states

Abstract

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