## Abstract

We consider the edge states of the quantum Hall paired states, which were introduced as the ground-state wave function for (Formula presented) We propose that the paired Hall states such as the Haldane-Rezayi state and the Pfaffian state have the supersymmetry, and we clarify the exclusion statistics of the quasi-particle excitations. By use of an idea of the “restricted partition function” for the quasi-particle excitations and its relationship with the q-special functions, we explicitly compute the distribution functions for the quasi-particle. We also calculate the specific heat and show that our results coincide with previously reported results based on the conformal field theory. We further show that there is a duality between the Pfaffian state and the Haldane-Rezayi state.

Original language | English |
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Pages (from-to) | 4473-4476 |

Number of pages | 4 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 61 |

Issue number | 7 |

DOIs | |

Publication status | Published - 2000 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics